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3668871bf27647f29800faa1e9fc02d4 | A voltage of 25\angle45° Vis applied to an impedance of 4 - j2\Omega. Determine the current in both rectangular and polar forms. | ["3.54\u2220-45\u00b0A in polar form and 2.5 - j2.5A in rectangular form", "5.0\u222034.2\u00b0A in polar form and 4.0 + j2.5A in rectangular form", "6.25\u222045\u00b0A in polar form and 3.125 + j4.42A in rectangular form", "2.5\u221a3\u222030\u00b0A in polar form and 2.165 + j1.25A in rectangular form", "2.5\u222045\u00b0A in polar form and 2.5 + j2.5A in rectangular form", "4.47\u222056.3\u00b0A in polar form and 2.5 + j3.89A in rectangular form", "1.5\u221a5\u222071.6\u00b0A in polar form and 1.25\u221a2 + j3.75\u221a2A in rectangular form", "2.5\u221a5\u222071.6\u00b0A in polar form and 1.35\u221a2 + j3.75\u221a2A in rectangular form", "2.5\u221a5\u222071.6\u00b0A in polar form and 1.25\u221a2 + j3.75\u221a2A in rectangular form", "2.5\u221a5\u222051.6\u00b0A in polar form and 1.25\u221a2 + j3.75\u221a2A in rectangular form"] | 2.5√5∠71.6°A in polar form and 1.25√2 + j3.75√2A in rectangular form | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": true, "subfield": "Circuits and Systems"} |
ed8ad3c9d3e04bf99074622021f9cd40 | The Charge-Coupled Device (CCD) is a type of semiconductor device that can convert optical images into ______ signals. | ["analog", "optical", "mechanical", "chemical", "manual", "biological", "audio", "physical", "digital", "thermal"] | digital | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": false, "subfield": "Microelectronics and Solid-State Electronics"} |
cc16c40b1f4b446694c241438d7de67d | RG-59 coaxial cable consists of an inner conductor having radius 0.292mm, an outer conductor having radius 1.855 mm, and a polyethylene spacing material having relative permittivity 2.25. Which is the capacitance per length of RG-59. | ["$74.1pF/m$", "$72.3pF/m$", "$50.0pF/m$", "$55.3pF/m$", "$69.9pF/m$", "$60.4pF/m$", "$63.5pF/m$", "$67.7pF/m$", "$65.6pF/m$", "$61.8pF/m$"] | $67.7pF/m$ | 7 | {"answer_letter": "H", "difficulty": "middle", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": true, "subfield": "Electromagnetic Field and Microwave Technology"} |
7ba9c9842be04ffab90f97861428b209 | After charging, if the distance between the plates of a parallel plate capacitor is increased to twice its original value, the force between the plates will be ( ) of the original force. | ["1/2 times", "4 times", "1/4 times", "2 times", "1 time", "1/5 times", "5 times", "1/3 times", "1/6 times", "3 times"] | 1 time | 4 | {"answer_letter": "E", "difficulty": "middle", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": false, "subfield": "Circuits and Systems"} |
8decb5feba4b473c802cb5ddc9662e08 | A 1-Mc/sec (300 meters wavelength) plane wave traveling in a normally dispersive, lossless medium has a phase velocity at this frequency of 3 × 10^8 meters/sec. The phase velocity as a function of wavelength is given by v =k\surd\lambda where k = constant. Find the group velocity. | ["0.5 \u00d7 10^8 meters/sec", "2 \u00d7 10^8 meters/sec", "3 \u00d7 10^8 meters/sec", "4 \u00d7 10^8 meters/sec", "0.75 \u00d7 10^8 meters/sec", "1.5 \u00d7 10^8 meters/sec", "2.25 \u00d7 10^8 meters/sec", "3.5 \u00d7 10^8 meters/sec", "1 \u00d7 10^8 meters/sec", "2.5 \u00d7 10^8 meters/sec"] | 1.5 × 10^8 meters/sec | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": true, "subfield": "Electromagnetic Field and Microwave Technology"} |
533ef394b1fd4f87b582bf20ae897aef | A coaxial cylindrical capacitor has an inner radius of $r_{1}=1 \, \mathrm{cm}$ and an outer radius of $r_{2}=4 \, \mathrm{cm}$, with a length of $l=0.5 \, \mathrm{m}$. The dielectric constant of the material between the plates is $4 \varepsilon_{0}$. An alternating current (AC) voltage is applied between the plates, given by $u=6000\sqrt{2} \sin(100\pi t) \, \mathrm{V}$. At $t=1.0 \, \mathrm{s}$, what is the displacement current density at any point between the plates? | ["$$\n{\\frac{8. 5 0 \\times1 0^{-6}} {r^3}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{2. 6 7 \\times1 0^{-5}} {r^3}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{6. 8 1 \\times1 0^{-5}} {r}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{5. 7 2 \\times1 0^{-5}} {r}} e_{\\theta} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{6. 8 1 \\times1 0^{-5}} {r^2}} e_{\\theta} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{7. 2 3 \\times1 0^{-5}} {r^2}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{3. 4 8 \\times1 0^{-5}} {r}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{9. 0 4 \\times1 0^{-6}} {r}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{4. 5 9 \\times1 0^{-4}} {r}} e_{r} \\mathrm{~ A / m}^{2}\n$$", "$$\n{\\frac{1. 2 9 \\times1 0^{-4}} {r}} e_{r} \\mathrm{~ A / m}^{2}\n$$"] | $$
{\frac{6. 8 1 \times1 0^{-5}} {r}} e_{r} \mathrm{~ A / m}^{2}
$$ | 2 | {"answer_letter": "C", "difficulty": "hard", "discipline": "Engineering", "field": "Electronic Science and Technology", "is_calculation": true, "subfield": "Electromagnetic Field and Microwave Technology"} |
0fe210ed1c8f458ba9bf1105b11faa01 | Who is the German philosopher, born on February 14, 1895, in Stuttgart, who was one of the founders of the Frankfurt School? | ["Theodor W. Horkheimer", "Herbert Adorno", "Theodor W. Marcuse", "Herbert Marcuse", "Theodor W. Adorno", "Max Horkheimer", "Herbert Horkheimer", "Theodor Adorno"] | Max Horkheimer | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Philosophical Aesthetics"} |
cca3c3f932284f23a288fd2a742ae5b9 | Which faction is Lasso's representative? | ["Rococo society", "Gothic assembly", "Modernist group", "Medieval circle", "Victorian club", "Renaissance league", "Classical coalition", "Flemish school", "Baroque movement", "Impressionist faction"] | Flemish school | 7 | {"answer_letter": "H", "difficulty": "easy", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Philosophical Aesthetics"} |
fa25856b445e4ebc8eb7ce4acf089f8e | Which of the following is characteristic of scholasticism? | ["Deep empirical skepticism", "Broad metaphysical exploration", "Strong existential questioning", "Minor religious tolerance", "Profound spiritual enlightenment", "Purely scientific validation", "Extreme theological dogmatism", "Major philosophical liberalism", "Basic ethical pragmatism", "Wide historical determinism"] | Extreme theological dogmatism | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Philosophical Aesthetics"} |
402278cd93d44e12b44a5e761a46ca49 | "New forces and new doctrines have arisen to challenge the orthodox liberalism of the 19th century. Utopian and other socialists have fired several skirmish shots, now it is the turn of the heavy artillery." What does the "heavy artillery" refer to? | ["Classical Liberalism", "Scientific Socialism", "Historical Materialism", "Renaissance Movement", "Neoliberalism", "Utopian Socialism", "Marxism", "Classical Marxism", "Social Darwinism"] | Scientific Socialism | 1 | {"answer_letter": "B", "difficulty": "middle", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Ethics"} |
94b0685f1d4f4f8c8b7775652739fa69 | Logical equivalence, logical entailment, and logical consistency are related to each other in interesting ways, but they are not identical. Answer the following true or false questions about the relationships between these concepts.
a. If φ is equivalent to ψ, then φ entails ψ.
b. If φ is equivalent to ψ, then φ is consistent with ψ.
c. If φ entails ψ, then φ is equivalent to ψ.
d. If φ entails ψ, then φ is consistent with ψ.
e. If φ is consistent with ψ, then φ is equivalent to ψ.
f. If φ is consistent with ψ, then φ entails ψ. | ["true, true, false, true, false, false", "false, true, false, false, true, true", "false, false, false, true, true, true", "true, false, false, false, false, false", "true, true, true, false, false, false", "false, false, true, true, true, false", "true, false, false, true, false, true", "true, false, true, false, false, false", "false, true, false, true, false, false", "true, true, false, false, false, false"] | true, false, false, false, false, false | 3 | {"answer_letter": "D", "difficulty": "hard", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Logic"} |
761e490a786e42daa2c2fc4d9f6a65c9 | How many of the following logical argument forms and inferences are valid?
1. All S are P. Therefore, some S are P.
2. Some S are P. Therefore, some P are S.
3. No S are P. Therefore, it is not the case that some S are P.
4. Some S are P. Therefore, it is not the case that all S are P.
5. All S are P. Therefore, it is not the case that no S are P.
6. If not p, then q; p, therefore q.
7. p if and only if q; not p, therefore not q.
8. If p, then q; not p, therefore not q.
9. Only if p, then q; not q, therefore not p.
10. If and only if p, then q; not p, therefore not q. | ["3", "7", "8", "0", "6", "4", "5", "2", "1", "9"] | 4 | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "Philosophy", "field": "Philosophy", "is_calculation": false, "subfield": "Logic"} |
a1b0541e93e34fcba0ac8918008a8eca | Bitter-tasting medicine can treat _____. | ["Joint pain syndrome", "Muscle weakness syndrome", "Memory loss syndrome", "Chronic fatigue syndrome", "Blood clotting syndrome", "Constipation syndrome", "Night sweating syndrome", "Recurrent fever syndrome", "Insomnia syndrome", "Anxiety disorder syndrome"] | Constipation syndrome | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Medicine Theory"} |
ab78eba545b2449793a2933a3642a865 | The outer skin of Danshen root is () | ["Deep blue", "Pale white", "Clear gray", "Brick red", "Dark green", "Earth yellow", "Light purple", "Brownish", "Brown", "Yellow"] | Brick red | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Pharmacy"} |
62af7105b8b446738d4586bff2f03bf4 | Acupoints for treating post-stroke urinary retention with fire needle include () | ["Zhongwan, Zhongji, Qihai, Shenshu", "Guanyuan, Qihai, Zhongji, Shenshu", "Zhongwan, Shenque, Qihai, Guanyuan", "Zhongwan, Qihai, Guanyuan, Shenshu", "Guanyuan, Zhongji, Qihai, Qugu", "Qihai, Guanyuan, Zhongji, Qugu", "Guanyuan, Qihai, Zhongji, Shenque", "Zhongwan, Guanyuan, Qihai, Shenshu", "Guanyuan, Qihai, Zhongji, Qugu", "Guanyuan, Zhongji, Qihai, Shenshu"] | Guanyuan, Zhongji, Qihai, Shenshu | 9 | {"answer_letter": "J", "difficulty": "middle", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Medicine Theory"} |
f28d81ab7c7440e8850024a1d396927e | Which of the following external syndromes is the main syndrome of Xiao Chaihu Tang? | ["Jueyin syndrome of neutral-type fever", "Taiyang syndrome of neutral-type fever", "Shaoyin syndrome of neutral-type fever", "Yangming syndrome of cold-type fever", "Shaoyang syndrome of neutral-type fever", "Taiyin syndrome of cold-type fever", "Jueyin syndrome of cold-type fever", "Shaoyang syndrome of cold-type fever", "Shaoyin syndrome of heat-type fever", "Jueyin syndrome of hot-type fever"] | Shaoyang syndrome of cold-type fever | 7 | {"answer_letter": "H", "difficulty": "middle", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Medicine Theory"} |
8c8908651e024bd7b86592279811a241 | An elderly woman, one week after an external infection and fever, suddenly developed weakness and softness in her limbs, dry skin, irritability and thirst, cough with little phlegm, sore throat, yellow and red urine, and dry stools. Her tongue is red with a yellow coating, and her pulse is fine and rapid. The appropriate treatment to select is () | ["Hu Qian Wan", "Qing Zao Jiu Fei Tang with added Huang Lian", "Qing Zao Jiu Fei Tang with added Mai Men Dong", "Sheng Yu Tang combined with Bu Yang Huan Wu Tang", "Shen Ling Bai Zhu San combined with Bu Zhong Yi Qi Tang", "Qing Zao Jiu Fei Tang with added Huang Qin", "Qing Zao Jiu Fei Tang", "Qing Zao Jiu Fei Tang with added Sheng Di", "Qing Zao Jiu Fei Tang with added Chuan Bei Mu", "Jia Wei Er Miao San"] | Qing Zao Jiu Fei Tang | 6 | {"answer_letter": "G", "difficulty": "hard", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Medicine Theory"} |
ec814c7206a045db83c722cd53a478ec | The patient has a hard abdominal mass with increasing pain, a yellowish color, a disfigured bone, a purplish tongue, no moss, and a weak pulse. What drugs should be used for treatment? | ["Qiwei Baizhu Powder mixed with Zhuyu Decoction", "Dabuyuan Jian combined with Tongjing Wan", "Shiquan Dabu Tang together with Zhenggu Zi Jin Dan", "Buzhong Yiqi Decoction combined with Shaofu Zhuyu Decoction", "Shen Qi Wan paired with Wu Wei Zi San", "Ba Zhe Tang combined with Huo Xue Dan", "Decoction of Six Noble Ingredients Combined with Four Substances Soup of Peach Blossom", "Baji Xiaodan Mixture combined with Zhi Gan Cao", "Dahuang Mudan Decoction mixed with Jia Wei Xiao", "Bazhen Tang combined with Huaji Wan"] | Bazhen Tang combined with Huaji Wan | 9 | {"answer_letter": "J", "difficulty": "hard", "discipline": "Medicine", "field": "Traditional Chinese Medicine", "is_calculation": false, "subfield": "Traditional Chinese Pharmacy"} |
9786947d4a0c4e4782d9f154f96d8060 | According to the World Bank, what percentage of global wealth is now made up of human resources? | ["54%", "65%", "58%", "84%", "34%", "64%", "47%", "44%", "74%", "55%"] | 64% | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Economics", "field": "Applied Economics", "is_calculation": false, "subfield": "Economic Statistics"} |
444aff89caab4e7f81cdc8966c73021d | Which of the following should be included in GDP? | ["Stocks purchased by teenagers", "Investments in personal portfolios", "Money saved in savings accounts", "Money saved by housewives", "Flour purchased by bakeries", "Flour purchased by housewives", "Money loaned by families", "all of which are not included", "stocks purchased by housewives", "Money invested in stocks"] | Flour purchased by housewives | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Economics", "field": "Applied Economics", "is_calculation": false, "subfield": "Economic Statistics"} |
5c324ad719d748298ac0e78c11526c78 | A small kiosk at the Atlanta airport carries souvenirs in the price range of $3.99 to $29.99, with a mean price of $14.75. The airport authorities decide to increase the rent charged for a kiosk by 5 percent. To make up for the increased rent, the kiosk owner decides to increase the prices of all items by 50 cents. As a result, which of the following will happen? | ["The mean price will increase by 50 cents, but the range of prices will decrease by 50 cents.", "The mean price will increase by 50 cents, but the standard deviation of prices will remain the same.", "The mean price will remain the same, but the standard deviation of prices will increase by 50 cents.", "The mean price will remain the same, but the range of prices will increase by 50 cents.", "The mean price and the range of prices will increase by 50 cents.", "The range of prices will increase by 50 cents, but the mean price and the standard deviation will remain the same.", "The standard deviation of prices will increase by 50 cents, but the mean price and the range will remain the same.", "The mean price and the standard deviation of prices will increase by 50 cents.", "The mean price, the range, and the standard deviation of prices will all remain the same.", "The range and standard deviation of prices will increase by 50 cents, but the mean price will remain the same."] | The mean price will increase by 50 cents, but the standard deviation of prices will remain the same. | 1 | {"answer_letter": "B", "difficulty": "middle", "discipline": "Economics", "field": "Applied Economics", "is_calculation": true, "subfield": "Economic Statistics"} |
94a7d182d51f48829e4752d3e8673f9e | In the relationship between enterprises, markets and governments, which of the following industrial regulation models is the one in which the government guarantees the market, the market guides enterprises, and social factors guarantee it? | ["Government-private balance industrial regulation", "Mixed-market regulatory approach", "Enterprise-supervised industrial regulation", "Government-led industrial regulation", "Industry-led industrial regulation", "Private-led industrial regulation", "Collaborative industry oversight model", "State-monitored enterprise regulation", "Market-focused government intervention", "Competitive market industrial regulation"] | Government-private balance industrial regulation | 0 | {"answer_letter": "A", "difficulty": "middle", "discipline": "Economics", "field": "Applied Economics", "is_calculation": false, "subfield": "Industrial Economics"} |
92377f42b58942bc8c95c55acf5d86a2 | A batch of mini cars are exported from Chengdu to Moscow. The Chinese side handles customs clearance procedures and the Russian side handles customs entry procedures. The price includes the freight and insurance from Chengdu to Moscow. According to the above transaction conditions, the applicable trade term is ( ). | ["DAP Moscow", "CFR Moscow", "CIF Moscow", "FOB Chengdu", "FCA Chengdu", "DDP Moscow", "CIP Moscow", "FAS Chengdu", "CPT Moscow", "EXW Chengdu"] | CIP Moscow | 6 | {"answer_letter": "G", "difficulty": "hard", "discipline": "Economics", "field": "Applied Economics", "is_calculation": false, "subfield": "International Trade"} |
dd1a6dc347f24ba38549043c7f1847ed | A supermarket near your home placed a coupon on your door today. Originally, milk priced at 3 yuan per bag (200ML) will be 2 yuan per bag next week if you use the coupon. Assuming the store has calculated that the price elasticity of demand for coupon users is -2, what is the price elasticity of demand for customers who do not use the coupon? | ["-0.75", "-1.25", "-2.5", "-1.0", "-2.0", "-1.75", "-1.5", "-0.5", "-0.67", "-0.25"] | -1.5 | 6 | {"answer_letter": "G", "difficulty": "hard", "discipline": "Economics", "field": "Applied Economics", "is_calculation": false, "subfield": "Quantitative Economics"} |
8609cee11f504201b4887fd5a2ae393d | What were the two great masterpieces completed by Carl Friedrich Gauss as a private scholar? | ["Disquisitiones Arithmeticae and Theoria motus corporum coelestium, pars tertia", "Disquisitiones Arithmeticae and Theoria combinationis erroribus minimis obnoxiae", "Disquisitiones Arithmeticae and Theoria motus corporum celestium, supplementum", "Disquisitiones Arithmeticae and Theoria motus corporum celestium", "Disquisitiones Arithmeticae and Theoria combinationis observationum erroribus minimis obnoxiae", "Disquisitiones Arithmeticae and Theoria motus corporum celestium, pars prior", "Disquisitiones Arithmeticae and Theoria motus corporum coelestium", "Disquisitiones Arithmeticae and Theoria residuorum biquadraticorum", "Disquisitiones Arithmeticae and Theoria residuorum biquadraticorum, commentatio secunda", "Disquisitiones Arithmeticae and Theoria motus corporum celestium, pars posterior"] | Disquisitiones Arithmeticae and Theoria motus corporum coelestium | 6 | {"answer_letter": "G", "difficulty": "easy", "discipline": "Science", "field": "Mathematics", "is_calculation": false, "subfield": "Number Theory"} |
4f67343face34cc4a2d6f63e2e0758f1 | The estimated computations required to crack a password of 6 characters from the 26 letter alphabet is ____. | ["134217728", "263144664", "8031810176", "141167095", "11881376", "456976", "278637897", "239240193", "308915776", "161052456"] | 308915776 | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Science", "field": "Mathematics", "is_calculation": true, "subfield": "Cryptography"} |
c2d1c5a5b9844a7bae4e211adee30a09 | The inflection points of the curve ( y = 3{x^4} - 4{x^3} + 1 ) are ( ). | ["(1, 11/27) and (2/3, 0)", "(1, 11/27) and (2/3, -1/27)", "(11/27, 2/3) and (1, 0)", "(2/3, -11/27) and (0, 1)", "(1, 11/27) and (2/3, 1)", "(2/3, -11/27) and (1, 0)", "(2/3, 11/27) and (1, 0)", "(11/27, 2/3) and (0, 1)", "(1, 11/27) and (0, 2/3)", "(2/3, 11/27) and (0, 1)"] | (2/3, 11/27) and (0, 1) | 9 | {"answer_letter": "J", "difficulty": "middle", "discipline": "Science", "field": "Mathematics", "is_calculation": true, "subfield": "Mathematical Analysis"} |
34ec38fcf00846e9aef0304a3e8813c1 | Given that there are 30 cars randomly distributed along a 6 km long road, find the probability that there are at least 4 cars in any 500 m segment of the road is (). | ["0.317", "0.487", "0.182", "0.289", "0.244", "0.456", "0.201", "0.374", "0.159", "0.138"] | 0.244 | 4 | {"answer_letter": "E", "difficulty": "middle", "discipline": "Science", "field": "Mathematics", "is_calculation": true, "subfield": "Probability and Statistics"} |
3fe28bc716c245ed80ddac64604a5d82 | $int_{{}}^{{}}{frac{sin 2x}{{{cos }^{2}}x+2sin x}dx}=$ | ["$-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}-1-sin x} right|+C$", "$-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1-sin x}{sqrt{2}+1+sin x} right|+C$", "$ln |{{cos }^{2}}x+2sin x|-frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$", "$-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}-1-sin x} right|+C$", "$-ln |{{cos }^{2}}x+2sin x|-frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$", "-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}-1+sin x} right|+C", "$ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$", "$-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1-sin x}{sqrt{2}-1+sin x} right|+C$", "$-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$", "-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}+1-sin x} right|+C"] | $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$ | 8 | {"answer_letter": "I", "difficulty": "hard", "discipline": "Science", "field": "Mathematics", "is_calculation": true, "subfield": "Mathematical Analysis"} |
d232efb7c32f468db6ad1fe71077ca73 | We now define an algorithm: The definition of a(n) is primes whose base-2 representation is also the base-3 representation of a prime, considering base-2 and base-3 representations as whole numbers without leading zeroes. Given the input x_list (a series of values): [55, 56, 57, 58, 59, 60, 61, 62, 63, 64], determine the corresponding output sequence y_list. | ["[1447, 1487, 1553, 1587, 1611, 1647, 1675, 1691, 1717, 1771]", "[1439, 1517, 1543, 1561, 1593, 1631, 1653, 1689, 1747, 1753]", "[1471, 1531, 1567, 1571, 1657, 1667, 1669, 1697, 1709, 1759]", "[1417, 1447, 1559, 1583, 1601, 1649, 1673, 1687, 1711, 1793]", "[1423, 1481, 1529, 1577, 1609, 1659, 1671, 1703, 1729, 1777]", "[1469, 1511, 1539, 1591, 1621, 1661, 1683, 1701, 1739, 1769]", "[1509, 1513, 1537, 1549, 1613, 1637, 1651, 1681, 1707, 1741]", "[1453, 1499, 1573, 1589, 1619, 1643, 1677, 1699, 1733, 1783]", "[1493, 1523, 1579, 1597, 1627, 1663, 1679, 1693, 1723, 1763]", "[1477, 1501, 1541, 1579, 1617, 1639, 1679, 1727, 1739, 1791]"] | [1471, 1531, 1567, 1571, 1657, 1667, 1669, 1697, 1709, 1759] | 2 | {"answer_letter": "C", "difficulty": "hard", "discipline": "Science", "field": "Mathematics", "is_calculation": true, "subfield": "Number Theory"} |
42225cbee8784bfdb5a1e2e97ec10348 | The density distribution of a thin, straight rod is $\rho = \rho_0 (a + l)$ ($\rho_0$ and $a$ are constants, $l$ is the distance measured from one end of the rod). The rod is floating vertically in a certain liquid. If the total length of the rod is $L$, and the volume of the portion of the rod above the liquid surface is $\frac{1}{n}$ of the $\textbf{Total volume of the rod}$, $\textbf{determine the density of the liquid}$ is(). | ["$$\n\\rho_{0} \\, \\frac{n} {n+1} \\Bigl( a+\\frac{l} {2} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {n-1} \\Bigl( a+\\frac{1} {l} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n+1} {n-1} \\Bigl( a+\\frac{l} {2} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{2n} {n-1} \\Bigl( a+\\frac{l} {3} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {2(n-1)} \\Bigl( a+\\frac{l} {3} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {2(n-1)} \\Bigl( a+\\frac{2l} {3} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n^2} {n-1} \\Bigl( a+\\frac{l} {2} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {n-1} \\Bigl( a+\\frac{l} {2} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {n+1} \\Bigl( a+\\frac{2l} {3} \\Bigr)\n$$", "$$\n\\rho_{0} \\, \\frac{n} {n-1} \\Bigl( a+\\frac{3l} {4} \\Bigr)\n$$"] | $$
\rho_{0} \, \frac{n} {n-1} \Bigl( a+\frac{l} {2} \Bigr)
$$ | 7 | {"answer_letter": "H", "difficulty": "easy", "discipline": "Science", "field": "Physics", "is_calculation": true, "subfield": "Thermodynamics"} |
69562595c0db4e989c390cbee10dfe8c | Electricity and magnetism connect to form | ["radio waves", "energy", "mass", "light", "ultrahigh-frequency sound", "chemical reactions", "low-frequency sound", "heat", "gravity", "nuclear power"] | light | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "Science", "field": "Physics", "is_calculation": false, "subfield": "Electrodynamics"} |
99b378bd11f14650912ab5f5e0fe2cd1 | In a vacuum, there are two infinitely large parallel plates with uniform charge densities. One plate has a charge density of $\sigma$, and the other has a charge density of $2\sigma$. What is the magnitude of the electric field strength between the two plates? | ["$\\frac{\\sigma}{3\\varepsilon_0}$", "$\\frac{\\sigma}{\\varepsilon}$", "$\\frac{2\\sigma}{\\varepsilon_0}$", "$0$", "$\\frac{5\\sigma}{2\\varepsilon_0}$", "$\\frac{3\\sigma}{2\\varepsilon_0}$", "$\\frac{\\sigma}{4\\varepsilon_0}$", "$\\frac{3\\sigma}{\\varepsilon_0}$", "$\\frac{\\sigma}{\\varepsilon_0}$", "$\\frac{\\sigma}{2\\varepsilon_0}$"] | $\frac{\sigma}{2\varepsilon_0}$ | 9 | {"answer_letter": "J", "difficulty": "middle", "discipline": "Science", "field": "Physics", "is_calculation": true, "subfield": "Electrodynamics"} |
bc9a0be33894442dbf817da54a54aa5c | Two speakers are driven by the same oscillator of frequency $f$. They are located a distance $d$ from each other on a vertical pole. An observer far away walks slowly, straight towards the lower speaker and his ears are at the same level as the lower speaker. Let $v$ represent the speed of sound and assume that there is no reflection from the ground.Let $n_{max}$ be the number of times the observer hears the minimum in sound intensity and let $\lambda = v/f$ be wavelength of the sound emitted. Choose the correct alternative(s). | ["A minimum occurs at $\\dfrac {4d^{2} - 2\\lambda^{2}}{4\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} - \\lambda^{2}}{8\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} + \\lambda^{2}}{4\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} - \\lambda^{2}}{6\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} - 3\\lambda^{2}}{4\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} + \\lambda^{2}}{8\\lambda}$", "$$n_{max} \\leq \\dfrac {d}{\\lambda} - 0.5$$", "A minimum occurs at $\\dfrac {4d^{2} + 9\\lambda^{2}}{12\\lambda}$", "A minimum occurs at $\\dfrac {4d^{2} - \\lambda^{2}}{4\\lambda}$"] | A minimum occurs at $\dfrac {4d^{2} - \lambda^{2}}{4\lambda}$ | 8 | {"answer_letter": "I", "difficulty": "middle", "discipline": "Science", "field": "Physics", "is_calculation": true, "subfield": "Acoustics"} |
eb78f399e33e4fde99373c2944da84ba | A sphere of radius $R$ and relative density $4$ is hanging with the help of a string such that it remains just inside water. The ratio force exerted by the liquid on upper and lower half of the sphere is (take ${P}_{atm}=0$) | ["$$2:5$$", "$$1:7$$", "1:4", "1:6", "$$1:3$$", "2:3", "1:8", "1:2", "$$1:5$$"] | $$1:3$$ | 4 | {"answer_letter": "E", "difficulty": "hard", "discipline": "Science", "field": "Physics", "is_calculation": true, "subfield": "Fluid Physics"} |
945c92a03e5847af8afe5d53e15dcb32 | Ice, water, and water vapor, each 1g, are in thermal equilibrium in a closed container, with a pressure of 4.58 mmHg and a temperature of 0.01°C. When this system is heated by 60 cal, the total volume remains constant, accurate to within 2%. What is the weight of the ice, water, and water vapor once equilibrium is reached ? | ["$$\nx \\approx0. 4 5 \\mathrm{g}, \\ \\ y \\approx1. 5 0 \\mathrm{g}, \\ \\ z \\approx1. 0 5 \\mathrm{g}\n$$", "$$\nx \\approx0. 1 9 \\mathrm{g}, \\ \\ y \\approx1. 6 0 \\mathrm{g}, \\ \\ z \\approx1. 2 1 \\mathrm{g}\n$$", "$$\nx \\approx0. 2 5 \\mathrm{g}, \\ \\ y \\approx1. 7 5 \\mathrm{g}, \\ \\ z \\approx1. 0 0 \\mathrm{g}\n$$", "$$\nx \\approx0. 3 0 \\mathrm{g}, \\ \\ y \\approx1. 5 0 \\mathrm{g}, \\ \\ z \\approx1. 2 0 \\mathrm{g}\n$$", "$$\nx \\approx0. 2 7 \\mathrm{g}, \\ \\ y \\approx1. 6 9 \\mathrm{g}, \\ \\ z \\approx1. 0 4 \\mathrm{g}\n$$", "$$\nx \\approx0. 3 5 \\mathrm{g}, \\ \\ y \\approx1. 4 5 \\mathrm{g}, \\ \\ z \\approx1. 2 0 \\mathrm{g}\n$$", "$$\nx \\approx0. 2 8 \\mathrm{g}, \\ \\ y \\approx1. 6 7 \\mathrm{g}, \\ \\ z \\approx1. 0 5 \\mathrm{g}\n$$", "$$\nx \\approx0. 2 2 \\mathrm{g}, \\ \\ y \\approx1. 8 0 \\mathrm{g}, \\ \\ z \\approx0. 9 8 \\mathrm{g}\n$$", "$$\nx \\approx0. 1 0 \\mathrm{g}, \\ \\ y \\approx1. 7 0 \\mathrm{g}, \\ \\ z \\approx1. 2 0 \\mathrm{g}\n$$", "$$\nx \\approx0. 1 5 \\mathrm{g}, \\ \\ y \\approx1. 8 0 \\mathrm{g}, \\ \\ z \\approx1. 0 5 \\mathrm{g}\n$$"] | $$
x \approx0. 2 5 \mathrm{g}, \ \ y \approx1. 7 5 \mathrm{g}, \ \ z \approx1. 0 0 \mathrm{g}
$$ | 2 | {"answer_letter": "C", "difficulty": "hard", "discipline": "Science", "field": "Physics", "is_calculation": true, "subfield": "Thermodynamics and Statistical Physics"} |
c2e0737345aa4265a3704101df9e65e3 | Among the following tumors, which one is malignant? | ["Fibroadenoma", "Hemangioma", "Pleomorphic Adenoma", "Asexual cell tumor", "Teratoma", "Meningioma", "Pituitary adenoma", "Osteoblastoma", "Lipoma", "Neuroma"] | Asexual cell tumor | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Oncology"} |
68bd93dd2fdf469f99bd31abe069944b | The main basis for differential diagnosis between pituitary diabetes insipidus (true diabetes insipidus) and nephrogenic diabetes insipidus is ( ). | ["Renal function tests", "Plasma glucose levels", "vasopressin test", "Medical history", "Blood pressure monitoring", "No water test", "Urine osmolality evaluation", "Serum insulin measurements", "CT examination", "Hyperosmotic saline test"] | vasopressin test | 2 | {"answer_letter": "C", "difficulty": "easy", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Internal Medicine"} |
08364628ab894d22bacb4f1ad57e720f | A 56 year old female comes to the ED complaining of moderate right eye pain, headache, and acute onset of blurry vision, which she describes as colored halos around lights. She was watching a movie at home with her husband about an hour ago when the pain began. On physical exam of her right eye, her pupil is mid-dilated and unresponsive to light. Her right eyeball is firm to pressure. Intraocular pressure (IOP) measured with tonometer is elevated at 36mmHg. Which of the following is the most appropriate emergency treatment? | ["Laser peripheral iridotomy", "Metipranolol ophthalmic solution", "Timolol ophthalmic solution", "NSAID ophthalmic solution", "Brimonidine ophthalmic solution", "Anti-cholinergic ophthalmic solution", "Betaxolol ophthalmic solution", "Epinephrine ophthalmic solution"] | Timolol ophthalmic solution | 2 | {"answer_letter": "C", "difficulty": "middle", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Ophthalmology"} |
13ecc085815a4b5bbb60c2131d55550c | What are the indications for nephrectomy in renal injury when the contralateral kidney is functioning normally? | ["Prior bladder injury with hydronephrosis on the unaffected side, high dose intravenous pyelogram was unrevealing, and the nephrogram showed nonfunctioning", "Subsequent bladder trauma with hydronephrosis on the injured side, low dose intravenous pyelogram was revealing, and the nephrogram showed partial function", "Previous renal stone with anuria on the affected side, medium dose intravenous pyelogram was revealing, and the nephrogram showed minimal function", "Prior ureteral injury with hydronephrosis on the injured side, high dose intravenous pyelogram was unrevealing, and the nephrogram showed nonfunctioning", "Initial ureteral injury without hydronephrosis on either side, low dose intravenous pyelogram was unrevealing, and the nephrogram showed nonfunctioning", "Former hydronephrosis without prior ureteral injury, low dose intravenous pyelogram was conclusive, and the nephrogram indicated full function", "Subsequent bladder trauma with regular urination, contrast cystography was normal, and the nephrogram showed partial function", "Later bladder trauma with cystitis on unaffected side, medium dose intravenous pyelogram was conclusive, and the nephrogram indicated partial function", "Subsequent ureteral injury with hydronephrosis on the opposite side, high dose intravenous pyelogram was revealing, and the nephrogram showed partial function", "Early hydronephrosis without previous ureteral injury, low dose intravenous pyelogram was revealing, and the nephrogram displayed full function"] | Prior ureteral injury with hydronephrosis on the injured side, high dose intravenous pyelogram was unrevealing, and the nephrogram showed nonfunctioning | 3 | {"answer_letter": "D", "difficulty": "middle", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Surgery"} |
933f999d89984b4ea9c59bffad3405ef | A 59-year-old man is brought to the emergency department by a coworker for right arm weakness and numbness. The symptoms started suddenly 2 hours ago. His coworker also noticed his face appears to droop on the right side and his speech is slurred. He has a history of hypertension, hyperlipidemia, type 2 diabetes, and peripheral arterial disease. He works as a partner at a law firm and has been under more stress than usual lately. His father died of a stroke at age 70. The patient has smoked a pack of cigarettes daily for the last 40 years. He drinks two pints (750 mL) of whiskey each week. He takes aspirin, atorvastatin, lisinopril, and metformin daily. He is 167.6 cm (5 ft 6 in) tall and weighs 104.3 kg (230 lb); BMI is 37 kg/m2. His temperature is 37.1°C (98.8°F), pulse is 92/min, respirations are 15/min, and blood pressure is 143/92 mm Hg. He is fully alert and oriented. Neurological examination shows asymmetry of the face with droop of the lips on the right. There is 3/5 strength in right wrist flexion and extension, and right finger abduction. Sensation to light touch and pinprick is reduced throughout the right arm. Which of the following is the strongest predisposing factor for this patient's condition? | ["Aspirin use", "Hypertension", "Increased stress", "Excessive alcohol intake", "Type 2 diabetes mellitus", "Hyperlipidemia", "Positive family history", "Obesity", "Positive family history of stroke", "Tobacco use"] | Hypertension | 1 | {"answer_letter": "B", "difficulty": "hard", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Emergency Medicine"} |
e0fcb4afcac247f9ac222a3d7a3e9402 | A 45-year old male has an acute attack of vertigo, vomiting and ataxia. The most likely diagnosis is Thrombosis of | ["Posterior cerebral artery", "Superior cerebellar artery with partial occlusion", "Posterior inferior cerebellar artery with proximal occlusion", "Middle cerebral artery", "Anterior inferior cerebellar artery", "Posterior inferior cerebellar artery", "Posterior inferior cerebellar artery with isolated lateral medullary syndrome", "Posterior inferior cerebellar artery with partial occlusion", "Posterior inferior cerebellar artery with distal occlusion", "Superior cerebellar artery"] | Posterior inferior cerebellar artery | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "Medicine", "field": "Clinical Medicine", "is_calculation": false, "subfield": "Neurology"} |
ab3ee1dc415d4499a3b6c9287977cfa6 | Who publicly demonstrated a face-matching system in 1970 that located anatomical features and calculated the distance ratio between facial features without human intervention? | ["Shigeru Kanade", "Takeo Kanade", "Shunichi Amari", "David Marr"] | Takeo Kanade | 1 | {"answer_letter": "B", "difficulty": "easy", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": false, "subfield": "Pattern Recognition"} |
3edebac266dc402b94ca88d9aaaed5ac | In object-oriented technology, the basic components of class diagrams are classes and ____. | ["Modules", "Operation", "Elements", "Character", "Attributes", "Association", "Objectives", "Functions", "Parameters", "Entities"] | Association | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": false, "subfield": "Advanced Programming Languages"} |
4b2a2c863b4e459283304231963c5323 | Now the mainstream storage system generally uses the relational database, which belong to the main advantages of the relational database?
I.can maintain data consistency in transaction processing
II.fast read and write and low cost
III.low cost of data update
IV.can perform complex queries such as Join | ["Only I and II", "Only I, III and IV", "Only IV", "Only II and IV", "Only I", "Only I and III", "Only III", "All of the above", "Only II", "Only I and IV"] | Only I, III and IV | 1 | {"answer_letter": "B", "difficulty": "middle", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": false, "subfield": "Databases"} |
1ec8f7af334d4fb48479f2bda2dfcc67 | The directory entry of a certain file system is composed of a filename and an index node number. If each directory entry is 64 bytes in length, with 4 bytes used to store the index node number and 60 bytes to store the filename, and the filename consists of lowercase English letters, then the maximum number of files that can be created in this file system is (). | ["$$2^{64}$$", "$$2^{20}$$", "$$2^{28}$$", "$$2^{16}$$", "$$2^{12}$$", "$$2^{8}$$", "$$2^{48}$$", "$$2^{32}$$", "$$2^{60}$$", "$$2^{24}$$"] | $$2^{32}$$ | 7 | {"answer_letter": "H", "difficulty": "middle", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": true, "subfield": "Operating Systems"} |
0cd2ad8858de4ea98835100c867727d0 | Given 16 processors numbered from 0 to 15 in an interconnected network with \( N = 16 \), the output of processor 13 connects to other processors based on the following interconnection functions:
1. \( \text{Cube}_3 \)
2. \( \text{PM2}_{-3} \)
3. \( \text{PM2}_0 \)
4. \( \sigma \)
5. \( \sigma(\sigma) \)
Which set of processors are interconnected with processor 13 for each interconnection function? | ["\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12, 14; \\text{PM2}_0: 14; \\sigma: 7; \\sigma(\\sigma): 7, 14 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12; \\text{PM2}_0: 14; \\sigma: 6; \\sigma(\\sigma): 6, 7 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12, 14; \\text{PM2}_0: 14; \\sigma: 7; \\sigma(\\sigma): 7, 12 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12, 5; \\text{PM2}_0: 14; \\sigma: 6; \\sigma(\\sigma): 7 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12, 5; \\text{PM2}_0: 14; \\sigma: 7; \\sigma(\\sigma): 7, 12 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 5; \\text{PM2}_0: 14, 13; \\sigma: 6, 7; \\sigma(\\sigma): 7 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12, 14; \\text{PM2}_0: 14, 12; \\sigma: 7; \\sigma(\\sigma): 7, 12 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12; \\text{PM2}_0: 12, 14; \\sigma: 7; \\sigma(\\sigma): 7, 12 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 12; \\text{PM2}_0: 12, 14; \\sigma: 7; \\sigma(\\sigma): 6, 7 \\)", "\\( \\text{Cube}_3: 5; \\text{PM2}_{-3}: 5; \\text{PM2}_0: 12, 14; \\sigma: 11, 14; \\sigma(\\sigma): 7 \\)"] | \( \text{Cube}_3: 5; \text{PM2}_{-3}: 5; \text{PM2}_0: 12, 14; \sigma: 11, 14; \sigma(\sigma): 7 \) | 9 | {"answer_letter": "J", "difficulty": "hard", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": true, "subfield": "Computer Architecture"} |
fab9efbeeade4b3386a70e33ec8934e3 | What is the iterative update formula for finding the mode $a^*_N$ of the posterior distribution in the Gaussian process classification model with the help of the Newton-Raphson formula ? | ["$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{X}_{N} )^{-1} \\left[ \\mathbf{s}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right]\n$$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{y}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{b}_{N} \\right]\n$$", "$$ \\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{s}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right] $$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right]\n$$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{Y}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right]\n$$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{Z}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\gamma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right]\n$$", "$$ \\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\mu}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right] $$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{Z}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{b}_{N} \\right]\n$$", "$$ \\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{Z}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\mathbf{t}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right] $$", "$$\n\\mathbf{a}_{N}^{\\mathrm{n e w}}=\\mathbf{C}_{N} ( \\mathbf{I}+\\mathbf{W}_{N} \\mathbf{C}_{N} )^{-1} \\left[ \\boldsymbol{\\lambda}_{N}-\\boldsymbol{\\sigma}_{N}+\\mathbf{W}_{N} \\mathbf{a}_{N} \\right]\n$$"] | $$
\mathbf{a}_{N}^{\mathrm{n e w}}=\mathbf{C}_{N} ( \mathbf{I}+\mathbf{W}_{N} \mathbf{C}_{N} )^{-1} \left[ \mathbf{t}_{N}-\boldsymbol{\sigma}_{N}+\mathbf{W}_{N} \mathbf{a}_{N} \right]
$$ | 3 | {"answer_letter": "D", "difficulty": "hard", "discipline": "Engineering", "field": "Computer Science and Technology", "is_calculation": false, "subfield": "Pattern Recognition"} |
9e2836fc2bc6482996ba6b08ef21e4b8 | Given an information rate of l $0^{6} \mathrm{\ b/s}$, what is the minimum channel bandwidth used to propagate this information with a 2PSK signal? What is the minimum channel bandwidth required to propagate this information with a QPSK signal? | ["$10^{6} \\, \\mathrm{Hz} \\,, 10^{6} \\, \\mathrm{Hz}$", "$5 \\times10^{6} \\, \\mathrm{Hz} \\,, 10^{5} \\, \\mathrm{Hz}$", "$10^{6} \\, \\mathrm{Hz} \\,,5 \\times10^{5} \\, \\mathrm{Hz}$", "$5 \\times10^{5} \\, \\mathrm{Hz} \\,, 5 \\times10^{5} \\, \\mathrm{Hz}$", "$10^{5} \\, \\mathrm{Hz} \\,, 5 \\times10^{6} \\, \\mathrm{Hz}$", "$2 \\times10^{5} \\, \\mathrm{Hz} \\,, 10^{5} \\, \\mathrm{Hz}$", "$2 \\times10^{6} \\, \\mathrm{Hz} \\,, 10^{6} \\, \\mathrm{Hz}$", "$5 \\times10^{6} \\, \\mathrm{Hz} \\,, 2 \\times10^{6} \\, \\mathrm{Hz}$", "$5 \\times10^{5} \\, \\mathrm{Hz} \\,, 10^{6} \\, \\mathrm{Hz}$", "$5 \\times10^{6} \\, \\mathrm{Hz} \\,, 10^{6} \\, \\mathrm{Hz}$"] | $10^{6} \, \mathrm{Hz} \,,5 \times10^{5} \, \mathrm{Hz}$ | 2 | {"answer_letter": "C", "difficulty": "easy", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": true, "subfield": "Communication Principles"} |
49fdf619887f45d1bc5dc169209acd54 | Which EAP method is considered the only one that vendors must ensure in WPA and WPA2? | ["EAP-MSCHAPv2", "EAP-TTLS", "EAP-MSCHAPv2-TLS", "EAP-PEAP-MSCHAPv2", "EAP-TTLS-PEAP-MSCHAPv2", "EAP-TTLS-PEAP", "EAP-PEAP", "EAP-TTLS-PAP", "EAP-TTLS-MSCHAPv2", "EAP-TLS"] | EAP-TLS | 9 | {"answer_letter": "J", "difficulty": "easy", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": false, "subfield": "Communication and Information Systems"} |
b3566377175a41ea9eb8d8e36f01120c | Calculate the half-power beamwidth $\mathrm{BW}$ of a symmetrical dipole with $l=0.25 \lambda$. | ["$82^{\\circ}$", "$77^{\\circ}$", "$83^{\\circ}$", "$90^{\\circ}$", "$75^{\\circ}$", "$70^{\\circ}$", "$76^{\\circ}$", "$78^{\\circ}$", "$80^{\\circ}$", "$85^{\\circ}$"] | $78^{\circ}$ | 7 | {"answer_letter": "H", "difficulty": "middle", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": true, "subfield": "Antenna and Radio Communication"} |
a7df86f1fa8849249bcc5e09cc0c3c6d | Which of the following does not conform to a linear shift invariant discrete time system? | ["A stable system with poles in the Z-plane unit circle is a stable system", "A functional system with poles outside the Z-plane unit circle doesn't become unstable", "An unstable system with poles within the Z-plane unit circle is a stable system", "A system having varying response irrespective of the input frequency can't be stable", "A stable system with varying frequency response cannot be stable", "A robust system with poles at the Z-plane unit rarefactions is a stable system", "A system with constant response despite variable frequency is an unstable system", "A consistent system with poles in the Z-plane just outside the unit circle", "An adjustable system with poles on the Z-plane unit circle remains a stable system", "A flexible system with varying response across different times is an unstable system"] | A stable system with poles in the Z-plane unit circle is a stable system | 0 | {"answer_letter": "A", "difficulty": "middle", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": false, "subfield": "Signal and Information Processing"} |
0fa712ebccaa4d23849cc1f4904445f4 | A sounding body of negligible dimension emitting a frequency of 150 Hz is dropped from a height. During its fall under gravity it passes near a balloon moving up with a constant velocity of 2 m/s one second after it stared to fall. The difference in the frequency observed by the man in balloon just before and just after crossing the body will be : (Given that - velocity of sound $= 300 m/s;\,\, g = 10 m/s^{2}$) | ["10", "18", "8", "4", "16", "11", "14", "6", "12", "13"] | 12 | 8 | {"answer_letter": "I", "difficulty": "hard", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": true, "subfield": "Signal and Information Processing"} |
814bda3c5f1c45e9bfe54210acfb627d | The optical cable loss is 2 dB/km, the system's average connection loss is 1.5 dB/km, and the connection loss at the optical source and detector is 1 dB each. The system margin is 6 dB, the optical transmitter power is -13 dBm, and the optical receiver sensitivity is -42 dBm. Assuming the system is a loss-limited system, calculate the maximum unrepeated transmission distance as ____. | ["3km", "9km", "5km", "11km", "6km", "4km", "10km", "8km", "2km", "7km"] | 6km | 4 | {"answer_letter": "E", "difficulty": "hard", "discipline": "Engineering", "field": "Information and Communication Engineering", "is_calculation": true, "subfield": "Optical Fiber Communication"} |
da3e3f5d32b8443da1f969ae90a5ab7f | What is the main function of a thermostatic valve in the control of a heating system? | ["Protect equipment", "Prevent backflow", "Alter temperature", "Manage energy flow", "Distribute heat", "Regulate flow", "Enhance comfort", "Control the heat source", "Monitor humidity", "Balance pressure"] | Regulate flow | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": false, "subfield": "Control Theory and Control Engineering"} |
2c53ddd4733f451780f013f0584d5392 | Automatic control systems can be divided into which two types according to the type of given signals? | ["Periodic systems, aperiodic systems", "Regular systems, irregular systems", "Cyclic systems, acyclic systems", "Open-loop systems, closed-loop systems", "Analog systems, digital systems", "Linear systems, nonlinear systems", "Frequent systems, infrequent systems", "Time-variant systems, time-invariant systems", "Simple systems, complex systems", "Continuous systems, discrete systems"] | Continuous systems, discrete systems | 9 | {"answer_letter": "J", "difficulty": "easy", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": false, "subfield": "Control Theory and Control Engineering"} |
74642392e6fc41b39e2714b92e17a751 | Increasing the proportional control coefficient of the controller has what impact on the output of the closed-loop system? | ["The bandwidth of the system decreases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is harmed. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system increases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system increases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is unaffected. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system decreases, the system response becomes slower, the overshoot increases, and the steady-state accuracy is unchanged. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system increases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system decreases, the system response becomes slower, the overshoot decreases, and the steady-state accuracy is harmed. Furthermore, the ability to resist high-frequency interference is enhanced.", "The bandwidth of the system increases, the system response becomes slower, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system decreases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system increases, the system response becomes slower, the overshoot decreases, and the steady-state accuracy is unchanged. Furthermore, the ability to resist high-frequency interference is reduced.", "The bandwidth of the system decreases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is enhanced."] | The bandwidth of the system increases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced. | 1 | {"answer_letter": "B", "difficulty": "middle", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": false, "subfield": "Control Theory and Control Engineering"} |
9595bb339398497aaa42e413a8895761 | Given the closed-loop characteristic equation of a negative feedback control system as $D(s) = s^4 + 3s^3 + 3s^2 + s + K^* s + 2K^*$, determine the range of the equivalent open-loop gain $K$ for which the system is stable and underdamped. | ["$0.05 < K < 1.3$", "$0.2 < K < 1.2$", "$0.12 < K < 1.38$", "$0.11 < K < 1.39$", "$0.13 < K < 1.37$", "$0.1 < K < 1.5$", "$0.1215 < K < 1.375$", "$0.14 < K < 1.36$", "$0.15 < K < 1.4$", "$0 < K < 1$"] | $0.1215 < K < 1.375$ | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": true, "subfield": "Guidance, Navigation and Control"} |
62da6e22df794dc48a50728eb723356e | A submarine is navigating in a convergence zone with a gain of 15 dB, emitting a line spectrum at a sound source level of 160 dB at 500 Hz. Another submarine, 30 miles away, is monitoring with an omnidirectional hydrophone. Assume the background noise is equivalent to deep-sea noise under sea state 3 conditions. If the receiving bandwidth of the second submarine is 100 Hz, with a detection probability of 50% and a false alarm probability of 0.20%, how much time should be observed in one pass using incoherent processing? | ["2.8s", "4.1s", "0.9s", "1.4s", "2.3s", "3.2s", "3.8s", "1.5s", "4.5s", "1.7s"] | 1.4s | 3 | {"answer_letter": "D", "difficulty": "hard", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": true, "subfield": "Guidance, Navigation and Control"} |
34309713991e4ed0adf3a8c2307b9d65 | Given the state equation of a linear time-invariant system as $\begin{bmatrix} \dot{x}_1(t) \\ \dot{x}_2(t) \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -2 & -3 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix} + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u(t), \quad x_0 = \begin{bmatrix} 1 \\ 1 \end{bmatrix}, \quad t \geq 0$, determine the complete response of the system when $u(t) = 1(t)$. | ["$\\begin{bmatrix}\\frac{1}{2} + 2e^{-t} - \\frac{3}{2}e^{-2t} \\\\-2e^{-t} - 3e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}\\frac{1}{2} + 2e^{-t} - \\frac{3}{2}e^{-2t} \\\\2e^{-t} + 3e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}e^{-t} + \\frac{1}{2} e^{-2t} + \\frac{1}{2} \\\\-e^{-t} + e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}e^{-t} + \\frac{1}{2} e^{-2t} + \\frac{1}{2} \\\\-e^{-t} - e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}\\frac{1}{2} + 2e^{-t} - \\frac{3}{2}e^{-2t} \\\\ -2e^{-t} + 3e^{-2t} \\end{bmatrix}$", "$\\begin{bmatrix}e^{-t} + \\frac{1}{2} e^{-2t} + \\frac{1}{2} \\\\e^{-t} - e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}e^{-t} + \\frac{1}{2} e^{-2t}- \\frac{1}{2} \\\\-e^{-t} - e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}\\frac{1}{2} - 2e^{-t} - \\frac{3}{2}e^{-2t} \\\\-2e^{-t} + 3e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}-e^{-t} + \\frac{1}{2} e^{-2t} + \\frac{1}{2} \\\\-e^{-t} - e^{-2t}\\end{bmatrix}$", "$\\begin{bmatrix}\\frac{1}{5} + 2e^{-t} + \\frac{3}{2}e^{-2t} \\\\-2e^{-t} + 3e^{-2t}\\end{bmatrix}$"] | $\begin{bmatrix}\frac{1}{2} + 2e^{-t} - \frac{3}{2}e^{-2t} \\ -2e^{-t} + 3e^{-2t} \end{bmatrix}$ | 4 | {"answer_letter": "E", "difficulty": "hard", "discipline": "Engineering", "field": "Control Science and Engineering", "is_calculation": true, "subfield": "Guidance, Navigation and Control"} |
57af2832113540099347f4484ca7ee7f | What is the theoretical basis of the long tail economy? | ["Plentiful Market Theory", "Oversupply Economics", "Copious Economy Theory", "Abundant Resource Theory", "Scarcity Economics", "Generous Economics Theory", "Excessive Supply Economics", "Bountiful Economics", "Ample Resources Theory", "Profuse Economic Principle"] | Bountiful Economics | 7 | {"answer_letter": "H", "difficulty": "easy", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Western Economics"} |
a26abae7ea4d47cdb63458601c3252fc | In October 1938, the National Government promulgated the "Regulations on the Management of Agriculture, Mining, Industry and Commerce in Emergency Periods", the purpose of which was __. | ["to reduce tariffs on imported goods", "to encourage private sector investment", "to implement a monopoly on the products of industrial and mining enterprises", "to limit the business scope of industrial and mining enterprises", "to decentralize economic planning", "to implement comprehensive control over the economy", "to strengthen the management of enterprises", "to establish new agricultural subsidies", "to increase foreign direct investment", "to promote international trade agreements"] | to implement comprehensive control over the economy | 5 | {"answer_letter": "F", "difficulty": "easy", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Economic History"} |
1451e337e4614b5797b52d40b104d208 | The demand curve for factors of production slopes downward to the right because | ["the marginal product of the factor increases", "the marginal product of the factor increases at a decreasing rate", "the marginal product of the factor decreases", "the marginal cost of the factor decreases", "the marginal revenue product of the factor decreases", "the marginal revenue of the factor decreases", "the factor's contribution to production exhibits decreasing returns to scale", "the marginal utility of the product produced by the factor decreases", "none of the above", "the marginal cost of the factor increases"] | the marginal product of the factor decreases | 2 | {"answer_letter": "C", "difficulty": "middle", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Western Economics"} |
86ccd6059d754109864672eb9dd54f91 | Which of the following are ways in which individual capital can grow? (Choose the option that includes all the correct statements)
I. Capital accumulation
II. Capital aggregation
III. Capital inflow
IV. Capital outflow
V. Capital centralization. | ["I, II, and III", "II, III, and IV", "Only II", "Only I", "I, II, and V", "I, III, and V", "II and V", "Only V", "II, IV, and V", "II, III, and V"] | II and V | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Political Economy"} |
27a05b6012944bbca42a2d701f2eca41 | Marx pointed out: 'Capitalist accumulation constantly, and in proportion to its capacity and scale, produces a relative, i.e., surplus or additional, population of workers that exceeds the average needs of capital for its own growth.' 'This surplus population is a necessary product of accumulation or the development of wealth on a capitalist basis, but this surplus population in turn becomes a lever for capitalist accumulation, and even a condition for the existence of the capitalist mode of production.' The above argument indicates that | ["Unemployment generated by capital accumulation is a result of the increasing demand for higher-skilled labor due to technological advancements.", "The cyclical nature of capitalist production requires a law of relative surplus population to adapt to it.", "Unemployment generated by capital accumulation is a result of the decreasing demand for labor due to technological advancements.", "Unemployment generated by capital accumulation is caused by the increase in the organic composition of capital due to the capitalist pursuit of cost reduction.", "Capitalist accumulation leads to an increasing trend in the scale of unemployment in capitalist society.", "Unemployment generated by capital accumulation is caused by the increase in the organic composition of capital due to the capitalist pursuit of efficiency.", "Unemployment generated by capital accumulation is caused by the decrease in the organic composition of capital due to the capitalist pursuit of cost reduction.", "Unemployment generated by capital accumulation is caused by the decrease in the organic composition of capital due to the capitalist pursuit of surplus value.", "Unemployment generated by capital accumulation is caused by the increase in the organic composition of capital due to the capitalist pursuit of surplus value.", "Relative surplus population is the supply of labor exceeding the demand for it by capital."] | Unemployment generated by capital accumulation is caused by the increase in the organic composition of capital due to the capitalist pursuit of surplus value. | 8 | {"answer_letter": "I", "difficulty": "hard", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Political Economy"} |
d7c9230658bf464b8d6fa4ce25a6dad6 | In a pine forest near Mount Fuji in Japan, there is a cluster of yellow buildings. Inside the factory, automatic machining centers, robots, and automated guided vehicles operate day and night without human supervision. The automatic machining center operates under the control of a computer in the control center. Automated guided vehicles move from one device to another, transporting materials and machine parts. Automated devices move quietly around the warehouse, and robots perform product inspection and packaging. On a 16,000 square meter site, all work is carried out under computer program control. The factory has 1,010 robots equipped with vision, which work together with CNC machines and automated guided vehicles. During the day, 19 staff members work in the control room, and at night, only two monitors are present. Similar "unmanned factories," although they have few workers performing direct labor, have seen capitalists' profits rapidly increase. Under the conditions of contemporary capitalist automation, the source of surplus value is | ["the surplus labor of the control room staff", "automated machinery and equipment", "the surplus labor of the control room staff and automated machinery combined", "scientific and technological innovation", "monopoly of production technology", "the surplus labor of hired workers", "the increased efficiency of automated systems", "the surplus labor of automated machinery and control room staff", "the surplus labor of automated machinery", "the surplus labor of the automated machinery and the control room staff combined"] | the surplus labor of hired workers | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "Economics", "field": "Theoretical Economics", "is_calculation": false, "subfield": "Political Economy"} |
967c69179c914b10912fc40ae18619dc | Under Chinese law,After joining a terrorist organization, A was instructed by the leader to kill B using an explosive method. A is guilty of (). | ["Participation in a terrorist organization and intentional homicide", "Conspiracy to commit explosion-related crime", "Indirect terrorism-related activity", "Intentional homicide", "Involuntary manslaughter through influence", "Assault with a deadly explosive", "Voluntary manslaughter through coercion", "Participation in a terrorist organization", "Explosion-related crime", "Attempted explosion-related crime"] | Participation in a terrorist organization and intentional homicide | 0 | {"answer_letter": "A", "difficulty": "easy", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "Criminal Law"} |
9906039daa264cc298bb988bb26cc6e3 | Time zones that adhere to the same time system are always defined by political boundaries, and the standard time used within these actual time zones is established by law, referred to as____. | ["legal time", "public time", "national time", "administrative time", "civil time", "regulated time", "official time", "governmental time", "constitutional time", "statute time"] | legal time | 0 | {"answer_letter": "A", "difficulty": "easy", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "Law and Social Governance"} |
df0f5e5d548643c4a89105585a0de201 | Technical staff member Zhang from a factory used his position to write a book titled 'Machine Tool Repair and Adjustment.' A dispute over the copyright of the book arose between Zhang and the factory. According to the law, the copyright of the book ( ). | ["the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially within its business scope for a limited period of one month", "the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially for a limited period of two years", "the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially for a limited period of six months", "the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially for a limited period of three years", "the book is a work made for hire, the copyright is enjoyed by Zhang, but the factory can use it within two years", "the book is a work made for hire, but without Zhang's consent, the factory cannot license a third party to use it preferentially", "belongs to Zhang, and is unrelated to the factory", "the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially within its business scope", "the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially within its business scope for a limited period of one year", "the copyright of the book is enjoyed by Zhang, but the factory has the right to use it preferentially for a limited period of one year"] | the copyright of the book is enjoyed by Zhang, and the factory has the right to use it preferentially within its business scope | 7 | {"answer_letter": "H", "difficulty": "middle", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "Civil and Commercial Law"} |
7b765bbbd8fa41c0858f8a39cf5ea0eb | Based on the international law principle of 'sovereign equality implies no jurisdiction over peers', what rights are included in the jurisdictional immunity enjoyed by diplomatic representatives in the host country, including judicial immunity, litigation immunity, and what other right? | ["Execution immunity", "Enforcement immunity", "Consular immunity", "Diplomatic immunity", "Legislative immunity", "Administrative immunity"] | Execution immunity | 0 | {"answer_letter": "A", "difficulty": "middle", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "International Law"} |
b74bb84f970c4522bd5ed5d2446f1641 | After having several drinks in a bar, a man and his friend drove by a large home with its lights out. With the man sitting in the passenger seat, the friend pulled the car over. They were feeling drunk and aggressive from the drinks. After discussing it, they decided it was a safe bet to enter the home and see what they could take. They broke in and took several bags of jewelry. While driving away, they were stopped and arrested for burglary. The passenger used the defense that he was too intoxicated to form the specific intent to enter the home for the purpose of committing a felony therein. Do the facts described here indicate that the defense will likely prevail at a trial on the merits? | ["Yes, because he was under the influence of alcohol and therefore cannot be held responsible for his actions.", "Yes, because he was in fact too intoxicated to form the intent needed to prove burglary.", "Yes, because the alcohol impaired his judgment, making it impossible for him to make a rational decision.", "No, because intoxication is never a defense to the commission of a felony.", "No, because they had the intent to commit the crime before they even entered the home.", "Yes, because he was the passenger and not the driver, thus was not directly involved in the act.", "No, because the facts indicate that he wasn't too intoxicated to form the necessary intent for burglary.", "Yes, because the feeling of being drunk and aggressive were not his natural mental state and therefore mens rea was defeated.", "No, because the act of discussing and deciding to commit the act shows intent, regardless of intoxication.", "No, because being intoxicated does not diminish the fact that a felony was committed."] | No, because the facts indicate that he wasn't too intoxicated to form the necessary intent for burglary. | 6 | {"answer_letter": "G", "difficulty": "hard", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "Criminal Law"} |
68d837b7307b4510875c53a009d82486 | A college student and her boyfriend lived together in a one-bedroom apartment in Los Angeles. They were engaged to be married when they purchased an undeveloped parcel of land on a hillside overlooking the Pacific. The deed, which was properly executed and recorded, named the student and the boyfriend as grantees, "not as tenants in common but as joint tenants with right of survivorship. "Thereafter, the boyfriend, who was experiencing financial difficulties, offered to sell the property to his co-worker. Without the student's knowledge, the boyfriend executed a deed that purported to convey the hillside property to the co-worker in fee simple. The boyfriend signed his name and forged the student's name. He then delivered the deed of conveyance to the co-worker, who paid the boyfriend $150,000, which was the fair market value of the property. The co-worker immediately recorded the deed received from the boyfriend. The common law joint tenancy is unmodified by statute. Title to the property in question is now in | ["the co-worker and the boyfriend as tenants in common.", "the co-worker, the student and the boyfriend as tenants in common.", "the co-worker and the student as joint tenants with right of survivorship.", "the boyfriend as owner in fee simple.", "the co-worker and the student as tenants in common.", "the co-worker and the boyfriend as joint tenants with right of survivorship.", "the co-worker as owner in fee simple.", "the boyfriend and the student as joint tenants with right of survivorship.", "the co-worker, the student and the boyfriend as joint tenants with right of survivorship.", "the student as owner in fee simple."] | the co-worker and the student as tenants in common. | 4 | {"answer_letter": "E", "difficulty": "hard", "discipline": "Law", "field": "Law", "is_calculation": false, "subfield": "Civil and Commercial Law"} |
704317a7d925457ab13aefc9c8915d93 | In what year did Edward Baker Jelks earn a Ph.D. in archaeology? | ["1964", "1969", "1960", "1968", "1965", "1967", "1963", "1962", "1966", "1961"] | 1965 | 4 | {"answer_letter": "E", "difficulty": "easy", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "Archaeology and Museology"} |
038cda958d78462a84a1c94f205beee8 | In which year was the town of Babanango, in the KwaZulu-Natal province of South Africa, founded? | ["1907", "1909", "1903", "1904", "1902", "1905", "1901", "1908", "1906", "1900"] | 1904 | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "Historical Geography"} |
5e32cf12093644ba8c27933c0d161945 | In the historical record, Mao Jiao persuaded King Ying Zheng of Qin with his eloquence, ultimately changing the king's mind. Among the points made by Mao Jiao, which one do you think ultimately moved King Ying Zheng, who had already killed 27 other persuaders? | ["Mao Jiao pointed out that the king now had only his mother left, appealing to his sense of family", "Mao Jiao suggested that if King Ying Zheng did not alter his approach, it would lead to a loss of support from his own advisors and generals, weakening his rule.", "Mao Jiao's willingness to face death moved the king", "Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to internal rebellion, threatening the stability of the Qin state.", "Mao Jiao's humiliation of King Ying Zheng made the king repent", "Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the nobility, weakening his position among the six states.", "Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the nobility, weakening his position within the Qin state.", "Mao Jiao emphasized the importance of mercy and forgiveness, suggesting that it would make the king appear more humane and just.", "Mao Jiao pointed out that if King Ying Zheng did not change his ways, his reputation among the six states would be damaged, affecting the unification of Qin.", "Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the people, weakening his authority."] | Mao Jiao pointed out that if King Ying Zheng did not change his ways, his reputation among the six states would be damaged, affecting the unification of Qin. | 8 | {"answer_letter": "I", "difficulty": "middle", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "World History"} |
32665fac88e64b269eed862ec89bb682 | In which month and year did American Vice-President Al Gore and Russian Prime Minister Viktor Chernomyrdin announce plans for a new space station, which eventually became the International Space Station? | ["October 1992.", "August 1993.", "March 1993.", "May 1993.", "July 1993.", "April 1993.", "September 1993.", "June 1993.", "October 1993.", "November 1993."] | September 1993. | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "World History"} |
4bc4e8bacc4b4438b6396d0a73d8031a | "First, Xue Wanche, the imperial son-in-law, was stripped of his name and exiled to Ningzhou as its governor. When he came to court, he became close to Yigai and expressed resentment towards him, saying, 'Now, even though I am ill in my feet, if placed in the capital, the rats would not dare to move.' He then plotted with Yigai, 'If there is a change in the state, we will support Prince Jing of Jing, the Grand Tutor, Yuanjing, as the leader.' Yuanjing's daughter was married to Yigai's younger brother, Yize, which led to frequent interactions between Yuanjing and Yigai. Yuanjing once claimed that he had a dream of holding the sun and the moon. Chai Lingwu, the son of Shao, was the imperial son-in-law and married to Princess Baling. He was appointed as the governor of Weizhou but stayed in the capital under the pretext of his wife's illness to seek medical treatment, and thus conspired with Yigai. Princess Gaoyang plotted to depose Yizhi and seize his titles and fiefs, and had someone falsely accuse Yizhi of being disrespectful to her. Yizhi also reported the crimes of Yigai and the princess, saying, 'Their sins are full and their evils ripe, I fear they will disgrace my family.' The emperor ordered Changsun Wujie to investigate, and further evidence of Yigai and the princess's treason was found." -- "Zizhi Tongjian" Tang Gaozong Yonghui Year 3 Which of the following was not a noble minister involved in the plot against Emperor Gaozong in the early years of his reign? | ["Fang Yizhi's brother, Fang Yize", "Fang Yigai", "Fang Yigai's brother, Fang Yize", "Fang Yizhi", "Fang Yizhi's cousin, Fang Yilong", "Changsun Wujie", "Yuanjing", "Fang Yize", "Chai Lingwu", "Princess Gaoyang"] | Changsun Wujie | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "World History"} |
ab9dc56fac9e43fa92d001ed796eeae9 | In the unearthed cultural relics, the items specifically used for the deceased are called funerary objects. Among the unearthed Song Dynasty porcelain, there are many porcelain pillows. We all have the experience of using pillows, and porcelain pillows are very hard, making them unsuitable for the living to use, so the porcelain pillows of the Northern Song Dynasty must have been specifically made for the deceased as funerary objects; moreover, porcelain pillows buried in tombs do not decay. If the following statements are true, which one most seriously weakens the above argument? | ["Funerary objects never bear instructional texts, but some unearthed Northern Song Dynasty porcelain pillows are inscribed with instructional phrases such as 'Find lodging before it gets late' and 'Return early if there is nothing to do.'\"", "Among the funerary objects, there are no items that the deceased used in life, as they are all specifically made for the afterlife.", "Some Northern Song Dynasty porcelain pillows have been found in residential sites, but they were also found in tombs, suggesting they were used by both the living and the deceased.", "Some Northern Song Dynasty porcelain pillows have been found in tombs alongside other funerary objects, but they were also found in residential sites, suggesting they were used by the living.", "Some Northern Song Dynasty porcelain pillows have been found in residential sites with decorative patterns that are commonly associated with funerary objects, suggesting they were used by the living but also had a symbolic meaning.", "During the writing of the 'Comprehensive Mirror to Aid in Government', Sima Guang used a hard pillow made of round wood.", "Some Northern Song Dynasty porcelain pillows have been found in tombs with decorative patterns that are commonly associated with funerary objects, suggesting they were intended for the deceased.", "Some Northern Song Dynasty porcelain pillows have been found with decorative patterns that are only used in living spaces, suggesting they were not intended for funerary use.", "Among the funerary objects, there are both items specifically for the deceased and items that the deceased enjoyed using in life."] | Funerary objects never bear instructional texts, but some unearthed Northern Song Dynasty porcelain pillows are inscribed with instructional phrases such as 'Find lodging before it gets late' and 'Return early if there is nothing to do.'" | 0 | {"answer_letter": "A", "difficulty": "hard", "discipline": "History", "field": "History", "is_calculation": false, "subfield": "Archaeology and Museology"} |
09818b6937ae49f6839371bc6c0e4502 | The autonomic nervous system in cardiovascular regulation belongs to ( ). | ["Navigator unit", "Intervening agent", "Regulatory network", "Activation mechanism", "Feedback module", "Control information", "Detection system", "Sensory apparatus", "Control system", "Controlled system"] | Control system | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": false, "subfield": "Human Anatomy and Histology-Embryology"} |
56f2b618b3e24a0b85c20fed2512bbe8 | When observing inulin, the material should be immersed in ( ) before being made into slices. | ["Acetic acid", "Chloral Hydrate", "Carbon tetrachloride", "Isopropyl alcohol", "Saline solution", "Glycerin", "Dilute hydrochloric acid", "Ether", "Ethanol", "Distilled water"] | Ethanol | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": false, "subfield": "Pathology and Pathophysiology"} |
644f7df43b18407ca5a37ffeb90c1d7a | The histological changes of tiger spotted heart are? | ["Red blood cell accumulation around myocardial fibers", "Fat deposition occurs in myocardial cells", "Sparse neutrophil aggregation among myocardial fibers", "Fat deposition occurs between myocardial fibers", "Slight elastin buildup occurs alongside myocardial fibers", "Broad collagen bands separate myocardial fibers", "Transparent protein bodies appear in myocardial cells", "Mild lymphocyte infiltration surrounds myocardial fibers", "Glycogen storage is found within myocardial cells", "Massive lymphocyte infiltration between myocardial fibers"] | Fat deposition occurs in myocardial cells | 1 | {"answer_letter": "B", "difficulty": "middle", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": false, "subfield": "Pathology and Pathophysiology"} |
873d26cec1364cbe8042e1b3c9df75bf | Which type of monosaccharide is absorbed the fastest by the small intestine? | ["Erythrose", "Ribose", "Sedoheptulose", "Fructose", "Galactose", "Mannose", "Trehalose", "Xylose", "Glucose", "Ribulose"] | Galactose | 4 | {"answer_letter": "E", "difficulty": "middle", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": false, "subfield": "Human Anatomy and Histology-Embryology"} |
4b571070d4274ed7a95903b2be5ef0ff | The average atomic number of elements contained in the main parts of the human body is very close to the average atomic number of air. If a dose of 1 roentgen is equivalent to 1 cm$^{3}$ of air absorbing 0.11 erg of energy, then how much energy is absorbed by 1 cm$^{3}$ of tissue in the human body at this dose? The density of the human body is 0.924 g/cm$^{3}$. | ["58.7 Erg", "71.3 Erg", "66.9 Erg", "45.2 Erg", "53.4 Erg", "78.6 Erg", "89.7 Erg", "62.8 Erg", "84.5 Erg", "95.1 Erg"] | 78.6 Erg | 5 | {"answer_letter": "F", "difficulty": "hard", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": true, "subfield": "Radiation Medicine"} |
ec93f023d1454ce39db0c464fa0c0ed5 | Hard X-rays for the study of fractures in bones should have a minimum wavelength of $10^{11} m$. The accelerating voltage for electrons in X-ray machine should be | ["< 144.2\\ kV", "$$< 124. 2\\ kV$$", "$$< 114.2\\ kV$$", "Between $60\\ kV$ and $70\\ kV$", "$$> 124.2\\ kV$$", "< 134.2\\ kV", "$$= 100\\ kV$$", "> 154.2\\ kV", "> 134.2\\ kV"] | $$< 124. 2\ kV$$ | 1 | {"answer_letter": "B", "difficulty": "hard", "discipline": "Medicine", "field": "Basic Medicine", "is_calculation": true, "subfield": "Radiation Medicine"} |
e913644c5a284d55babba74947976656 | In educational practice, what is the principle of training children to learn to rely on their own experience and ability to take the initiative in activities? | ["Collaboration principle", "Principle of activity", "The principle of comprehensiveness", "The principle of encouragement", "Heuristic principle", "The principle of engagement", "Support principle", "The principle of motivation", "The principle of independence"] | The principle of independence | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Education", "field": "Education", "is_calculation": false, "subfield": "Preschool Education"} |
9a798914a5a04e1c812d4af155b361bd | Teachers apply the processes and methods of previous teaching monitoring appropriately to the same or similar environment. What does this show about teachers' ability to monitor teaching? | ["Automatic from unconscious to conscious", "Increased sensitivity", "Enhanced observation skills", "Consistent evaluation", "Enhanced adaptability", "Reflexive understanding", "The mobility is gradually increasing", "Systematic approach", "From control to control", "Improved analytical skills"] | The mobility is gradually increasing | 6 | {"answer_letter": "G", "difficulty": "easy", "discipline": "Education", "field": "Education", "is_calculation": false, "subfield": "Theory of Curriculum and Instruction"} |
71234e9315ac4f99a5716789cfb42628 | American language educator Krashen proposed a series of hypotheses on second language acquisition, among which the most famous are the Monitor Hypothesis and () | ["Universal Grammar Hypothesis", "Output Hypothesis", "Affective Filter Hypothesis", "Comprehensible Input Hypothesis", "Comprehensible Output Hypothesis", "Interlanguage Hypothesis", "Natural Order Hypothesis", "Affective Output Hypothesis", "Input Hypothesis", "Interaction Hypothesis"] | Input Hypothesis | 8 | {"answer_letter": "I", "difficulty": "middle", "discipline": "Education", "field": "Education", "is_calculation": false, "subfield": "Theory of Curriculum and Instruction"} |
0fee80f96bfd499582fb27067bd3ab6f | Teaching design attaches great importance to the analysis of students, and attaches importance to stimulating, promoting, and assisting the occurrence and progress of students' internal learning process, so that () can happen to each student. | ["gradual knowledge recalling", "mental development boosts", "external educational aids", "cognitive abilities growth", "effective learning", "academic success", "learning skills", "creativity enhancement", "self-study ability", "innovation consciousness"] | effective learning | 4 | {"answer_letter": "E", "difficulty": "middle", "discipline": "Education", "field": "Education", "is_calculation": false, "subfield": "Educational Technology and Principles"} |
a4f5bc953fc14ec7b70b8070e3bbb849 | Which of the following situations in a middle-school classroom is most likely to diminish student's motivation to learn? | ["the teacher encourages students to collaborate on group assignments", "the teacher rewards students for participating in lively class discussions", "the teacher assigns excessive homework without understanding students' schedules", "the teacher provides detailed feedback on every student assignment", "the teacher incorporates real-world connections into lesson planning", "the teacher recognizes diverse learning styles in classroom activities", "the teacher routinely designs learning activities that are beyond student's cognitive level", "the teacher frequently assigns overly complex individual projects", "the teacher consistently enforces strict behavioral rules without explanation", "the teacher uses a variety of multimedia resources in lessons"] | the teacher routinely designs learning activities that are beyond student's cognitive level | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "Education", "field": "Education", "is_calculation": false, "subfield": "Educational Technology and Principles"} |
4bedf361dc9d46e6872ab49a443ea8c2 | What is the core of materials science? | ["Heat treatment techniques", "Surface coating processes", "Magnetic domain behaviors", "Mechanical durability tests", "Basic principles of alloying", "Crystal lattice arrangements", "Polymer molecular structures", "Elastic tensile properties", "Semiconductors fabrication", "Optical fiber communications"] | Basic principles of alloying | 4 | {"answer_letter": "E", "difficulty": "easy", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": false, "subfield": "Materials Physics and Chemistry"} |
6a92fc708eb1441d8ee1ac57126fda29 | What does H68 represent? | ["Regular bronze with an average Sn content of 32%", "Lead brass, with an average Cu content of 68%", "Normal brass with an average Zn content of 30%", "Normal brass with an average Cu content of 32%", "Standard copper with an average Zn content of 32%", "Common brass with an average Zn content of 28%", "Typical brass with an average Zn content of 35%", "Lead bronze, with an average Pb content of 68%", "Ordinary brass with an average Zn content of 32%", "Navy brass, with an average Zn content of 32%"] | Ordinary brass with an average Zn content of 32% | 8 | {"answer_letter": "I", "difficulty": "easy", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": false, "subfield": "Materials Physics and Chemistry"} |
14b9a5d57f7149c18674cd6c7f3197ee | Given a powder compact with an average particle size of 5 μm, after 2 hours of sintering, the neck growth rate is $x/r = 0.1$. If grain growth is not considered, calculate the time required to sinter the compact to a neck growth rate of $x/r = 0.2$ for each of the following mass transfer mechanisms: evaporation-condensation, diffusion, and dissolution-precipitation is (). | ["10h,40h,80h", "14h,56h,112h", "16h,64h,128h", "12h,48h,96h", "12h,36h,108h", "25h,100h,200h", "18h,72h,144h", "20h,80h,160h", "15h,60h,120h", "22h,88h,176h"] | 16h,64h,128h | 2 | {"answer_letter": "C", "difficulty": "middle", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": true, "subfield": "Materials Physics and Chemistry"} |
1b6c56fd792d42698313ee0199883a8d | When a binary alloy is at a low eutectic temperature, what is the degree of freedom of the system? | ["0", "8", "5", "7", "1", "4", "2", "3", "6", "9"] | 0 | 0 | {"answer_letter": "A", "difficulty": "middle", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": true, "subfield": "Materials Physics and Chemistry"} |
ccfcf554b43343bfb7d0d503298aca45 | When preparing $Al_2O_3$ ceramics, if the raw material particle size is 2μm, and it is held at the sintering temperature for 30 minutes, the measured grain size is 10μm. Then, after holding at the sintering temperature for 2 hours, what will the grain size be in μm? To inhibit grain growth, 0.2% MgO is added to the raw material, and it is held at the same sintering temperature for 2 hours. What will the grain size be in μm? | ["19\u03bcm,13\u03bcm", "25\u03bcm,18\u03bcm", "30\u03bcm,15\u03bcm", "17\u03bcm,15\u03bcm", "24\u03bcm,12\u03bcm", "26\u03bcm,18\u03bcm", "22\u03bcm,14\u03bcm", "23\u03bcm,20\u03bcm", "20\u03bcm,16\u03bcm", "21\u03bcm,17\u03bcm"] | 20μm,16μm | 8 | {"answer_letter": "I", "difficulty": "hard", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": true, "subfield": "Materials Physics and Chemistry"} |
be09ed9baadf4818ac9a5cc9ef7b0502 | The lattice constant of a known Cu crystal is $a=0.35 \mathrm{~nm}$, and the shear modulus is $G=4 \times 10^{4}$ MPa. There is a dislocation $b={\frac{a} {2}} \left[ \, \overline{{1}} \, 0 \, 1 \, \right]$, with a dislocation line direction of $\left[ \overline{{{1}}} 0 1 \right]$
. What is the strain energy of this dislocation? | ["$$\n3. 9 1 6 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 9 6 7 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 4 1 5 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 5 2 8 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 5 3 8 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 4 0 9 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 0 2 5 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n2. 3 7 4 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 2 4 1 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$", "$$\n3. 8 3 2 \\times1 0^{-9} ( \\mathrm{N \\cdot m / m} )\n$$"] | $$
3. 4 1 5 \times1 0^{-9} ( \mathrm{N \cdot m / m} )
$$ | 2 | {"answer_letter": "C", "difficulty": "hard", "discipline": "Engineering", "field": "Materials Science and Engineering", "is_calculation": true, "subfield": "Materials Physics and Chemistry"} |
aca2d8c81a2a41119c87efe3e0418fc9 | In the wiring method for high voltage power lines, what is the method called where a single circuit is drawn directly from the high voltage busbar in the substation to supply power directly to a workshop substation or high voltage electrical equipment, without branching any( ). | ["Open-loop wiring", "Branch circuit connection", "Point-to-multipoint layout", "Trunk style wiring", "Parallel circuit configuration", "Serial connection wiring", "Closed loop circuit setup", "Serial loop distribution", "Ring circuit connection"] | Trunk style wiring | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "Engineering", "field": "Electrical Engineering", "is_calculation": false, "subfield": "Power Systems and Automation"} |
dddc384dd3154e13ad826e8c37d26588 | What types of circuits are suitable for circuit analysis methods? | ["Circular distribution mesh", "Circular conduction system", "Linear conduction system", "Radial distribution network", "Distribution radial setup", "Network radial system", "Lateral delivery structure", "Parallel sourcing grid", "Computational networking model", "Serial connection network"] | Radial distribution network | 3 | {"answer_letter": "D", "difficulty": "easy", "discipline": "Engineering", "field": "Electrical Engineering", "is_calculation": false, "subfield": "Electrical Theory and New Technologies"} |
2403be4670f74e98b537dc79ecd4ecec | Which of the following is most likely to result in a significant loss of insulation strength during insulation aging? | ["Periodic changes in temperature", "Regular application of lubricants", "Sudden increases in voltage", "Frequent cleaning with soap", "Constant exposure to sunlight", "Daily mitigation of dust accumulation", "Occasional light water sprays", "Daily fluctuations in humidity", "Regular intervals of frost exposure", "Constant changes in barometric pressure"] | Periodic changes in temperature | 0 | {"answer_letter": "A", "difficulty": "middle", "discipline": "Engineering", "field": "Electrical Engineering", "is_calculation": false, "subfield": "High Voltage and Insulation Technology"} |
f92b5e80f82e4a60b4dfbc68dcb8c098 | A voltmeter has range $0\rightarrow V$ with a series resistance R. With a series resistance 2R, the range is $0\rightarrow V$'. The correct relation between v and v' is | ["$$v^{1} = 4v$$", "$$v^{1}> 2v$$", "$$v^{1} = \\frac{3}{2}v$$", "$$v^{1}=2v$$", "$$v^{1} >>2v$$", "$$v^{1} = \\frac{3}{4}v$$", "$$v^{1}<2v$$", "$$v^{1} = 3v$$", "$$v^{1} = \\frac{5}{2}v$$", "$$v^{1} = \\frac{4}{3}v$$"] | $$v^{1}<2v$$ | 6 | {"answer_letter": "G", "difficulty": "middle", "discipline": "Engineering", "field": "Electrical Engineering", "is_calculation": true, "subfield": "Electrical Theory and New Technologies"} |
85be4287145e40b1a4d47a105aafc40d | A galvanometer of resistance $100\Omega$ has $50$ divisions on its scale and has sensitivity of $20 \mu \ A$/division. It is to be converted to a voltmeter with three ranges, of $0-2 V, 0-10 V$ and $0-20 V$. The appropriate circuit to do so is : | ["$$R_1 = 1900 \\Omega$$\n$$R_2 = 8000 \\Omega$$\n$$R_3 = 10000 \\Omega$$", "$$R_1 = 1900 \\Omega$$\n$$R_2 = 9900 \\Omega$$\n$$R_3 = 19900 \\Omega$$", "$$R_1 = 1950 \\Omega$$", "$$R_1 = 19900 \\Omega$$\n$$R_2 = 9900 \\Omega$$\n$$R_3 = 1900 \\Omega$$", "$$R_1 = 2000 \\Omega$$\n$$R_2 = 8000 \\Omega$$\n$$R_3 = 10000 \\Omega$$", "$$R_1 = 1800 \\Omega$$", "$$R_1 = 1990 \\Omega$$", "$$R_1 = 1850 \\Omega$$"] | $$R_1 = 1900 \Omega$$
$$R_2 = 8000 \Omega$$
$$R_3 = 10000 \Omega$$ | 0 | {"answer_letter": "A", "difficulty": "hard", "discipline": "Engineering", "field": "Electrical Engineering", "is_calculation": true, "subfield": "Electrical Theory and New Technologies"} |
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