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math_223
math_mc
A certain organization consists of five leaders and some number of regular members. Every year, the current leaders are kicked out of the organization. Next, each regular member must find two new people to join as regular members. Finally, five new people are elected from outside the organization to become leaders. In ...
A
math_Algebra
mathematics
math_1991
math_mc
On a "prime date," both the month and the day are prime numbers. For example, Feb. 7 or 2/7 is a prime date. How many prime dates occurred in 2007?
B
math_Prealgebra
mathematics
allenai/sciq_10354
allenai/sciq
When two skateboarders push against each other what happens? A. they stick together B. they rise C. they magnetize D. they move apart
D. they move apart
Look at the skateboarders in Figure below . When they push against each other, it causes them to move apart. The harder they push together, the farther apart they move. This is an example of Newton’s third law of motion.
conceptual_physics
physics
math_1189
math_mc
The ellipse $x^2+4y^2=4$ and the hyperbola $x^2-m(y+2)^2 = 1$ are tangent. Compute $m.$
B
math_Intermediate Algebra
mathematics
math_1697
math_mc
The product $N$ of three positive integers is $6$ times their sum, and one of the integers is the sum of the other two. Find the sum of all possible values of $N$.
D
math_Number Theory
mathematics
pythonio_515
pythonio-mc
Program: def sum_Of_Subarray_Prod(arr,n): ans = 0 res = 0 i = n - 1 while (i >= 0): incr = arr[i]*(1 + res) ans += incr res = incr i -= 1 return (ans) Input: sum_Of_Subarray_Prod([1,2],2) Output:
A
code
computer_science
mmlu_aux_train_80373
mmlu_aux_train
Recently, Chinese netizens enjoy themselves on "growing and stealing crops" on the Internet. This is a game called "Happy Farms". Now more and more people are joining in the game, and getting addicted. Some of them are even found playing the game at work. Because of this, some players have been fired by their bosses....
A. a popular online game
high_school_computer_science
computer_science
allenai/sciq_2760
allenai/sciq
What can be used to mechanically separate the two elements by attracting the iron filings out of the mixture and leaving the sulfur behind? A. laser B. magnet C. graduated cylinder D. centrifuge
B. magnet
When iron filings and sulfur powder are mixed together in any ratio, they form a mixture. No chemical reaction occurs, and both elements retain their individual properties. A magnet can be used to mechanically separate the two elements by attracting the iron filings out of the mixture and leaving the sulfur behind.
high_school_chemistry
chemistry
mmlu_aux_train_2578
mmlu_aux_train
Which change resulted from the heating of the planets as they formed? A. Their masses increased. B. They lost most of their radioactive isotopes. C. Their structures differentiated into distinct layers. D. They started to revolve around the Sun.
C. Their structures differentiated into distinct layers.
astronomy
physics
allenai/sciq_2647
allenai/sciq
What state of matter has a definite volume, but takes the shape of the container? A. gas B. solid C. plasma D. liquid
D. liquid
Liquids have a definite volume, but take the shape of the container.
high_school_chemistry
chemistry
pythonio_375
pythonio-mc
Program: def average_Even(n) : if (n% 2!= 0) : return ("Invalid Input") return -1 sm = 0 count = 0 while (n>= 2) : count = count+1 sm = sm+n n = n-2 return sm // count Input: average_Even(4) Output:
A
code
computer_science
allenai/sciq_5257
allenai/sciq
The duodenum is the first and the shortest part of what, and is where most chemical digestion takes place? A. small intestine B. large intestine C. stomach D. rectum
A. small intestine
The duodenum is the first part of the small intestine. It is also the shortest part. This is where most chemical digestion takes place. Many enzymes and other substances involved in digestion are secreted into the duodenum.
high_school_biology
biology
aquarat_2407
deepmind/aqua_rat
If half of 5 were 3, that would one-third of 10 be
A. 2 B. 4 C. 6 D. 8 E. 1
B. 4
Explanation: Half of 5 is 2.5. But given as 3. So take 1/2 of 5x = 3 ⇒ x = 6/5 Now 1/3 (10x) = 1/3 × 10 × 6/5 = 4. Answer: B
formal_logic
mathematics
mmlu_aux_train_16665
mmlu_aux_train
When an ant dies, other ants take it out of the nest, often within an hour after its death. This behavior interests scientists and they wonder how ants know for sure--and so soon--that another ant is dead. One scientist recently came up with a way to explain this ant behaviour. Dong-Hwan Choe is a biologist, a scientis...
B. When an ant dies, it can tell others using a certain chemical.
high_school_biology
biology
math_1135
math_mc
Let $f(x)$ be a polynomial with real, nonnegative coefficients. If $f(6) = 24$ and $f(24) = 1536,$ find the largest possible value of $f(12).$
D
math_Intermediate Algebra
mathematics
allenai/sciq_681
allenai/sciq
What regulates homeostasis and basic survival behaviors? A. cell membrane B. hypothalamus C. mitosis D. hippocampus
B. hypothalamus
college_biology
biology
allenai/sciq_6400
allenai/sciq
What allows giraffes to reach leaves that other ground animals cannot? A. camouflage pattern B. long tongue C. long horns D. long necks
D. long necks
African Giraffes. Giraffes feed on leaves high in trees. Their long necks allow them to reach leaves that other ground animals cannot.
high_school_biology
biology
math_776
math_mc
A right circular cone has base radius $r$ and height $h$. The cone lies on its side on a flat table. As the cone rolls on the surface of the table without slipping, the point where the cone's base meets the table traces a circular arc centered at the point where the vertex touches the table. The cone first returns to i...
C
math_Geometry
mathematics
aquarat_8746
deepmind/aqua_rat
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 70% chance of rain each of the next two evenings, what is the probability t...
A. 36% B. 51% C. 66% D. 80% E. 84%
B. 51%
Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.7*0.7 = 0.49. So, the probability that he will be able to attend is 1 - 0.49 = 0.51. Answer: B.
high_school_statistics
mathematics
aquarat_6833
deepmind/aqua_rat
Ten circular coins are thrown on the street so that no two of them overlap or touch, and no three of them have a tangent line in common. What is the total number of lines which are tangent to two of the coins?
A. 60 B. 100 C. 180 D. 240 E. 360
C. 180
There are n(n-1)=2 different ways of choosing 2 objects from a given collection of n objects. Thus, there are 10*9/2 = 45 different ways of choosing 2 of the 10 coins. For each selection of two coins, one can form 4 tangent lines as shown at the right. Therefore, the answer is 4*45 = 180. correct answer C
college_mathematics
mathematics
NLP4Education_418
NLP4Education
Tick the \textit{incorrect} assertion. A. Plain CBCMAC resists forgery attacks. B. GCM is a blockcipher mode of operation that provides both confidentiality and authenticity for messages. C. A message authentication scheme that resists a chosen message forgery attack will also resist a known message forgery attack. D. ...
A. Plain CBCMAC resists forgery attacks.
computer_security
computer_science
math_821
math_mc
One of the five faces of the triangular prism shown here will be used as the base of a new pyramid. The numbers of exterior faces, vertices and edges of the resulting shape (the fusion of the prism and pyramid) are added. What is the maximum value of this sum? [asy] draw((0,0)--(9,12)--(25,0)--cycle); draw((9,12)--(12...
C
math_Geometry
mathematics
allenai/sciq_9990
allenai/sciq
Cold fronts in winter may bring what type of storm? A. typhoon B. monsoon C. showers D. snow storm
D. snow storm
As the fast-moving cold air mass keeps advancing, so does the cold front. Cold fronts often bring sudden changes in the weather. There may be a thin line of storms right at the front that moves as it moves. In the spring and summer, these storms may be thunderstorms and tornadoes. In the late fall and winter, snow stor...
conceptual_physics
physics
pythonio_178
pythonio-mc
Program: def find_dissimilar(test_tup1, test_tup2): res = tuple(set(test_tup1) ^ set(test_tup2)) return (res) Input: find_dissimilar((3, 4, 5, 6), (5, 7, 4, 10)) Output:
C
code
computer_science
mmlu_aux_train_95914
mmlu_aux_train
An example of how melting is achieved is seen in A. cooking stew in a crockpot B. using an oven to heat a pizza C. using a stove to warm frozen vegetables D. using a hairdryer to turn ice to water
D. using a hairdryer to turn ice to water
high_school_physics
physics
allenai/sciq_5017
allenai/sciq
Materials made from non-living substances like pebbles and sand are called what? A. microscopic B. fibrous C. inorganic D. organic
C. inorganic
Some of them are inorganic . Inorganic materials are made from non-living substances like pebbles and sand.
high_school_chemistry
chemistry
math_721
math_mc
A circle centered at $A$ with a radius of $1$ and a circle centered at $B$ with a radius of $4$ are externally tangent. A third circle is tangent to the first two and to one of their common external tangents as shown. What is the radius of the third circle? [asy] draw((-3,0)--(7.5,0)); draw(Circle((-1,1),1),linewidth(0...
C
math_Geometry
mathematics
aquarat_19528
deepmind/aqua_rat
For which of the following does f(m)−f(n)=f(m−n) for all values of m and n?
A. f(y)=y^2 B. f(y)=y/2 C. f(y)=y+5 D. f(y)=2y−1 E. f(y)=|y|
B. f(y)=y/2
To solve this easiest way is just put the value and see that if it equals or not. with option 1. f(m) = m^2 and f(n) = n^2 so L.H.S = m^2 - n^2 and R.H.S = (m-n)^2 ==> m^2 + n^2 -2mn. so L.H.S not equal to R.H.S with option 2. f(m) = m/2 and f(n) =n/2 L.H.S = m/2 - n/2 ==> 1/2(m-n) R.H.S = (m-n)/2 so L.H.S = R.H.S whic...
college_mathematics
mathematics
mmlu_aux_train_56623
mmlu_aux_train
Electrical devices could soon use power make by human energy, Scientists say they have developed an experimental device that produces electricity from the physical movement of a person walking , British scientist Max Donelan and other scientists in Canada and the United States developed the device. The device connects ...
C. It is too expensive for most people to afford
electrical_engineering
engineering
aquarat_74034
deepmind/aqua_rat
Alice the number theorist knows the rule for testing if a number n is divisible by 3: n is divisible by 3 if and only if the sum of the digits of n is divisible by 3. When Alice visits Mars, she finds that the Martians have six hands, and six fingers on each hand, so that they count in base 36. In base 36, Alice’s divi...
A. 4 B. 7 C. 10 D. 11 E. 15
B. 7
First of all, why does the rule work in base 10 for 3? It works because 10-1 = 3*3, 100 -1 = 3 *33, 1000 - 1 = 3 * 333, etc. As a result, the expressions a0 + a1 *10 + a2 /102 + a3 /103 + ... + ak *10k and a0 + a1 + a2 + a3 + ...+ ak differ by a multiple of 3. The key point is that 3 |(10 - 1). It is quite easy to see ...
abstract_algebra
mathematics
mmlu_aux_train_51214
mmlu_aux_train
Researchers recently found that hackers took control of 300,000 home routers . Once your home router has been controlled, hackers could redirect your network to malicious websites controlled by hi-tech thieves who could then steal your online back details and other sensitive data. However, there are some simple steps y...
C. your home router will be changed for new settings.
computer_security
computer_science
pythonio_253
pythonio-mc
Program: def merge(lst): return [list(ele) for ele in list(zip(*lst))] Input: merge([[1, 2], [3, 4], [5, 6], [7, 8]]) Output:
D
code
computer_science
mmlu_aux_train_28585
mmlu_aux_train
What exactly is a lie ?Is it anything we say which we know is untrue ?Or is it something more than that ?For example, suppose a friend wants to borrow some money from you. You say "I wish I could help you, but I am short of money myself." In fact , you are not short of money but your friend is in the habit of not payin...
C. told in order not to hurt someone's feelings
formal_logic
mathematics
math_799
math_mc
A ball was floating in a lake when the lake froze. The ball was removed (without breaking the ice), leaving a hole $24$ cm across as the top and $8$ cm deep. What was the radius of the ball (in centimeters)? $\textbf{(A)}\ 8 \qquad \textbf{(B)}\ 12 \qquad \textbf{(C)}\ 13 \qquad \textbf{(D)}\ 8\sqrt{3} \qquad \textbf{(...
B
math_Geometry
mathematics
aquarat_50721
deepmind/aqua_rat
A software has coding line 5% more than B, B software has coding line 4/12 more than C. C software has 90 lines of coding. find A lines.
A. 106 B. 107 C. 108 D. 126 E. 110
D. 126
C s/w has 90 line of code B s/w has = 90+90*4/12= 120 line of code A s/w 5% more B' code 120+6=126 ANSWER:D
coding
computer_science
mmlu_aux_train_1433
mmlu_aux_train
When Chemical X is added to a certain liquid, the chemical breaks into Substances Y and Z. It is not possible to break Substances Y and Z into simpler particles. Which statement is best supported by this evidence? A. Chemical X is an element. B. Chemical X is soluble in water. C. Substances Y and Z are elements. D. Su...
C. Substances Y and Z are elements.
high_school_chemistry
chemistry
mmlu_aux_train_42504
mmlu_aux_train
Since 2008, hunters have illegally killed more than 3000 rhinos in South Africa. The International Union for Conservation of Nature warns that rhinos may die out by 2026. People who hunt and kill illegally are called poachers. The most effective way to watch for and prevent illegal hunting is from the air. However, pil...
C. It can offer detailed information.
high_school_computer_science
computer_science
pythonio_41
pythonio-mc
Program: def lbs(arr): n = len(arr) lis = [1 for i in range(n+1)] for i in range(1 , n): for j in range(0 , i): if ((arr[i] > arr[j]) and (lis[i] < lis[j] +1)): lis[i] = lis[j] + 1 lds = [1 for i in range(n+1)] for i in reversed(range(n-1)): for j in reversed(range(i-1 ,n)): if(arr...
D
code
computer_science
allenai/sciq_1772
allenai/sciq
What is a process where some substances called reactants change chemically into different substances called products? A. crystals reaction B. non-chemical reaction C. carbon reaction D. chemical reaction
D. chemical reaction
The student athlete in Figure below is practically flying down the track! Running takes a lot of energy. But you don’t have to run a race to use energy. All living things need energy all the time just to stay alive. The energy is produced in chemical reactions. A chemical reaction is a process in which some substances,...
high_school_chemistry
chemistry
NLP4Education_268
NLP4Education
When searching for an entity 𝑬′′𝑬𝑬𝑬𝑬 that has a given relationship 𝑹 with a given entity 𝑬, which of the following best describes the process? A. We search for 𝑬′′𝑬𝑬𝑬𝑬 that have a similar embedding vector to 𝑬. B. We search for 𝑬′′𝑬𝑬𝑬𝑬 that have a similar embedding vector to 𝑬′𝑬𝑬𝑬, which has relat...
C. We search for pairs (𝑬′′𝑬𝑬𝑬𝑬, 𝑬) that have similar embedding to (𝑬′𝑬𝑬𝑬, 𝑬).
machine_learning
computer_science
allenai/sciq_10010
allenai/sciq
What kind of bonding between alcohol molecules means that more energy is required to convert the liquid to vapor, and boiling points are therefore high? A. weaker carbon bonding B. stronger hydrogen bonding C. stronger mineral bonding D. stronger diffusion bonding
B. stronger hydrogen bonding
Only weak London dispersion forces hold molecules of nonpolar alkanes together in the liquid phase. Consequently, less energy is required to break these molecules away from the surface of the liquid and turn them into a vapor. The stronger hydrogen bonding between alcohol molecules means that more energy is required to...
high_school_chemistry
chemistry
NLP4Education_672
NLP4Education
Tick the \textbf{true} assertion. Assume an arbitrary $f:\{0,1\}^p \rightarrow \{0,1\}^q$, where $p$ and $q$ are integers. A. $\mathsf{DP}^f(a,b)=\displaystyle\Pr_{X\in_U\{0,1\}^p}[f(X\oplus a)\oplus f(X)\oplus b=1]$, for all $a \in \{0,1\}^p$, $b \in \{0,1\}^q$. B. $\Pr[f(x\oplus a)\oplus f(x)\oplus b=0]=E(\mathsf{DP}...
D. $\displaystyle\sum_{b\in\{0,1\}^q} \mathsf{DP}^f(a,b)=1$, for all $a \in \{0,1\}^p$.
computer_security
computer_science
pythonio_328
pythonio-mc
Program: def remove_similar_row(test_list): res = set(sorted([tuple(sorted(set(sub))) for sub in test_list])) return (res) Input: remove_similar_row([[(6, 7), (5, 4)], [(4, 4), (6, 8)], [(5, 4), (6, 7)]] ) Output:
B
code
computer_science
aquarat_93949
deepmind/aqua_rat
Aqua regia is a mixture containing 50 per cent concentrated HCL and 70 per cent concentrated HNo3 in the ratio 1 : 3 respectively. Aqua regia is to be formed with 15 l of HCl of 80 percent concentration and 56 l of HNO3 of 90 per cent concentration by adding water as a diluting agent. Another mixture ’X’ having 40 perc...
A. 3 : 8 B. 4 : 7 C. 1 : 3 D. 2 : 5 E. 5 : 2
C. 1 : 3
80 % concentrated HCL is to be diluted to form a 50% concentrated HCL solution. The quantity of water to be added to the l5 l solution is i.e 5:3 Thus, (3/5) X 15 = 9 9 litres of water is added to HCL solution Similarly 16 l of water is added to 90% concentrated solution of HNO3 to dilute it to 70% concentration. The t...
college_chemistry
chemistry
NLP4Education_191
NLP4Education
You are using a 3-layer fully-connected neural net with ReLU activations. Your input data has components in [0, 1]. You initialize all your weights to -10, and set all the bias terms to 0. You start optimizing using SGD. What will likely happen? A. The gradient is 0 so nothing happens B. The gradient is very large so t...
A. The gradient is 0 so nothing happens
machine_learning
computer_science
mmlu_aux_train_43935
mmlu_aux_train
Imagine a classroom missing the one thing that's long been considered a necessary part to reading and writing---paper. No notebooks, no textbooks, no test papers. Nor are there any pencils or pens, which always seems to _ . A "paperless classroom" is what more and more schools are trying to achieve . Students don't do ...
D. the Web , better than the textbooks ,can give the latest and comprehensive information.
high_school_computer_science
computer_science
allenai/sciq_6656
allenai/sciq
Earth spinning as air moves over its surface causes what? A. axial tilt B. coriolis effect C. centrifugal effect D. seasons
B. coriolis effect
Earth is spinning as air moves over its surface. This causes the Coriolis effect. Winds blow on a diagonal over the surface due to Coriolis effect. From which direction do the northern trade winds blow?.
conceptual_physics
physics
pythonio_799
pythonio-mc
Program: def sum_num(numbers): total = 0 for x in numbers: total += x return total/len(numbers) Input: sum_num((19,15,18)) Output:
A
code
computer_science
math_300
math_mc
A right triangle with integer leg lengths is called "cool'' if the number of square units in its area is equal to twice the number of units in the sum of the lengths of its legs. What is the sum of all the different possible areas of cool right triangles?
D
math_Algebra
mathematics
mmlu_aux_train_94005
mmlu_aux_train
Students conducted an investigation with green bananas. They hypothesized that an onion placed near a banana could increase the rate at which the banana ripened. They placed one onion and one banana in each of three containers. In a fourth container they placed a banana, but no onion. Which statement best explains why ...
B. The container without the onion is the control.
high_school_biology
biology
math_491
math_mc
Define an ordered quadruple of integers $(a, b, c, d)$ as interesting if $1 \le a<b<c<d \le 10$, and $a+d>b+c$. How many interesting ordered quadruples are there?
B
math_Counting & Probability
mathematics
math_1837
math_mc
Find the sum of the first seven prime numbers that have a units digit of 7.
A
math_Prealgebra
mathematics
aquarat_15995
deepmind/aqua_rat
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that,...
A. 4 B. 9 C. 6 D. 10 E. 12
C. 6
To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and added top and bottom, hence 4+2 = 6. C
college_mathematics
mathematics
mmlu_aux_train_7923
mmlu_aux_train
Stockholm's street magazine sellers no longer only take cash -- they now take cards too. "More and more sellers were telling us that people wanted our magazine but weren't carrying cash," says Pia Stolt, the magazine's publisher. "So with the help of a local computer company, we came up with a way to accept payment ele...
C. transport workers to protect their safety
college_computer_science
computer_science
mmlu_aux_train_51470
mmlu_aux_train
Decision-thinking is not unlike poker --it often matters not only what you think, but also what others think you think and what you think they think you think.The mental process is similar.Naturally,this card game has often been of considerable interest to people who are,by any standards,good thinkers. The great mathem...
A. the process of reaching decisions
formal_logic
mathematics
pythonio_118
pythonio-mc
Program: def difference(n) : S = (n*(n + 1))//2; res = S*(S-1); return res; Input: difference(5) Output:
D
code
computer_science
math_1429
math_mc
Find the largest positive integer $n$ such that \[\sin^n x + \cos^n x \ge \frac{1}{n}\]for all real numbers $x.$
C
math_Intermediate Algebra
mathematics
allenai/sciq_9382
allenai/sciq
When a liquid is heated, molecules with enough kinetic energy escape the liquid and become what? A. atoms B. vapor C. solid D. invisible
B. vapor
Kinetic energy distribution curves for a liquid at two temperatures T 1 and T 2 . The shaded area is the molecules with enough kinetic energy to escape the liquid and become vapor.
high_school_chemistry
chemistry
NLP4Education_240
NLP4Education
You are given samples ... You will always find the optimal weights with 0 training error in case of $N \leq D$. A. True only if the feature vectors are linearly independent B. True for any choice of samples and features C. False D. Only if the labels are all zero
C. False
machine_learning
computer_science
allenai/sciq_1230
allenai/sciq
What will happen if the gas particles inside an inflated balloon suddenly stop moving? A. balloon bursts B. balloon falls C. balloon deflates D. balloon inflates
C. balloon deflates
Gas molecules also exert pressure. Earth’s atmosphere exerts pressure because gravity acts on the huge number of gas particles contained in the atmosphere, holding it in place. Pressure is also exerted by a small sample of gas, such as that which is contained in a balloon. Gas pressure is the pressure that results from...
conceptual_physics
physics
allenai/sciq_125
allenai/sciq
Red litmus paper turns what color when placed in a basic solution? A. orange B. blue C. pink D. white
B. blue
Red litmus paper turns blue when placed in a basic solution.
high_school_chemistry
chemistry
allenai/sciq_7926
allenai/sciq
What phase exists when all the water in a container has physical properties intermediate between those of the gaseous and liquid states? A. impregnation fluid B. stationary fluid C. supercritical fluid D. hydrothermal fluid
C. supercritical fluid
Supercritical Fluids If we place a sample of water in a sealed container at 25 °C, remove the air, and let the vaporization-condensation equilibrium establish itself, we are left with a mixture of liquid water and water vapor at a pressure of 0.03 atm. A distinct boundary between the more dense liquid and the less dens...
college_chemistry
chemistry
mmlu_aux_train_69364
mmlu_aux_train
Scientists have made the world's first human-sheep----with the body of a sheep and half-human organs . Amazing, but true. The sheep is15percent human and 85 percent sheep. The breakthrough makes it possible to use animal organs in human bodies in the future. Professor Esmail Zanjani of University of Nevada, US, has spe...
A. a sheep
college_biology
biology
math_1577
math_mc
Let $S$ be the sum of all positive integers $n$ such that $n^2+12n-2007$ is a perfect square. Find the remainder when $S$ is divided by $1000.$
D
math_Number Theory
mathematics
math_773
math_mc
[asy] fill(circle((4,0),4),grey); fill((0,0)--(8,0)--(8,-4)--(0,-4)--cycle,white); fill(circle((7,0),1),white); fill(circle((3,0),3),white); draw((0,0)--(8,0),black+linewidth(1)); draw((6,0)--(6,sqrt(12)),black+linewidth(1)); MP("A", (0,0), W); MP("B", (8,0), E); MP("C", (6,0), S); MP("D",(6,sqrt(12)), N); [/asy] In ...
C
math_Geometry
mathematics
math_479
math_mc
At a certain university, the division of mathematical sciences consists of the departments of mathematics, statistics, and computer science. There are two male and two female professors in each department. A committee of six professors is to contain three men and three women and must also contain two professors from ea...
A
math_Counting & Probability
mathematics
math_1855
math_mc
What is the measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm, in degrees? Express your answer as a decimal to the nearest tenth.
A
math_Prealgebra
mathematics
NLP4Education_445
NLP4Education
What is the average complexity of exhaustive search when the key is distributed uniformly at random over $N$ keys? A. $\log N$ B. $2^N$ C. $\frac{N+1}{2}$ D. $\sqrt{N}$
C. $\frac{N+1}{2}$
college_computer_science
computer_science
mmlu_aux_train_96112
mmlu_aux_train
Gravity effects water most when it is A. on a curved surface B. full of marine life C. flowing rapidly with waves D. in the ocean or lake
A. on a curved surface
conceptual_physics
physics
math_1143
math_mc
Let $(x_1,y_1),$ $(x_2,y_2),$ $\dots,$ $(x_n,y_n)$ be the solutions to \begin{align*} |x - 3| &= |y - 9|, \\ |x - 9| &= 2|y - 3|. \end{align*}Find $x_1 + y_1 + x_2 + y_2 + \dots + x_n + y_n.$
D
math_Intermediate Algebra
mathematics
mmlu_aux_train_21373
mmlu_aux_train
A report on a new software that enables eyes to do the typing appears in Wednesday's edition of the journal Nature. Replacing a keyboard or mouse, eye-scanning-cameras mounted on computers have become necessary tools for people without limbs or those affected with paralysis. The camera tracks the movement of the eye, a...
B. an eye-scanning camera on computer
computer_security
computer_science
mmlu_aux_train_73075
mmlu_aux_train
It has more than 845 million users worldwide. If it were a country, _ would have the third largest population in the world, behind China and India. This is Facebook, a popular website from the US. It is similar to Renren in China. Mark Zuckerber was born on May 14, 1984. As a little kid, he loved creating little fun co...
C. do online shopping
high_school_computer_science
computer_science
aquarat_7795
deepmind/aqua_rat
If f(x) = (x^2 - 1)/(x), what is f(1/x) in terms of f(x)?
A. -1*f(x) B. f(x) C. 1/f(x) D. -1/f(x) E. 2*f(x)
A. -1*f(x)
f(1/x) = ((1/x)2 - 1) / ((1/x)) = ((1/x^2) - 1) / (1/x) = ((1-x^2)/(x^2)) / (1/x = (1-x^2)/(x^2) = - ( (x^4) -1) / (x) = -1* f(x) Answer is A.
college_mathematics
mathematics
math_442
math_mc
How many positive three-digit integers less than 500 have at least two digits that are the same?
C
math_Counting & Probability
mathematics
mmlu_aux_train_81567
mmlu_aux_train
In China, many students spend their weekends studying at school or doing homework at home.What are the students doing on weekends in America? Kathy: We're washing people's cars. My friends and I are working together. The money we get is for our school basketball team . Tom: I'm watching an interesting movie with my fr...
C. Doing their homework or studying.
high_school_computer_science
computer_science
mmlu_aux_train_95222
mmlu_aux_train
When looking at an eclipse, an important thing to remember is A. to take a photograph B. to look through a window C. to use hands to shield eyes D. avert eyes at all costs
D. avert eyes at all costs
astronomy
physics
mmlu_aux_train_21061
mmlu_aux_train
Children are hooked on computers. Some spend up to six hours a day on their gadgets. They can be playing games live with others elsewhere in the world, updating their status on social media, texting friends or looking for the latest app to download to their tablets or smart phones. This worried Martin Strott, headmaste...
B. developing their social skills by having some online conversations.
high_school_computer_science
computer_science
mmlu_aux_train_2463
mmlu_aux_train
At what temperature is water most likely to be in vapor form? A. -10°C B. 20°C C. 90°C D. 120°C
D. 120°C
high_school_chemistry
chemistry
mmlu_aux_train_97264
mmlu_aux_train
Tom noticed it was getting gloomy outside at only two in the afternoon. Which of these might be the cause? A. the witch at the top of the hill has placed a spell on the town B. a warm front has moved overhead C. a funeral is about to start at the church across the street D. the earth is moving through a dark area of s...
B. a warm front has moved overhead
college_earth_science
earth_science
mmlu_aux_train_31233
mmlu_aux_train
Many drivers say the large digital billboards flashing ads every few seconds along Bay Area freeways are just too bright and too distracting. And they may be right. A Swedish study published in the journal Traffic Injury Prevention concludes that digital billboards hold the gazes of drivers longer than two seconds. Pre...
D. Digital billboards are used to convey messages.
high_school_statistics
mathematics
mmlu_aux_train_49027
mmlu_aux_train
When I opened my e-mail the other day,a pretty woman named Rachel appeared on my computer screen.She greeted me by name and started talking with great enthusiasm.Every now and then she stopped to smile at me or blow a kiss.She was reading to me an e-mail from my brother,and a lot of it was about his getting the phone c...
C. not a real person
computer_security
computer_science
math_1863
math_mc
What is the value of $x$ in the diagram? [asy] import olympiad; draw((0,0)--(sqrt(3),0)--(0,sqrt(3))--cycle); draw((0,0)--(-1,0)--(0,sqrt(3))--cycle); label("8",(-1/2,sqrt(3)/2),NW); label("$x$",(sqrt(3)/2,sqrt(3)/2),NE); draw("$45^{\circ}$",(1.5,0),NW); draw("$60^{\circ}$",(-0.9,0),NE); draw(rightanglemark((0...
A
math_Prealgebra
mathematics
allenai/sciq_4139
allenai/sciq
When what common element forms single bonds with other atoms, the shape is tetrahedral, and when its atoms form a double bond, the shape is planar? A. hydrogen B. carbon C. oxygen D. silicon
B. carbon
Figure 2.22 When carbon forms single bonds with other atoms, the shape is tetrahedral. When two carbon atoms form a double bond, the shape is planar, or flat. Single bonds, like those found in ethane, are able to rotate. Double bonds, like those found in ethene cannot rotate, so the atoms on either side are locked in p...
college_chemistry
chemistry
allenai/sciq_3192
allenai/sciq
The process of producing mature sperm is called what? A. spermatogenesis B. glycogenolysis C. spermatosis D. ketoacidosis
A. spermatogenesis
The process of producing mature sperm is called spermatogenesis . Sperm are produced in the seminiferous tubules of the testes and become mature in the epididymis . The entire process takes about 9 to 10 weeks. You can watch an animation of spermatogenesis at this link: http://wps. aw. com/bc_martini_eap_4/40/10469/268...
high_school_biology
biology
allenai/sciq_5770
allenai/sciq
The part of the shadow in which light is completely blocked is called what? A. umbra B. eclipse C. penumbra D. corona
A. umbra
The umbra is the part of the shadow in which light is completely blocked.
astronomy
physics
aquarat_86845
deepmind/aqua_rat
If 60! × 60!/60^n is an integer, what is the largest possible value of n?
A. 1 B. 7 C. 14 D. 28 E. 32
D. 28
60! × 60!/60^n is an integer. Or 60! × 60!/(6^2n*5^n) This means we need to find the power of 5 in the numerator. We can safely say that the number of powers of 5 will be lower than the number of powers of 4 in the numerator. Largest power of 5 in 60! = [60/5] + [60/25] = 14 Since there are 2 20!'s, power of 14 in the ...
college_mathematics
mathematics
math_1716
math_mc
Let $S_n$ be the sum of the reciprocals of the non-zero digits of the integers from $1$ to $10^n$ inclusive. Find the smallest positive integer $n$ for which $S_n$ is an integer.
C
math_Number Theory
mathematics
NLP4Education_621
NLP4Education
Tick the \textbf{true} assertion. In a zero-knowledge interactive proof for $L$, \ldots A. for any ppt verifier, there is a simulator which for any $x \in L$ produces a conversation indistinguishable from the original conversation. B. for any ppt verifier, for some $x \in L$, any simulated conversation is indistinguish...
A. for any ppt verifier, there is a simulator which for any $x \in L$ produces a conversation indistinguishable from the original conversation.
formal_logic
mathematics
aquarat_87148
deepmind/aqua_rat
Lucy deposited $62500 in an investment fund that provided 8 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
A. 0.5 B. 24 C. 93 D. 63 E. 6.1
C. 93
A = P + I = 62500 + 5100 = 67600 67600 = 62500(1 + 8/4*100)^(4t) (676/625) = (102/100)^(4t) t =7 7/9 yrs = 93 months Answer: C
college_mathematics
mathematics
aquarat_60950
deepmind/aqua_rat
Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 4 points in the pla...
A. 1 B. 2 C. 3 D. 4 E. 5
A. 1
maximum no of 1-sets will be the no of points itself...as in even a simple configuration we can separate one point from others to make it 1-set ANSWER:A
college_mathematics
mathematics
mmlu_aux_train_8430
mmlu_aux_train
Thousands of hungry birds left the countryside of Britain in the bitter winter to find food and warmth in urban gardens. The move included species such as the redwing and the fieldfare, almost unknown outside rural areas The hard situation of farmland birds has been revealed in the latest survey of bird populations fro...
A. Excited.
high_school_biology
biology
allenai/sciq_1562
allenai/sciq
Hurricanes and winter storms both develop from what, which often form when the jet stream dips south in the winter? A. waves B. typhoons C. tides D. cyclones
D. cyclones
Like hurricanes, winter storms develop from cyclones. But in the case of winter storms, the cyclones form at higher latitudes. In North America, cyclones often form when the jet stream dips south in the winter. This lets dry polar air pour south. At the same time, warm moist air from the Gulf of Mexico flows north. Whe...
astronomy
physics
math_983
math_mc
Trapezoid $ABCD$ has base $AB = 20$ units and base $CD = 30$ units. Diagonals $AC$ and $BD$ intersect at $X$. If the area of trapezoid $ABCD$ is $300$ square units, what is the area of triangle $BXC$?
C
math_Geometry
mathematics
pythonio_510
pythonio-mc
Program: import re def replace_specialchar(text): return (re.sub("[ ,.]", ":", text)) Input: replace_specialchar('ram reshma,ram rahim') Output:
C
code
computer_science
math_541
math_mc
Let $\star (x)$ be the sum of the digits of a positive integer $x$. $\mathcal{S}$ is the set of positive integers such that for all elements $n$ in $\mathcal{S}$, we have that $\star (n)=12$ and $0\le n< 10^{7}$. If $m$ is the number of elements in $\mathcal{S}$, compute $\star(m)$.
B
math_Counting & Probability
mathematics
allenai/sciq_5816
allenai/sciq
Any place at which two bones are joined is called a what? A. expression B. constriction C. modification D. articulation
D. articulation
An articulation is any place at which two bones are joined. The humerus is the largest and longest bone of the upper limb and the only bone of the arm. It articulates with the scapula at the shoulder and with the forearm at the elbow. The forearm extends from the elbow to the wrist and consists of two bones: the ulna a...
anatomy
biology
math_759
math_mc
How many non-congruent triangles with only integer side lengths have a perimeter of 15 units?
D
math_Geometry
mathematics
aquarat_6882
deepmind/aqua_rat
If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
A. -f(x) B. f(x) C. 2*f(x) D. 1/f(x) E. 2/f(x)
A. -f(x)
If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x) answer A
college_mathematics
mathematics
NLP4Education_436
NLP4Education
Tick the \textbf{false} statement regarding the DES round function. A. There is an expansion operation $E$ from 32 to 48 bits. B. A round key is XORed to an internal register. C. There are $8$ identical S-boxes (substitution boxes) of size $6 \times 4$. D. There is a permutation $P$ on 32-bits.
C. There are $8$ identical S-boxes (substitution boxes) of size $6 \times 4$.
computer_security
computer_science
allenai/sciq_6087
allenai/sciq
During the early paleozoic, the amount of carbon dioxide in the atmosphere compared to today was? A. none B. much greater C. the same D. much lower
B. much greater
During the early Paleozoic, the amount of carbon dioxide in the atmosphere was much greater than it is today. This may have begun to change later, as land plants became more common. As the roots of land plants began to infiltrate rock and soil began to form, carbon dioxide was drawn out of the atmosphere and became tra...
astronomy
physics