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 |
|---|---|---|---|---|---|---|---|
aquarat_19664 | deepmind/aqua_rat | In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 6% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three ... | A. 5 B. 9 C. 15 D. 20 E. 25 | B. 9 | Use the forumla ;
Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three) + Neither
100 = 50 + 30 + 20 - ( sum of 2) -2(6) +15
100 = 103-( sum of 2)
3 = sum of 2
so more than 1 = 9
B | high_school_statistics | mathematics |
math_1356 | math_mc | Find the area of the region described by $x \ge 0,$ $y \ge 0,$ and
\[100 \{x\} \ge \lfloor x \rfloor + \lfloor y \rfloor.\]Note: For a real number $x,$ $\{x\} = x - \lfloor x \rfloor$ denotes the fractional part of $x.$ For example, $\{2.7\} = 0.7.$ | C | math_Intermediate Algebra | mathematics | ||
math_1097 | math_mc | $ABCDEFGH$ shown below is a cube. Find $\sin \angle HAC$.
[asy]
import three;
triple A,B,C,D,EE,F,G,H;
A = (0,0,0);
B = (1,0,0);
C = (1,1,0);
D= (0,1,0);
EE = (0,0,1);
F = B+EE;
G = C + EE;
H = D + EE;
draw(B--C--D);
draw(B--A--D,dashed);
draw(EE--F--G--H--EE);
draw(A--EE,dashed);
draw(B--F);
draw(C--G... | A | math_Geometry | mathematics | ||
pythonio_369 | pythonio-mc | Program:
def sorted_dict(dict1):
sorted_dict = {x: sorted(y) for x, y in dict1.items()}
return sorted_dict
Input:
sorted_dict({'n1': [25,37,41], 'n2': [41,54,63], 'n3': [29,38,93]})
Output: | B | code | computer_science | ||
allenai/sciq_3937 | allenai/sciq | The mole fraction of the solvent is just one minus the mole fraction of what?
A. nutrients
B. molecules
C. solute
D. solution | C. solute | The molarity is 0.0129 M, the molality is 0.0129 m, the mole fraction is 2.33 × 10 , and the solution contains 1830 ppm Na2HPO4. Mole fraction is most useful for calculating vapor pressure, because Raoult’s law states that the vapor pressure of a solution containing a non-volatile solute is equal to the mole fraction o... | high_school_chemistry | chemistry | |
mmlu_aux_train_9415 | mmlu_aux_train | Every year, millions of Americans see their personal information leak into the wrong hands. Maybe there's spyware on the their computer, or a service they use suffered a security reach, leaving customers at the risk of exposure. Or perhaps their password is easy to guess. Don't fear: You can easily set up proper defens... | A. ways of avoiding identity theft | computer_security | computer_science | ||
aquarat_13595 | deepmind/aqua_rat | In an encryption code 'MATTER' is written as 'B"EEQW' when encoded and 'POTATO' is written as 'IUE"EU' when encoded. How is ''TOMATO" written in that encryption code? | A. BEQWU" B. UEBUEB C. BE"QBU D. EUB"EU E. EUEUB" | D. EUB"EU | T = E
O = U
M = B
A = "
T = E
O = U
Correct Answer: D | coding | computer_science |
pythonio_744 | pythonio-mc | Program:
import heapq as hq
def raw_heap(rawheap):
hq.heapify(rawheap)
return rawheap
Input:
raw_heap([25, 35, 22, 85, 14, 65, 75, 25, 58])
Output: | D | code | computer_science | ||
aquarat_74349 | deepmind/aqua_rat | An alloy is to contain Steel and Iron in the ratio 5:2. The Iron required to be melted with 35kg of Steel is? | A. 12kg B. 14kg C. 15kg D. 20kg E. 18kg | B. 14kg | Let the required quantity of steel be x kg
5:2::35:x
5x =2*35
x = 14kg
Answer is B | high_school_chemistry | chemistry |
math_1416 | math_mc | Let $f(x)$ be a function such that $f(0) = 1$ and
\[f(xy) = f \left( \frac{x^2 + y^2}{2} \right) + (x - y)^2\]for all real numbers $x$ and $y.$ Find $f(x).$ | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_3912 | allenai/sciq | Compared to thoracic and lumbar types, the cervical type of what structures carry the least amount of body weight?
A. ametic
B. vertebrae
C. nasal
D. nuclei | B. vertebrae | Cervical Vertebrae Typical cervical vertebrae, such as C4 or C5, have several characteristic features that differentiate them from thoracic or lumbar vertebrae (Figure 7.25). Cervical vertebrae have a small body, reflecting the fact that they carry the least amount of body weight. Cervical vertebrae usually have a bifi... | college_biology | biology | |
math_41 | math_mc | A rectangle is called cool if the number of square units in its area is equal to twice the number of units in its perimeter. A cool rectangle also must have integer side lengths. What is the sum of all the different possible areas of cool rectangles? | C | math_Algebra | mathematics | ||
math_594 | math_mc | Let $N$ denote the number of permutations of the $15$-character string $AAAABBBBBCCCCCC$ such that
None of the first four letters is an $A$.
None of the next five letters is a $B$.
None of the last six letters is a $C$.
Find the remainder when $N$ is divided by $1000$.
| D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_95104 | mmlu_aux_train | Transpiration involves
A. H2O traveling about a daffodil's system
B. pollen traveling about the plant's system
C. the production of new oxygen molecules
D. the production of new seedlings | A. H2O traveling about a daffodil's system | high_school_biology | biology | ||
math_2179 | math_mc | Let $f$ be the function defined by $f(x) = -2 \sin(\pi x)$. How many values of $x$ such that $-2 \le x \le 2$ satisfy the equation $f(f(f(x))) = f(x)$? | B | math_Precalculus | mathematics | ||
pythonio_406 | pythonio-mc | Program:
def mul_list(nums1,nums2):
result = map(lambda x, y: x * y, nums1, nums2)
return list(result)
Input:
mul_list([1, 2, 3],[4,5,6])
Output: | B | code | computer_science | ||
allenai/sciq_8367 | allenai/sciq | The dual character is critical for the formation of the what?
A. tissues bilayer
B. carbon bilayer
C. lipid bilayer
D. muscle bilayer | C. lipid bilayer | The dual character is critical for the formation of the lipid bilayer. The hydrophilic portions of the molecule are in contact with the aqueous environment of the cell, while the hydrophobic portion of the lipids is in the interior of the bilayer and provides a barrier to the passive diffusion of most molecules. | college_biology | biology | |
math_977 | math_mc | Let $\triangle ABC$ be an acute scalene triangle with circumcircle $\omega$. The tangents to $\omega$ at $B$ and $C$ intersect at $T$. Let $X$ and $Y$ be the projections of $T$ onto lines $AB$ and $AC$, respectively. Suppose $BT = CT = 16$, $BC = 22$, and $TX^2 + TY^2 + XY^2 = 1143$. Find $XY^2$.
| D | math_Geometry | mathematics | ||
math_1470 | math_mc | Let
\[x^8 - 98x^4 + 1 = p(x) q(x),\]where $p(x)$ and $q(x)$ are monic, non-constant polynomials with integer coefficients. Find $p(1) + q(1).$ | C | math_Intermediate Algebra | mathematics | ||
math_601 | math_mc | Three numbers, $a_1\,$, $a_2\,$, $a_3\,$, are drawn randomly and without replacement from the set $\{1, 2, 3, \dots, 1000\}\,$. Three other numbers, $b_1\,$, $b_2\,$, $b_3\,$, are then drawn randomly and without replacement from the remaining set of 997 numbers. Let $p\,$ be the probability that, after a suitable rotat... | B | math_Counting & Probability | mathematics | ||
math_132 | math_mc | Find the radius of the circle with equation $9x^2-18x+9y^2+36y+44=0.$ | A | math_Algebra | mathematics | ||
mmlu_aux_train_95446 | mmlu_aux_train | Seeing stars may become more difficult as
A. stars are condensed in the sky
B. a greater amount of light is condensed in an area
C. floodlights are used at sea
D. spaceships begin to hover over earth | B. a greater amount of light is condensed in an area | conceptual_physics | physics | ||
NLP4Education_65 | NLP4Education | (Backpropagation) Training via the backpropagation algorithm always learns a globally optimal neural network if there is only one hidden layer and we run an infinite number of iterations and decrease the step size appropriately over time.
A. True for all neural networks with one hidden layer.
B. True only if the networ... | C. False, backpropagation can converge to local minima even with a single hidden layer. | machine_learning | computer_science | ||
aquarat_48701 | deepmind/aqua_rat | Set G consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set G by 50, set Y is derived by multiplying each term in set G by 1.5, and set Z is derived by dividing each term in set G 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 G - {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 G and X will have the same SD.
If we increase or decrease each term in a set by the same... | college_mathematics | mathematics |
allenai/sciq_11031 | allenai/sciq | What is the general name for saturated hydrocarbons?
A. petrolatums
B. halides
C. enzymes
D. alkanes | D. alkanes | Saturated hydrocarbons are given the general name of alkanes . The name of specific alkanes always ends in - ane . The first part of the name indicates how many carbon atoms each molecule of the alkane has. The smallest alkane is methane. It has just one carbon atom. The next largest is ethane, with two carbon atoms. T... | high_school_chemistry | chemistry | |
mmlu_aux_train_11432 | mmlu_aux_train | Computer programmer David Jones earned PS35,000 a year designing new computer games, yet he cannot find a bank prepared to let him have a check card, he has been told to wait another two years until he is 18. He works for a small firm in Liverpool, where most young people of his age are finding jobs. David's biggest he... | A. He earns an extremely high payment | high_school_computer_science | computer_science | ||
mmlu_aux_train_27057 | mmlu_aux_train | Last week, we explained that the planet Mars has passed "opposition. "It passed a point opposite the Sun. This week, we tell about the planet's surprising motion among the stars. For thousands of years, people have recognized that planets travel among the stars. The planets generally follow the path taken by the Sun t... | D. the Earth's turning motion causes the sun to rise in the east | astronomy | physics | ||
allenai/sciq_1234 | allenai/sciq | Water molecules are polar, so they form what type of bonds?
A. oxygen
B. helium
C. carbon
D. hydrogen | D. hydrogen | Water molecules are polar, so they form hydrogen bonds. This gives water unique properties, such as a relatively high boiling point, high specific heat, cohesion, adhesion and density. | high_school_chemistry | chemistry | |
pythonio_947 | pythonio-mc | Program:
def remove_empty(tuple1): #L = [(), (), ('',), ('a', 'b'), ('a', 'b', 'c'), ('d')]
tuple1 = [t for t in tuple1 if t]
return tuple1
Input:
remove_empty([(), (), ('',), ('a', 'b'), ('a', 'b', 'c'), ('d')])
Output: | C | code | computer_science | ||
math_874 | math_mc | Two noncongruent integer-sided isosceles triangles have the same perimeter and the same area. The ratio of the lengths of the bases of the two triangles is $8: 7$. Find the minimum possible value of their common perimeter.
| A | math_Geometry | mathematics | ||
NLP4Education_652 | NLP4Education | Tick the \textbf{incorrect} assumption. A language $L$ is in NP if...
A. $x \in L$ can be decided in polynomial time.
B. $x \in L$ can be decided in polynomial time given a witness $w$.
C. $L$ is NP-hard.
D. $L$ (Turing-)reduces to a language $L_2$ with $L_2$ in $P$, i.e., if there is a polynomial deterministic Turing ... | C. $L$ is NP-hard. | formal_logic | mathematics | ||
math_154 | math_mc | When you simplify $\sqrt[3]{24a^4b^6c^{11}}$, what is the sum of the exponents of the variables that are outside the radical? | D | math_Algebra | mathematics | ||
math_92 | math_mc | Compute the range of $y=|x+7|-|x-2|$. | A | math_Algebra | mathematics | ||
NLP4Education_798 | NLP4Education | Let $E$ and $F$ be two events. Suppose that they satisfy $p(E|F)=p(E) > 0.$ True or false: Then we must have $p(F|E)=p(F).$
A. $p(F|E) = p(F)$ always holds.
B. $p(F|E) = p(F)$ never holds.
C. $p(F|E) = p(F)$ sometimes holds but not always.
D. The information is insufficient to determine if $p(F|E) = p(F)$. | A. $p(F|E) = p(F)$ always holds. | college_mathematics | mathematics | ||
aquarat_89128 | deepmind/aqua_rat | In a certain random experiment, exactly one of the outcomes A, B, and M will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcom... | A. 5/243 B. 1/12 C. 10/81 D. 1/6 E. 16/81 | C. 10/81 | Number of ways in which a group of 2A,2B,2M can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind)
Total number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/M; Second in 3 diff ways ag... | high_school_statistics | mathematics |
mmlu_aux_train_95958 | mmlu_aux_train | During the time the moon orbits the Earth 13 times the Earth orbits the sun
A. once
B. twice
C. three times
D. four times | A. once | astronomy | physics | ||
pythonio_571 | pythonio-mc | Program:
def find_Min_Diff(arr,n):
arr = sorted(arr)
diff = 10**20
for i in range(n-1):
if arr[i+1] - arr[i] < diff:
diff = arr[i+1] - arr[i]
return diff
Input:
find_Min_Diff((1,5,3,19,18,25),6)
Output: | B | code | computer_science | ||
mmlu_aux_train_40008 | mmlu_aux_train | Cyber Cafe computer centers are found in many cities around the world. Now, a few American high schools are opening these centers. For example, high school in the state of Maryland began operating a Cyber Cafe last March. All students at Bethesde-Chevy Chase High School in Bethesda can use the Cyber Cafe. But school of... | A. Education Report | high_school_computer_science | computer_science | ||
math_1136 | math_mc | Find [the decimal form of] the largest prime divisor of $100111011_6$.
| A | math_Intermediate Algebra | mathematics | ||
aquarat_3393 | deepmind/aqua_rat | Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ? | A. 6 B. 1 C. 2 D. 0 E. 31 | D. 0 | n~ = (n-1)!
so 34~ = (34-1)! = 33!
when 33!/34 we have 16*2 inside 33!
hence 34 gets cancelled and we get remainder as 0
D | college_mathematics | mathematics |
math_703 | math_mc | Let $A$, $B$, $C$ and $D$ be the vertices of a regular tetrahedron each of whose edges measures 1 meter. A bug, starting from vertex $A$, observes the following rule: at each vertex it chooses one of the three edges meeting at that vertex, each edge being equally likely to be chosen, and crawls along that edge to the v... | C | math_Counting & Probability | mathematics | ||
aquarat_89773 | deepmind/aqua_rat | Find the minimum value of n such that 50! is perfectly divisible by 2520^n. | A. 0 B. 1 C. 2 D. 3 E. 4 | B. 1 | 50!/2520^n
2520 -> 2^3 * 3^2 * 5^1 * 7^1
Here 7 is the largest prime factor...
So in order to find the minimum value of "n", it is enough to find the minimum power of "7"... nd for maximum value of "n", find max power of 7...
For max. value of n, find
50/7^1 + 50/7^2 = 7 + 1 = 8 [quotient only]
Max. value of n which is... | college_mathematics | mathematics |
math_2106 | math_mc | Let $A = (-1,1,2),$ $B = (1,2,3),$ and $C = (t,1,1),$ where $t$ is a real number. Find the smallest possible area of triangle $ABC.$ | D | math_Precalculus | mathematics | ||
math_2196 | math_mc | Let $\theta$ be the smallest acute angle for which $\sin \theta,$ $\sin 2 \theta,$ $\sin 3 \theta$ form an arithmetic progression, in some order. Find $\cos \theta.$ | C | math_Precalculus | mathematics | ||
mmlu_aux_train_96806 | mmlu_aux_train | Materials that react with other substances to delivery energy, and derived from the remains of living organisms are
A. excellent for the environment
B. a resource being depleted
C. never going to run out
D. hardly used anywhere by anyone | B. a resource being depleted | college_chemistry | chemistry | ||
NLP4Education_141 | NLP4Education | Your input is "Distributed Information Systems". Your model tries to predict "Distributed" and "Systems" by leveraging the fact that these words are in the neighborhood of "Information". This model can be:
A. Bag of Words
B. Word Embeddings
C. LDA
D. kNN | B. Word Embeddings | machine_learning | computer_science | ||
allenai/sciq_9996 | allenai/sciq | What are animal fats and oils such as olive and vegetable oil classified as?
A. proteins
B. amino acids
C. inorganic compounds
D. lipids | D. lipids | A: Lipids that are fats include butter and the fats in meats. Lipids that are oils include olive oil and vegetable oil. Examples of both types of lipids are pictured in the Figure below . | high_school_biology | biology | |
mmlu_aux_train_99600 | mmlu_aux_train | Ethanol sometimes might be
A. concocted
B. love
C. magic
D. affection | A. concocted | high_school_chemistry | chemistry | ||
mmlu_aux_train_98876 | mmlu_aux_train | A bobsled moves much faster as it leaves the concrete an touches the
A. sand
B. grass
C. sun
D. ice | D. ice | high_school_physics | physics | ||
math_429 | math_mc | Find $\left \lceil \frac{12}{7} \cdot \frac{-29}{3}\right\rceil - \left\lfloor \frac{12}{7} \cdot \left \lfloor \frac{-29}{3}\right \rfloor \right \rfloor$. | B | math_Algebra | mathematics | ||
mmlu_aux_train_44413 | mmlu_aux_train | As computers become more popular in China, Chinese people are increasingly relying on computer keyboards to input Chinese characters. But if they use the computer too much, they may end up forgetting the exact strokes of each Chinese character when writing on paper. Experts suggest people, especially students, write by... | B. To Type or To Hand Write | high_school_computer_science | computer_science | ||
aquarat_37966 | deepmind/aqua_rat | The number of positive integer solutions for the equation x +y +z + t = 18 is | A. 640 B. 780 C. 380 D. 540 E. 680 | E. 680 | The number of positive integer solutions for the equatio fx1+x2+⋯+xn=k
(k-1)C(n-1)- where k is the number and n is number of variable in the equation.
18-1 C 4-1 = 17C3 = 680
Answer : E | college_mathematics | mathematics |
pythonio_741 | pythonio-mc | Program:
import math
def sum_of_odd_Factors(n):
res = 1
while n % 2 == 0:
n = n // 2
for i in range(3,int(math.sqrt(n) + 1)):
count = 0
curr_sum = 1
curr_term = 1
while n % i == 0:
count+=1
n = n // i
curr_term *=... | D | code | computer_science | ||
allenai/sciq_7593 | allenai/sciq | In a chemical reaction, what, in general, comes together in order to form a product?
A. liquids
B. gases
C. reactants
D. propellants | C. reactants | Bonds break and reform during chemical reactions. Reactants and products contain the same atoms, but they are rearranged during the reaction, so reactants and products are different substances. | high_school_chemistry | chemistry | |
aquarat_13874 | deepmind/aqua_rat | AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 14.0 grams
4:00 P.M. x grams
7:00 P.M. 18.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at ... | A. 14.0 B. 16.1 C. 16.0 D. 12.3 E. 12.4 | C. 16.0 | The question says that bacteria increased by same fraction, not by same amount in 2 intervals of 3 hours.
Let X represent the amount of bacteria present at 4:00 PM. Since the fractional increase must remain constant from 1 to 4pm as it is from 4pm to 7pm:
Fractional increase from 1 PM to 4 PM = X / 14.0
Fractional incr... | high_school_biology | biology |
pythonio_273 | pythonio-mc | Program:
def move_num(test_str):
res = ''
dig = ''
for ele in test_str:
if ele.isdigit():
dig += ele
else:
res += ele
res += dig
return (res)
Input:
move_num('I1love143you55three3000thousand')
Output: | D | code | computer_science | ||
math_954 | math_mc | Triangle $ABC$ is inscribed in circle $\omega$ with $AB=5$, $BC=7$, and $AC=3$. The bisector of angle $A$ meets side $\overline{BC}$ at $D$ and circle $\omega$ at a second point $E$. Let $\gamma$ be the circle with diameter $\overline{DE}$. Circles $\omega$ and $\gamma$ meet at $E$ and a second point $F$. Then $AF^2 = ... | D | math_Geometry | mathematics | ||
NLP4Education_524 | NLP4Education | When using the plain ElGamal cryptosystem over the group $\mathbb{Z}_p^*$ with a fixed $\ell$-bit prime $p$ and a fixed generator $g\in\mathbb{Z}_p^*$, the \textit{tightest} complexity of generating a new key-pair is\ldots
A. $\mathcal{O}(4{\ell})$.
B. $\mathcal{O}(\ell^3)$.
C. $\mathcal{O}(\ell^2)$.
D. $\mathcal{O}(\l... | C. $\mathcal{O}(\ell^2)$. | computer_security | computer_science | ||
pythonio_142 | pythonio-mc | Program:
def count_Pairs(arr,n):
cnt = 0;
for i in range(n):
for j in range(i + 1,n):
if (arr[i] != arr[j]):
cnt += 1;
return cnt;
Input:
count_Pairs([1,1,1,1],4)
Output: | B | code | computer_science | ||
mmlu_aux_train_75749 | mmlu_aux_train | Computers are good tools .The Internet is also good. But some people spend too much time online. They can't stop. Doctors say this is a new sickness. They call this sickness Internet Addiction Disorder (IAD). People with IAD are online a lot. They spend hours chatting to their friends or playing online games. Many peo... | A. a new sickness | high_school_computer_science | computer_science | ||
mmlu_aux_train_26158 | mmlu_aux_train | It looks like a scene from the thriller movieJaws,but these photos of a huge shark swimming with swimmers were in fact taken in Britain. The amazing pictures,which showed that the basking shark was swimming friendly with swimmers,were taken at Porthcurno beach,Cornwall,where the basking shark was swimming just yards ... | D. swimmers were not frightened by the basking shark | high_school_biology | biology | ||
mmlu_aux_train_48729 | mmlu_aux_train | The physical memory dump error is a big problem that affects even the most advanced computer systems.Although it's quite a rare error, it's one of the most stopping what you're doing and restarting your computer--making you lose all your unsaved data.This is a big problem, but there is actually a very easy way to fix i... | B. the dump can be dealt with easily | computer_security | computer_science | ||
math_553 | math_mc | Given that
$\frac 1{2!17!}+\frac 1{3!16!}+\frac 1{4!15!}+\frac 1{5!14!}+\frac 1{6!13!}+\frac 1{7!12!}+\frac 1{8!11!}+\frac 1{9!10!}=\frac N{1!18!}$
find the greatest integer that is less than $\frac N{100}$.
| D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_89580 | mmlu_aux_train | Can you imagine a world without the Internet?It's surprising to think about it Now,China has more than 162 million Internet users,according to the China Internet Network Information Center. This is the second highest number of user in the world after the United States. Today,66% of Chinese "netizens "are teenagers. "Th... | B. America | high_school_computer_science | computer_science | ||
NLP4Education_550 | NLP4Education | Tick the \emph{incorrect} assertion regarding the Diffie-Hellman key exchange.
A. It is secure under a passive adversary.
B. It is secure when working in a subgroup of $\mathbb{Z}_p^*$ of big prime order.
C. It is secure under an active Man-In-The-Middle attack.
D. It is not secure when working in $\mathbb{Z}_n$ with $... | C. It is secure under an active Man-In-The-Middle attack. | computer_security | computer_science | ||
NLP4Education_420 | NLP4Education | Select the \emph{incorrect} statement. The Bluetooth project aims for
A. low complexity.
B. low power.
C. low cost.
D. low security. | D. low security. | electrical_engineering | engineering | ||
mmlu_aux_train_94707 | mmlu_aux_train | Which provides the oldest evidence for oxygen accumulation in Earth's atmosphere?
A. the earliest fossils of animals
B. the earliest sediments of oxidized rock
C. impact craters of oxidized-iron asteroids
D. extensive volcanic calderas of similar age | B. the earliest sediments of oxidized rock | astronomy | physics | ||
mmlu_aux_train_41936 | mmlu_aux_train | Laptop computers are popular all over the world. People use them on trains and airplanes, in airports and hotels. These laptops connect people to their workplace. In the United States today, laptops also connect students to their classrooms. Westlake College in Virginia will start a laptop computer program that allows ... | A. use for their schoolwork | high_school_computer_science | computer_science | ||
allenai/sciq_1653 | allenai/sciq | The uranium series is a chain constituting one what, which encompass naturally occurring isotopes of the heaviest elements?
A. radioactive decay family
B. fuel decay family
C. gland decay family
D. nuclear decay family | A. radioactive decay family | Radioactive Decay Series The naturally occurring radioactive isotopes of the heaviest elements fall into chains of successive disintegrations, or decays, and all the species in one chain constitute a radioactive family, or radioactive decay series. Three of these series include most of the naturally radioactive element... | high_school_chemistry | chemistry | |
aquarat_54277 | deepmind/aqua_rat | For which of the following functions is f(r+b)=f(r)+f(b) for all positive numbers r and b? | A. a) f(x)=x^2 B. b) f(x)=x+1 C. c) f(x)=root x D. d) f(x)=2/x E. e) f(x)= -3x | E. e) f(x)= -3x | f(r+b)=f(r)+f(b) Its E | college_mathematics | mathematics |
pythonio_847 | pythonio-mc | Program:
def rearrange_numbs(array_nums):
result = sorted(array_nums, key = lambda i: 0 if i == 0 else -1 / i)
return result
Input:
rearrange_numbs([10,15,14,13,-18,12,-20])
Output: | A | code | computer_science | ||
allenai/sciq_454 | allenai/sciq | When we consider a chemical reaction, we need to take into account both the system and what?
A. fluctuations
B. date
C. sorroundings
D. time | C. sorroundings | When we consider a chemical reaction, we need to take into account both the system and the surroundings. The system includes the components involved in the chemical reaction itself. These will often take place in a flask, a beaker, a test tube, or some other container. The surroundings include everything that is not pa... | high_school_chemistry | chemistry | |
math_1563 | math_mc | Let $a_n=6^{n}+8^{n}$. Determine the remainder upon dividing $a_ {83}$ by $49$.
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_98042 | mmlu_aux_train | which of these need to be present for a tectonic plate movement
A. a pool of molten lava
B. an ocean with fish
C. a river flowing north
D. a crack in the core | D. a crack in the core | earth_science | earth_science | ||
allenai/sciq_1688 | allenai/sciq | What is the process in which unstable nuclei become stable by emitting particles and energy and changing to different elements called?
A. radioactive decay
B. radioactive decrease
C. nuclear decay
D. initial decay | A. radioactive decay | Radioactive decay is the process in which unstable nuclei become stable by emitting particles and energy and changing to different elements. There are three types of radioactive decay: alpha, beta, and gamma decay. Each differs in what is emitted, how far it can travel, and what it can penetrate. | college_physics | physics | |
allenai/sciq_730 | allenai/sciq | In the first beaker, distilled water does not conduct a current because water is a what?
A. magnetic compound
B. molecular compound
C. pure element
D. solute | B. molecular compound | In the first beaker, distilled water does not conduct a current because water is a molecular compound. In the second beaker, solid sodium chloride also does not conduct a current. Despite being ionic and thus composed of charges particles, the solid crystal lattice does not allow the ions to move between the electrodes... | high_school_chemistry | chemistry | |
allenai/sciq_2527 | allenai/sciq | What is the measure of change in velocity of a moving object?
A. transmission
B. acceleration
C. kinetic energy
D. vibration | B. acceleration | Acceleration is a measure of the change in velocity of a moving object. It shows how quickly velocity changes. Acceleration may reflect a change in speed, a change in direction, or both. Because acceleration includes both a size (speed) and direction, it is a vector. | conceptual_physics | physics | |
pythonio_364 | pythonio-mc | Program:
def find_Points(l1,r1,l2,r2):
x = min(l1,l2) if (l1 != l2) else -1
y = max(r1,r2) if (r1 != r2) else -1
return (x,y)
Input:
find_Points(3,5,7,9)
Output: | D | code | computer_science | ||
allenai/sciq_7199 | allenai/sciq | Water, carbon dioxide, and what other element are important agents of chemical weathering?
A. methane
B. helium
C. sulfur
D. oxygen | D. oxygen | Water, carbon dioxide, and oxygen are important agents of chemical weathering. | high_school_chemistry | chemistry | |
allenai/sciq_3214 | allenai/sciq | What is produced when sulfur and oxygen combine?
A. treatment oxides
B. sulfur oxides
C. Solid oxides
D. ethanol oxides | B. sulfur oxides | Sulfur oxides include sulfur dioxide (SO 2 ) and sulfur trioxide (SO 3 ). Sulfur oxides are produced when sulfur and oxygen combine. This happens when coal burns. Coal can contain up to 10 percent sulfur. | high_school_chemistry | chemistry | |
pythonio_909 | pythonio-mc | Program:
def len_log(list1):
min=len(list1[0])
for i in list1:
if len(i)<min:
min=len(i)
return min
Input:
len_log(["12","12","1234"])
Output: | A | code | computer_science | ||
NLP4Education_731 | NLP4Education | When a test fails, it means that:
A. the program under test has a bug.
B. the test itself is incorrect.
C. both the program and the test must have bugs.
D. either the program under test or the test itself has a bug, or both. | D. either the program under test or the test itself has a bug, or both. | college_computer_science | computer_science | ||
allenai/sciq_7739 | allenai/sciq | Gram-positive and gram-negative bacteria are distinguished by thickness of what?
A. cell length
B. cell weight
C. cell wall
D. cell membrane | C. cell wall | Figure 13.6 Bacteria are divided into two major groups: Gram-positive and Gram-negative. Both groups have a cell wall composed of peptidoglycans: In Gram-positive bacteria, the wall is thick, whereas in Gram-negative bacteria, the wall is thin. In Gram-negative bacteria, the cell wall is surrounded by an outer membrane... | high_school_biology | biology | |
NLP4Education_330 | NLP4Education | Why is natural language processing difficult? Select all that apply. You will get a penalty for wrong answers.
A. Because data used for NLP is often high dimensional and sparse
B. Because computers easily understand all linguistic structures
C. Because NLP tasks never involve subjective human interpretation
D. Because ... | A. Because data used for NLP is often high dimensional and sparse | machine_learning | computer_science | ||
aquarat_2360 | deepmind/aqua_rat | You have 10 users plugged into a hub running 10Mbps half-duplex. There is a server connected to the switch running 10Mbps half-duplex as well. How much bandwidth does each host have to the server? | A. 22 B. 377 C. 26 D. 10 E. 88 | D. 10 | Explanation:
Each device has 10 Mbps to the server.
Answer: Option D | computer_security | computer_science |
allenai/sciq_6046 | allenai/sciq | What does the armor including spines in some species offer?
A. protection from predators
B. energy
C. protection from cold
D. nutrition | A. protection from predators | high_school_biology | biology | ||
math_880 | math_mc | For some positive integers $p$, there is a quadrilateral $ABCD$ with positive integer side lengths, perimeter $p$, right angles at $B$ and $C$, $AB=2$, and $CD=AD$. How many different values of $p<2015$ are possible?
$\textbf{(A) }30\qquad\textbf{(B) }31\qquad\textbf{(C) }61\qquad\textbf{(D) }62\qquad\textbf{(E) }63$
| D | math_Geometry | mathematics | ||
math_1723 | math_mc | The number of solutions of $2^{2x}-3^{2y}=55$, in which $x$ and $y$ are integers, is:
\[\textbf{(A)} \ 0 \qquad\textbf{(B)} \ 1 \qquad \textbf{(C)} \ 2 \qquad\textbf{(D)} \ 3\qquad \textbf{(E)} \ \text{More than three, but finite}\]
| B | math_Number Theory | mathematics | ||
allenai/sciq_9298 | allenai/sciq | Cardiomyocytes are striated muscle cells found where?
A. in lung tissue
B. in the diaphram
C. in cardiac tissue
D. in the intestines | C. in cardiac tissue | Figure 40.13 Cardiomyocytes are striated muscle cells found in cardiac tissue. (credit: modification of work by Dr. Girod, Anton Becker; scale-bar data from Matt Russell). | high_school_biology | biology | |
math_1389 | math_mc | A sequence $a_1$, $a_2$, $\ldots$ of non-negative integers is defined by the rule $a_{n+2}=|a_{n+1}-a_n|$ for $n\geq1$. If $a_1=999$, $a_2<999$, and $a_{2006}=1$, how many different values of $a_2$ are possible? | B | math_Intermediate Algebra | mathematics | ||
aquarat_52853 | deepmind/aqua_rat | Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x) | A. 4 B. 5 C. 6 D. 7 E. 8 | C. 6 | Solution:
f(x) = x4 – 8x3 + 16x2 – 19
g(x) = x – 5
f(x)/g(x) = (x4 – 8x3 + 16x2 – 19)/(x - 5)
We first need to rearrange all the terms of the dividend according to descending powers of x. The dividend then becomes x4 – 8x3 + 16x2 – 19, with 1 understood as the coefficient of the first term. No x term is there in the po... | college_mathematics | mathematics |
math_200 | math_mc | Let $
f(n) =
\begin{cases}
n^2+1 & \text{if }n\text{ is odd} \\
\dfrac{n}{2} & \text{if }n\text{ is even}
\end{cases}.
$
For how many integers $n$ from 1 to 100, inclusive, does $f ( f (\dotsb f (n) \dotsb )) = 1$ for some number of applications of $f$? | C | math_Algebra | mathematics | ||
aquarat_10090 | deepmind/aqua_rat | The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares? | A. 1,010 B. 1,164 C. 1,240 D. 1,316 E. 2,470 | E. 2,470 | First we need to find the constant 'c'. The easiest way to find this is for the sum of the first two perfect squares for 1 and 2 = 1 and 4 respectively.
Hence LHS = 1+4 and plug n=2 for RHS and simplify to get c = 1/2.
Plug values of n = 19 and c = 1/2 into the equation and simplify to get the answer 2470.
Option E. | college_mathematics | mathematics |
allenai/sciq_2810 | allenai/sciq | What color is the brittle metalloid tallurium?
A. yellowish green
B. silvery white
C. purplish blue
D. brownish black | B. silvery white | Tellurium is a silvery white, brittle metalloid. It is toxic and may cause birth defects. Tellurium can conduct electricity when exposed to light, so it is used to make solar panels. It has several other uses as well. For example, it makes steel and copper easier to work with and lends color to ceramics. | high_school_chemistry | chemistry | |
math_1059 | math_mc | In $\triangle ABC, AB = 8, BC = 7, CA = 6$ and side $BC$ is extended, as shown in the figure, to a point $P$ so that $\triangle PAB$ is similar to $\triangle PCA$. The length of $PC$ is
[asy] defaultpen(linewidth(0.7)+fontsize(10)); pair A=origin, P=(1.5,5), B=(8,0), C=P+2.5*dir(P--B); draw(A--P--C--A--B--C); label("A"... | B | math_Geometry | mathematics | ||
math_1560 | math_mc | Two numbers $90$ and $m$ share exactly three positive divisors. What is the greatest of these three common divisors? | C | math_Number Theory | mathematics | ||
math_1431 | math_mc | In a certain sequence the first term is $a_1=2007$ and the second term is $a_2=2008$. Furthermore, the values of the remaining terms are chosen so that $a_n+a_{n+1}+a_{n+2}=n$ for all $n\ge 1$. Determine $a_{1000}$. | B | math_Intermediate Algebra | mathematics | ||
math_2001 | math_mc | Misha is the 50th best as well as the 50th worst student in her grade. How many students are in Misha's grade? | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_28360 | mmlu_aux_train | According to the US Geological Survey, about seven million earthquakes strike worldwide every year--but fortunately, only about 1500 of these are of a magnitude of 5 or greater on the Richter scale. Certain areas, such as California and Japan, are more _ earthquakes than others. Although the chance of being caught in ... | C. avoid power lines | earth_science | earth_science | ||
mmlu_aux_train_2293 | mmlu_aux_train | Which of the following best shows the basic three-step energy transformation for a battery-operated radio?
A. Acoustical -> Mechanical -> Electrical
B. Mechanical -> Acoustical -> Chemical
C. Chemical -> Electrical -> Acoustical
D. Electrical -> Acoustical -> Chemical | C. Chemical -> Electrical -> Acoustical | conceptual_physics | physics |
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