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aquarat_4424 | deepmind/aqua_rat | What is the probability of getting exactly 4 heads in a single throw of five fair coins? | A. 1/4 B. 3/8 C. 3/16 D. 5/32 E. 7/32 | D. 5/32 | One possible case is HHHHT.
P(HHHHT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C4 = 5 possible cases.
P(4 heads) = 5*1/32 = 5/32
The answer is D. | high_school_statistics | mathematics |
pythonio_673 | 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([2,2,3,1,2,6,7,9])
Output: | A | code | computer_science |
||
math_1060 | math_mc | A cylindrical log has diameter $12$ inches. A wedge is cut from the log by making two planar cuts that go entirely through the log. The first is perpendicular to the axis of the cylinder, and the plane of the second cut forms a $45^\circ$ angle with the plane of the first cut. The intersection of these two planes has exactly one point in common with the log. The number of cubic inches in the wedge can be expressed as $n\pi$, where n is a positive integer. Find $n$.
| B | math_Geometry | mathematics |
||
pythonio_230 | pythonio-mc | Program:
def get_ludic(n):
ludics = []
for i in range(1, n + 1):
ludics.append(i)
index = 1
while(index != len(ludics)):
first_ludic = ludics[index]
remove_index = index + first_ludic
while(remove_index < len(ludics)):
ludics.remove(ludics[remove_index])
remove_index = remove_index + first_ludic - 1
index += 1
return ludics
Input:
get_ludic(25)
Output: | A | code | computer_science |
||
pythonio_908 | pythonio-mc | Program:
def len_log(list1):
min=len(list1[0])
for i in list1:
if len(i)<min:
min=len(i)
return min
Input:
len_log(["win","lose","great"])
Output: | B | code | computer_science |
||
aquarat_53654 | deepmind/aqua_rat | A train moves with a speed of 162 kmph. Its speed in metres per second is | A. 10.8 B. 18 C. 30 D. 38.8 E. 45 | E. 45 | Solution
Speed = 108 Kmph
= (162 x 5/18)m/sec
= 45 m/sec.
Answer E | high_school_physics | physics |
mmlu_aux_train_98798 | mmlu_aux_train | in which of these conditions could one most likely skid off the road?
A. driving on a dry day
B. driving in optimal conditions
C. driving on an icy day
D. driving on a clear day | C. driving on an icy day | conceptual_physics | physics |
||
allenai/sciq_6805 | allenai/sciq | Oxytocin, which stimulates the contractions of labor, is a type of what?
A. steroid
B. metabolite
C. inhibitor
D. hormone | D. hormone | A common sign that labor will be short is the so-called “bloody show. ” During pregnancy, a plug of mucus accumulates in the cervical canal, blocking the entrance to the uterus. Approximately 1–2 days prior to the onset of true labor, this plug loosens and is expelled, along with a small amount of blood. Meanwhile, the posterior pituitary has been boosting its secretion of oxytocin, a hormone that stimulates the contractions of labor. At the same time, the myometrium increases its sensitivity to oxytocin by expressing more receptors for this hormone. As labor nears, oxytocin begins to stimulate stronger, more painful uterine contractions, which—in a positive feedback loop—stimulate the secretion of prostaglandins from fetal membranes. Like oxytocin, prostaglandins also enhance uterine contractile strength. The fetal pituitary also secretes oxytocin, which increases prostaglandins even further. Given the importance of oxytocin and prostaglandins to the initiation and maintenance of labor, it is not surprising that, when a pregnancy is not progressing to labor and needs to be induced, a pharmaceutical version of these compounds (called pitocin) is administered by intravenous drip. Finally, stretching of the myometrium and cervix by a full-term fetus in the vertex (head-down) position is regarded as a stimulant to uterine contractions. The sum of these changes initiates the regular contractions known as true labor, which become more powerful and more frequent with time. The pain of labor is attributed to myometrial hypoxia during uterine contractions. | college_biology | biology |
|
aquarat_91852 | deepmind/aqua_rat | A present value of a machine is $1200. Its value depletion rate is 10% per annum then find the machine value after 2 years? | A. $972 B. $810 C. $915 D. $715 E. $795 | A. $972 | P= $1200
R = 10%
T = 2 years
Machine value after 2 years = P[(1-R/100)^T]
=1200*9/10 * 9/10
=$972
Answer is A | college_mathematics | mathematics |
mmlu_aux_train_98428 | mmlu_aux_train | Which human is more likely to be free of scars
A. a pro athlete
B. an active kid
C. an old man
D. an unborn boy | D. an unborn boy | high_school_biology | biology |
||
math_506 | math_mc | On a standard die one of the dots is removed at random with each dot equally likely to be chosen. The die is then rolled. What is the probability that the top face has an odd number of dots? | B | math_Counting & Probability | mathematics |
||
math_120 | math_mc | Evaluate the sum \[\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{k}{2^k} + \cdots \] | B | math_Algebra | mathematics |
||
NLP4Education_31 | NLP4Education | Select the answer that correctly describes the differences between formal and natural languages.
A. Formal languages are by construction explicit and non-ambiguous, while natural languages are implicit and ambiguous.
B. Formal languages are implicit and ambiguous, while natural languages are explicit and non-ambiguous.
C. Formal languages are explicit and ambiguous, while natural languages are implicit and non-ambiguous.
D. Formal languages are implicit and non-ambiguous, while natural languages are explicit and ambiguous. | A. Formal languages are by construction explicit and non-ambiguous, while natural languages are implicit and ambiguous. | formal_logic | mathematics |
||
aquarat_43178 | deepmind/aqua_rat | If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ? | A. 1/2 B. 1/4 C. 3/4 D. 2/3 E. None of these | A. 1/2 | Explanation :
a∗b∗c/b∗c∗d= 130/65 => a/d = 2
d∗e∗f/c∗d∗e= 250/1000 => f/c = 14
a/d* f/c = 2 * 1/4 = 1/2
Answer : A | college_mathematics | mathematics |
math_1371 | math_mc | Suppose that the number $\sqrt{2700} - 37$ can be expressed in the form $(\sqrt a - b)^3,$ where $a$ and $b$ are positive integers. Find $a+b.$ | A | math_Intermediate Algebra | mathematics |
||
math_946 | math_mc | Points $A$, $B$, $C$, and $T$ are in space such that each of $\overline{TA}$, $\overline{TB}$, and $\overline{TC}$ is perpendicular to the other two. If $TA = TB = 10$ and $TC = 9$, then what is the volume of pyramid $TABC$? | A | math_Geometry | mathematics |
||
allenai/sciq_7379 | allenai/sciq | The cells within meristems divide relatively frequently, generating additional what?
A. photosynthesis
B. cells
C. proteins
D. chlorophyll | B. cells | high_school_biology | biology |
||
mmlu_aux_train_82015 | mmlu_aux_train | You've heard of 3D printing from newspaper and TV programs. It can "print" in plastic, metal, nylon, and over a hundred other materials. 3D printing technology has been around since the 1980s, it was not widely used until the early 2010s. The first working 3D printer was created in 1984 by Chuck Hull. 3D printers use many different types of technologies, but they all share one thing in common: they create a three-dimensional object by building it layer , by continuing layer, until the whole object is completed. Imagine a baker lay down each layer one at a time until the whole cake is formed. 3D printing is somewhat similar, but just a bit stricter. How can 3D printers work so well? The most important thing-a program, a 3D printer also needs to have instructions for what to print from a computer. It needs a file as well. The file which is a Computer Aided Design (CAD) paper is created with the use of a 3D modeling program. The program creates a paper that is sent to the 3D printer. Along the way, software pieces the design into hundreds, or more likely thousands of layers. The 3D printer builds up one layer at a time, from the bottom to the top, until the object is done. 3D printings can be used for making many kinds of things such as machine parts, daily life objects, even human organs using a person's own cells. Nowadays, Marc. Dillon founds a project which deals with many world famous paintings like Leonardo da Vinci's Mona Lisa, Van Gogh's Sunflower with 3D technology. This project helps the blind people enjoy the fantastic art through touching. In order to provide a good user experience, these 3D paintings have special instruments which can tell people what they touch. The first working 3D printer was created in _ .
A. 1980
B. 1984
C. 2001
D. 2010 | B. 1984 | college_computer_science | computer_science |
||
mmlu_aux_train_93171 | mmlu_aux_train | Water enters a plant cell through the
A. cell wall.
B. chloroplasts.
C. mitochondria.
D. nucleus. | A. cell wall. | high_school_biology | biology |
||
math_456 | math_mc | Four distinct points, $A$, $B$, $C$, and $D$, are to be selected from $1996$ points evenly spaced around a circle. All quadruples are equally likely to be chosen. What is the probability that the chord $\overline{AB}$ intersects the chord $\overline{CD}$? | D | math_Counting & Probability | mathematics |
||
allenai/sciq_6182 | allenai/sciq | The ends of linear chromosomes are maintained by the action of which enzyme?
A. cytokine
B. insulin
C. pepsin
D. telomerase | D. telomerase | Figure 9.11 The ends of linear chromosomes are maintained by the action of the telomerase enzyme. | college_biology | biology |
|
NLP4Education_511 | NLP4Education | Using salt for UNIX passwords …
A. allows to speed up the verification for the server.
B. makes the protocol secure against computationally unbounded adversary.
C. allows to transmit the password over a non confidential channel without compromising the security.
D. helps preventing dictionary attacks. | D. helps preventing dictionary attacks. | computer_security | computer_science |
||
allenai/sciq_8339 | allenai/sciq | Gain or loss of what causes an atom to become a negatively or positively charged ion?
A. nucleus
B. protons
C. electrons
D. neutrons | C. electrons | The girl pictured above became negatively charged because electrons flowed from the van de Graaff generator to her. Whenever electrons are transferred between objects, neutral matter becomes charged. This occurs even with individual atoms. Atoms are neutral in electric charge because they have the same number of negative electrons as positive protons. However, if atoms lose or gain electrons, they become charged particles called ions. You can see how this happens in the Figure below . When an atom loses electrons, it becomes a positively charged ion, or cation. When an atom gains electrons, it becomes a negative charged ion, or anion. | high_school_chemistry | chemistry |
|
math_1188 | math_mc | Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$ Find the minimum value of
\[\frac{1}{a} + \frac{2}{b}.\] | D | math_Intermediate Algebra | mathematics |
||
math_957 | math_mc | Let $R = (8,6)$. The lines whose equations are $8y = 15x$ and $10y = 3x$ contain points $P$ and $Q$, respectively, such that $R$ is the midpoint of $\overline{PQ}$. The length of $PQ$ equals $\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
| B | math_Geometry | mathematics |
||
mmlu_aux_train_10750 | mmlu_aux_train | Julianna Huth, a second grader at Green Primary School, in Green, Ohio, is a fan of the digital world. The 8-year-old enjoys e-books at home and at school. "It's just cool that you can read on your IPad," said Julianna, who started using e-books when she was 6. "It's more fun and you learn more from it." Children would say that books on e-readers are fun. They include music, cartoons and other interactive functions that make reading a book feel like playing a video game. But is it better than a book? Julianna's teacher, Kourtney Denning, thinks highly of e-books. "Traditional books aren't good enough anymore," she said. "We have to transform our learning as we know it." Julianna's mother, Cathy Ivancic, said that electronic devices like the IPad were new and fun and gave children the motivation to read, including those who didn't like reading. Some people, however, are suggesting a closer look, especially for younger children learning to read. "Read traditional books with your child. We don't have any evidence that any kind of electronic device is better than a parent," said Julia Parish-Morris, who has studied e-books and how children interact with them. Ms. Parish-Morris and educators are concerned that children can be distracted by the cartoons and gamelike features within e-books. Keeping a focus on the story is important in developing reading and writing skills. "The most important thing is sitting and talking with your children," said Gabrille Strouse, a professor who has studied e-books. "Whether you're reading a book or an e-book, co-interacting, co-viewing is the best way for them to learn." Lisa Guernsey, director of the early education initiative at the New America Foundation, says conversations about how events of a story relate to(......) the child's own life, or asking open-ended questions about what happened, are examples of natural dialogue. But this kind of interaction is often different with e-books , she said, and in some cases, disappears. "We are seeing some evidence that parents expect the e-books to do it all and are stepping back from communicating with their children," she said. According to the text, Julianna _ .
A. likes playing video games
B. has great love for literature
C. seldom uses e-books at home
D. is crazy about reading e-books | D. is crazy about reading e-books | high_school_computer_science | computer_science |
||
mmlu_aux_train_54406 | mmlu_aux_train | Zach drove over to Mary's place. She would be his wife soon. She was in China, visiting her parents. Her son Bradley hadn't gone with her. Bradley was a junior in high school. He neither liked nor disliked Zach, even though he had known Zach for three years. Zach was still trying to get along well with Bradley. When Zach arrived, he asked if Bradley wanted to drive his car. Bradley had a driver's license. Bradley said all right. Zach told him not to drive fast, but that he could drive anywhere he wanted. Bradley got on the road. Zach gave Bradley a few driving tips: Don't drive next to big trucks, because you never know when they might crush you. Don't drive behind trucks filled with things, because you never know when something in the truck will fly out and hit your car. On their way back, Zach suggested that they stop at the golf course. He wanted to show Bradley how to play golf. Bradley wasn't interested. He preferred his video games. But Bradley soon discovered that golf was fun! He hit a lot of balls. Zach told him that he was doing well. The next day Bradley, for the first time ever, called Zach. He had a few blisters on his hands. Zach said that usually happened. Then Bradley asked if Zach would come next Saturday so they could take a drive and hit golf balls again. Zach said, of course, and felt happy. The best title for the text might be " _ ".
A. You are not my dad, but I begin to love you!
B. I begin to love you, my son!
C. You can do better, boy!
D. Do you love me, dad? | A. You are not my dad, but I begin to love you! | high_school_computer_science | computer_science |
||
allenai/sciq_5419 | allenai/sciq | What changes the chemical composition of a substance and can only occur through a chemical reaction?
A. mineral changes
B. Oxygen Changes
C. carbon changes
D. chemical changes | D. chemical changes | Pure substances, such as compounds, can be separated through chemical changes. Chemical changes change the chemical composition of a substance and can only occur through a chemical reaction. | high_school_chemistry | chemistry |
|
mmlu_aux_train_62484 | mmlu_aux_train | Technology is making life easier for some dairy farmers.They use robotic systems to milk their cows.Cows are trained to follow a series of paths that lead to milking stations.Only one cow at a time can enter a station. Once inside,the cow is rewarded with food.As the cow eats,a robotic arm cleans and connects the animal to the milking machine.A few minutes later,milking is complete.The gate is opened,the cow is released and the next cow enters. The robotic systems are designed to operate 24 hours a day.The cows get to decide when they want to be milked.Cows are milked an average of about three times a day.Some are milked four to six times a day. The cows wear collars around their necks that identify them to the system.A computer keeps records on their eating and milking.A cow is released from the station if the computer decides it should not be milked. The automated system also measures the temperature and color of freshly produced milk.Milk is thrown away if it does not pass the tests. Professor Plaut believes the systems will appeal especially to the next generation of farmers.She means young people who are more interested in technology and less interested in working all the time on the farm.Still,she says the price of robotic milking systems will continue to limit their use. Doug and Tina Suhr have more than 100 cows on their family farm.Last year it became the fourth farm in southeast Minnesota to get a robotic milking system.A recent story in a local agricultural newspaper said the first robot cost 175 000 dollars.The second cost 150 000. Doug told AgriNews that wages that would have been paid for one employee in five years will pay for one robot.He says the increase in milk production reaches a high of more than six kilograms per cow per day. Besides milking cows,the robotic system also can _ .
A. adjust the temperature of milking stations
B. judge the quality of fresh milk
C. improve the appetite of cows
D. keep fresh milk for two weeks | B. judge the quality of fresh milk | college_biology | biology |
||
pythonio_834 | pythonio-mc | Program:
def find_fixed_point(arr, n):
for i in range(n):
if arr[i] is i:
return i
return -1
Input:
find_fixed_point([-10, -1, 0, 3, 10, 11, 30, 50, 100],9)
Output: | C | code | computer_science |
||
mmlu_aux_train_96352 | mmlu_aux_train | A rod that is wobbling from being struck with a stick will
A. be sold
B. be silent
C. be audible
D. be frozen | C. be audible | conceptual_physics | physics |
||
mmlu_aux_train_40604 | mmlu_aux_train | Every day it seems that people are coming up with new and innovative ways to use mobile devices like cellphones and smart phones. Researchers at Princeton University are looking for new ways to measure a person's sense of _ with mobile devices. To gain a better understanding of how cellphones and other mobile devices can measure our sense of happiness, the research team conducted a study that was published recently in the journal Demography. To gather data for their study, the team created an application for mobile devices using the Android operating system. Once the app was developed, the researchers invited people to download it and take part in their study. Over a three-week period, the research team was able to collect data from some 270 participants living in 13 countries. Participants came not only from the United States, but also from other nations like Australia, Canada, China, France, Germany, Israel, Japan, Norway, South Korea, Spain, Sweden and the United Kingdom. Over the course of the study, participants received occasional text questions from the researchers that asked "How happy are you?". Along with recording their response, the app used the mobile device's built-in GPS to keep track of the participant's location. The study participants were asked to rate their current state of happiness on a scale of zero to five. As they gathered data from the information collected through the application, the researchers then were able to create new methods that could help provide a better understanding of how our surroundings can influence our emotional well-being. The researchers learned that mobile devices can provide an effective way to quickly grab information that, because of today's active lifestyle, can be difficult to record. Being able to quickly grab this information was something the researchers felt was important. They said feelings and emotions that were recorded as they were happening were most likely to be more honest and precise than using other methods like writing down how they felt on a piece of paper after the fact. Which of the following statements is true according to the passage?
A. The study the team conducted has not been published yet.
B. About 270 people from 13 countries participated in the study.
C. The participants didn't need to download the app to participate.
D. None of the participants came from the United Kingdom. | B. About 270 people from 13 countries participated in the study. | college_computer_science | computer_science |
||
pythonio_361 | pythonio-mc | Program:
def Repeat(x):
_size = len(x)
repeated = []
for i in range(_size):
k = i + 1
for j in range(k, _size):
if x[i] == x[j] and x[i] not in repeated:
repeated.append(x[i])
return repeated
Input:
Repeat([10, 20, 30, 20, 20, 30, 40, 50, -20, 60, 60, -20, -20])
Output: | A | code | computer_science |
||
NLP4Education_224 | NLP4Education | Which of the following statements is correct?
A. When applying stochastic gradient descent on the objective function $f(\boldsymbol{w}):=\sum_{n=1}^{30}\left\|\boldsymbol{w}-\boldsymbol{x}_{n}\right\|^{2}$ where $\boldsymbol{x}_{n}$ are the datapoints, a stochastic gradient step is roughly $30 \times$ faster than a full gradient step.
B. In practice, it always works better to apply drop-out or other regularization techniques before your model begins to learn any patterns in the data.
C. When applying stochastic gradient descent on the objective function $f(\boldsymbol{w}):=\sum_{n=1}^{30} n \cdot\|\boldsymbol{w}\|^{2}$, a stochastic gradient (for the $n$-th summand) is given by $2\boldsymbol{w}$.
D. The function $f(\boldsymbol{u} ; \boldsymbol{v}):=g\left(\boldsymbol{u} \boldsymbol{v}^{\top}\right)$ is always convex over all pairs $(\boldsymbol{u} ; \boldsymbol{v}) \in \mathbb{R}^{2} \times \mathbb{R}^{2}$ when $g(\boldsymbol{X}):=X_{12}+X_{21}$. | A. When applying stochastic gradient descent on the objective function $f(\boldsymbol{w}):=\sum_{n=1}^{30}\left\|\boldsymbol{w}-\boldsymbol{x}_{n}\right\|^{2}$ where $\boldsymbol{x}_{n}$ are the datapoints, a stochastic gradient step is roughly $30 \times$ faster than a full gradient step. | machine_learning | computer_science |
||
mmlu_aux_train_76361 | mmlu_aux_train | When people are dirty, they take a bath or a shower. Animals don't have soap , but they do keep themselves clean. Many animals with hair, such as dogs and cats, keep themselves clean by licking their hair. They also use their teeth to pull out small dirty things from their hair. When they lick their hair, it is almost as if they are using a wet brush to clean themselves. Birds take baths to stay clean. First they walk through water that is not deep. Next they beat their wings to dry themselves. Birds also take sand baths on the ground. It is thought that they do this to drive away parasites . Even fish need cleaning. Fish have very little parasites that live in their mouths. Some fish live by eating these parasites off other fish. Such fish are called "cleaner fish". Larger fish will open their mouths so that the cleaner fish can get in to clean. Some animals that live in groups clean each other, such as monkeys. They often clean one another. One monkey may clean an area that the other monkey can't reach. How interesting it is! One way that birds keep clean is to _ .
A. open their mouths
B. take sand baths
C. beat their wings
D. clean each other | B. take sand baths | high_school_biology | biology |
||
aquarat_29558 | deepmind/aqua_rat | The present worth of $3600 due in 2 years at 20% per annum compound interest is? | A. $1200 B. $1850 C. $2010 D. $3200 E. $2500 | E. $2500 | Present worth = 3600/ (1 + 20/100)^2 = 3600 * 5/6 * 5/6 = $2500
Answer is E | college_mathematics | mathematics |
aquarat_15207 | deepmind/aqua_rat | Factory X's bulbs work for over 5000 hours in 78% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 90% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? | A. 76.4% B. 76.7% C. 77.4% D. 75% E. 73.9% | B. 76.7% | For X, 90% of 78% will work.
For Y, 10% of 65% will work. *10% is the rest of the bulb supply in the market.
So, the probability that a purchased bulb will work is:
0.90(0.78) = .702
0.10(0.65) = 0.065
The combined probability then is 70.2 + 6.5 = 76.7%
ANS B | high_school_statistics | mathematics |
mmlu_aux_train_45249 | mmlu_aux_train | A telescope , called Gaia, is being designed by astronomers in Europe, and it couldn't be more different from Pan-STARRS, which is another telescope being designed. While Pan-STARRS will be looking for asteroids and comets headed for Earth, Gaia will be looking at our entire galaxy . Gaia is designed to draw a map of the Milky Way, our home galaxy. Just as a map of your town gives you a picture of where things are located, Gaia's map of the galaxy will tell astronomers where the stars are. Over five years, Gaia will observe about a billion stars and other objects in our galaxy. Each object will be observed about 70 times. Gaia will be sent into space connected to a rocket. It contains two telescopes, each focused at a different angle . These two telescopes act like Gaia's "eyes". The reason why humans can see things in 3D is that we have two eyes focused on the same object, at slightly different angles. By using two telescopes like eyes, Gaia can produce the first 3D map of the positions of the stars it views. Gaia, which is to be sent into space in 2011, will be a powerful telescope. If you were to use it on Earth, for example, you could stand 600 miles away from your best friends and still get a clear picture of their hair. Gaia is one of more than a dozen telescopes being designed by scientists right now. The next generation of telescopes will reveal new parts of our universe that will seem surprising. The universe, with all its planets, stars and other strange objects, is a puzzle with pieces that we can see by using powerful telescopes. How many different angles can Gaia focus at each time?
A. 2 .
B. 3.
C. 4 .
D. 5. | A. 2 . | astronomy | physics |
||
allenai/sciq_7415 | allenai/sciq | What are the most dramatic, sudden, and dangerous types of mass wasting?
A. landslides
B. monsoons
C. earthquakes
D. volcanoes | A. landslides | Landslides are the most dramatic, sudden, and dangerous types of mass wasting. Landslides are sudden falls of rock; by contrast, avalanches are sudden falls of snow. | college_geology | earth_science |
|
aquarat_52815 | deepmind/aqua_rat | The arithmetic mean of set P is zero. If Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P consisting of all those elements in P which are more than two but less than three standard deviations away from the arithmetic mean of P, what could be equal to the standard deviation of P? | A. 0.54 B. 0.77 C. 0.82 D. 0.97 E. 1.62 | B. 0.77 | This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P
Q consists of all those elements in P that are more than 2 but less than 3 SDs away from the arithmetic mean of P
If an element is 1 PD away from the mean, we can write it as either m + PD or m - PD
Similarly, if an element is 2 PDs away from the mean, we can write it as either m + 2*PD or m - 2*PD
So, if these elements lie within 2 and 3 PDs of mean, m=0
we can find which one of these values of PD satisfies each value within Q
Only PD = 0.77 does
Answer : B | college_mathematics | mathematics |
mmlu_aux_train_22563 | mmlu_aux_train | The Internet is not perfect. There are many problems with it. The Internet is not organized. There is no one in charge of the Internet. It is sometimes difficult to find what you are looking for. It is also easy to get the wrong information on the "Net". Some businessmen cheat people on the Internet. Internet thieves can steal credit card numbers. Some advertisers send spam to e-mail boxes. E-mail boxes are often filled with these unwanted advertisements. Illegal businesses can operate on the Internet. These businesses sell X-rated materials, cigarettes and alcohol to teenagers. The Internet has websites with information about making bombs, breaking the law and terrorism. Criminals can fool people, especially children, in chat rooms. They can spread poisonous information and attack new members. The Internet is the greatest advance in communication since human emerged. But it can also like a dark alley in a dangerous part of town. Parents need to set parental controls on their children when they use the Internet. This will keep some of the bad material away from their children. The Internet can be dangerous to computers, too. Some people who have evil intentions enjoy causing problems for other people they don't even know. They create computer viruses. A computer can get virus by downloading a program that has a virus in it. Some virus come by e-mail. A virus can destroy the data a person has saved in computer files. A virus can cause a computer to crash. A virus can also reproduce itself! It can send copies of itself to everyone on a person's e-mail address list. Then these people's will have the same problems and can't work normally! Why can illegal businesses operate on the Internet?
A. Because some people like to buy banned products on the Internet.
B. Because there is no one in charge of the Internet.
C. Because X-rated materials, cigarettes, alcohol and so on can be sold well on the Internet.
D. Because people who operate businesses on the Internet are criminals. | B. Because there is no one in charge of the Internet. | computer_security | computer_science |
||
mmlu_aux_train_93095 | mmlu_aux_train | During its lifetime, which object is known to change in brightness, color, and temperature?
A. star
B. moon
C. asteroid
D. planet | A. star | astronomy | physics |
||
math_1077 | math_mc | A square is inscribed in a circle. A smaller square has one side coinciding with a side of the larger square and has two vertices on the circle, as shown. What percent of the area of the larger square is the area of the smaller square?
[asy]
draw(Circle((0,0),1.4142));
draw((1,1)--(1,-1)--(-1,-1)--(-1,1)--cycle);
draw((0.2,1)--(0.2,1.4)--(-0.2,1.4)--(-0.2,1));
[/asy] | B | math_Geometry | mathematics |
||
math_276 | math_mc | There are two values of $a$ for which the equation $4x^2+ax+8x+9=0$ has only one solution for $x$. What is the sum of those values of $a$? | B | math_Algebra | mathematics |
||
math_406 | math_mc | If $x+\frac{1}{y}=1$ and $y+\frac{1}{z}=1$, what is the value of the product $xyz$? | C | math_Algebra | mathematics |
||
mmlu_aux_train_1740 | mmlu_aux_train | Two students are asked to make a chart on the electromagnetic spectrum. Reading left to right, one student's chart shows the spectrum from gamma rays to radio waves, while the other student's chart shows the opposite. If the teacher says that both charts are correct, then
A. it does not matter how the students label their charts.
B. there are multiple ways to organize information.
C. the waves have the same properties.
D. the students are being encouraged to do their work. | B. there are multiple ways to organize information. | high_school_physics | physics |
||
mmlu_aux_train_94329 | mmlu_aux_train | The orbit of Earth is almost circular and has a period of about 365 days. Compared to the orbit of Earth, which of these objects usually have highly elliptical orbits and can have periods of over 1000 years?
A. asteroids
B. meteorites
C. comets
D. moons | C. comets | astronomy | physics |
||
mmlu_aux_train_1224 | mmlu_aux_train | The pull of gravity on Earth is a direct result of the
A. mass of Earth.
B. magnetic field of Earth.
C. rotation of Earth on its axis.
D. weight of Earth's atmosphere. | A. mass of Earth. | conceptual_physics | physics |
||
math_409 | math_mc | Anthony made $5$ of his first $12$ free throw attempts. If he makes $2/3$ of his next $24$ attempts, by how many percentage points will he increase his overall success rate percentage? Express your answer to the nearest whole number. | B | math_Algebra | mathematics |
||
mmlu_aux_train_92797 | mmlu_aux_train | Based on the evidence available at the time, early models of the solar system stated that all objects in space orbited Earth. In the 16th century, an astronomer reevaluated the evidence and proposed a model of the solar system that is still in use. What part of this model corrected the mistake in previous solar system models?
A. The Sun is at the center of this model.
B. Earth is the largest object in this model.
C. This model contains more than one star.
D. This model shows that Earth is stationary. | A. The Sun is at the center of this model. | astronomy | physics |
||
mmlu_aux_train_96351 | mmlu_aux_train | A clean air act must be followed by a
A. web design course
B. hard drive manufacturer
C. math class
D. computer programming course | B. hard drive manufacturer | computer_security | computer_science |
||
math_633 | math_mc | A bug starts at a vertex of an equilateral triangle. On each move, it randomly selects one of the two vertices where it is not currently located, and crawls along a side of the triangle to that vertex. Given that the probability that the bug moves to its starting vertex on its tenth move is $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m + n.$
| D | math_Counting & Probability | mathematics |
||
mmlu_aux_train_25868 | mmlu_aux_train | Worst Game Ever? E.T. the Extra-Terrestrial is a video game that came out for the Atari 2600 game system in 1982. It was based on a very popular film of the same name. Star programmer Howard Warshaw created it with consultation from the film director Steven Spielberg. It was July 27th, 1982. Howard Warshaw was hot off the success of his most recent game, Raiders of the Lost Ark. He received a call from Atari C.E.O, Ray Kassar. Atari had bought the rights to make a video game version of Spilberg's Movie, E.T., which had just been released in June. Kassar told Warshaw that Spielberg had specifically asked for Warshaw to make the game Warshaw was honored, but there was one huge problem. Atari needed the game finished by September 1stin order to start selling it during the Christmas season. It had taken Warshaw six months to create Raiders of the Lost Ark. The game he made prior to that took him seven months. He was expected to create E.T. in around five weeks. Warshaw accepted the challenge anyway and production began. Spielberg wanted Warshaw to create a simple maze game similar to Pac-man, but V had a bigger vision. He wanted players to explore different environments in 3D world. Usually companies like Atari have people test games before releasing them, but they decided to skip testing due to time limitations. The game was a hot holiday item at first. Unfortunately, Atari overestimated how many they would sell. They made 5 million copies and they only sold 1.5 million. Most people who played the game hated it. The graphics were bad. Game play was awkward. Players got stuck in holes that they couldn't escape. Some people who stuck with the game grew to like it, but it wasn't the mainstream success that Atari had hoped it would be. Too many copies of the game sat on store shelves. One employee remembers the game being discounted five times, from $49.95 to less than a dollar. A newspaper in New Mexico reported that between 10 and 20 semitrailer truckloads of Atari products were crushed and buried at landfill in Alamogordo. Atari lost over $100 million on E.T.. The game was so bad that it was said to have affected Atari's reputation. The video game industry soon fell into a deep depression, with a profit $3.2 billion in 1983 to just over $100 million in 1985, almost a 97% drop. E.T. the Extra-Terrestrial will long be remembered as one of the worst games ever made, if not one of the causes of the decline of entire video game industry. What can we learn about Howard Warshaw from the passage?
A. He was ambitious.
B. He was cautious.
C. He was unreliable.
D. He was inexperienced. | A. He was ambitious. | high_school_computer_science | computer_science |
||
aquarat_26539 | deepmind/aqua_rat | A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. | A. 45 m3/min B. 40 m3/min C. 50 m3/min D. 55 m3/min E. None of these | C. 50 m3/min | 2400/x - 2400/x+10=8,solving this we get x,
=50m3/min
Answer: C | college_mathematics | mathematics |
pythonio_897 | pythonio-mc | Program:
def count_elim(num):
count_elim = 0
for n in num:
if isinstance(n, tuple):
break
count_elim += 1
return count_elim
Input:
count_elim([10,20,30,(10,20),40])
Output: | C | code | computer_science |
||
mmlu_aux_train_33074 | mmlu_aux_train | For many blind people, computers are inaccessible. It can cost $1,000 to purchase "screen reader" software, but two blind computer programmers from Australia have solved this problem. Queensland University of Technology (QUT) graduate James Teh and business partner Michael Curran developed a free, open-source program, called NVDA, which provides a voice to read the words on a computer screen as the cursor moves over them. NVDA won the blind inventors an award in the grand final program of the ABC's New Inventors, which aired on September 23. They took home the award for an invention that "might make a real difference to people's lives or the environment." "A sighted person takes for granted that they can sit down at any computer and use it," Mr Teh said. "We really are in the information age -- everything is online these days. So access to computers for the blind is very important, which is why we wanted our software to be free." Mr Teh, who majored in software engineering at QUT, said blind students typically didn't have the money to purchase "screen reader" technology, at the time in their life when they most needed it. Now NVDA could be downloaded on to anyone's personal computer free of charge. "It can also be copied to a USB stick, which can be used on any PC at school or university, with no installation required," he said. Mr Teh and Mr Curran have drawn on their own experience as blind computer users to develop a product which has some unique features. For example, as the mouse moves up and down the screen, a sound becomes higher and lower to let you know where the cursor is located. NVDA has been translated into 27 languages, thanks to volunteer translators. To date, there have been over 50,000 downloads. Mr Teh and Mr Curran have been working on the project since 2006. They worked on their product without any pay for two years. When Mozilla offered some funding in 2008, Mr Teh was able to quit his day job and work full-time developing NVDA. NVDA won an award in the program of the ABC's New Inventors because it _ .
A. causes no harm to the environment
B. influences people' s lives
C. is aiming at blind people
D. is easy to use | B. influences people' s lives | high_school_computer_science | computer_science |
||
math_230 | math_mc | The line $x = k$ intersects the graph of the parabola $x = -2y^2 - 3y + 5$ at exactly one point. What is $k$? | C | math_Algebra | mathematics |
||
mmlu_aux_train_4382 | mmlu_aux_train | Many people like to use microwave ovens rather than traditional ovens. The main reason for this is that microwave ovens
A. take less time to cook food than regular ovens do.
B. get hotter than regular ovens.
C. do not leave spattered grease or food on the inside.
D. cannot overcook food. | A. take less time to cook food than regular ovens do. | conceptual_physics | physics |
||
allenai/sciq_2366 | allenai/sciq | The name carbon tetrachloride implies one carbon atom and four of which other atoms?
A. calcium
B. iodine
C. chlorine
D. nitrogen | C. chlorine | The name carbon tetrachloride implies one carbon atom and four chlorine atoms, so the formula is CCl4. Saylor URL: http://www. saylor. org/books. | high_school_chemistry | chemistry |
|
allenai/sciq_4734 | allenai/sciq | An electrical motor changes electrical energy into what?
A. mechanical energy
B. solar energy
C. chemical energy
D. thermal energy | A. mechanical energy | Electrical motors change electrical energy into mechanical energy. The motor consists of an electrical circuit with part of the wires inside a magnetic field. This can be seen below. Positive charges move through the circuit in the direction of the light purple arrows. When the charges move up through the part of the coil that is right next to the north pole, the right hand rule tells us that the wire suffers the force, F , pushing the wire in the direction of the blue arrow, toward the back of the sketch. On the other side of the coil, where the charges are moving down through the field, the right hand rule shows the force would push this side of the coil toward the front. These two forces are working together, rotating the coil in the direction of the circular red arrow. | electrical_engineering | engineering |
|
mmlu_aux_train_2064 | mmlu_aux_train | Which is true of the seasonal weather patterns of places that are at the same latitude?
A. They have the same wind patterns.
B. They have the same amount of rain.
C. They have the same intensity of sunlight.
D. They have the same kinds of severe weather. | C. They have the same intensity of sunlight. | astronomy | physics |
||
allenai/sciq_9197 | allenai/sciq | What is the release of energy in the form of high energy electromagnetic waves?
A. gamma emission
B. normal emission
C. transient emission
D. x-ray emission | A. gamma emission | Gamma emission is the release of energy in the form of high energy electromagnetic waves. | high_school_physics | physics |
|
math_247 | math_mc | What real number is equal to the expression $2 + \frac{4}{1 + \frac{4}{2 + \frac{4}{1 + \cdots}}}$, where the $1$s and the $2$s alternate? | D | math_Algebra | mathematics |
||
mmlu_aux_train_16645 | mmlu_aux_train | The idea of micropayments--- charging Web users tiny amounts of money for single pieces of online content--- was basically put to sleep toward the end of the dot-com boom. In December 2000, Clay Shirky, a professor in New York University's interactive telecommunications program , wrote a manifesto that people still quote whenever someone suggests using the idea. "Micropayments will never work," he wrote, mainly because "users hate them." But wait. Without many people noticing, micropayments have arrived--- just not in the way they were originally imagined. The 99 cents you pay for a song on the Internet is a micropayment. So are the tiny amounts that some operators of small web sites can earn whenever someone clicks on the ads on their pages. Some stock-photography companies sell pictures for as little as $1 each. "Micropayments are here" said Benjamin M. Companie, a lecturer atprefix = st1 /NortheasternUniversity, "they just have not developed in the way that everybody expected." From the earliest days of the Web until around the time of Mr Shirky's manifesto, the expectation was that a handful of companies would provide platforms---or perhaps a single platform--- that would enable Web users to pay a penny or a dollar for a bit of content such as a newspaper article, or a research report. Simply clicking a link would complete the transaction . Sellers of content--- at the time, newspaper companies---were among the most interested in the idea as they looked for tax income that didn't depend on advertising. Mr. Shirky predicted that _ .
A. companies on the Internet would earn a lot of money
B. Web users would never pay for the websites
C. it was impossible to visit websites for free
D. all the companies on the Internet would go bankrupt . | B. Web users would never pay for the websites | college_computer_science | computer_science |
||
mmlu_aux_train_47466 | mmlu_aux_train | Gaudi Nanda sees a wearable computer as a handbag --- one that's built out of four-inch squares and triangles of fiber, with tiny computer chips embedded in it. It looks, feels and weighs like your typical leather purse. That's where the similarities end: this bag can wirelessly keep track of your belongings and remind you, just as you're about to leave the house, to take your wallet. It can review the weather report and suggest that you take an umbrella. This purse can even upload your favorite songs onto your scarf. Surely, a computing purse and scarf set may seem like the stuff of science fiction. But these devices, part of next generation of wearable computers, could become commonplace within a few years. Dupont created new super strong fibers that can conduct electricity and can be woven into ordinary-looking clothes. And the chipmaker developed chip packaging allowing wearable computers to be washed, even in the heavy-duty cycle. As a result, these new wearable devices are different from the heavy and downright silly versions of the recent past, which often required users to be wrapped in wires and type on their stomachs. Unlike their predecessors, these new wearable computers also make economic sense. When her bag becomes commercially available in two to three years, Nanda expects it will cost around $ 150, which is the price of an average leather purse. Here's how the bag works: You place a special radio-signal-transmitting chip onto your wallet. A similar radio in your purse picks up the signal and notifies you that you've forgotten to take your wallet. In turn, sensors on your purse's handles will notify the computer that you've picked up the purse and are ready to go. Already, these new kinds of wearable devices are being adopted for use in markets like auto repair, emergency services, medical monitoring - and even, increasingly, for consumers at large. _ According to the passage, the new wearable computers _ .
A. require users to operate on the stomach
B. pick up the signals through wires and chips
C. are being applied in some different areas now
D. are smarter but more expensive than the old ones | C. are being applied in some different areas now | high_school_computer_science | computer_science |
||
mmlu_aux_train_41108 | mmlu_aux_train | A middle school student ,who jumped into the hot seat when his school bus driver passed out on the way to class this morning is being praised as a "quick thinker" for leading the bus. and 15 other students .to safety. Seventh grader Jeremy Wuitschick is being praised by the local police chief for his actions. Wuitschick hopped out of his seat and grabbed the steering wheel . pulling the bus over to the side of the road before pulling the keys from the ignition "I'll give the kid credit for fast thinking. He did the right thing and we're going to do something for him. The kid definitely deserves credit." Milton Police Chief Bill Rhodes cold ABC News. Police officers were informed of a school bus driving irregularly through town around 8 a.m. today .but by the time an officer arrived at the scene ,Wuitschick had had it under control. He had pulled the bus over in front of Discovery Primary School . which is near to the school where the students were headed .Surprise Lake Middle School. "I knew something was wrong." Wuitschick told ABC. " it was pretty scary. I was just acting on instinct .It was all happening really quickly." Jeff Short .assistant dean for the Fife school district . said the students had been trained in emergency situations on the school bus .including how to shut down ,the bus in an emergency. A staff member at the school .John McCrossin . happened to be driving behind the bus when the driver lost consciousness . and rushed onto the bus to administer CPR( ) once Wuitschick had pulled over to the side of the road .Rhodes said. The kids told McCrossin they had already called 911. The bus driver . whose name has not been released . was taken to the hospital. Emergency service personnel told school administrators he was suffering from a problem related to the heart. Short said his condition was severe. Rhodes said that there were no traffic accidents or other injuries. From the passage we can learn that _ .
A. Bill Rhodes gave Wuitschick a credit card for his deed
B. McCtossin offered to call 911 when the event happened
C. Jeff Short happened to be driving behind the school bus
D. Wuitschick had been well trained in dealing with emergencies | D. Wuitschick had been well trained in dealing with emergencies | high_school_computer_science | computer_science |
||
math_981 | math_mc | $\triangle DEF$ is inscribed inside $\triangle ABC$ such that $D,E,F$ lie on $BC, AC, AB$, respectively. The circumcircles of $\triangle DEC, \triangle BFD, \triangle AFE$ have centers $O_1,O_2,O_3$, respectively. Also, $AB = 23, BC = 25, AC=24$, and $\stackrel{\frown}{BF} = \stackrel{\frown}{EC},\ \stackrel{\frown}{AF} = \stackrel{\frown}{CD},\ \stackrel{\frown}{AE} = \stackrel{\frown}{BD}$. The length of $BD$ can be written in the form $\frac mn$, where $m$ and $n$ are relatively prime integers. Find $m+n$.
| C | math_Geometry | mathematics |
||
mmlu_aux_train_4904 | mmlu_aux_train | Which process will separate the sugar from a mixture of sugar and water?
A. Stirring the mixture
B. Evaporating the water
C. Adding more water
D. Adding more sugar | B. Evaporating the water | high_school_chemistry | chemistry |
||
aquarat_50819 | deepmind/aqua_rat | If QUESTION = DOMESTIC what will b code for RESPONSE ? | A. OMESICEM B. HSDUISAH C. SSIDFUGD D. SDIFUGAU E. UIDFGWIW | A. OMESICEM | Explanation:
Q U E S T I O N
D O M E S T I C
We can see in the word 'RESPONSE' only R and P are the letters whose code is not given, by having a look on options we can say code for R is O and code for P is S (because common in all options).
Now we can easily code the word 'RESPONSE'as 'OMESICEM'.
Answer : A | formal_logic | mathematics |
aquarat_65925 | deepmind/aqua_rat | Lion, rat stay in jungle happily. Lion lies on: Mon, Tue, Wed. Rat lies on: Wed, Thurs , Sat. If lion says: I didn't lie yesterday. Rat says: I didn’t lie yesterday. So what day is today? | A. Tuesday B. wednesday C. Thursday D. Friday E. Sunday | A. Tuesday | Tuesday -- lion ll tell lie on tuesday
lion is saying lie that he didn't lie sday [ again a lie... bcozzz lion ll say lie on monday also]
Tuesday -- Rat ll not say lie on tuesday
ANSWER:A | formal_logic | mathematics |
math_48 | math_mc | The circle $2x^2 = -2y^2 + 12x - 4y + 20$ is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square? | C | math_Algebra | mathematics |
||
NLP4Education_342 | NLP4Education | Consider 3 regular expressions \(A\), \(B\), and \(C\), such that: the sets of strings recognized by each of the regular expressions is non empty; the set of strings recognized by \(B\) is included in the set of strings recognized by \(A\); some strings are recognized simultaneously by \(A\) and by \(C\); and no string is recognized simultaneously by \(B\) and \(C\). Which of the following statements are true? (where, for a regular expression \(X\), \((X)\) denotes the transducer which associates every string recognized by \(X\) to itself) (Penalty for wrong ticks)
A. Any string recognized by \(A\) but not by \(B\) is a left string in an association recognized by the transducer \((A)(C)\).
B. Any string recognized by \(B\) is (at least) associated to itself by the transducer \(A\otimes B\).
C. \((A\otimes B)\circ (C)\) recognizes a non empty set of string associations.
D. \((B\otimes A)\circ (C)\) recognizes a non empty set of string associations. | D. \((B\otimes A)\circ (C)\) recognizes a non empty set of string associations. | college_computer_science | computer_science |
||
allenai/sciq_9097 | allenai/sciq | Double-replacement reactions generally occur between substances in what kind of solution?
A. solid
B. aqueous
C. reactive
D. saline | B. aqueous | In this reaction, and are positively-charged cations, while and are negatively-charged anions. Double-replacement reactions generally occur between substances in aqueous solution. In order for a reaction to occur, one of the products is usually a solid precipitate, a gas, or a molecular compound such as water. | high_school_chemistry | chemistry |
|
NLP4Education_423 | NLP4Education | Which problem in communication is \emph{not} treated by cryptography?
A. confidentiality
B. integrity
C. authentication
D. data transmission | D. data transmission | computer_security | computer_science |
||
NLP4Education_358 | NLP4Education | Consider the program below. Tick the correct answer.
def fun(x: List[Int]) = if x.isEmpty then None else Some(x)
val lists = List(List(1, 2, 3), List(), List(4, 5, 6))
for
l <- lists
v1 <- fun(l)
v2 <- fun(v1)
yield v2
A. This program does not compile.
B. This program compiles and the last statement has type List[Int].
C. This program compiles and the last statement has type List[List[Int]].
D. This program compiles and the last statement has type List[Option[Int]]. | C. This program compiles and the last statement has type List[List[Int]]. | college_computer_science | computer_science |
||
mmlu_aux_train_89616 | mmlu_aux_train | A study reported: using a computer at home may be bad for a child's performance in math, science and English. It can't improve them. Children are spending more time chatting , playing games or sending and they aren't doing their homework. Li Jun, Hunan Now more and more people are buying and selling things on the Internet. Hackers around the world are interested in this. They often break in your system, but it's very difficult to find them. They even can take your money out of the bank. Xiao Yu, Guangdong I'm a 14-year-old girl in Tibet. The Qinghai-Tibet Railway was built in 2006. I can reach Beijing by train in about 48 hours. I can often go to visit my grandpa. Joma, Tibet I'm 13 years old. I want to invent a machine. My machine will _ the earthquake better and make people run to safe places. Lin Yan, Sichuan What does Li Jun think of using the computer at home?
A. It can help children improve their study.
B. It's good for a child's performance in math, science and English.
C. It's bad for children's study.
D. It's good for children to chat with each other. | C. It's bad for children's study. | high_school_computer_science | computer_science |
||
pythonio_905 | pythonio-mc | Program:
from collections import Counter
def most_common_elem(s,a):
most_common_elem=Counter(s).most_common(a)
return most_common_elem
Input:
most_common_elem('lkseropewdssafsdfafkpwe',3)
Output: | C | code | computer_science |
||
aquarat_65162 | deepmind/aqua_rat | The mean of 15 observations was 25. It was found later that an observation 40 was wrongly taken as 25. The corrected new mean is | A. 20 B. 30 C. 15 D. 18 E. 26 | E. 26 | Explanation:
Correct Sum = (25* 15 + 40 - 25) = 390
Correct mean = = 390/15 = 26
Answer: E | high_school_statistics | mathematics |
allenai/sciq_8928 | allenai/sciq | The changing of a light ray’s direction (loosely called bending) when it passes through variations in matter is called this?
A. vibration
B. wavelength
C. resonance
D. refraction | D. refraction | Refraction The changing of a light ray’s direction (loosely called bending) when it passes through variations in matter is called refraction. Speed of Light The speed of light c not only affects refraction, it is one of the central concepts of Einstein’s theory of relativity. As the accuracy of the measurements of the speed of light were improved, c was found not to depend on the velocity of the source or the observer. However, the speed of light does vary in a precise manner with the material it traverses. These facts have far-reaching implications, as we will see in Special Relativity. It makes connections between space and time and alters our expectations that all observers measure the same time for the same event, for example. The speed of light is so important that its value in a vacuum is one of the most fundamental constants in nature as well as being one of the four fundamental SI units. | conceptual_physics | physics |
|
mmlu_aux_train_96752 | mmlu_aux_train | Due to plates gliding over our planet's mantle, why is Vancouver likely to be destroyed?
A. it sits on an active fault line
B. it's located in Canada
C. it has French people
D. the Pacific Ocean is only half as blue as the Atlantic | A. it sits on an active fault line | earth_science | earth_science |
||
aquarat_60433 | deepmind/aqua_rat | A boatman trying to cross the river.the width of the river is 400m.he is selling boat with 10m/sec.he takes 50sec to cross the river due to flow of water.calculate the drift. | A. 500 B. 400 C. 300 D. 200 E. 100 | C. 300 | the distance boatman travel to cross the river=50*10=500m
he sell the boat diagonally.so height =400m,base be x and hypotenuse =500m
so by Pythagoras theorem, square of 400+ square of x=square of 500
so,square of x = 250000-160000
x=√250000-160000,x=√90000=300
drift =300m
answer C | conceptual_physics | physics |
allenai/sciq_3013 | allenai/sciq | What common code do all known living organisms use?
A. code of ethics
B. Morse code
C. genetic
D. biochemical | C. genetic | The genetic code is universal. All known living organisms use the same genetic code. This shows that all organisms share a common evolutionary history. | college_biology | biology |
|
aquarat_76097 | deepmind/aqua_rat | A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is | A. 3 B. 1 C. 2 D. 5 E. 6 | A. 3 | Put x =1 ⇒ f(1)+2*f(6-1) = 1 ⇒ f(1) + 2*f(5) = 1
Put x = 5 ⇒ f(5)+2*f(6-5) = 5 ⇒ f(5) + 2*f(1) = 5
Put f(5) = 5 - 2*f(1) in the first equation
⇒ f(1) + 2*(5 - 2*f(1)) = 1
⇒ f(1) + 10 - 4f(1) = 1
⇒ f(1) = 3
Answer: A | college_mathematics | mathematics |
mmlu_aux_train_94356 | mmlu_aux_train | Generally, the deeper rock layers of Earth are older than shallower rock layers. How can the collision of two tectonic plates change the order of the rock layers?
A. The rock layers contain pollutants that dissolve soil.
B. The rock layers lack water due to extended droughts.
C. The rock layers are compressed forming faults and folds.
D. The rock layers are moved closer to rivers which erode landforms. | C. The rock layers are compressed forming faults and folds. | earth_science | earth_science |
||
NLP4Education_507 | NLP4Education | The Vernam cipher…
A. …is perfectly secure (if used in a proper way).
B. …can be broken using an index of coincidence.
C. …is always less secure than DES.
D. …has a security which depends on the Moore law. | A. …is perfectly secure (if used in a proper way). | computer_security | computer_science |
||
math_42 | math_mc | What is the sum of all values of $k$ such that the equation $2x^2-kx+8=0$ has two distinct integer solutions? | B | math_Algebra | mathematics |
||
pythonio_11 | pythonio-mc | Program:
def count_ways(n):
A = [0] * (n + 1)
B = [0] * (n + 1)
A[0] = 1
A[1] = 0
B[0] = 0
B[1] = 1
for i in range(2, n+1):
A[i] = A[i - 2] + 2 * B[i - 1]
B[i] = A[i - 1] + B[i - 2]
return A[n]
Input:
count_ways(12)
Output: | B | code | computer_science |
||
math_464 | math_mc | Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron. How many distinguishable ways are there to construct the octahedron? (Two colored octahedrons are distinguishable if neither can be rotated to look just like the other.)
[asy] import three; import math; unitsize(1.5cm); currentprojection=orthographic(2,0.2,1); triple A=(0,0,1); triple B=(sqrt(2)/2,sqrt(2)/2,0); triple C=(sqrt(2)/2,-sqrt(2)/2,0); triple D=(-sqrt(2)/2,-sqrt(2)/2,0); triple E=(-sqrt(2)/2,sqrt(2)/2,0); triple F=(0,0,-1); draw(A--B--E--cycle); draw(A--C--D--cycle); draw(F--C--B--cycle); draw(F--D--E--cycle,dotted+linewidth(0.7)); [/asy]
$\textbf {(A)}\ 210 \qquad \textbf {(B)}\ 560 \qquad \textbf {(C)}\ 840 \qquad \textbf {(D)}\ 1260 \qquad \textbf {(E)}\ 1680$
| D | math_Counting & Probability | mathematics |
||
mmlu_aux_train_29502 | mmlu_aux_train | When some plates of the earth move suddenly, an earthquake happens. Many earthquakes begin under the sea. Earthquakes may happen anywhere on the earth. They often happen near mountains. During an earthquake, the shakings make rocks rise suddenly and even crack open. Houses fall, people are killed and hurt, and sometimes whole villages or cities are destroyed. Can we do something to keep ourselves safe from earthquakes? Scientists have studied earthquakes and make maps that show "earthquake belts". In areas in these belts, it's possible for earthquakes to happen. In these areas we can build strong houses to fight against earthquakes. In the future, scientists will be able to predict exactly when and where an earthquake will happen. They can also tell people what to do with it. Which of the following can be the best title of the passage?
A. A Scientist and an Earthquake
B. How to Fight against Earthquake
C. An Earthquake
D. Earthquake Today and Tomorrow | D. Earthquake Today and Tomorrow | college_biology | biology |
||
aquarat_37256 | deepmind/aqua_rat | what is the minimum value of f(x) where
f(x)=(logax+logbx+logcx) and a>b>c>1.. | A. 3 B. 2 C. 1 D. 4 E. 5 | A. 3 | here a,b,c are base for log..they aren't multiplied with x.
so logax=logex/logea;
f(x)= (logx/loga + logx/logb+ logx/logc);
= logx * (1/loga + 1/logb + 1/logc);
for minimum value of f(x) log values must me max 1
=1*3
= 3
ANSWER:A | college_mathematics | mathematics |
mmlu_aux_train_1431 | mmlu_aux_train | Use The Periodic Table of the Elements and the information below to answer the question. Magnesium metal (Mg) is grayish-white in color and reacts actively with water. Fluorine (F2) is a greenish-yellow gas at room temperature and is a member of the halogen family. These two elements react to produce magnesium fluoride (MgF2), a chemical commonly used in making windows and lenses. How do the elements magnesium (Mg) and fluorine (F2) produce the compound magnesium fluoride (MgF2)?
A. by nuclear connection
B. by physically combining
C. by magnetic connection
D. by chemically combining | D. by chemically combining | high_school_chemistry | chemistry |
||
mmlu_aux_train_93503 | mmlu_aux_train | When a guitar string is plucked, sound is produced by
A. the size of the guitar.
B. the metal on the guitar.
C. the wood on the guitar.
D. the vibrations of the string. | D. the vibrations of the string. | conceptual_physics | physics |
||
aquarat_39924 | deepmind/aqua_rat | Given that -1 ≤ v ≤1, -2 ≤ u ≤ -0.5 and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ? | A. -0.5 ≤ w ≤ 2 B. -4 ≤ w ≤ 4 C. -4 ≤ w ≤ 2 D. -2 ≤ w ≤ 0.5 E. None of these | B. -4 ≤ w ≤ 4 | Explanation :
We try to get an upper bound on the value of w.
After taking a look at the options we figure it out that if we take v=-1,z=-2 and u=-0.5.
we get the lower bound as -4.
If we take v=1, z=-2 and u=-0.5 we have the upper bound as 4.
Hence, the right option is 2.ie -4 ≤ w ≤ 4
Answer : B | college_mathematics | mathematics |
aquarat_84890 | deepmind/aqua_rat | If 'A' runs faster than ‘E’ but not as fast as 'D' and 'D' runs faster than 'C' but not as fast as' ‘B’, then the person who runs the fastest is | A. A B. B C. C D. D E. E | B. B | B is the fastest
ANSWER:B | formal_logic | mathematics |
mmlu_aux_train_69897 | mmlu_aux_train | We are all busy talking about and using the Internet ,but how many of us know about the history of the Internet? Many people are surprised when they find that the Internet was set up in the 1960s.At that time, computers were large and expensive. Computer networks didn' t work well .If one computer in the network broke down ,then the whole network stopped. So a new network system had to be set up. It should be good enough to be used by many different computers.If part of the network was not working ,information could be sent through another part.In this way the computer network system would keep on working all the time.At first,the Internet was only used by the government ,but,in the early 1970s, universities,hospitals and banks were allowed to use it too. However, computers were still expensive and the Internet was difficult to use.By the start of the 1990s,computers become cheaper and easier to use.Scientists had also developed software that made "surfing " the Internet more convenient . Today it is easy to get on-line and it is said that millions of people use the Internet every day. Sending e-mail is more and more popular among students. The Internet has now become one of the most important parts of people' s life. The Internet has a history of _ years.
A. about 40
B. less than 30
C. more than 55
D. nearly 45 | C. more than 55 | high_school_computer_science | computer_science |
||
math_1462 | math_mc | The sequence $(a_n)$ satisfies
\[a_1 + a_2 + a_3 + \dots + a_n = n^2 a_n\]for all $n \ge 2.$ If $a_{63} = 1,$ find $a_1.$ | C | math_Intermediate Algebra | mathematics |
||
pythonio_637 | pythonio-mc | Program:
def sum_Odd(n):
terms = (n + 1)//2
sum1 = terms * terms
return sum1
def sum_in_Range(l,r):
return sum_Odd(r) - sum_Odd(l - 1)
Input:
sum_in_Range(2,5)
Output: | D | code | computer_science |
||
math_534 | math_mc | A cube is painted so that one side is blue, two sides are red, and three sides are green. How many different such cubes can be painted? Two cubes are considered the same if one cube can be rotated in any way to match the second cube. | D | math_Counting & Probability | mathematics |
||
allenai/sciq_922 | allenai/sciq | What is the measurement for the amount of water vapor in the air?
A. ambient
B. humidity
C. haze
D. saturation | B. humidity | A: Humidity is a measure of the amount of water vapor in the air. When humidity is high, sweat evaporates more slowly because there is already a lot of water vapor in the air. The slower evaporation rate reduces the potential for evaporative cooling. | high_school_physics | physics |
|
aquarat_83321 | deepmind/aqua_rat | In how many seconds will a train 100 meters long pass an oak tree, if the speed of the train is 36 km/hr? | A. 6 B. 8 C. 10 D. 12 E. 14 | C. 10 | speed = 36 * 5/18 = 10 m/s
time = 100/10 = 10 seconds
The answer is C. | high_school_physics | physics |
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