id
stringlengths 6
20
| source
stringclasses 6
values | instruction
stringlengths 11
5.18k
| input
stringlengths 0
306
| output
stringlengths 1
308
| rationale
stringlengths 0
2.9k
| subject
stringclasses 39
values | category
stringclasses 7
values |
|---|---|---|---|---|---|---|---|
allenai/sciq_9003
|
allenai/sciq
|
What function does a vacuole do for a cell?
A. reproduction
B. storage
C. division
D. transfer
|
B. storage
|
Most mature plant cells have a central vacuole that occupies more than 30% of the cell's volume. The central vacuole can occupy as much as 90% of the volume of certain cells. The central vacuole is surrounded by a membrane called the tonoplast . The central vacuole has many functions. Aside from storage, the main role of the vacuole is to maintain turgor pressure against the cell wall. Proteins found in the tonoplast control the flow of water into and out of the vacuole. The central vacuole also stores the pigments that color flowers.
|
high_school_biology
|
biology
|
|
pythonio_384
|
pythonio-mc
|
Program:
def Check_Vow(string, vowels):
final = [each for each in string if each in vowels]
return(len(final))
Input:
Check_Vow('true','AaEeIiOoUu')
Output:
|
C
|
code
|
computer_science
|
||
allenai/sciq_9628
|
allenai/sciq
|
Which plants sometimes colonize areas by disrupting interactions between native organisms?
A. denser exotic plants
B. carnivorous exotic plants
C. invasive exotic plants
D. bacteria exotic plants
|
C. invasive exotic plants
|
college_biology
|
biology
|
||
math_868
|
math_mc
|
In the figure, $m\angle A = 28^{\circ}$, $m\angle B = 74^\circ$ and $m\angle C = 26^{\circ}$. If $x$ and $y$ are the measures of the angles in which they are shown, what is the value of $x + y$? [asy]
size(150);
draw((0,5)--(0,0)--(15,0)--(15,5),linewidth(1));
draw((0,5)--(2,2)--(5,5)--(12,-2)--(15,5),linewidth(.7));
label("A",(0,5),N);
draw("B",(5,5),N);
draw("C",(15,5),N);
draw("$x^{\circ}$",(2.5,2.5),N);
draw("$y^{\circ}$",(12,-2),N);
draw((0,.5)--(.5,.5)--(.5,0),linewidth(.7));
draw((15,.5)--(14.5,.5)--(14.5,0),linewidth(.7));
[/asy]
|
A
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_4486
|
mmlu_aux_train
|
What is the correct explanation for why we have day and night on Earth?
A. The Sun orbits around the Earth.
B. Earth orbits around the Sun.
C. Earth turns on its axis.
D. The Sun turns on its axis.
|
C. Earth turns on its axis.
|
astronomy
|
physics
|
||
aquarat_62080
|
deepmind/aqua_rat
|
If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
Then 12 = ?
Hint: Its a logic Riddle not a mathematical riddle
|
A. 1 B. 2 C. 3 D. 4 E. 5
|
B. 2
|
B
2
As stated
2=12 => 12=2
Answer is B
|
formal_logic
|
mathematics
|
allenai/sciq_8258
|
allenai/sciq
|
What in science are very important so that we can compare experimental data from one lab to another and make sure we all are talking about the same thing?
A. uses measurements
B. available measurements
C. standard measurements
D. Conventional measurements
|
C. standard measurements
|
Standardized measurements make it possible for people everywhere to get the same amount of something. Note the red and white labels on the gas pump above. These labels certify that the gas pump has been checked and is pumping an accurate gallon of gas. Standard measurements in science are very important so that we can compare experimental data from one lab to another and make sure we all are talking about the same thing.
|
college_physics
|
physics
|
|
pythonio_672
|
pythonio-mc
|
Program:
def count_duplic(lists):
element = []
frequency = []
if not lists:
return element
running_count = 1
for i in range(len(lists)-1):
if lists[i] == lists[i+1]:
running_count += 1
else:
frequency.append(running_count)
element.append(lists[i])
running_count = 1
frequency.append(running_count)
element.append(lists[i+1])
return element,frequency
Input:
count_duplic([1,2,2,2,4,4,4,5,5,5,5])
Output:
|
A
|
code
|
computer_science
|
||
mmlu_aux_train_95645
|
mmlu_aux_train
|
the sun makes rounds around this planet
A. maybe
B. this is wrong
C. all of these
D. this is true
|
B. this is wrong
|
astronomy
|
physics
|
||
math_1743
|
math_mc
|
Let $S$ be the set of integers $n > 1$ for which $\tfrac1n = 0.d_1d_2d_3d_4\ldots$, an infinite decimal that has the property that $d_i = d_{i+12}$ for all positive integers $i$. Given that $9901$ is prime, how many positive integers are in $S$? (The $d_i$ are digits.)
|
C
|
math_Number Theory
|
mathematics
|
||
aquarat_67631
|
deepmind/aqua_rat
|
If GAVE is coded as 4657 and BAT is coded as 229. How is GATE coded?
|
A. 4697 B. 4967 C. 4976 D. 7496 E. 4796
|
A. 4697
|
g-4 a-6 e-7 from the code gate
t - 9 from bat
ANSWER:A
|
formal_logic
|
mathematics
|
math_556
|
math_mc
|
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)?
|
A
|
math_Counting & Probability
|
mathematics
|
||
aquarat_50139
|
deepmind/aqua_rat
|
6x – 5y + 3z = 22
4x + 8y – 11z = 7
5x – 6y + 2z = 12
Given the equations above, x + y + z = ?
|
A. 10 B. 12 C. 13 D. 14 E. 15
|
A. 10
|
(6x – 5y + 3z) - (5x – 6y + 2z ) = 22-12
or, x+y+z = 10
Option A is the ans
|
college_mathematics
|
mathematics
|
aquarat_41333
|
deepmind/aqua_rat
|
How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?
|
A. 1 B. 2 C. 3 D. 4 E. 5
|
C. 3
|
(C) 3 , with 2 we will have exactly 50%, so for more than 50% should be 3.
|
high_school_statistics
|
mathematics
|
math_1009
|
math_mc
|
The diagram shows a rectangle that has been dissected into nine non-overlapping squares. Given that the width and the height of the rectangle are relatively prime positive integers, find the perimeter of the rectangle.
[asy]draw((0,0)--(69,0)--(69,61)--(0,61)--(0,0));draw((36,0)--(36,36)--(0,36)); draw((36,33)--(69,33));draw((41,33)--(41,61));draw((25,36)--(25,61)); draw((34,36)--(34,45)--(25,45)); draw((36,36)--(36,38)--(34,38)); draw((36,38)--(41,38)); draw((34,45)--(41,45));[/asy]
|
C
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_92240
|
mmlu_aux_train
|
Life in the 2100s will be very different from life today. Between then and now many changes will take place. What will the changes be? The population is growing fast. There will be more people in the world and most of them will live longer than people do now. Computers will be much smaller and more useful, and there will be at least one in every home. And computer studies will be one of the important subjects in schools then. People will work fewer hours than they do now and they will have more free time for sports, watching TV and traveling. Traveling will be much easier and cheaper. More people will go to other countries on holiday. There will be changes in our food, too. Maybe no one will eat meat every day. Instead, they eat more fruit and vegetables. Maybe people will be healthier. Work in the future will be different, too. Dangerous and hard work canl be done by robots, because of this, many people will not have work to do. This will be a problem. There will be _ in the future.
A. small population
B. few changes
C. more people
D. few vegetables
|
C. more people
|
high_school_computer_science
|
computer_science
|
||
mmlu_aux_train_98189
|
mmlu_aux_train
|
If a patch of land gets six inches of rainfall each month, then that is the amount of the
A. storm
B. quiet
C. gathered moisture
D. puddles
|
C. gathered moisture
|
high_school_biology
|
biology
|
||
aquarat_54147
|
deepmind/aqua_rat
|
Which of the Conclusion is true fof the below statement
Statement : D @ M, M $ B, B ☆ R, R % T
Conclusion:
I. B ☆ D
II. B @ D
III. T ☆ M
|
A. Only I is true B. Only II is true C. Only III is true D. Only either I or II is true E. None is true
|
D. Only either I or II is true
|
D=M, M>B, B<R, R>T D=M>=B<R>T
B @ D True
T ☆ M True
Option D
|
formal_logic
|
mathematics
|
aquarat_7196
|
deepmind/aqua_rat
|
If GAVE is coded as 4657 and RAT is coded as 333. How is GATE coded?
|
A. 4673 B. 4367 C. 4637 D. 4763 E. 4376
|
C. 4637
|
g-4 a-6 e-7 from the code gate
t - 3 from bat
ANSWER:C
|
formal_logic
|
mathematics
|
allenai/sciq_6191
|
allenai/sciq
|
What element once commonly used in paint and gasoline has now been found to have dangerous effects?
A. niacin
B. chromium
C. plastic
D. lead
|
D. lead
|
lead: An element that was once commonly used in gasoline and paint, is now found to have dangerous effects, such as brain damage. Lead contamination has many harmful effects on the body.
|
high_school_chemistry
|
chemistry
|
|
math_846
|
math_mc
|
Point $P$ is inside equilateral $\triangle ABC$. Points $Q$, $R$, and $S$ are the feet of the perpendiculars from $P$ to $\overline{AB}$, $\overline{BC}$, and $\overline{CA}$, respectively. Given that $PQ=1$, $PR=2$, and $PS=3$, what is $AB$ in terms of radicals?
|
A
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_97347
|
mmlu_aux_train
|
A dry bush may burst into flames due to
A. raining skies
B. wetter air
C. higher temps
D. faster birds
|
C. higher temps
|
high_school_physics
|
physics
|
||
math_1206
|
math_mc
|
Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \ne 1.$ Let $\alpha = \omega + \omega^2 + \omega^4$ and $\beta = \omega^3 + \omega^5 + \omega^6.$ Then $\alpha$ and $\beta$ satisfy the quadratic
\[x^2 + ax + b = 0\]for some real numbers $a$ and $b.$ Enter the ordered pair $(a,b).$
|
A
|
math_Intermediate Algebra
|
mathematics
|
||
math_1260
|
math_mc
|
Find the minimum of the function
\[\frac{xy}{x^2 + y^2}\]in the domain $\frac{2}{5} \le x \le \frac{1}{2}$ and $\frac{1}{3} \le y \le \frac{3}{8}.$
|
A
|
math_Intermediate Algebra
|
mathematics
|
||
math_1768
|
math_mc
|
A palindrome is a number that reads the same forward and backward. What is the smallest 5-digit palindrome in base 2 that can be expressed as a 3-digit palindrome in a different base? Give your response in base 2.
|
D
|
math_Number Theory
|
mathematics
|
||
aquarat_95727
|
deepmind/aqua_rat
|
If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal:
|
A. 0 B. 2ab C. 2ab^4 – 6 D. 2ab^5-2b E. ab^5
|
D. 2ab^5-2b
|
f(x)=ax^5 – 3x^2 + ax^2 – x
f(b) = ab^5 – 3b^2 + ab^2 – b
f(-b) = -ab^5 – 3b^2 + ab^2 + b
f(b) - f(-b) = ab^5 – 3b^2 + ab^2 – b + ab^5 + 3b^2 - ab^2 – b
=2ab^5-2b
Answer D
|
college_mathematics
|
mathematics
|
allenai/sciq_5539
|
allenai/sciq
|
Convection generally involves the transfer of what type of energy?
A. thermal
B. radioactive
C. sunlight
D. magnetic
|
A. thermal
|
Convection currents transfer thermal energy through many fluids, not just hot water in a pot. For example, convection currents transfer thermal energy through molten rock below Earth’s surface, through water in the oceans, and through air in the atmosphere. Convection currents in the atmosphere create winds. You can see one way this happens in the Figure below . The land heats up and cools off faster than the water because it has lower specific heat. Therefore, the land gets warmer during the day and cooler at night than the water does. During the day, warm air rises above the land and cool air from the water moves in to take its place. During the night, the opposite happens. Warm air rises above the water and cool air from the land moves out to take its place.
|
conceptual_physics
|
physics
|
|
math_1071
|
math_mc
|
A tetrahedron with four equilateral triangular faces has a sphere inscribed within it and a sphere circumscribed about it. For each of the four faces, there is a sphere tangent externally to the face at its center and to the circumscribed sphere. A point $P$ is selected at random inside the circumscribed sphere. The probability that $P$ lies inside one of the five small spheres is closest to
$\mathrm{(A) \ }0 \qquad \mathrm{(B) \ }0.1 \qquad \mathrm{(C) \ }0.2 \qquad \mathrm{(D) \ }0.3 \qquad \mathrm{(E) \ }0.4$
|
D
|
math_Geometry
|
mathematics
|
||
allenai/sciq_4125
|
allenai/sciq
|
What is the most electron-pair bonds a nitrogen atom can participate in?
A. four
B. three
C. seven
D. five
|
A. four
|
Reactions and Compounds of Nitrogen Like carbon, nitrogen has four valence orbitals (one 2s and three 2p), so it can participate in at most four electron-pair bonds by using sp3 hybrid orbitals. Unlike carbon, however, nitrogen does not form long chains because of repulsive interactions between lone pairs of electrons on adjacent atoms. These interactions become important at the shorter internuclear distances encountered with the smaller, second-period elements of groups 15, 16, and 17. (For more information on internuclear distance, see Chapter 7 "The Periodic Table and Periodic Trends", Section 7.2 "Sizes of Atoms and Ions" and Chapter 8 "Ionic versus Covalent Bonding", Section 8.2 "Ionic Bonding". ) Stable compounds with N–N bonds are limited to chains of no more than three N atoms, such as the azide ion (N 3−). Nitrogen is the only pnicogen that normally forms multiple bonds with itself and other second-period elements, using π overlap of adjacent np orbitals. Thus the stable form of elemental nitrogen is N 2, whose N≡N bond is so strong (DN≡N = 942 kJ/mol) compared with the N–N and N=N bonds (DN–N = 167 kJ/mol; DN=N = 418 kJ/mol) that all compounds containing N–N and N=N bonds are thermodynamically unstable with respect to the formation of N2. In fact, the formation of the N≡N bond is so thermodynamically favored that virtually all compounds containing N–N bonds are potentially explosive. Again in contrast to carbon, nitrogen undergoes only two important chemical reactions at room temperature: it reacts with metallic lithium to form lithium nitride, and it is reduced to ammonia by certain microorganisms. (For more information lithium, seeChapter 21 "Periodic Trends and the ". ) At higher temperatures, however, N2 reacts with more electropositive elements, such as those in group 13, to give binary nitrides, which range from covalent to ionic in character. Like the corresponding compounds of carbon, binary compounds of nitrogen with oxygen, hydrogen, or other nonmetals are usually covalent molecular substances. Few binary molecular compounds of nitrogen are formed by direct reaction of the elements. At elevated temperatures, N2 reacts with H2 to form ammonia, with O2 to form a mixture of NO and NO2, and with carbon to form cyanogen (N≡C–C≡N); elemental nitrogen does not react with the halogens or the other chalcogens. Nonetheless, all the binary nitrogen halides (NX3) are known. Except for NF3, all are toxic,.
|
high_school_chemistry
|
chemistry
|
|
math_2213
|
math_mc
|
Let $P$ be the plane passing through the origin with normal vector $\begin{pmatrix} 1 \\ -2 \\ 1 \end{pmatrix}.$ Find the matrix $\mathbf{P}$ such that for any vector $\mathbf{v},$ $\mathbf{P} \mathbf{v}$ is the projection of $\mathbf{v}$ onto plane $P.$
|
A
|
math_Precalculus
|
mathematics
|
||
allenai/sciq_2240
|
allenai/sciq
|
What are ocean waves mainly caused by?
A. gravity
B. humidity
C. tides
D. wind
|
D. wind
|
Ocean waves are energy traveling through water. They are caused mainly by wind blowing over the water.
|
conceptual_physics
|
physics
|
|
mmlu_aux_train_92245
|
mmlu_aux_train
|
There has never been a better time than now to buy a new piece of technology, such as a computer. Technology usually starts out at a high price, but as time goes by it goes down in price. Now I've found that many new products are at good prices from the st art.There is no question about it This is a buyers' market for sure.! Also, as shopping on the Internet gets saf er , more people are trying to buy things in that way.The Net is where buyers can save money if they know of a few money-saving sites. The first things that a person should do is to compare the prices online stores.Sites such as pricesgrabber.com, techbargains.com, nextag.com and street prices.com will help you decide which store has the lowest price.The differences can be $500-$1000. Remember that many stores also have large discounts on many things at certain times of the year. But I'd rather sit in front of my computer in my comfortable chair of going shopping in crowded places What should come first if you want to shop online ? _
A. Cheap stores
B. Good prices
C. Safe Internet.
D. Good technology
|
C. Safe Internet.
|
college_computer_science
|
computer_science
|
||
NLP4Education_655
|
NLP4Education
|
Which of the following primitives cannot be instantiated with a cryptographic hash function?
A. A key-derivation function.
B. A pseudo-random number generator.
C. A public key encryption scheme.
D. A commitment scheme.
|
C. A public key encryption scheme.
|
computer_security
|
computer_science
|
||
NLP4Education_650
|
NLP4Education
|
Tick the \emph{incorrect} statement. When $x\rightarrow+\infty$ \ldots
A. $x^3 + 2x + 5 = \mathcal{O}(x^3)$.
B. $\frac{1}{x^2} = \mathcal{O}\left(\frac{1}{x}\right)$.
C. $2^{\frac{x}{\log x}} = \mathcal{O}(2^x)$.
D. $n^x = \mathcal{O}(x^n)$ for any constant $n>1$.
|
D. $n^x = \mathcal{O}(x^n)$ for any constant $n>1$.
|
college_mathematics
|
mathematics
|
||
aquarat_58481
|
deepmind/aqua_rat
|
For a certain exam,a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean.What was the mean score for the exam?
|
A. 74 B. 76 C. 78 D. 80 E. 82
|
B. 76
|
Mean-2SD=60
Mean+3SD=100
by solving above we get,
SD (absolute value)=8
Mean=76
Ans. B
|
high_school_statistics
|
mathematics
|
aquarat_92186
|
deepmind/aqua_rat
|
There is a 30% chance that Tigers will not win at all during the whole season. There is a 30% chance that Portugeese will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Portugeese will play during the season?
|
A. 55% B. 60% C. 70% D. 72% E. 80%
|
C. 70%
|
There is a 30% chance that Tigers will not win at all during the whole season
We can infer that there is 70% chance Tigers will win .
Similarly There is a 30% chance that Portugeese will not play at all in the whole season
We can also infer that there is 70% chance that Portugeese will play.
Answer C
|
high_school_statistics
|
mathematics
|
mmlu_aux_train_7947
|
mmlu_aux_train
|
Many people think of guys as being carefree when it comes to their appearance. But in fact, a lot of guys spend plenty of time in front of the mirror. 86 . Body image is a person's opinions and feelings about his or her own body and physical appearance. 87 . You appreciate your body for its capabilities and accept its imperfections. So, what can you do to develop a positive body image? Here are some ideas: Recognize your strengths. Different body types are good for different things. What does your body do well? Maybe your speed, strength, or coordination makes you better than others at a certain sport. That may be basketball, table tennis, mountain biking, dancing, or even running. Or perhaps you have non-sports skills, like drawing, painting, singing, playing a musical instrument, writing, or acting. 88 . Exercise regularly. Exercise can help you look good and feel good about yourself. Good physiques don't just happen. 89 . A healthy habit can be as simple as exercising 20 minutes to one hour three days a week. Working out can also lift your spirits. Respect your body! Practicing good habits --- regular showering; taking care of your teeth, hair, and skin; wearing clean clothes, and so on --- can help you build a positive body image. Your body is just one part of who you are. Your talent for comedy, a quick wit , and all the other things make you unique. So try not to let small imperfections take over.
A. Use this as an opportunity to discover what you're good at.
B. Be yourself.
C. They care just as much as girls do about their body image.
D. Just explore talents that you feel good about. E. They take hard work, regular workouts, and a healthy diet. F. The good news is that self-image and body image can be changed. G. Having a positive body image means feeling satisfied with the way you look.
|
C. They care just as much as girls do about their body image.
|
high_school_biology
|
biology
|
||
math_2210
|
math_mc
|
Let $z = \cos \frac{4 \pi}{7} + i \sin \frac{4 \pi}{7}.$ Compute
\[\frac{z}{1 + z^2} + \frac{z^2}{1 + z^4} + \frac{z^3}{1 + z^6}.\]
|
A
|
math_Precalculus
|
mathematics
|
||
NLP4Education_704
|
NLP4Education
|
Which of the following statements about coverage-guided fuzzing is/are correct?
A. Redundant seeds in the corpus will reduce fuzzing efficiency.
B. Fuzzers that have higher code coverage always find more bugs.
C. Counting the number of times the covered code has been executed provides a less detailed view of program behavior than only having "covered/not covered" binary code coverage.
D. Coverage-guided fuzzing does not benefit from any random mutations of seeds.
|
A. Redundant seeds in the corpus will reduce fuzzing efficiency.
|
computer_security
|
computer_science
|
||
math_348
|
math_mc
|
Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $\$$30.00, how many 30-cent items did she purchase?
|
A
|
math_Algebra
|
mathematics
|
||
aquarat_29786
|
deepmind/aqua_rat
|
If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.
|
A. I only B. II only C. I and II only D. II and III only E. I, II and III
|
B. II only
|
1) n^3 – n
n^2(n-1)
two cases
if n=odd then n-1 is even thus n^2(n-1) is even
if n=even then n^2 is even thus n^2(n-1) is even------>true for all cases
2) 8n^3 +12n^2 +6n +1
8n^3 +12n^2 +6n=Even
but Even +1 =odd------------>Always False
3) for this i tried picking number upto 15 and find all cases True------>True
However will be looking for any algebraic solution
Ans B
|
college_mathematics
|
mathematics
|
mmlu_aux_train_93383
|
mmlu_aux_train
|
A fever is a response to a disease-causing agent infecting the body. Raising one's body temperature changes the shape of enzymes in the agent so it cannot reproduce. Which statement best describes a fever?
A. A fever is an internal response to an external stimulus.
B. A fever is an internal response to an internal stimulus.
C. A fever is an external response to an external stimulus.
D. A fever is an external response to an internal stimulus.
|
B. A fever is an internal response to an internal stimulus.
|
high_school_biology
|
biology
|
||
aquarat_474
|
deepmind/aqua_rat
|
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.5 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
|
A. Four B. Five C. Nine D. Ten E. Eleven
|
B. Five
|
Mean = 8.5
Standard Deviation = 0.2
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.5+1.5*0.2 = 8.8
and 1.5 standard deviation BELOW the mean = 8.5-1.5*0.2 = 8.2
hence, 5 values fall within 1.5 SD from Mean
Answer: Option B
|
high_school_statistics
|
mathematics
|
math_2177
|
math_mc
|
The sum\[\sum_{x=2}^{44} 2\sin{x}\sin{1}[1 + \sec (x-1) \sec (x+1)]\]can be written in the form $\sum_{n=1}^{4} (-1)^n \frac{\Phi(\theta_n)}{\Psi(\theta_n)}$, where $\Phi,\, \Psi$ are trigonometric functions and $\theta_1,\, \theta_2, \, \theta_3, \, \theta_4$ are degrees $\in [0,45]$. Find $\theta_1 + \theta_2 + \theta_3 + \theta_4$.
|
D
|
math_Precalculus
|
mathematics
|
||
math_771
|
math_mc
|
Let $ABCD$ be an isosceles trapezoid with bases $AB=92$ and $CD=19$. Suppose $AD=BC=x$ and a circle with center on $\overline{AB}$ is tangent to segments $\overline{AD}$ and $\overline{BC}$. If $m$ is the smallest possible value of $x$, then $m^2$=
$\text{(A) } 1369\quad \text{(B) } 1679\quad \text{(C) } 1748\quad \text{(D) } 2109\quad \text{(E) } 8825$
|
D
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_8707
|
mmlu_aux_train
|
Even before they start school, many young girls worry that they are fat. But a new study suggests watching a movie starring astereotypically thin and beautiful princess may not increase children's anxieties. Nearly half of the 3 to 6 year old girls in a study by Professor Stacey Tantleff-Dunn and doctoral student Sharon Hayes said they worry about being fat. About one-third would change a physical feature, such as their weight or hair color. The number of girls worried about being fat at such a young age concerns Tantleff-Dunn because of the potential effects later in life. Studies have shown young girls worried about their body image are more likely to suffer from eating disorders when they are older. The encouraging news for parents is that taking their young daughters to see the new Disney film "The Princess and the Frog" isn't likely to influence how they see their bodies. "The media have a great effect on how young girls see their bodies. That's why it's important for parents to use movies such as 'The Princess and the Frog,' to start conversations with their children about weight, skin color and their views of beauty. They can explain that princesses' tiny waists are not realistic for girls and that children don't need Cinderella's golden hair or Snow White'sporcelain skin to look good," Tantleff-Dunn said. "We need to help our children challenge the images of beauty, particularly thinness, that they see and idolize, and encourage them to question how much appearance should be part of their self-worth," said Tantleff-Dunn. "We should help them build a positive self-image with an appreciation for many different types of body features." And as their children's most important role models, parents also should avoid criticizing their own bodies. Tantleff-Dunn worries that young girls caring too much about their appearance may _ .
A. have diet trouble in the future
B. cause trouble when they are older
C. have mental problems later in life
D. have difficulty in communication
|
A. have diet trouble in the future
|
high_school_biology
|
biology
|
||
mmlu_aux_train_47558
|
mmlu_aux_train
|
Like a scene out of a reality show or a Disney movie, Southgate, Mich., teenager Ashley Qualls' moment has arrived. She may not have an MBA, a high-school diploma, or even a driver's license yet, but Asheley Qualls already has an influential website (www. Whateverlife.Com). The 17-year-old girl hass been building her online business for two years. In December 2004, Qualls borrowed $8 from her mother to buy the Whateverlife.com. domain name . She intended to use the website as a way to share her design for My Space pages woth her friends. But in the incontrollable, fast-moving world of cyberspace, others began noticing Qualls' site even though she never has spent a penny on advertising. When it comes to web traffic, Whateverlife.com .currently ranks No. 825 out of 20.3 million websites, drawing 2.4 million visitors worldwide during the last 30 days. Qualls said that on average, 72% of her site's audience made a return visit. Whateverlife.com earned a million dollars in revenue last year and is on track to do the same this year. "I'm stubborn and I'm independent," she said from her office in the basement of her house. "I like the feeling that it's my company, and I want to have the say-so in everything." But don't mistake Qualls for another smart but spoiled teenager. She is growing up fast but owns talent for life and business that _ many girls of her age. The task of running a million-dollar company isn't without its sacrifices( ) and challenges for a teenager. Qualls dropped out of Lincoln Park High School after her sophomore year to work fulltime on Whateverlife.com, a decision that she said shocked her family, friends and teachers . She now is studying to get her degree in graphic design. Many people noticed Qualls' site because _ .
A. it was set up by a 17-year-old girl
B. Qualls shares her design with her friends
C. Qualls has been building her online business
D. the world cyberspace develops fast and uncontrollable
|
D. the world cyberspace develops fast and uncontrollable
|
college_computer_science
|
computer_science
|
||
math_1343
|
math_mc
|
Consider the largest solution to the equation \[\log_{10x^2} 10 + \log_{100x^3} 10 = -2.\]Find the value of $\frac{1}{x^{12}},$ writing your answer in decimal representation.
|
B
|
math_Intermediate Algebra
|
mathematics
|
||
math_521
|
math_mc
|
Robert has 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangements of the 8 coins.
|
A
|
math_Counting & Probability
|
mathematics
|
||
aquarat_13721
|
deepmind/aqua_rat
|
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9}
for which the sum of those 7 elements is a multiple of 3 ?
|
A. 10 B. 11 C. 12 number D. 13 E. 14
|
C. 12 number
|
We describe 2 solutions. Let S = {1, 2, . . . , 9}. Observe that the sum of the elements of S
is divisible by 3. So the problem is the same as asking for the number of ways that 2 elements
of S can be chosen so that their sum is divisible by 3 (the other 7 elements of S correspond to a
7-element set as in the problem). Choosing 2 elements of S with sum divisible by 3 corresponds
to either choosing 2 numbers divisible by 3 (which can be done in 3 ways) or choosing 1 number
that is one more than a multiple of 3 and 1 number that is one less than a multiple of 3 (which can
be done in 3 · 3 = 9 ways). Hence, the answer is 3 + 9 = 12.
correct answer C
|
college_mathematics
|
mathematics
|
mmlu_aux_train_13726
|
mmlu_aux_train
|
No one is glad to hear that his body has to be cut open by a surgeon and part of it taken out. Today, however, we needn't worry about feeling pain during the operation. The sick person falls into a kind of sleep, and when he awakes, the operation is finished. But these happy conditions are fairly new. It is not many years since a man who had to have operation felt all its pain. Long ago, operation had usually to be done while the sick man could feel everything. The sick man had to be held down on a table by force while the doctors did their best for him. He could feel all the pain if his leg or arm was being cut off, and his fearful cries filled the room and the hearts of those who watched. Soon after 1770, Josept Priestley discovered a gas which is now called "laughing gas".Laughing gas became known in America.Young men and women went to parties to try it. Most of them spent their time laughing,but one man at a party,Horace Wells,noticed that people didn't seem to feel pain when they were using this gas.He decided to make an experiment on himself.He asked a friend to help him. Wells took some of the gas,and his friend pulled out one of Well's teeth.Wells felt no pain at all. As he didn't know enough about laughing gas, he gave a man less gas than he should have. The man cried out with pain when his tooth was being pulled out. Wells tried again,but this time he gave too much of the gas,and the man died.Wells never forgot this terrible event. It is _ since a man being operated felt all the pain.
A. a few more years
B. not long
C. few years
D. two thousand years
|
B. not long
|
high_school_biology
|
biology
|
||
math_46
|
math_mc
|
What is the range of the function $$G(x) = |x+1|-|x-1|~?$$Express your answer in interval notation.
|
D
|
math_Algebra
|
mathematics
|
||
mmlu_aux_train_2717
|
mmlu_aux_train
|
A teacher builds a model of a hydrogen atom. A red golf ball is used for a proton, and a green golf ball is used for an electron. Which is not accurate concerning the model?
A. number of particles
B. relative mass of particles
C. types of particles present
D. charges of particles present
|
B. relative mass of particles
|
high_school_physics
|
physics
|
||
mmlu_aux_train_95014
|
mmlu_aux_train
|
When a bird is living in a certain segment of the world, it can become part of that environment along with predators and food sources, the process being called what?
A. animals reproduce
B. preyed upon
C. adapted to it
D. predators get it
|
C. adapted to it
|
high_school_biology
|
biology
|
||
mmlu_aux_train_60312
|
mmlu_aux_train
|
This is a dangerous world we live in.The number of murders goes up every year, people are dying of cancer, more people contract HIV, more teens are using drugs, etc.You know this because you have heard all the statistics on the news and in the paper. But do you really have an accurate idea what they mean? The numbers are growing up, but how do they compare to the growth in population? Are more cases of these diseases being reported because of better testing techniques, or are the diseases more common? The fact is that without knowing the background statistics mean very little. This growing trend of reporting only part of the information is becoming dangerous.For example, several years ago a high school student reported the dangers of the chemical known as dihydrogen monoxide.This chemical, found in most cancerous tumors , is often found in the blood of people drunk on alcohol, and causes complete physical and mental dependence for those who take the chemical even once.After reading his report, more than 75% of his Advanced Placement Chemistry class voted to forbid this dangerous chemical! Every one of the above statements is true, yet this chemical is necessary to all life on earth.The students made the mistake because they voted knowing only a few statements and statistics, rather than the chemical's full background. The point of this article is that one should be aware of what is and is not being said.When one finds a new fact or number, one should try to consider other important information before forming an opinion with only half-truths.Always remember that the author is trying to convince you of his or her own view, and will leave out information that is different to his view.For example, look again at the statistics that suggest skiing is safe.Only 32 people may die each year when skiing, while 897 die from lightning strikes, but which is really the most dangerous? If you think about it, you realize far fewer people go skiing each year than the number of people who are in danger of a lightning strike.When you think about it, skiing is more dangerous than you might at first think when looking at statistics.If we teenagers are to be left in this world, we had better be able to think critically, and form our own views, rather than be easily persuaded by another's.To be warned is to be prepared. Relative information is often left out because _ .
A. Relative information is not that important.
B. too much information will make readers feel confused.
C. the author is trying to show what he or she says is true.
D. readers are not able to analyze so much information at once.
|
C. the author is trying to show what he or she says is true.
|
high_school_statistics
|
mathematics
|
||
allenai/sciq_10259
|
allenai/sciq
|
What is considered the center of the solar system?
A. nebulla
B. sun
C. heat
D. earth
|
B. sun
|
Today we know that we have eight planets, five dwarf planets, over 165 moons, and many, many asteroids and other small objects in our solar system. We also know that the Sun is not the center of the universe. But it is the center of the solar system.
|
astronomy
|
physics
|
|
pythonio_248
|
pythonio-mc
|
Program:
def remove_kth_element(list1, L):
return list1[:L-1] + list1[L:]
Input:
remove_kth_element([10, 10, 15, 19, 18, 18, 17, 26, 26, 17, 18, 10],5)
Output:
|
C
|
code
|
computer_science
|
||
allenai/sciq_10668
|
allenai/sciq
|
The as yet undiscovered grand unified theory is a search to unify laws of what branch of science?
A. chemistry
B. genetics
C. physics
D. masses
|
C. physics
|
Over 2500 years ago Aristotle proposed two laws of physics governing motion. One for ‘Earthly bodies’ (objects on Earth) that states objects naturally go in straight lines and one for ‘Heavenly bodies’ (objects in space) that states objects naturally go in circles. This idea held steady for 2,000 years until Isaac Newton, in a triumph of brilliance, declared that there is one law of physics that governs motion and he unified “earthly” bodies and “heavenly” bodies with the The Universal Law of Gravitation. Newton used the universal law of gravity to prove that the moon is accelerating towards Earth just as a body on Earth is falling towards it. The acceleration of both the moon and the object on Earth is calculated using the same formula. This theory is so well regarded that it has been used to hypothesize the existence of black holes and dark matter, later verified by observation. The search to unify the laws of physics into one theory continues today and is often referred to as the yet undiscovered Grand Unified Theory (GUT).
|
college_physics
|
physics
|
|
math_855
|
math_mc
|
A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle. What is the ratio of the area of the square to the area of the circle? Express your answer as a common fraction in terms of $\pi$.
|
C
|
math_Geometry
|
mathematics
|
||
allenai/sciq_351
|
allenai/sciq
|
What material comprises the sun and other stars, as well as lightning and the northern lights?
A. plasma
B. aurora
C. gamma
D. gas
|
A. plasma
|
The sun and other stars consist of plasma. Plasma is also found naturally in lightning and the northern and southern lights. Human-made plasma is found in fluorescent lights, plasma TV screens, and plasma spheres.
|
college_physics
|
physics
|
|
allenai/sciq_6553
|
allenai/sciq
|
What is the study of matter and energy referred to as?
A. physical science
B. geology
C. cosmology
D. biology
|
A. physical science
|
Physical science is the study of matter and energy. It includes chemistry, which focuses on matter, and physics, which focuses on energy.
|
conceptual_physics
|
physics
|
|
aquarat_25002
|
deepmind/aqua_rat
|
All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Who is the mother of B ?
|
A. C B. V C. R D. A E. T
|
D. A
|
Explanation:
B is the son of C but C is not the mother of B means C is the father of B. A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C
Clearly. A is the mother of B.
Answer: D
|
formal_logic
|
mathematics
|
mmlu_aux_train_98398
|
mmlu_aux_train
|
After the moon phase where you can see nothing of the moon, what comes next?
A. the full moon
B. the last quarter
C. the first quarter
D. the half moon
|
C. the first quarter
|
astronomy
|
physics
|
||
mmlu_aux_train_16247
|
mmlu_aux_train
|
Sometimes ideas do not appear when you are concentrating your attention and mysteriously appear when you are not. Modern science recognizes this as a result of incubating the problem in your subconscious , yet can't account for why it occurs. When you quit thinking about a subject and decide to forget it, your subconscious mind doesn't quit working. Your thoughts keep making associations(,). This is why you've experienced suddenly remembering names, getting solutions to problems you've forgotten about, and ideas out of the blue when you are relaxing and not thinking about any particular thing. You may try solving a problem with your subconscious mind by writing a letter to it. Now let go of the problem. Don't work on it. Forget it. Do something else. This is the incubation stage when much of what goes on occurs outside your focused awareness, in your unconsciousness. Open the letter in two days. The answer might magically pop into your mind. An advertising agency was under pressure to come up with a marketing campaign. Bert, the creative director, wrote the following letter which he addressed to his subconscious mind. Secret Expert, I need to come up with a new marketing program to introduce a new season of television shows. I'm interested in some kind of campaign that will capture the audience's attention more than one time. Is there something people need that we can advertise on? What kind of products, foods and services should we investigate? I need your idea about a fresh approach to advertising. Thanks, Bert Bert mailed the letter to himself and when he read what he had written, he got his brainstorm, which was to advertise on "eggs". Somehow an association between "foods", "need" and "fresh approach" inspired the thought of using "fresh eggs to advertise." He arranged to put the ad for the television shows on eggs -- some thirty million. The consumers look at a single egg at least a few times, when they buy the eggs at the store, when they transfer(,,) them to the refrigerator, and when they crack them open. It's unlike any other ad medium in the world, because you're looking at it while you are using it. You remember names though you are not thinking about them because your subconscious mind _ .
A. stops working
B. is still working
C. is full of names
D. improves your memory
|
B. is still working
|
conceptual_physics
|
physics
|
||
allenai/sciq_6330
|
allenai/sciq
|
What mineral is used to produce glass?
A. lead
B. quartz
C. pyrite
D. feldspar
|
B. quartz
|
Silver is used to make sterling silver jewelry. Table salt is the mineral halite. Glass is produced from the mineral quartz.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_7410
|
allenai/sciq
|
The negatively charged electrons are attracted to the positively charged what?
A. nucleus
B. atom
C. axon
D. ion
|
A. nucleus
|
high_school_physics
|
physics
|
||
allenai/sciq_1006
|
allenai/sciq
|
What organ creates bile?
A. kidney
B. heart
C. liver
D. pancreas
|
C. liver
|
The liver is an organ of both digestion and excretion. It produces a fluid called bile , which is secreted into the duodenum. Some bile also goes to the gall bladder , a sac-like organ that stores and concentrates bile and then secretes it into the small intestine. In the duodenum, bile breaks up large globules of lipids into smaller globules that are easier for enzymes to break down. Bile also reduces the acidity of food entering from the highly acidic stomach. This is important because digestive enzymes that work in the duodenum need a neutral environment. The pancreas contributes to the neutral environment by secreting bicarbonate, a basic substance that neutralizes acid.
|
high_school_biology
|
biology
|
|
aquarat_95466
|
deepmind/aqua_rat
|
Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range?
|
A. cannot be determined B. 4 C. 9 D. 5 E. 12
|
A. cannot be determined
|
Yes, the correct answer is A
|
college_mathematics
|
mathematics
|
math_1195
|
math_mc
|
In the coordinate plane, consider points $A = (0, 0)$, $B = (11, 0)$, and $C = (18, 0)$. Line $\ell_A$ has slope 1 and passes through $A$. Line $\ell_B$ is vertical and passes through $B$. Line $\ell_C$ has slope $-1$ and passes through $C$. The three lines $\ell_A$, $\ell_B$, and $\ell_C$ begin rotating clockwise about points $A$, $B$, and $C$, respectively. They rotate at the same angular rate. At any given time, the three lines form a triangle. Determine the largest possible area of such a triangle.
|
B
|
math_Intermediate Algebra
|
mathematics
|
||
mmlu_aux_train_94655
|
mmlu_aux_train
|
When studying planetary data, Jackie found some similarities and differences among the planets that make up the solar system. Which generalization is true about the orbits of the major planets in the solar system?
A. Planetary orbits have the same plane.
B. Planetary orbits are mostly elliptical in shape.
C. Planets orbit at the same speed around the Sun.
D. Planets orbit in different directions around the Sun.
|
B. Planetary orbits are mostly elliptical in shape.
|
astronomy
|
physics
|
||
math_149
|
math_mc
|
The graphs of a function $f(x)=3x+b$ and its inverse function $f^{-1}(x)$ intersect at the point $(-3,a)$. Given that $b$ and $a$ are both integers, what is the value of $a$?
|
B
|
math_Algebra
|
mathematics
|
||
math_969
|
math_mc
|
Rectangle $ABCD$ and a semicircle with diameter $AB$ are coplanar and have nonoverlapping interiors. Let $\mathcal{R}$ denote the region enclosed by the semicircle and the rectangle. Line $\ell$ meets the semicircle, segment $AB$, and segment $CD$ at distinct points $N$, $U$, and $T$, respectively. Line $\ell$ divides region $\mathcal{R}$ into two regions with areas in the ratio $1: 2$. Suppose that $AU = 84$, $AN = 126$, and $UB = 168$. Then $DA$ can be represented as $m\sqrt {n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $m + n$.
[asy] import graph; defaultpen(linewidth(0.7)+fontsize(10)); size(500); pen zzttqq = rgb(0.6,0.2,0); pen xdxdff = rgb(0.4902,0.4902,1); /* segments and figures */ draw((0,-154.31785)--(0,0)); draw((0,0)--(252,0)); draw((0,0)--(126,0),zzttqq); draw((126,0)--(63,109.1192),zzttqq); draw((63,109.1192)--(0,0),zzttqq); draw((-71.4052,(+9166.01287-109.1192*-71.4052)/21)--(504.60925,(+9166.01287-109.1192*504.60925)/21)); draw((0,-154.31785)--(252,-154.31785)); draw((252,-154.31785)--(252,0)); draw((0,0)--(84,0)); draw((84,0)--(252,0)); draw((63,109.1192)--(63,0)); draw((84,0)--(84,-154.31785)); draw(arc((126,0),126,0,180)); /* points and labels */ dot((0,0)); label("$A$",(-16.43287,-9.3374),NE/2); dot((252,0)); label("$B$",(255.242,5.00321),NE/2); dot((0,-154.31785)); label("$D$",(3.48464,-149.55669),NE/2); dot((252,-154.31785)); label("$C$",(255.242,-149.55669),NE/2); dot((126,0)); label("$O$",(129.36332,5.00321),NE/2); dot((63,109.1192)); label("$N$",(44.91307,108.57427),NE/2); label("$126$",(28.18236,40.85473),NE/2); dot((84,0)); label("$U$",(87.13819,5.00321),NE/2); dot((113.69848,-154.31785)); label("$T$",(116.61611,-149.55669),NE/2); dot((63,0)); label("$N'$",(66.42398,5.00321),NE/2); label("$84$",(41.72627,-12.5242),NE/2); label("$168$",(167.60494,-12.5242),NE/2); dot((84,-154.31785)); label("$T'$",(87.13819,-149.55669),NE/2); dot((252,0)); label("$I$",(255.242,5.00321),NE/2); clip((-71.4052,-225.24323)--(-71.4052,171.51361)--(504.60925,171.51361)--(504.60925,-225.24323)--cycle); [/asy]
|
B
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_48308
|
mmlu_aux_train
|
Researchers at Stanford University have developed a new material that can move heat out of buildings and into space. The researchers say the material can cool buildings even on hot days. The cooling material is a very thin sheet with many layers that could be placed on a roof like solar panels . However, instead of turning sunlight into energy as solar panels do, the material turns heat into radiation. Shanhui Fan is an electrical engineering professor at Stanford University. He says that the panels have a layer of material that is like sand. The panels act like a mirror. They take heat out of buildings and reflect the light from the sun. And he says both the heat and sunlight are sent 100 kilometers into outer space. "It's a structure that cools itself without electricity input, even under the sun. So, what it does is basically radiate heat to outer space and also reflect the sunlight so it doesn't get heated up by the sun. Mr. Fan says it is like having a window into space. The heat is sent directly into space without warming the air." He says buildings in developing countries that do not have electricity or air conditioning could use the panels. "In areas where electricity is out of reach for many people, there is a potential benefit for storing medicine or even food. In many of these situations, being able to reduce the temperature is important. And this would provide a way to do it." The researchers say the main problem is creating actual cooling systems using the high-tech panels. They say it may be possible to develop a cooling spray that could be used on present solid structures. They believe the cooling spray technology could be developed in the next three to five years. They say as much as 15 percent of the energy used in the United States is spent providing power to air conditioning systems. How does the panel work?
A. It takes in the heat and cools it down.
B. It uses a mirror to reflect the sunlight.
C. It sends heat away right into space.
D. It has a window to let out the heat.
|
C. It sends heat away right into space.
|
electrical_engineering
|
engineering
|
||
math_1251
|
math_mc
|
Let $x$ and $y$ be real numbers, $y > x > 0,$ such that
\[\frac{x}{y} + \frac{y}{x} = 6.\]Find the value of \[\frac{x + y}{x - y}.\]
|
B
|
math_Intermediate Algebra
|
mathematics
|
||
math_79
|
math_mc
|
Suppose that $f(x)=\frac{1}{2x+b}$. For what value of $b$ does $f^{-1}(x)=\frac{1-2x}{2x}$?
|
B
|
math_Algebra
|
mathematics
|
||
mmlu_aux_train_44939
|
mmlu_aux_train
|
What Will Be Done-With All This Denim? All the denim will be donated to Cotton From Blue to Green, which recycles jeans into UltraTouch Natural Cotton Fiber Insulation , which is used to help build houses in places that have been damaged by hurricanes and other natural disasters. Your jeans will help keep clothes out of landfills , and build houses for families to live in! UltraTouch is made of 85% recycled fibers and is an environmentally safe, natural cotton fiber insulation. It's a Fact It takes about 500 pairs of jeans to recycle enough denim to insulate one average-size U.S house. Here's How You Can Get Involved! 1. Get a parent's permission and select as many denim jeans as you like. (Any denim clothing is OK) 2. The denim must be used. 3. The denim can be any brand. 4. The denim can be any color or size but must have been worn by a human (no doll clothes!). 5. Jeans must be received by June 30, 2017. By donating denim, you can give it a "new life" by converting it into UltraTouch Natural Cotton Fiber Insulation. _ for more information about the denim drive. UltraTouch is composed of 85% recycled fibers and is an environmentally safe, non- itch natural cotton fiber insulation. For more information about UltraTouch, _ The denim clothing that you intend to donate _ .
A. can be either new or second-hand
B. can be worn by dolls and humans
C. must be a certain famous brand
D. can be of any size or color
|
D. can be of any size or color
|
environmental_science
|
earth_science
|
||
mmlu_aux_train_97698
|
mmlu_aux_train
|
If steam chills then the vapor will
A. burn
B. melt
C. boil
D. thicken
|
D. thicken
|
high_school_physics
|
physics
|
||
allenai/sciq_9171
|
allenai/sciq
|
Platforms, arches, and sea stacks are all landforms created by what?
A. debris
B. erosion
C. volcanic activity
D. sediment
|
B. erosion
|
Some landforms created by erosion are platforms, arches, and sea stacks.
|
college_geology
|
earth_science
|
|
aquarat_94542
|
deepmind/aqua_rat
|
If n is an integer, f(n) = f(n-1) - n and f(4)=20. What is the value of f(6)?
|
A. 9 B. 0 C. 1 D. 2 E. 4
|
A. 9
|
Since f(n)=f(n-1)-n then: f(6)=f(5)-6 and f(5)=f(4)-5.
As given that f(4)=20 then f(5)=20-5=15 --> substitute the value of f(5) back into the first equation: f(6)=f(5)-6=15-6=9.
Answer: A.
Questions on funtions to practice:
|
college_mathematics
|
mathematics
|
allenai/sciq_8518
|
allenai/sciq
|
A mixture of a metal with one or more other elements is called?
A. an alloy
B. a hydrogen
C. a carbon
D. a cobalt
|
A. an alloy
|
Steel is an example of an alloy. An alloy is a mixture of a metal with one or more other elements. The other elements may be metals, nonmetals, or both. An alloy is a solid solution. It is formed by melting a metal and dissolving the other elements in it. The molten solution is then allowed to cool and harden. Several other examples of alloys and their uses are shown in Figure below . You can learn about an amazing alloy called memory wire at the URL below. If you have braces on your teeth, you may even have this alloy in your mouth!.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_4285
|
allenai/sciq
|
While in the lungs, blood gives up carbon dioxide and picks up what element before returning to the heart?
A. hydrogen
B. methane
C. nitrogen
D. oxygen
|
D. oxygen
|
Pulmonary circulation is the part of the circulatory system that carries blood between the heart and lungs (the term pulmonary means “of the lungs”). It is illustrated in Figure below . Deoxygenated blood leaves the right ventricle through pulmonary arteries, which transport it to the lungs. In the lungs, the blood gives up carbon dioxide and picks up oxygen. The oxygenated blood then returns to the left atrium of the heart through pulmonary veins.
|
high_school_biology
|
biology
|
|
mmlu_aux_train_92687
|
mmlu_aux_train
|
When plants undergo photosynthesis, a reaction produces sugar, oxygen, and water. During respiration, stored energy from the products of photosynthesis is converted to usable energy. In what form is the energy stored prior to use in respiration?
A. chemical energy
B. kinetic energy
C. light energy
D. heat energy
|
A. chemical energy
|
high_school_biology
|
biology
|
||
allenai/sciq_2837
|
allenai/sciq
|
What type of bond forms by unpaired electrons from two atoms "matching up"?
A. magnetic bond
B. covalent bond
C. reactive bond
D. accretion bond
|
B. covalent bond
|
You have learned that a covalent bond forms when the electron clouds of two atoms overlap with each other. In a simple H 2 molecule, the single electron in each atom becomes attracted to the nucleus of the other atom in the molecule as the atoms come closer together. An optimum distance, equal to the bond length, is eventually attained, and the potential energy reaches a minimum. A stable, single covalent bond has formed between the two hydrogen atoms. Other covalent bonds form in the same way as unpaired electrons from two atoms “match up” to form the bond. In a fluorine atom, there is an unpaired electron in one of the 2p orbitals. When a F 2 molecule forms, the 2p orbitals from each of the two atoms overlap to produce the F−F covalent bond. The overlapping orbitals do not have to be of the same type. In a molecule of HF, the 1s orbital of the hydrogen atom overlaps with the 2p orbital of the fluorine atom (see Figure below ).
|
high_school_chemistry
|
chemistry
|
|
pythonio_941
|
pythonio-mc
|
Program:
def sum_Natural(n):
sum = (n * (n + 1))
return int(sum)
def sum_Even(l,r):
return (sum_Natural(int(r / 2)) - sum_Natural(int((l - 1) / 2)))
Input:
sum_Even(2,5)
Output:
|
C
|
code
|
computer_science
|
||
mmlu_aux_train_95800
|
mmlu_aux_train
|
The water treatment plant boiled all the water that came to them for what reason?
A. add oxygen
B. add health benefits
C. to eliminate substances
D. mix the water
|
C. to eliminate substances
|
high_school_chemistry
|
chemistry
|
||
allenai/sciq_4764
|
allenai/sciq
|
What type of work called occurs when a system pushes back the surroundings against a restraining pressure?
A. retention work
B. shape work
C. expansion work
D. contrast work
|
C. expansion work
|
A type of work called expansion work (or pressure-volume work) occurs when a system pushes back the surroundings against a restraining pressure, or when the surroundings compress the system. An example of this occurs during the operation of an internal combustion engine. The reaction of gasoline and oxygen is exothermic. Some of this energy is given off as heat, and some does work pushing the piston in the cylinder. The substances involved in the reaction are the system, and the engine and the rest of the universe are the surroundings. The system loses energy by both heating and doing work on the surroundings, and its internal energy decreases. (The engine is able to keep the car moving because this process is repeated many times per second while the engine is running. ) We will consider how to determine the amount of work involved in a chemical or physical change in the chapter on thermodynamics.
|
college_chemistry
|
chemistry
|
|
mmlu_aux_train_93920
|
mmlu_aux_train
|
When the lighted half of the Moon faces the Sun and the dark half faces Earth, the phase of the Moon viewed from Earth is called the
A. full moon.
B. new moon.
C. waxing moon.
D. waning moon.
|
B. new moon.
|
astronomy
|
physics
|
||
pythonio_528
|
pythonio-mc
|
Program:
def tuple_to_dict(test_tup):
res = dict(test_tup[idx : idx + 2] for idx in range(0, len(test_tup), 2))
return (res)
Input:
tuple_to_dict((1, 5, 7, 10, 13, 5))
Output:
|
D
|
code
|
computer_science
|
||
NLP4Education_458
|
NLP4Education
|
Enigma
A. was a predecessor of a Turing machine model - a basis of Von Neumann architecture
B. achieves perfect security as was required due to military application
C. follows the Kerkhoffs principle
D. has approximately $2^{256}$ possible keys
|
C. follows the Kerkhoffs principle
|
computer_security
|
computer_science
|
||
aquarat_55085
|
deepmind/aqua_rat
|
If the mean of a data set is 75 and the standard deviation is 10, what is the range of scores that fall within one standard deviation of the mean?
|
A. 65, 80} B. 65, 90} C. 65, 70} D. 65, 80} E. 65, 85}
|
E. 65, 85}
|
score ranges between 85 and 65, where 85 is within one Standard deviation above the mean and 65 is within one standard deviation below the mean
Answer is E
|
high_school_statistics
|
mathematics
|
allenai/sciq_3818
|
allenai/sciq
|
What is mass number?
A. to total number of protons and electrons in a nucleus
B. to total number of electrons and neutrons in a nucleus
C. the total number of protons and neutrons in a nucleus
D. the total number of protons and chondrichthyes in a nucleus
|
C. the total number of protons and neutrons in a nucleus
|
All oxygen atoms have eight protons, and most have eight neutrons as well. What is the mass number of an oxygen isotope that has nine neutrons? What is the name of this isotope?.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_12708
|
mmlu_aux_train
|
If the hackings taught us anything in 2014, it's actually nothing. Password management firm SplashData released its list of the worst passwords of the year and it's just as terrible as you'd think. The most common leaked password in 2014 was "123456," followed by "password" -- both topped the list the year before, too. While numbers were as popular as ever as passwords, sports terms like "baseball" and "football" were used more often. Birthday years were common too (especially 1989, 1990, 1991 and 1992) and names like "Michael", "Jennifer" and "Hunter" are also among the top 100 worst passwords of 2014. Here's a look at the top 10 worst passwords of the year: 1. 123456 (Unchanged from 2013) 6. 234567890 (Unchanged) 2. password (Unchanged) 7. baseball (New) 3. 12345 (Up 17) 8. dragon (New) 4. 12345678 (Down 1) 9. football (New) 5. qwerty (Down 1) 10. monkey (New) This year's worst passwords are painfully weak, but what were once considered clever password strategies -- using symbols, capitalizations, the number 3 in place of the letter "e" -- are old tricks. It's now recommended to pick a different password for each account you use -- you wouldn't use the same key in all of your locks, and the same goes for passwords. Companies like Facebook, Twitter and Apple are now trying to make hacking more difficult on their services by offering two-factor authentication , which is basically like double locking your door at night. Each time you want to log into that account, the company will send a code to your phone -- it changes after each login attempt, so hackers would have to be in physical possession of your smartphone to know the code. What can we learn from the text?
A. Hackers leaked many more passwords in 2014.
B. Symbols were among the top 10 worst passwords.
C. 123456 was the most common leaked password in both 2013 and 2014.
D. People are getting more experienced in picking their passwords.
|
C. 123456 was the most common leaked password in both 2013 and 2014.
|
computer_security
|
computer_science
|
||
pythonio_120
|
pythonio-mc
|
Program:
def find_Odd_Pair(A,N) :
oddPair = 0
for i in range(0,N) :
for j in range(i+1,N) :
if ((A[i] ^ A[j]) % 2 != 0):
oddPair+=1
return oddPair
Input:
find_Odd_Pair([5,4,7,2,1],5)
Output:
|
C
|
code
|
computer_science
|
||
mmlu_aux_train_81807
|
mmlu_aux_train
|
Mrs. White comes from America. She is an English teacher in No. 12 High School of Guangzhou. She speaks Chinese a little and often has Chinese classes. She likes here very much. She often says the Chinese people are very nice. She is Lucy and Lily's mom. Lucy and Lily live in America with their dad, Mr. White. They are students. They have some Chinese pen pals. ,. Where is Mrs. White from?
A. China.
B. Canada.
C. America.
D. Shenzhen.
|
C. America.
|
high_school_computer_science
|
computer_science
|
||
allenai/sciq_5518
|
allenai/sciq
|
Sodium-potassium pumps help nerve cells establish a voltage across their what?
A. cell walls
B. plasma membranes
C. potassium membranes
D. sodium membranes
|
B. plasma membranes
|
college_biology
|
biology
|
||
math_1620
|
math_mc
|
Let $n=2^{31}3^{19}.$ How many positive integer divisors of $n^2$ are less than $n$ but do not divide $n$?
|
D
|
math_Number Theory
|
mathematics
|
||
NLP4Education_315
|
NLP4Education
|
Which statement is true for the Mean Squared Error (MSE) loss MSE( $\mathbf{x}, y):=\left(f_{\mathbf{w}}(\mathbf{x})-y\right)^{2}$, with $f_{\mathrm{w}}$ a model parametrized by the weights $\mathbf{w}$?
A. MSE is always convex with respect to the model weights $\mathbf{w}$, regardless of the model architecture.
B. MSE is not necessarily convex with respect to the weights of the model $\mathbf{w}$.
C. MSE is less sensitive to outliers than Mean Absolute Error (MAE).
D. Minimizing MSE is guaranteed to provide the best-performing model for any machine learning task.
|
B. MSE is not necessarily convex with respect to the weights of the model $\mathbf{w}$.
|
machine_learning
|
computer_science
|
||
aquarat_59382
|
deepmind/aqua_rat
|
The following operations are defined for real numbers.
a # b = a + b, if a and b both are positive else a # b = 1.
a ∇ b = ( a x b)a+b if a x b is positive else a ∇ b = 1.
(2 # 1 ) / (1 ∇ 2) =
|
A. 1/8 B. 1 C. 3/8 D. 3 E. 7
|
C. 3/8
|
Explanation :
Here, a and b both are positive numbers.
Hence, the required value is (2 + 1) / 23 i.e 3 / 8.
Answer : C
|
college_mathematics
|
mathematics
|
math_1198
|
math_mc
|
Compute the length of the segment tangent from the origin to the circle that passes through the points $(3,4),$ $(6,8),$ and $(5,13).$
|
D
|
math_Intermediate Algebra
|
mathematics
|
||
mmlu_aux_train_92899
|
mmlu_aux_train
|
What happens at the boiling point of a substance?
A. liquid becomes a gas
B. solid becomes a gas
C. liquid becomes a solid
D. solid becomes a liquid
|
A. liquid becomes a gas
|
high_school_chemistry
|
chemistry
|
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