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values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
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math_1524 | math_mc | Cindy wishes to arrange her coins into $X$ piles, each consisting of the same number of coins, $Y$. Each pile will have more than one coin and no pile will have all the coins. If there are 13 possible values for $Y$ given all of the restrictions, what is the smallest number of coins she could have? | B | math_Number Theory | mathematics | ||
mmlu_aux_train_19568 | mmlu_aux_train | Online clothes shoppers will be told exactly what size is best. for them using new software which combines with their web camera or smart phone to form a"3D tape measure". Scientists from Surrey University and design experts from the London College of Fashion are developing a program which can take precise waist, hip... | A. a software | computer_security | computer_science | ||
math_1877 | math_mc | The area of a rectangle is 432 square centimeters. What would the new area be if the length of the rectangle was decreased by $10\%$ and the width of the rectangle was increased by $10\%$? Express your answer to the nearest whole number. | A | math_Prealgebra | mathematics | ||
math_1853 | math_mc | There are 8 sprinters in the Olympic 100-meter finals. Three of the sprinters are Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded if at most one American gets a medal? | D | math_Prealgebra | mathematics | ||
mmlu_aux_train_95543 | mmlu_aux_train | A person wants to conduct thermal energy through his house, so when deciding on construction materials, he chooses
A. bits of nickel
B. a wooden beam
C. a plastic shelf
D. a rubber mat | A. bits of nickel | high_school_physics | physics | ||
mmlu_aux_train_93866 | mmlu_aux_train | The relationship between an owl and a mouse is a
A. parasite-host relationship.
B. symbiotic relationship.
C. mutualistic relationship.
D. predator-prey relationship. | D. predator-prey relationship. | high_school_biology | biology | ||
mmlu_aux_train_94297 | mmlu_aux_train | Oil, coal, and natural gas are fossil fuels formed under what conditions?
A. low temperature and high pressure
B. high temperature and high pressure
C. low temperature and low pressure
D. high temperature and low pressure | B. high temperature and high pressure | college_earth_science | earth_science | ||
mmlu_aux_train_2188 | mmlu_aux_train | Sodium, Na, is in the same group as
A. Ne.
B. Mg.
C. Ca.
D. K. | D. K. | high_school_chemistry | chemistry | ||
mmlu_aux_train_6274 | mmlu_aux_train | Today just as technology changed the face of industry, farmers have undergone an "agricultural revolution". On the farm of today, machines provide all the power. One of the most important benefits will be the farm computer. A few forward-looking farmers are already using computers to help them run their farms more effi... | A. The first sentence of the first paragraph. | high_school_computer_science | computer_science | ||
aquarat_72994 | deepmind/aqua_rat | The class mean score on a test was 80, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received? | A. 30 B. 31 C. 50 D. 90 E. 89 | C. 50 | 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.
1SD from the mean ranges from 95 to 65, where 95 is within SD above the mean and 65 within 1SD below the mean
2SD=15 TWICE=30 from the the mean, which is 95 to 50, whe... | high_school_statistics | mathematics |
mmlu_aux_train_94479 | mmlu_aux_train | What would be the result of adding one proton to an atom?
A. one electron would be added
B. the atomic number would change
C. the total mass of the atom would decrease
D. the electrical charge would become neutral | B. the atomic number would change | college_chemistry | chemistry | ||
allenai/sciq_1838 | allenai/sciq | What is an animal that picks up pollen on its body and carries it to another flower called?
A. fungi
B. lizard
C. rodent
D. pollinator | D. pollinator | The showy petals of flowers evolved to help attract pollinators. Wind-blown pollen might land just anywhere and be wasted. A pollinator is an animal that picks up pollen on its body and carries it directly to another flower of the same species. This helps ensure that pollination occurs. Pollinators are usually small an... | high_school_biology | biology | |
aquarat_41065 | deepmind/aqua_rat | Given: b2 = ac and ax=by=cz.
Determine the value of y. | A. 2xz/(x+z) B. 8xz/(x+z) C. 3xz/(x+z) D. 7xz/(x+z) E. 5xz/(x+z) | A. 2xz/(x+z) | Explanation:
No explanation is available for this question!
ANSWER: A | college_mathematics | mathematics |
mmlu_aux_train_92545 | mmlu_aux_train | "Everything happens for the best." Whenever I faced disappointment, my mother would say this to me. After I graduated form college in 1932, I decided to find a job in radio as a sports announcer . I went to Chicago and knocked at the door of every station. But unluckily, I was refused every time. At one station, a kind... | C. Because he didn't have much experience. | high_school_computer_science | computer_science | ||
allenai/sciq_4118 | allenai/sciq | Hydrogen sulfide is a noxious and toxic gas produced from decaying organic matter that contains what?
A. helium
B. tin
C. sulfur
D. methane | C. sulfur | Hydrogen sulfide is a noxious and toxic gas produced from decaying organic matter that contains sulfur. A lethal concentration in rats corresponds to an inhaled dose of 715 molecules per million molecules of air. How many molecules does this correspond to per mole of air? How many moles of hydrogen sulfide does this co... | high_school_chemistry | chemistry | |
mmlu_aux_train_43324 | mmlu_aux_train | Computers have beaten human world champions at chess and, earlier this year, the board game Go. So far, though, they have struggled at the card table. So we challenged one AI to a game. Why is poker so difficult? Chess and Go are "information complete" games where all players can see all the relevant information. In p... | D. Because the computer can't know the other players' cards completely. | machine_learning | computer_science | ||
math_672 | math_mc | Seven teams play a soccer tournament in which each team plays every other team exactly once. No ties occur, each team has a $50\%$ chance of winning each game it plays, and the outcomes of the games are independent. In each game, the winner is awarded a point and the loser gets 0 points. The total points are accumilate... | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_22083 | mmlu_aux_train | Bad news travels fast--when you watch the evening news or read the morning papers, it seems that things that get the most coverage are all tragedies like wars, earthquakes, floods, fires and murders. This is the classic rule for mass media. "They want your eyeballs and don't care how you're feeling," Jonah Berger, a ps... | C. mass media want to attract the public's attention | high_school_statistics | mathematics | ||
allenai/sciq_8114 | allenai/sciq | What is the name of the life stage when a child becomes sexually mature?
A. puberty
B. adulthood
C. maturity
D. adolescence | A. puberty | Puberty is the stage of life when a child becomes sexually mature. Puberty lasts from about 12 to 18 years of age in boys and from about 10 to 16 years of age in girls. The age when puberty begins is different from one child to another. Children that begin puberty much earlier or later than their peers may feel self-co... | high_school_biology | biology | |
aquarat_10088 | deepmind/aqua_rat | 140 college students were asked in a survey if they preferred Windows or Mac brand computers. 80 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 50 of the students had no preference. How many of the stude... | A. 25 B. 10 C. 50 D. 60 E. 75 | B. 10 | 140 = 80(Mac) + x(Window) + 50(both) => x=10
ANSWER:B | high_school_statistics | mathematics |
mmlu_aux_train_29691 | mmlu_aux_train | When she graduates from Columbia University next year with a master's degree in Public health, Eric Wheeler is hoping to get a job in international reproductive health. The 26-year-old post-graduate has always wanted to work in public service. But public service doesn't pay much, and her two-year program at Columbia c... | D. $92,000 | college_mathematics | mathematics | ||
mmlu_aux_train_67599 | mmlu_aux_train | Miss. Green taught Physics in a London school. Last month she explained to one of her classes about sound, and she decided to test them to see how well she did in her work. She said to them, "Now, I have a sister in Washington. If I was calling her on the telephone, and at the same time you were 20 metres away, and li... | B. about sound | conceptual_physics | physics | ||
math_433 | math_mc | The number of increasing sequences of positive integers $a_1 \le a_2 \le a_3 \le \cdots \le a_{10} \le 2007$ such that $a_i-i$ is even for $1\le i \le 10$ can be expressed as ${m \choose n}$ for some positive integers $m > n$. Compute the remainder when $m$ is divided by 1000.
| A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_12501 | mmlu_aux_train | Never give out identifying information such as Name, Home Address, School name, or Telephone Number in a public message such as at a chat room or on bulletin bards. Never send a person a picture of you without first checking with your parents or guardian. * Never respond to messages or bulletin board items that are: Su... | C. we can chat with unfamiliar people online | computer_security | computer_science | ||
mmlu_aux_train_56375 | mmlu_aux_train | Most children now chat daily either online or through their mobile phones. They are connecting to a huge number of other children all over the world. Some are shy "in real life" but are confident to communicate with others online; others find support from people of their own age on relationship issues, or problems at h... | B. parents | high_school_computer_science | computer_science | ||
mmlu_aux_train_85097 | mmlu_aux_train | One day, an old man went for a walk in a park in Washington, and when he was tired, he sat down in a chair. A young person was standing on the other side of the pool. "Oh!" the old man said to the person sitting be side him on the chair. "Do you see that person with the glasses and long hair? Is it a boy or a girl?" "A... | C. A young person | formal_logic | mathematics | ||
NLP4Education_754 | NLP4Education | In RSA, we set $p = 7, q = 11, e = 13$. The public key is $(m, e) = (77, 13)$. The ciphertext we receive is $c = 14$. What is the message that was sent? (Hint: You may solve faster using Chinese remainder theorem.).
A. $t = 42$
B. $t = 14$
C. $t = 63$
D. $t = 7$ | A. $t = 42$ | college_computer_science | computer_science | ||
allenai/sciq_10643 | allenai/sciq | What do monotremes have instead of a uterus and vagina?
A. endometrium
B. urethra
C. cloaca
D. pouch | C. cloaca | Monotremes have a cloaca instead of a uterus and vagina. The eggs pass through the opening of the cloaca. | high_school_biology | biology | |
mmlu_aux_train_97605 | mmlu_aux_train | An example of an electrical circuit running properly would be
A. dimming lights
B. swimming in pools
C. running outside
D. riding bikes | A. dimming lights | electrical_engineering | engineering | ||
allenai/sciq_535 | allenai/sciq | The gender of a baby is determined by what special pair of chromosomes?
A. sex chromosomes
B. reflection chromosomes
C. diploid chromosomes
D. sister chromatids | A. sex chromosomes | One of the exciting things about expecting a child is wondering if the baby will be a boy or a girl. There are many superstitions about how one might influence or predict the outcome. But what really determines if a baby is male or female? We now know that the gender of a baby is determined by a special pair of chromos... | high_school_biology | biology | |
mmlu_aux_train_95165 | mmlu_aux_train | Which would be a logical hypothesis after viewing a white substance on the floor, with a yellow carton on the counter?
A. milk was spilled
B. white juice spilled
C. bleach was spilled
D. was an illusion | A. milk was spilled | formal_logic | mathematics | ||
mmlu_aux_train_95673 | mmlu_aux_train | Being a nonrenewable resource means coal
A. is highly sought after as an alternate energy source
B. can be replaced and replenished with enough time
C. the industry one day will cease to exist
D. is flourishing with an unending supply | C. the industry one day will cease to exist | high_school_chemistry | chemistry | ||
aquarat_25122 | deepmind/aqua_rat | Find the number of ways in which 6 different beads can be arranged to form a necklace. | A. 30 B. 20 C. 50 D. 60 E. 80 | C. 50 | Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,6 beads can be arranged to form a necklace in(6-1)! /2ways
= 5*4*3*2/2 = 60 ways
Answer is C | college_mathematics | mathematics |
aquarat_53673 | deepmind/aqua_rat | A chemist mixes one liter of pure water with x liters of a 45% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x? | A. 1/4 B. 1/3 C. 1/2 D. 1 E. 3 | C. 1/2 | Concentration of salt in pure solution = 0
Concentration of salt in salt solution = 45%
Concentration of salt in the mixed solution = 15%
The pure solution and the salt solution is mixed in the ratio of --> (45 - 15)/(15 - 0) = 2/1
1/x = 2/1
x = 1/2
Answer: C | high_school_chemistry | chemistry |
mmlu_aux_train_96620 | mmlu_aux_train | If two electrical conductors contact eachother, what will flow through them both?
A. electrifying looks
B. lightning
C. water
D. wind | B. lightning | electrical_engineering | engineering | ||
math_1503 | math_mc | Let $f(x) = x^4 + ax^3 + bx^2 + cx + d$ be a polynomial whose roots are all negative integers. If $a + b + c + d = 2009,$ find $d.$ | C | math_Intermediate Algebra | mathematics | ||
allenai/sciq_4686 | allenai/sciq | What are the dark areas of the moon called?
A. hollow space
B. laura
C. craters
D. maria | D. maria | The Moon has dark areas, called maria, surrounded by lighter colored highland areas, called terrae. | astronomy | physics | |
mmlu_aux_train_19256 | mmlu_aux_train | A "match of the century" between human champion of the Chinese board game Go and Google's computer program kicked off in Seoul on Wednesday, which drew great attention. The first game of the five-game match started at about 1 p.m.local time (0400 GMT) at Four Seasons Hotel in central Seoul.It will run through next Tu... | B. Because it is seen as a representative match between humans and AI. | machine_learning | computer_science | ||
aquarat_75028 | deepmind/aqua_rat | In case T, S and X are the only individuals sewing on committee B, the members of committee C should be: | A. Z and Y B. Z and W C. Y and V D. Y and U E. Y and W | D. Y and U | Y and U Because in committee b the individuals are S and X so in committee c the individuals will be Y and U
ANSWER:D | formal_logic | mathematics |
allenai/sciq_11311 | allenai/sciq | Earthquakes mark the motions of colliding plates and the locations where plates plunge into what?
A. the mantle
B. the mesosphere
C. the core
D. the crust | A. the mantle | Convergent plate boundaries also produce strong, deadly earthquakes. Earthquakes mark the motions of colliding plates and the locations where plates plunge into the mantle. These earthquakes can be shallow, intermediate or deep focus. | earth_science | earth_science | |
NLP4Education_23 | NLP4Education | Once paging is enabled, load instruction / CR3 register / Page Table entry uses Virtual or Physical address?
A. Physical / Physical / Physical
B. Physical / Physical / Virtual
C. Virtual / Virtual / Virtual
D. Virtual / Physical / Physical | D. Virtual / Physical / Physical | computer_security | computer_science | ||
math_1639 | math_mc | What is the sum of all positive integers $n$ that satisfy $$\mathop{\text{lcm}}[n,100] = \gcd(n,100)+450~?$$ | C | math_Number Theory | mathematics | ||
math_86 | math_mc | If $w$, $x$, $y$, and $z$ are real numbers satisfying: \begin{align*}
w+x+y &= -2, \\
w+x+z &= 4, \\
w+y+z &= 19, \text{ and} \\
x+y+z &= 12,
\end{align*} what is $wx + yz$? | B | math_Algebra | mathematics | ||
allenai/sciq_87 | allenai/sciq | A unique characteristic of mammals is the ability to chew, this happens by the temporalis and the masseter allowing what?
A. side-to-side movement
B. Bakward and forward
C. Up and down
D. Grinding | A. side-to-side movement | The adductor muscle that closes the jaw is composed of two muscles in mammals: the temporalis and the masseter. These allow side-to-side movement of the jaw, making chewing possible, which is unique to mammals. Most mammals have heterodont teeth, meaning that they have different types and shapes of teeth rather than ju... | high_school_biology | biology | |
NLP4Education_205 | NLP4Education | The \textbf{parameters} (weights \textbf{W}) are learned with ...
A. training
B. validation
C. test
D. all the data together | A. training | machine_learning | computer_science | ||
allenai/sciq_3889 | allenai/sciq | What are proteins made up of?
A. detected acids
B. atoms acids
C. lewis acids
D. amino acids | D. amino acids | Proteins are formed when hundreds or even thousands of amino acids form amide bonds to make polymers. Proteins play a crucial role in living organisms. A carbohydrate is a compound that has the general formula Cn(H2O)n. Many carbohydrates are relatively small molecules, such as glucose:. | high_school_biology | biology | |
NLP4Education_81 | NLP4Education | Let the first four retrieved documents be N N R R, where N denotes a non-relevant and R a relevant document. Then the MAP (Mean Average Precision) is:
A. 1/2
B. 5/12
C. 3/4
D. 7/24 | B. 5/12 | machine_learning | computer_science | ||
math_394 | math_mc | A swimming pool can be filled by any of three hoses A, B or C. Hoses A and B together take 4 hours to fill the pool. Hoses A and C together take 5 hours to fill the pool. Hoses B and C together take 6 hours to fill the pool. How many hours does it take hoses A, B and C working together to fill the pool? Express your an... | A | math_Algebra | mathematics | ||
mmlu_aux_train_11221 | mmlu_aux_train | On the second day of the World Internet Conference themed with cybersecurity and international cooperation held in Wuzhen, an official with China's network emergency watchdog said that 6,118 domestic websites have been controlled by the United States, according to Shanghai Securities News. Among the hacked websites in ... | C. cybersecurity and international cooperation | computer_security | computer_science | ||
allenai/sciq_2261 | allenai/sciq | Carboxylic acids can form what with alcohols?
A. lipids
B. esters
C. ketones
D. aldehydes | B. esters | Carboxylic acids can form esters with alcohols. | high_school_chemistry | chemistry | |
mmlu_aux_train_90245 | mmlu_aux_train | I began to send e-mails when I was 17. I discovered Google 5 years later. Now, I use the internet all the time. The Internet has become so popular that 90 percent of 12-to-17-year-olds in the United States use the internet, and about half of these kids use it every day. They visit chat rooms and send e-mails. They go t... | D. 22 | high_school_computer_science | computer_science | ||
mmlu_aux_train_55813 | mmlu_aux_train | Computer technology has become a major part of people's lives. This technology has its own special words. One example is the word mouse. A computer mouse is not a small animal that lives in buildings and open fields. It is a small device that you move around on a flat surface in front of a computer. The mouse moves the... | C. Computer words. | high_school_computer_science | computer_science | ||
math_238 | math_mc | If $f(x)=f(2-x)$ for all $x$, then what line is necessarily an axis of symmetry of the graph of $y=f(x)$? (Give the simplest equation of this line.) | B | math_Algebra | mathematics | ||
mmlu_aux_train_62606 | mmlu_aux_train | Everyone who has eaten instant noodles before knows how it looks like. It is very easy to cook it instantly by putting the noodles into the boiling water and add in those MSG packets, together with your other ingredients like eggs or vegetables. However, have you ever wondered whether this is the correct way of cooki... | D. to tell us how to eat instant noodles safely and healthily. | high_school_biology | biology | ||
mmlu_aux_train_87686 | mmlu_aux_train | Every minute,someone is setting up an Internet company somewhere, in the worlD. Each one is searching for the one great idea that could make his web company click in a big way.And they are trying all kinds of tricks to attract people towards their websites.While some websites offer sounds,cartoons and amazing photos on... | D. attract people to their websites | high_school_computer_science | computer_science | ||
math_980 | math_mc | A sphere is inscribed in a cube with edge length 9 inches. Then a smaller cube is inscribed in the sphere. How many cubic inches are in the volume of the inscribed cube? Express your answer in simplest radical form. | D | math_Geometry | mathematics | ||
math_824 | math_mc | Given a point $P$ on a triangular piece of paper $ABC,\,$ consider the creases that are formed in the paper when $A, B,\,$ and $C\,$ are folded onto $P.\,$ Let us call $P$ a fold point of $\triangle ABC\,$ if these creases, which number three unless $P$ is one of the vertices, do not intersect. Suppose that $AB=36, AC=... | C | math_Geometry | mathematics | ||
allenai/sciq_1935 | allenai/sciq | The majority of solids are what in nature?
A. gases
B. crystalline
C. complex
D. liquids | B. crystalline | The majority of solids are crystalline in nature. A crystal is a substance in which the particles are arranged in an orderly, repeating, three-dimensional pattern. Particles of a solid crystal may be ions, atoms, or molecules, depending on the type of substance. The three-dimensional arrangement of a solid crystal is r... | high_school_chemistry | chemistry | |
allenai/sciq_3565 | allenai/sciq | What is the change in behavior based on experience?
A. applying
B. observing
C. learning
D. analyzing | C. learning | high_school_biology | biology | ||
aquarat_6522 | deepmind/aqua_rat | f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2) | A. 0 B. 1 C. 2 D. 3 E. 4 | C. 2 | f(x) + 3f(8 - x) =f(2) + 3f(6) = 2 : x = 2 above
f(6) + 3f(2) = 6 : x = 6 above
f(6) = 6 - 3f(2) : solve equation C for f(6)
f(2) + 3(6 - 3f(2)) = 2 : substitute
f(2) = 2 : solve above equation
correct answer C | college_mathematics | mathematics |
aquarat_21596 | deepmind/aqua_rat | Left shifting a number by 1 is always equivalent to multiplying it by 2. | A. True B. False C. neither True nor a false D. none of the above E. Cannot be determined | A. True | Explanation :
0001 => 1
0010 => 2
0100 => 4
1000 => 8
Answer : A | college_computer_science | computer_science |
mmlu_aux_train_86626 | mmlu_aux_train | National parks are large of areas of public land . They give a safe home for local plants and animal . They help keep the air and water clean . They also give us the best trips . Today ,there are nearly 7,000 national parks around the world . Forbes has listed 12 of the most beautiful ones in the world that will surpr... | C. Seven | high_school_biology | biology | ||
allenai/sciq_6174 | allenai/sciq | How does deeper material cause convection in the mantle?
A. folds
B. rises then sinks
C. remains stable
D. sinks then rises | B. rises then sinks | Not long after Wegener's death, scientists recognized that there is convection in the mantle. Deeper material is hotter and so it rises. Near the surface, it becomes cooler and denser so it sinks. This creates a convection cell in the mantle. | college_earth_science | earth_science | |
allenai/sciq_1911 | allenai/sciq | What is the name of the symbiotic relationship in which one species benefits while the other species is not affected?
A. commensalism
B. pollenation
C. differentiation
D. mutualism | A. commensalism | Commensalism is a symbiotic relationship in which one species benefits while the other species is not affected. One species typically uses the other for a purpose other than food. For example, mites attach themselves to larger flying insects to get a “free ride. ” Hermit crabs use the shells of dead snails for homes. | high_school_biology | biology | |
mmlu_aux_train_77212 | mmlu_aux_train | The Internet is becoming important in our life. How much do you know about it? The following questions and their answers will help you to know more about the Internet. What is the Internet? The Internet is a large, world-wide collection of computer networks . A network is a small group of computers put together. The... | C. lots of computer networks | high_school_computer_science | computer_science | ||
allenai/sciq_8554 | allenai/sciq | Earth’s magnetic north and south poles are not the same as what?
A. equatorial planes
B. geographic currents
C. geographic poles
D. geographic hemispheres | C. geographic poles | Earth has north and south magnetic poles like a bar magnet. Earth’s magnetic poles are not the same as the geographic poles. | earth_science | earth_science | |
allenai/sciq_2705 | allenai/sciq | What process converts the sun's hydrogen nuclei into helium?
A. nuclear fusion
B. combustion
C. nuclear fission
D. solar fission | A. nuclear fusion | Figure 32.19 Nuclear fusion in the Sun converts hydrogen nuclei into helium; fusion occurs primarily at the boundary of the helium core, where temperature is highest and sufficient hydrogen remains. Energy released diffuses slowly to the surface, with the exception of neutrinos, which escape immediately. Energy product... | astronomy | physics | |
allenai/sciq_5469 | allenai/sciq | What type of disorders are caused by mutations in genes or abnormal numbers of chromosomes?
A. emotional disorders
B. thyroid disorders
C. immune system disorders
D. genetic disorders | D. genetic disorders | Many genetic disorders are caused by mutations in one or a few genes. Other genetic disorders are caused by abnormal numbers of chromosomes. | medical_genetics | biology | |
math_1958 | math_mc | A merchant offers a large group of items at $30\%$ off. Later, the merchant takes $20\%$ off these sale prices and claims that the final price of these items is $50\%$ off the original price. As a percentage of the original price, what is the difference between the true discount and the merchant's claimed discount? (... | B | math_Prealgebra | mathematics | ||
NLP4Education_305 | NLP4Education | Which of the following probability distributions are members of the exponential family?
A. Cauchy distribution: \( p(y|y_0,\gamma) = \frac{1}{\pi \gamma \left[1 + \left(\frac{y-y_0}{\gamma}\right)^2\right]} \).
B. Uniform distribution over \([0,\eta], \eta>0\): \( p(y|\eta) = \frac{1}{\eta} \, 1_{y \in [0,\eta]} \).
C.... | C. Poisson distribution: \( p(y|\mu) = \frac{e^{-\mu} \mu^y}{y!} \). | machine_learning | computer_science | ||
aquarat_59806 | deepmind/aqua_rat | There is a 5% chance that Tigers will not win at all during the whole season. There is a 5% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season? | A. 55% B. 60% C. 70% D. 72% E. 95% | E. 95% | There is a 5% chance that Tigers will not win at all during the whole season
We can infer that there is 95% chance Tigers will win .
Similarly There is a 5% chance that Federer will not play at all in the whole season
We can also infer that there is 95% chance that Federer will play.
Answer E | high_school_statistics | mathematics |
allenai/sciq_8575 | allenai/sciq | What is the first step of the calvin cycle called?
A. carbon maturation
B. breath fixation
C. carbon fixation
D. dioxide fixation | C. carbon fixation | The Calvin cycle has three major steps: carbon fixation, reduction, and regeneration. All three steps take place in the stroma of a chloroplast. | college_biology | biology | |
math_2017 | math_mc | Two interior angles $A$ and $B$ of pentagon $ABCDE$ are $60^{\circ}$ and $85^{\circ}$. Two of the remaining angles, $C$ and $D$, are equal and the fifth angle $E$ is $15^{\circ}$ more than twice $C$. Find the measure of the largest angle. | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_7584 | mmlu_aux_train | Since the development of the Internet, men and women have frequented the information superhighway for the purposes of research and social networking. Recently, developments in fourth-generation networks and associated communication devices such as smart phones and smart tablets such as the BlackBerry PlayBook have allo... | C. have made a great breakthrough in networking technology | computer_security | computer_science | ||
pythonio_40 | pythonio-mc | Program:
def find_lcm(num1, num2):
if(num1>num2):
num = num1
den = num2
else:
num = num2
den = num1
rem = num % den
while (rem != 0):
num = den
den = rem
rem = num % den
gcd = den
lcm = int(int(num1 * num2)/int(gcd))
return lcm
def get_lcm(l):
num1 = l[0]
num2 = ... | C | code | computer_science | ||
NLP4Education_112 | NLP4Education | Suppose you have a search engine that retrieves the top 100 documents and achieves 90% precision and 20% recall. You modify the search engine to retrieve the top 200 and mysteriously, the precision stays the same. Which one is CORRECT?
A. The recall becomes 10%
B. The number of relevant documents is 450
C. The F-score ... | B. The number of relevant documents is 450 | computer_security | computer_science | ||
math_843 | math_mc | A rectangular box $P$ is inscribed in a sphere of radius $r$. The surface area of $P$ is 384, and the sum of the lengths of its 12 edges is 112. What is $r$? | D | math_Geometry | mathematics | ||
allenai/sciq_7820 | allenai/sciq | What is the generation of electricity using photovoltaic cells to split water molecules called?
A. photoelectrolysis
B. photovoltaic cells
C. hybrid electricity
D. aqua-electricity | A. photoelectrolysis | With fossil fuels becoming more expensive and less available, scientists are looking for other energy sources. Hydrogen has long been considered an ideal source, since it does not pollute when it burns. The problem has been finding ways to generate hydrogen economically. One new approach that is being studied is photoe... | college_chemistry | chemistry | |
allenai/sciq_9818 | allenai/sciq | What effect does changing temperature have on a system at equilibrium?
A. stress
B. movement
C. the height
D. energy | A. stress | Increasing or decreasing the temperature of a system at equilibrium is also a stress to the system. The equation for the Haber-Bosch process is written again below, as a thermochemical equation. | college_chemistry | chemistry | |
aquarat_54330 | deepmind/aqua_rat | x=2+2^(2/3)+2^(1/3), then what is the value of x^3-6x^2+6x? here X^Y indicates X to the power Y. | A. 2 B. 3 C. 4 D. 5 E. 6 | A. 2 | Given that x = 2 + 2^(2/3) + 2^(1/3)
so x - 2 = 2^(2/3) + 2^(1/3)
or (x-2)^3 = [2^(2/3)+2^(1/3)]^3
or x^3 - 8 - 6x(x-2) = 2^2 + 2^1 + 3*[2^{(2/3)+(1/3)}[2^(2/3)+2^(1/3)
or x^3 - 8 - 6x^2 + 12x = 4 + 2 + 6(x-2)
or x^3 - 8 -6x^2 + 12x = 6 + 6x - 12
or x^3 - 6x^2 +6x = 2
ANSWER:A | college_mathematics | mathematics |
aquarat_82041 | deepmind/aqua_rat | Two locomotives are moving in the same direction at 62 mps and 26 mps. The faster train crosses the slower train in 8 seconds. What is the length of the faster train in meters? | A. 247 m B. 316 m C. 194 m D. 270 m E. 288 m | E. 288 m | Relative speed = (62 - 26) = 36 mps.
Distance covered in 8 sec = 36 * 8 = 288 m.
The length of the faster train = 288 m.
Answer:E | conceptual_physics | physics |
aquarat_82266 | deepmind/aqua_rat | If x ≠ 0 and x^4 - (2- x^4)/x^4 = y/x^3, then y = | A. -x B. -x/2 C. -2/x D. -2 E. -2x | C. -2/x | x^4 - (2- x^4)/x^4 = y/x^3
-2/x^4 = y/x^3
y = -2/x
Answer : C | college_mathematics | mathematics |
allenai/sciq_7409 | allenai/sciq | Why does the body react to a loss of chloride ions?
A. decreased bicarbonate reabsorption
B. increased bicarbonate reabsorption
C. decreased tricarbonate reabsorption
D. increased tricarbonate reabsorption | B. increased bicarbonate reabsorption | Chloride ions are important in neutralizing positive ion charges in the body. If chloride is lost, the body uses bicarbonate ions in place of the lost chloride ions. Thus, lost chloride results in an increased reabsorption of bicarbonate by the renal system. | college_medicine | biology | |
allenai/sciq_8646 | allenai/sciq | Contributing to the blood-brain barrier is one of the jobs of glial cells, which support neurons in what system?
A. circulatory system
B. central nervous system
C. peripheral nervous system
D. digestive system | B. central nervous system | Glial Cells of the CNS One cell providing support to neurons of the CNS is the astrocyte, so named because it appears to be star-shaped under the microscope (astro- = “star”). Astrocytes have many processes extending from their main cell body (not axons or dendrites like neurons, just cell extensions). Those processes ... | college_biology | biology | |
allenai/sciq_10014 | allenai/sciq | Momentum is directly related to both mass and?
A. mass
B. speed
C. intensity
D. velocity | D. velocity | This equation shows that momentum is directly related to both mass and velocity. An object has greater momentum if it has greater mass, greater velocity, or both. For example, a bowling ball has greater momentum than a softball when both are moving at the same velocity because the bowling ball has greater mass. However... | conceptual_physics | physics | |
mmlu_aux_train_68615 | mmlu_aux_train | Mobile phone has become a problem for high schools. Some high-school students in Australia are not allowed to carry mobile phones during school hours. Mobile phone used among children has become a problem for the school. Several children have got mobile phones as Christmas presents, and more students will want them. Ma... | C. when they are at school | high_school_computer_science | computer_science | ||
aquarat_4300 | deepmind/aqua_rat | Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E) | A. 1/2 B. 1/7 C. 1/4 D. 1/3 E. 1/5 | C. 1/4 | Here, E and F are events
P(E|F) = P(EnF)/P(F) = 0.4/0.4 = 1
P(F|E) = P(EnF)/P(E) = 0.4/0.16 = 1/4.
C | high_school_statistics | mathematics |
aquarat_8909 | deepmind/aqua_rat | If f(x) = ax^3 + x^2 + ax – 2x, then f(b) – f(-b) will equal: | A. 2ab^3 - 2ab B. 2ab C. 2ab^3 + 2ab - 4b D. - 4b E. 2ab^3 | C. 2ab^3 + 2ab - 4b | f(x)=ax^3 + x^2 + ax – 2x
f(b) = ab^3 + b^2 + ab – 2b
f(-b) = - ab^3 + b^2 - ab + 2b
f(b) - f(-b) = ab^3 + b^2 + ab – 2b + ab^3 - b^2 + ab – 2b
=2ab^3 + 2ab - 4b
Answer C | college_mathematics | mathematics |
math_675 | math_mc | Each face of a cube is painted either red or blue, each with probability 1/2. The color of each face is determined independently. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color? | D | math_Counting & Probability | mathematics | ||
math_1978 | math_mc | Triangle $ABC$ has its vertices $A$, $B$, and $C$ on the sides of a rectangle 4 units by 5 units as shown. What is the area of triangle $ABC$ in square units?
[asy]
fill((0,1)--(4,0)--(2,5)--cycle,lightgray);
for(int i=1; i < 5; ++i){
for(int k=1; k < 4; ++k){
draw((0,i)--(4,i),dashed);
draw((k,0)--(k,5),dashed);
} ... | A | math_Prealgebra | mathematics | ||
math_804 | math_mc | Triangle $ABC$ has $BC=20.$ The incircle of the triangle evenly trisects the median $AD.$ If the area of the triangle is $m \sqrt{n}$ where $m$ and $n$ are integers and $n$ is not divisible by the square of a prime, find $m+n.$
| A | math_Geometry | mathematics | ||
aquarat_67094 | deepmind/aqua_rat | The probability of two events A and B are0.25 and 0.35 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________ | A. 0.55 B. 0.4 C. 0.5 D. 0.05 E. 0.6 | A. 0.55 | we are apply that formula..............
P(AorB)=P(A)+P(B)-P(A AND B)
=.25+.35-.15
=.45
but the probability of neither A nor B=1-.45
=0.55
ANSWER:A | high_school_statistics | mathematics |
math_1295 | math_mc | Find the number of distinct numbers in the list
\[\left\lfloor \frac{1^2}{1000} \right\rfloor, \ \left\lfloor \frac{2^2}{1000} \right\rfloor, \ \left\lfloor \frac{3^2}{1000} \right\rfloor, \ \dots, \ \left\lfloor \frac{1000^2}{1000} \right\rfloor.\] | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_35110 | mmlu_aux_train | The time of year a baby is born can shape what profession they will _ in later life, a new study has suggested. Being born in a certain month appears to indicate the possibility of what job a person will end up with, the study by the Office for National Statistics found. Researchers have uncovered that the month i... | B. a pilot | high_school_statistics | mathematics | ||
mmlu_aux_train_93323 | mmlu_aux_train | Which cells help to destroy pathogens such as bacteria that enter the human body?
A. red blood cells
B. liver cells
C. white blood cells
D. brain cells | C. white blood cells | high_school_biology | biology | ||
NLP4Education_702 | NLP4Education | Which of the following statements about libFuzzer is/are correct?
A. Unit tests may serve as foundation to create libFuzzer fuzzing stubs.
B. libFuzzer can only test single-threaded targets.
C. libFuzzer targets must always include exit() in the tested APIs.
D. It is not beneficial to split a target parsing several dat... | A. Unit tests may serve as foundation to create libFuzzer fuzzing stubs. | computer_security | computer_science | ||
NLP4Education_193 | NLP4Education | A model you trained seems to be overfitting. You decide to significantly increase the strength of the regularization. This will always improve the test error.
A. True in all cases
B. False; increasing regularization can sometimes worsen test error
C. Only true if you have enough data
D. Only true for linear models | B. False; increasing regularization can sometimes worsen test error | machine_learning | computer_science | ||
math_1904 | math_mc | A region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. What is the perimeter of this region? [asy]
path a=(10,0)..(5,5)--(5,-5)..cycle;
path b=(0,10)..(5,5)--(-5,5)..cycle;
path c=(-10,0)..(-5,5)--(-5,-5)..cycle;
path d=(0,-10)..(-5,-5)--(5,-5)..cycle;
path e... | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_38944 | mmlu_aux_train | Lots of people buy books and products from Amazon, an online seller. They offer and pay over the Internet and the books are shipped through the mail or a delivery service like FedEx. One day, people could get their Amazon deliveries from an "unmanned aerial vehicle"--a timely vehicle that looks like a toy helicopter. A... | C. To shorten the delivery period. | computer_security | computer_science | ||
allenai/sciq_5745 | allenai/sciq | What is necessary for growth and energy?
A. breeding
B. nutrients
C. determination
D. warmth | B. nutrients | high_school_biology | biology |
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