id stringlengths 6 20 | source stringclasses 6
values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
values | category stringclasses 7
values |
|---|---|---|---|---|---|---|---|
math_1561 | math_mc | Let $\tau (n)$ denote the number of positive integer divisors of $n$ (including $1$ and $n$). Find the sum of the six least positive integers $n$ that are solutions to $\tau (n) + \tau (n+1) = 7$.
| A | math_Number Theory | mathematics | ||
aquarat_58642 | deepmind/aqua_rat | In an encryption code 'PLAYS' is written as '{:SUD' when encoded and 'SLEEP' is written as 'D:RR{' when encoded. How is ''SLAPPY" written in that encryption code? | A. D:S{{U B. SLAPPY C. {RUDD: D. {:SUU{ E. U{{S:D | A. D:S{{U | D = S
: = L
S = A
P = {
P = {
Y = U
Correct Answer: A | coding | computer_science |
allenai/sciq_8971 | allenai/sciq | What is emitted by nuclei in alpha, beta, and gamma decay?
A. magnetic field
B. radiation
C. solar energy
D. convection | B. radiation | There are several types of radioactive decay, including alpha, beta, and gamma decay. In all three types, nuclei emit radiation, but the nature of the radiation differs. The Table below shows the radiation emitted in each type of decay. You can watch a video about the three types at this URL: http://www. youtube. com/w... | high_school_physics | physics | |
aquarat_6608 | deepmind/aqua_rat | Suppose a game is played between two players A and B. On each turn of the game, exactly
one of A or B gets a point. Suppose A is better than B and has a probability of 2/3 of getting
a point on each turn of the game. The first person to get two points ahead in the game is the
winner. What is the probability that A wins... | A. 5/9 B. 4/7 C. 2/3 D. 4/5 E. 8/9 | D. 4/5 | Let W0 be the event that Player A wins the game. The goal is to compute P(W0).
Let W1 be the event that Player A wins the game given that she is ahead by one point. Let
W-1 be the event Player A wins the game given that she is behind by one point. Then, the
probability that Player A wins the game is
P(W0) = P(A is ahea... | college_mathematics | mathematics |
allenai/sciq_1090 | allenai/sciq | Molecules with a carboxyl group are called what?
A. carboxylic acids
B. acetic acids
C. Fatty acids
D. catalyzed acids | A. carboxylic acids | Molecules with a carboxyl group are called carboxylic acids. As with aldehydes, the functional group in carboxylic acids is at the end of a carbon chain. Also as with aldehydes, the C atom in the functional group is counted as one of the C atoms that defines the parent hydrocarbon name. To name carboxylic acids, the pa... | college_chemistry | chemistry | |
math_2065 | math_mc | Compute $\sqrt{54}\cdot\sqrt{32}\cdot \sqrt{6}$. | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_27885 | mmlu_aux_train | The most common use of intelligence test scores is to predict degree of academic success. Such scores are used in some communities as bases for admitting able children to schools at ages younger than normal, and they are very generally used to determine admissions to schools beyond public secondary school. Another use ... | D. selecting pupils by public secondary schools | high_school_statistics | mathematics | ||
math_1394 | math_mc | For how many real numbers $a^{}_{}$ does the quadratic equation $x^2 + ax^{}_{} + 6a=0$ have only integer roots for $x^{}_{}$? | C | math_Intermediate Algebra | mathematics | ||
math_1025 | math_mc | A hexagon is inscribed in a circle. Five of the sides have length $81$ and the sixth, denoted by $\overline{AB}$, has length $31$. Find the sum of the lengths of the three diagonals that can be drawn from $A$.
| C | math_Geometry | mathematics | ||
pythonio_287 | pythonio-mc | Program:
def nth_nums(nums,n):
nth_nums = list(map(lambda x: x ** n, nums))
return nth_nums
Input:
nth_nums([12,15],5)
Output: | D | code | computer_science | ||
mmlu_aux_train_99226 | mmlu_aux_train | Iron sticks to
A. a ceramic throne
B. a fridge
C. a vitamin
D. a beanie baby | B. a fridge | high_school_physics | physics | ||
allenai/sciq_10933 | allenai/sciq | If an atom gains electrons, it becomes what?
A. neutral
B. an ion
C. a cation
D. anion | B. an ion | If an atom gains electrons, it becomes an ion. Is the ion positively or negatively charged? Explain your answer. | high_school_chemistry | chemistry | |
math_1160 | math_mc | Let $a_1,$ $a_2,$ $\dots,$ $a_{2018}$ be the roots of the polynomial
\[x^{2018} + x^{2017} + \dots + x^2 + x - 1345 = 0.\]Compute
\[\sum_{n = 1}^{2018} \frac{1}{1 - a_n}.\] | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_94623 | mmlu_aux_train | Which of these must occur for sediments to form new rock?
A. precipitation
B. evaporation
C. partial melting
D. recrystallization | D. recrystallization | college_geology | earth_science | ||
mmlu_aux_train_95111 | mmlu_aux_train | The below surface pebbles of the Snake River are of non rough edges because of?
A. smoothness
B. fish movement
C. river movement
D. rough rocks | C. river movement | college_biology | biology | ||
aquarat_17699 | deepmind/aqua_rat | Statements: The old order changed yielding place to new. Assumption: 1) Change is the law of nature. 2) Discard old ideas because they are old. | A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow | A. Only conclusion I follows | Clearly, I directly follows from the given statement. Also, it is mentioned that old ideas are replaced by new ones, as thinking changes with the progressing time. So, II does not follow.
A | formal_logic | mathematics |
mmlu_aux_train_93749 | mmlu_aux_train | Which of these tectonic plate boundaries is most likely to form a volcano?
A. a continental plate colliding with a continental plate
B. an oceanic plate sliding past a continental plate
C. a continental plate sliding past a continental plate
D. an oceanic plate colliding into a continental plate | D. an oceanic plate colliding into a continental plate | college_earth_science | earth_science | ||
mmlu_aux_train_73152 | mmlu_aux_train | Not long ago, the only time you could see a robot was when you were reading a novel or watching a movie such asStar Wars . Today, however, a lot of things in science stories have been science facts. Robots are starting to appear in our everyday lives. These robots have different sizes, shapes, and colors. But they al... | C. are playing a more important role than other types of robots | high_school_computer_science | computer_science | ||
mmlu_aux_train_59279 | mmlu_aux_train | Anyone driving the twists of Highway 1 between San Francisco and Los Angeles recently may have glimpsed a Toyota Prius car with a curious-looking thing on the roof. Harder to notice was that the person at the wheel was not actually driving. The car is a project of Google, which has been working in secret but in plain v... | C. It will take a long time before the autonomous car is put into the market. | machine_learning | computer_science | ||
allenai/sciq_10820 | allenai/sciq | What is it that surrounds cells and serve to keep the insides separated from the outsides?
A. similar membranes
B. biological membranes
C. abundant membranes
D. inner membranes | B. biological membranes | Membranes Biological membranes surround cells and serve to keep the insides separated from the outsides. They are formed of phospholipid bilayer1 s, which by definition are a double layer of fatty acid2 molecules (mostly phospholipid3 s, lipids containing lots of phosphorus). Proteins4 serve very important functions in... | high_school_biology | biology | |
mmlu_aux_train_64318 | mmlu_aux_train | New research is strengthening evidence that eating vegetables may be some of the best health advice. A study of 500, 000 Americans has found that just one extra serving of fruit or vegetables a day may reduce the risk of developing head and neck cancer. Many studies have shown that diet plays a role in cancer. Cancer e... | B. smoking | college_biology | biology | ||
aquarat_77783 | deepmind/aqua_rat | For positive integers n, the integer part of the nth term of sequence E equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, E_1 = 1.2345678…, while E_2 = 2.4681012… The sum of the first seven terms of sequence... | A. 28 and 29 B. 29 and 30 C. 30 and 31 D. 31 and 32 E. 32 and 33 | C. 30 and 31 | First, construct the first seven terms, though only out to a few decimal places, following the given pattern.
E_1 = 1.23…
E_2 = 2.46…
E_3 = 3.69…
E_4 = 4.812…
E_5 = 5.10…
E_6 = 6.12…
E_7 = 7.14…
Now, to add up the first seven terms, you should be strategic about how many decimal places to keep. You can drop the hundred... | college_mathematics | mathematics |
aquarat_75982 | deepmind/aqua_rat | Given that x = 2^b – (8^31 + 16^5), which of the following values for b yields the lowest value for |x|? | A. 91 B. 92 C. 93 D. 94 E. 113 | C. 93 | 8^31 + 16^5 = 2^93 + 2^20
Compared to 2^93, the value of 2^20 is negligible.
2^93 - (2^93 +2^20) will minimize the value of |x|.
The answer is C. | college_mathematics | mathematics |
allenai/sciq_1181 | allenai/sciq | What are compounds formed by ionic bonds called?
A. ionic compounds (salts)
B. nuclear compounds
C. mixed compounds
D. layered compounds | A. ionic compounds (salts) | high_school_chemistry | chemistry | ||
math_2200 | math_mc | Let $a$ and $b$ be angles such that
\[\cos (a + b) = \cos a + \cos b.\]Find the maximum value of $\cos a.$ | C | math_Precalculus | mathematics | ||
pythonio_919 | pythonio-mc | Program:
def nCr_mod_p(n, r, p):
if (r > n- r):
r = n - r
C = [0 for i in range(r + 1)]
C[0] = 1
for i in range(1, n + 1):
for j in range(min(i, r), 0, -1):
C[j] = (C[j] + C[j-1]) % p
return C[r]
Input:
nCr_mod_p(10, 2, 13)
Output: | C | code | computer_science | ||
aquarat_53912 | deepmind/aqua_rat | Set R consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set R by 50, set Y is derived by multiplying each term in set R by 1.5, and set Z is derived by dividing each term in set R by -4. Which of the following represents the ranking of the three sets in descending ord... | A. X, Y, Z B. X, Z, Y C. Y, Z, X D. Y, X, Z E. Z, Y, X | D. Y, X, Z | Set R - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets R and X will have the same SD.
If we increase or decrease each term in a set by the same... | college_mathematics | mathematics |
math_1709 | math_mc | Let $S_i$ be the set of all integers $n$ such that $100i\leq n < 100(i + 1)$. For example, $S_4$ is the set ${400,401,402,\ldots,499}$. How many of the sets $S_0, S_1, S_2, \ldots, S_{999}$ do not contain a perfect square?
| D | math_Number Theory | mathematics | ||
NLP4Education_289 | NLP4Education | We apply a Gaussian Mixture Model made of $K$ isotropic Gaussians (invariant to rotation around its center) to $N$ vectors of dimension $D$. What is the number of \emph{free} parameters of this model?
A. $KD + 2K - 1 - 1$
B. $KD + K - 1$
C. $2KD - 1$
D. $KD + KD^2 - 1$ | A. $KD + 2K - 1 - 1$ | machine_learning | computer_science | ||
aquarat_69847 | deepmind/aqua_rat | From a class consisting of 12 computer science majors, 10 mathematics majors, and 9 statistics majors, a committee of 4 computer science majors, 4 mathematics majors, and 3 statistics majors is to be formed. How many distinct committees are there? | A. 15200 B. 16200 C. 17200 D. 18000 E. 19500 | B. 16200 | From a class consisting of 12 computer science majors, 10 mathematics majors, and 9 statistics majors, a committee of 4 computer science majors, 4 mathematics majors, and 3 statistics majors is to be formed. How many distinct committees are there?
Alright, I just started learning combinations tonight, but I have hit a ... | college_mathematics | mathematics |
math_2198 | math_mc | How many complex numbers $z$ such that $\left| z \right| < 30$ satisfy the equation
\[
e^z = \frac{z - 1}{z + 1} \, ?
\] | B | math_Precalculus | mathematics | ||
allenai/sciq_9500 | allenai/sciq | Valence electrons also determine how well—if at all—the atoms of an element conduct what?
A. water
B. electricity
C. pollution
D. light | B. electricity | Valence electrons also determine how well—if at all—the atoms of an element conduct electricity. The copper wires in the cable in the Figure below are coated with plastic. Copper is an excellent conductor of electricity, so it is used for wires that carry electric current. Plastic contains mainly carbon, which cannot c... | high_school_chemistry | chemistry | |
allenai/sciq_2708 | allenai/sciq | Which measure indicates the number of electrons in a given sublevel?
A. subscripts
B. mole
C. superscripts
D. coefficients | C. superscripts | There are no forces of attraction or repulsion between gas particles . Attractive forces are responsible for particles of a real gas condensing together to form a liquid. It is assumed that the particles of an ideal gas have no such attractive forces. The motion of each particle is completely independent of the motion ... | high_school_chemistry | chemistry | |
aquarat_67409 | deepmind/aqua_rat | The mean of 40 observations was 100. It was found later that an observation 50 was wrongly taken as 75 The corrected new mean is | A. 125.8 B. 102.8 C. 99.375 D. 100.52 E. 122 | C. 99.375 | Explanation:
Correct Sum = (100 * 40 + 50 - 75) = 3975.
Correct mean = = 3975/40 = 99.375
Answer: C | high_school_statistics | mathematics |
allenai/sciq_6725 | allenai/sciq | All solutions contain at least how many substances?
A. one
B. three
C. two
D. four | C. two | All solutions contain at least two substances. | high_school_chemistry | chemistry | |
pythonio_506 | pythonio-mc | Program:
import math
def lateralsurface_cone(r,h):
l = math.sqrt(r * r + h * h)
LSA = math.pi * r * l
return LSA
Input:
lateralsurface_cone(10,15)
Output: | B | code | computer_science | ||
mmlu_aux_train_1531 | mmlu_aux_train | Which two processes could result in the formation of high mountains with well-rounded peaks?
A. volcanic eruptions and global warming
B. earthquakes and tidal activity
C. collision of crustal plates and erosion
D. production of greenhouse gases and weathering | C. collision of crustal plates and erosion | earth_science | earth_science | ||
pythonio_283 | pythonio-mc | Program:
def get_median(arr1, arr2, n):
i = 0
j = 0
m1 = -1
m2 = -1
count = 0
while count < n + 1:
count += 1
if i == n:
m1 = m2
m2 = arr2[0]
break
elif j == n:
m1 = m2
m2 = arr1[0]
break
if arr1[i] <= arr2[j]:
m1 = m2
m2 = ar... | A | code | computer_science | ||
math_458 | math_mc | How many three-digit numbers are multiples of neither 5 nor 7? | C | math_Counting & Probability | mathematics | ||
allenai/sciq_4555 | allenai/sciq | When a metal is oxidized and a nonmetal is reduced in a redox reaction, what is the resulting compound called?
A. ionic compound
B. alloy
C. magnetic compound
D. soluble compound | A. ionic compound | There are many other examples of redox reactions in which two neutral elements combine to make a compound. These often take the form of a metal being oxidized and a nonmetal being reduced, resulting in an ionic compound. Two nonmetallic elements can also undergo a redox reaction of this type, in which the less electron... | high_school_chemistry | chemistry | |
NLP4Education_626 | NLP4Education | Tick the \emph{incorrect} assertion. A cipher $C$ perfectly decorrelated at order 2 implies\dots
A. perfect secrecy when used twice.
B. security against differential cryptanalysis.
C. security against linear cryptanalysis.
D. security against exhaustive search. | D. security against exhaustive search. | computer_security | computer_science | ||
NLP4Education_539 | NLP4Education | What is the inverse of 28 in $\mathbf{Z}_{77}$?
A. 0
B. 1
C. 36
D. 49 | D. 49 | abstract_algebra | mathematics | ||
mmlu_aux_train_20946 | mmlu_aux_train | The United States has always been a country of many cultures. Before Europeans came to North America, many groups of Native Americans lived here. Different Native American groups had different cultures. The first Europeans in the United States were from England and Holland, but immigrants came from all European countri... | C. cannot accurately reflect the reality in the United States | high_school_biology | biology | ||
math_1194 | math_mc | Suppose
$$a(2+i)^4 + b(2+i)^3 + c(2+i)^2 + b(2+i) + a = 0,$$where $a,b,c$ are integers whose greatest common divisor is $1$. Determine $|c|$. | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_17782 | mmlu_aux_train | Every year, I tell my sons what I'd like for Mother's Day: a letter. Something written from the heart and offered freely rather than bought from a store and wrapped neatly. I don't always get my wish, nor do I always take the time to write to my own mother. This year, my boys will be in two different states on Mother's... | B. her parents and children are still alive | high_school_computer_science | computer_science | ||
mmlu_aux_train_49806 | mmlu_aux_train | Research shows that much of our predisposition towards determination, sociability and self - control and sense of purpose is in our genes.In fact, our DNA plays a bigger role in influencing these traits ( characteristics)than our upbringing and the company we keep.Taken together, these aspects of personality can mak... | B. Our DNA plays a decisive role, in achieving success. | medical_genetics | biology | ||
aquarat_58865 | deepmind/aqua_rat | In a survey of 350 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured? | A. 7/12 B. 8/41 C. 9/348 D. 1/8 E. 41/70 | E. 41/70 | ---------UI----------------NUI-------Total
PT----(12.5/100)*104 = 13----------- --54
NPT---104-13-------------- x--------296
Total--104----------------------------350
we have to find not part time and not uninsured . in other words not part time and insured = x/350 = (296-104+13)/350
= 41/70
Answer is E. | high_school_statistics | mathematics |
allenai/sciq_8658 | allenai/sciq | The chemical used by the ants to weed their garden turns out to be what kind?
A. sulfide acid
B. sealant acid
C. formic acid
D. nitric acid | C. formic acid | high_school_biology | biology | ||
aquarat_90249 | deepmind/aqua_rat | If A(k)=(2k+1)^K, and k=0, what is the value of A(A(A(k)))? | A. 343 B. 199 C. 121 D. 69 E. 249 | A. 343 | A(A(A(0)))=A(A(1))=A(3)=(6+1)^3=343.
Thus, the answer is A. | college_mathematics | mathematics |
allenai/sciq_15 | allenai/sciq | Boron only occurs naturally in compounds with what element?
A. oxygen
B. nitrogen
C. helium
D. carbon | A. oxygen | Occurrence, Preparation, and Compounds of Boron and Silicon Boron constitutes less than 0.001% by weight of the earth’s crust. In nature, it only occurs in compounds with oxygen. Boron is widely distributed in volcanic regions as boric acid, B(OH)3, and in dry lake regions, including the desert areas of California, as ... | high_school_chemistry | chemistry | |
math_1883 | math_mc | Stan drove 300 miles in 5 hours, 20 minutes. Next, he drove 360 miles in 6 hours, 40 minutes. What was Stan's average speed in miles per hour for the total trip? | C | math_Prealgebra | mathematics | ||
allenai/sciq_10596 | allenai/sciq | What type of fish are the majority of living species?
A. lungfish
B. ray-finned fish
C. cartilaginous fish
D. freshwater fish | B. ray-finned fish | Ray-finned fish include the majority of living fish species, including goldfish, tuna, salmon, perch, and cod. They have a bony endoskeleton and a swim bladder. Their thin fins consist of webs of skin over flexible bony rays, or spines. The fins lack muscle, so their movements are controlled by muscles in the body wall... | high_school_biology | biology | |
math_1925 | math_mc | The six faces of a three-inch wooden cube are each painted red. The cube is then cut into one-inch cubes along the lines shown in the diagram. How many of the one-inch cubes have red paint on at least two faces? [asy]
pair A,B,C,D,E,F,G;
pair a,c,d,f,g,i,j,l,m,o,p,r,s,u,v,x,b,h;
A=(0.8,1);
B=(0,1.2);
C=(1.6,1.3);
D=... | D | math_Prealgebra | mathematics | ||
mmlu_aux_train_94232 | mmlu_aux_train | Some localized layers of rock contain the element iridium. Iridium is most often found in space objects such as meteoroids and asteroids. The discovery of these iridium-containing layers has been matched to which phenomena in Earth's history?
A. tectonic plate separations
B. mass species extinctions
C. orbital path ch... | B. mass species extinctions | astronomy | physics | ||
allenai/sciq_2339 | allenai/sciq | The structure of mitochondrion plays an important role in what?
A. magnetism
B. sexual reproduction
C. aerobic respiration
D. cell division | C. aerobic respiration | The structure of a mitochondrion is defined by an inner and outer membrane. This structure plays an important role in aerobic respiration. | high_school_biology | biology | |
allenai/sciq_7412 | allenai/sciq | Cooling or evaporation of what from the sea surface makes surface water dense?
A. salt water
B. fresh water
C. warm water
D. dirty water | B. fresh water | Cooling or evaporation of fresh water from the sea surface makes surface water dense. This causes the surface water to undergo downwelling. | college_earth_science | earth_science | |
math_2093 | math_mc | A triangle has side lengths 7, 8, and 9. There are exactly two lines that simultaneously bisect the perimeter and area of the triangle. Let $\theta$ be the acute angle between these two lines. Find $\tan \theta.$
[asy]
unitsize(0.5 cm);
pair A, B, C, P, Q, R, S, X;
B = (0,0);
C = (8,0);
A = intersectionpoint(arc(... | A | math_Precalculus | mathematics | ||
mmlu_aux_train_49210 | mmlu_aux_train | A team of researchers from Oxford University has demonstrated a self-driving car that is different from such cars being tested by Audi, Ford, etc. It' s much cheaper because it's based on off-the-shelf technology and controlled by an ordinary iPad. Instead of using GPS to understand the location, the car learns routes... | A. use available low-cost technology | machine_learning | computer_science | ||
mmlu_aux_train_95753 | mmlu_aux_train | Things that are shiny can reflect light, so all of these will aside from
A. dog tag
B. ring
C. outlet
D. confetti | C. outlet | high_school_physics | physics | ||
pythonio_885 | pythonio-mc | Program:
def series_sum(number):
total = 0
total = (number * (number + 1) * (2 * number + 1)) / 6
return total
Input:
series_sum(6)
Output: | D | code | computer_science | ||
math_932 | math_mc | [asy] draw((0,0)--(0,2)--(2,2)--(2,0)--cycle,dot); draw((2,2)--(0,0)--(0,1)--cycle,dot); draw((0,2)--(1,0),dot); MP("B",(0,0),SW);MP("A",(0,2),NW);MP("D",(2,2),NE);MP("C",(2,0),SE); MP("E",(0,1),W);MP("F",(1,0),S);MP("H",(2/3,2/3),E);MP("I",(2/5,6/5),N); dot((1,0));dot((0,1));dot((2/3,2/3));dot((2/5,6/5)); [/asy]
If $A... | C | math_Geometry | mathematics | ||
mmlu_aux_train_12539 | mmlu_aux_train | The goal of earthquake prediction is to give early enough warning. The U.S. Geological Survey conducts and supports research on the likelihood of future earthquakes. Scientists estimate earthquake probabilities in two ways: by studying the history of large earthquakes in a special area and the rate at which strain accu... | B. How to predict earthquakes. | earth_science | earth_science | ||
allenai/sciq_4123 | allenai/sciq | What is the process by which a liquid changes to a solid?
A. boiling
B. melting
C. vaporizing
D. freezing | D. freezing | The process in which a liquid changes to a solid is called freezing . The temperature at which a liquid changes to a solid is its freezing point. The freezing point of water is 0°C (32°F). Other types of matter may have higher or lower freezing points. For example, the freezing point of iron is 1535°C. The freezing poi... | high_school_chemistry | chemistry | |
math_2010 | math_mc | Joe wants to find all the four-letter words that begin and end with the same letter. How many combinations of letters satisfy this property? | D | math_Prealgebra | mathematics | ||
allenai/sciq_9248 | allenai/sciq | What do cyclotrons use to cause particles to move in circular orbits?
A. occurs field
B. layers field
C. mixed field
D. magnetic field | D. magnetic field | Figure 33.8 Cyclotrons use a magnetic field to cause particles to move in circular orbits. As the particles pass between the plates of the Ds, the voltage across the gap is oscillated to accelerate them twice in each orbit. | college_physics | physics | |
mmlu_aux_train_75636 | mmlu_aux_train | Many homes have cameras to protect them from danger. The cameras can tell the owners if someone has entered. But the cameras do not know whether the person is a family member, a friend, a postman or a criminal . But a new camera made by a French company can recognize faces. It can tell parents at work that their chi... | C. recognize faces | computer_security | computer_science | ||
pythonio_332 | pythonio-mc | Program:
def get_product(val) :
res = 1
for ele in val:
res *= ele
return res
def find_k_product(test_list, K):
res = get_product([sub[K] for sub in test_list])
return (res)
Input:
find_k_product([(5, 6, 7), (1, 3, 5), (8, 9, 19)], 2)
Output: | C | code | computer_science | ||
math_663 | math_mc | Let $(a_1,a_2,a_3,\ldots,a_{12})$ be a permutation of $(1,2,3,\ldots,12)$ for which
$a_1>a_2>a_3>a_4>a_5>a_6 \mathrm{\ and \ } a_6<a_7<a_8<a_9<a_{10}<a_{11}<a_{12}.$
An example of such a permutation is $(6,5,4,3,2,1,7,8,9,10,11,12).$ Find the number of such permutations.
| B | math_Counting & Probability | mathematics | ||
pythonio_782 | pythonio-mc | Program:
def fibonacci(n):
if n == 1 or n == 2:
return 1
else:
return (fibonacci(n - 1) + (fibonacci(n - 2)))
Input:
fibonacci(9)
Output: | D | code | computer_science | ||
aquarat_93224 | deepmind/aqua_rat | If a certain sample of data has a mean of 15.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | A. (8.0; 16.5) B. (8.5; 21.0) C. (14.0; 26.5) D. (16.5; 26.0) E. (21.0; 26.5) | B. (8.5; 21.0) | 2.5 standard deviation equals to 2.5*2=5;
2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 10 to 20.
The correct answer choice must cover all this range: only answer choice B does this.
Answer: B. | high_school_statistics | mathematics |
NLP4Education_607 | NLP4Education | I want to send a value to Bob without him knowing which value I sent and such that I cannot change my mind later when I reveal it in clear. I should use …
A. a stream cipher.
B. a PRNG.
C. a commitment scheme.
D. a digital signature. | C. a commitment scheme. | computer_security | computer_science | ||
pythonio_636 | pythonio-mc | Program:
def return_sum(dict):
sum = 0
for i in dict.values():
sum = sum + i
return sum
Input:
return_sum({'a': 36, 'b':39, 'c':49})
Output: | C | code | computer_science | ||
math_1862 | math_mc | If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third side? Express your answer in simplest radical form. | C | math_Prealgebra | mathematics | ||
math_1035 | math_mc | Point $P$ lies on the diagonal $AC$ of square $ABCD$ with $AP > CP$. Let $O_{1}$ and $O_{2}$ be the circumcenters of triangles $ABP$ and $CDP$ respectively. Given that $AB = 12$ and $\angle O_{1}PO_{2} = 120^{\circ}$, then $AP = \sqrt{a} + \sqrt{b}$, where $a$ and $b$ are positive integers. Find $a + b$.
| B | math_Geometry | mathematics | ||
math_1748 | math_mc | How many of the positive divisors of 3240 are multiples of 3? | B | math_Number Theory | mathematics | ||
NLP4Education_709 | NLP4Education | Which of AddressSanitizer (ASan), MemorySanitizer (MemSan), UndefinedBehaviorSanitizer (UBSan), or ThreadSanitizer (TSan) can detect bugs (if any) in the following code snippet?
\begin{lstlisting}[language=C,style=c]
int sum_up_to(int x) {
// Return sum of integers up to x
int result = x;
for (int i = x; i... | C. There is at least one bug in the snippet, but none of the mentioned sanitizers can detect it. | coding | computer_science | ||
aquarat_58134 | deepmind/aqua_rat | A certain set of numbers has an average (arithmetic mean) of 10 and a standard deviation of 2.5. If X, a number in the set, is within 2 standard deviations from the average, then which of the following CANNOT be the value of X? | A. 2 B. 5.5 C. 6 D. 10 E. 14 | A. 2 | average (arithmetic mean) of 10 and a standard deviation of 2.5
Since, X, a number in the set, is within 2 standard deviations
i.e. X, a number in the set, between 10+2*2.5 and 10-2*2.5
i.e. X, a number in the set, between 15 and 5
Option A (2) is not within 2 SD therefore
Answer: Option A | high_school_statistics | mathematics |
math_1886 | math_mc | Triangle $ABC$ is an isosceles triangle with side lengths of 25, 25 and 48 centimeters. What is the area of triangle $ABC$, in square centimeters? | D | math_Prealgebra | mathematics | ||
pythonio_347 | pythonio-mc | Program:
def matrix_to_list(test_list):
temp = [ele for sub in test_list for ele in sub]
res = list(zip(*temp))
return (str(res))
Input:
matrix_to_list([[(6, 7), (9, 10)], [(12, 15), (20, 21)], [(23, 7), (15, 8)]])
Output: | A | code | computer_science | ||
math_1532 | math_mc | Find the largest three-digit integer that is divisible by each of its distinct, non-zero digits. | A | math_Number Theory | mathematics | ||
allenai/sciq_1897 | allenai/sciq | What provides building materials for the body?
A. water
B. food
C. heat
D. energy | B. food | Food provides building materials for the body. The body needs building materials for growth and repair. | high_school_biology | biology | |
allenai/sciq_6435 | allenai/sciq | What organic catalysts work by lowering the activation energy needed to start biochemical reactions?
A. glucose
B. hormones
C. carbohydrates
D. enzymes | D. enzymes | Enzymes work by lowering the activation energy needed to start biochemical reactions. | college_biology | biology | |
math_699 | math_mc | Two distinct positive integers from 1 to 50 inclusive are chosen. Let the sum of the integers equal $S$ and the product equal $P$. What is the probability that $P+S$ is one less than a multiple of 5? | C | math_Counting & Probability | mathematics | ||
allenai/sciq_7607 | allenai/sciq | What parts of the planet does solar energy have difficulty reaching?
A. deserts
B. equators
C. poles
D. oceans | C. poles | Much less solar energy gets to the poles. | astronomy | physics | |
NLP4Education_69 | NLP4Education | Consider the composite function $f(x)=g(h(x))$, where all functions are $\mathbb{R}$ to $\mathbb{R}$. Which of the following is the weakest condition that guarantees that $f(x)$ is convex?
A. $g(x)$ and $h(x)$ are convex and $g(x)$ is increasing
B. $g(x)$ and $h(x)$ are convex and $h(x)$ is increasing
C. $g(x)$ is conv... | A. $g(x)$ and $h(x)$ are convex and $g(x)$ is increasing | college_mathematics | mathematics | ||
allenai/sciq_4691 | allenai/sciq | The sum of the kinetic and potential energies of a system’s atoms and molecules is called what?
A. stored energy
B. internal energy
C. mechanical energy
D. used energy | B. internal energy | Internal energy—the sum of the kinetic and potential energies of a system’s atoms and molecules. Can be divided into many subcategories, such as thermal and chemical energy. Depends only on the state of a system (such as its P , V , and T ), not on how the energy entered the system. Change in internal energy is path in... | college_physics | physics | |
math_1933 | math_mc | In the diagram shown, $\overrightarrow{OA}\perp\overrightarrow{OC}$ and $\overrightarrow{OB}\perp\overrightarrow{OD}$. If $\angle{AOD}$ is 3.5 times $\angle{BOC}$, what is $\angle{AOD}$? [asy]
unitsize(1.5cm);
defaultpen(linewidth(.7pt)+fontsize(10pt));
dotfactor=4;
pair O=(0,0), A=dir(0), B=dir(50), C=dir(90), D=dir(... | D | math_Prealgebra | mathematics | ||
math_1428 | math_mc | We can write
\[\sum_{k = 1}^{100} (-1)^k \cdot \frac{k^2 + k + 1}{k!} = \frac{a}{b!} - c,\]where $a,$ $b,$ and $c$ are positive integers. Find the smallest possible value of $a + b + c.$ | B | math_Intermediate Algebra | mathematics | ||
aquarat_34145 | deepmind/aqua_rat | I. m-14, m, m, m, m+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following? | A. I, II, III B. I, III, II C. II, III, I D. III, I, II E. III, II, I | A. I, II, III | S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values o... | high_school_statistics | mathematics |
pythonio_565 | pythonio-mc | Program:
def unique_sublists(list1):
result ={}
for l in list1:
result.setdefault(tuple(l), list()).append(1)
for a, b in result.items():
result[a] = sum(b)
return result
Input:
unique_sublists([[1, 3], [5, 7], [1, 3], [13, 15, 17], [5, 7], [9, 11]] )
Output: | B | code | computer_science | ||
pythonio_921 | pythonio-mc | Program:
def nCr_mod_p(n, r, p):
if (r > n- r):
r = n - r
C = [0 for i in range(r + 1)]
C[0] = 1
for i in range(1, n + 1):
for j in range(min(i, r), 0, -1):
C[j] = (C[j] + C[j-1]) % p
return C[r]
Input:
nCr_mod_p(18, 14, 19)
Output: | C | code | computer_science | ||
allenai/sciq_9369 | allenai/sciq | Seawalls and breakwaters are built parallel to what?
A. the deep
B. shore
C. ocean base
D. center-point | B. shore | Seawalls and breakwaters are built parallel to the shore. | earth_science | earth_science | |
mmlu_aux_train_48968 | mmlu_aux_train | Mozilla has shown off a prototype for a $25 (PS15) smart phone that is aimed at the developing world. The company, which is famed mostly for its Firefox browser , has partnered with the Chinese low-cost chip maker Spreadtrum. While not as powerful as more expensive models, the phone will run apps and make use of mobil... | C. It will attract the present "feature" phone users. | college_computer_science | computer_science | ||
allenai/sciq_5943 | allenai/sciq | At what time of the year can tornadoes occur?
A. winter
B. spring
C. summer
D. any | D. any | high_school_physics | physics | ||
pythonio_380 | pythonio-mc | Program:
def count_char(string,char):
count = 0
for i in range(len(string)):
if(string[i] == char):
count = count + 1
return count
Input:
count_char("Python",'o')
Output: | C | code | computer_science | ||
mmlu_aux_train_34442 | mmlu_aux_train | In face of global warming, much effort has been focused on reducing greenhouse gas emissions through a variety of strategies. But while much of the research and innovation has concentrated on finding less-polluting energy alternatives, it may be decades before clean technologies like wind and solar meet a significant p... | C. How to deal with the greenhouse gas creatively. | college_earth_science | earth_science | ||
mmlu_aux_train_95285 | mmlu_aux_train | What makes the best wiring?
A. rope
B. Tungsten
C. hemp
D. plastic | B. Tungsten | electrical_engineering | engineering | ||
allenai/sciq_4870 | allenai/sciq | Which type of tides are created when the sun and moon's tides match?
A. spring tides
B. Neap tides
C. low tides
D. weak tides | A. spring tides | When the Sun's and Moon's tides match, there are spring tides. When the two tides are opposed, there are neap tides. | college_physics | physics | |
aquarat_52535 | deepmind/aqua_rat | What command is used to create a backup configuration? | A. copy running backup B. copy running-config startup-config C. config mem D. wr mem E. wr m22 | B. copy running-config startup-config | Explanation:
The command to back up the configuration on a router is
Answer: Option B | computer_security | computer_science |
pythonio_129 | pythonio-mc | Program:
def max_sub_array_sum(a, size):
max_so_far = 0
max_ending_here = 0
for i in range(0, size):
max_ending_here = max_ending_here + a[i]
if max_ending_here < 0:
max_ending_here = 0
elif (max_so_far < max_ending_here):
max_so_far = max_ending_here
return max_so_far
Input:
ma... | D | code | computer_science |
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