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 |
|---|---|---|---|---|---|---|---|
mmlu_aux_train_99437 | mmlu_aux_train | if two objects have the same charge then those two materials will effect each other how?
A. pull together
B. attract
C. unattract
D. bug repellent | C. unattract | conceptual_physics | physics | ||
math_124 | math_mc | Krista put 1 cent into her new bank on a Sunday morning. On Monday she put 2 cents into her bank. On Tuesday she put 4 cents into her bank, and she continued to double the amount of money she put into her bank each day for two weeks. On what day of the week did the total amount of money in her bank first exceed $\$2... | B | math_Algebra | mathematics | ||
allenai/sciq_7010 | allenai/sciq | What is an interesting example of a molecule with two central atoms, which are both c atoms?
A. sulfur
B. chloride
C. acetylene
D. water | C. acetylene | Acetylene is an interesting example of a molecule with two central atoms, which are both C atoms. Polyatomic ions are bonded together with covalent bonds. Because they are ions, however, they participate in ionic bonding with other ions. So both major types of bonding can occur at the same time. | college_chemistry | chemistry | |
allenai/sciq_4948 | allenai/sciq | What sound can be heard when sound waves bounce back from a hard object?
A. echo
B. loop
C. eerie
D. boom | A. echo | Did you ever hear an echo of your own voice? An echo occurs when sound waves bounce back from a hard object. The man in Figure below is trying to create an echo by shouting toward a rock wall. When the sound waves strike the rock wall, they can’t pass through. Instead, they bounce back toward the man, and he hears an e... | high_school_physics | physics | |
allenai/sciq_4740 | allenai/sciq | What do you call the pattern of lines formed when light passes through a prism to separate it into the different frequencies of light it contains?
A. atomic emission spectrum
B. kaleidoscope effect
C. light emission spectrum
D. prismatic rainbow | A. atomic emission spectrum | Scientists studied the distinctive pink color of the gas discharge created by hydrogen gas. When a narrow beam of this light was viewed through a prism, the light was separated into four lines of very specific wavelengths (and frequencies since and are inversely related). An atomic emission spectrum is the pattern of l... | high_school_physics | physics | |
math_1866 | math_mc | How many diagonals does a convex polygon with 23 sides have? | A | math_Prealgebra | mathematics | ||
allenai/sciq_2295 | allenai/sciq | What type of behavior is frogs croaking or deer clashing antlers an example of?
A. instincts
B. mating
C. learned behavior
D. courtship | D. courtship | Courtship behaviors occur in many other species. For example, males in some species of whales have special mating songs to attract females as mates. Frogs croak for the same reason. Male deer clash antlers to court females. Male jumping spiders jump from side to side to attract mates. | high_school_biology | biology | |
allenai/sciq_3361 | allenai/sciq | Ion pumps, the biological machines responsible for the selective transport of metal ions, are complex assemblies of what?
A. proteins
B. acids
C. cells
D. minerals | A. proteins | Ion Transport The Na+, K+, Mg2+, and Ca2+ ions are important components of intracellular and extracellular fluids. Both Na+ and Ca2+ are found primarily in extracellular fluids, such as blood plasma, whereas K + and Mg2+ are found primarily in intracellular fluids. Substantial inputs of energy are required to establish... | college_biology | biology | |
allenai/sciq_1059 | allenai/sciq | A switch in a circuit controls the flow of what, specifically, within the circuit?
A. pressure
B. density
C. resistance
D. current | D. current | Many circuits have switches to control the flow of current through the circuit. When the switch is turned on, the circuit is closed and current can flow through it. When the switch is turned off, the circuit is open and current cannot flow through it. | electrical_engineering | engineering | |
pythonio_265 | pythonio-mc | Program:
def tuple_modulo(test_tup1, test_tup2):
res = tuple(ele1 % ele2 for ele1, ele2 in zip(test_tup1, test_tup2))
return (res)
Input:
tuple_modulo((11, 5, 6, 7), (6, 7, 8, 6))
Output: | C | code | computer_science | ||
NLP4Education_523 | NLP4Education | Which of the following elements belong to $\mathbf{Z}_{35}^*$?
A. 14
B. 15
C. 20
D. 12 | C. 20 | abstract_algebra | mathematics | ||
pythonio_17 | pythonio-mc | Program:
import heapq
def small_nnum(list1,n):
smallest=heapq.nsmallest(n,list1)
return smallest
Input:
small_nnum([10, 20, 50, 70, 90, 20, 50, 40, 60, 80, 100],2)
Output: | B | code | computer_science | ||
mmlu_aux_train_1167 | mmlu_aux_train | Students in Ms. Barrett's science class visited a vehicle crash-test facility. The students observed four different types of vehicles crash against a guard-rail barrier at the end of a 45-meter track as shown in the diagram below. They recorded information about each crash test in the table below. {img:images/States201... | C. 3.0 meters per second west | high_school_physics | physics | ||
NLP4Education_47 | NLP4Education | For this question, one or more assertions can be correct. Tick only the correct assertion(s). There will be a penalty for wrong assertions ticked. Which of the following associations can be considered as illustrative examples for inflectional morphology (with here the simplifying assumption that canonical forms are res... | B. (run, ran) | formal_logic | mathematics | ||
mmlu_aux_train_2725 | mmlu_aux_train | Newton's work in physics helped to provide mathematical explanations for the earlier conclusions of which scientist?
A. Ptolemy
B. Aristotle
C. Nicolas Copernicus
D. Dmitri Mendeleev | C. Nicolas Copernicus | high_school_physics | physics | ||
aquarat_76386 | deepmind/aqua_rat | Series B(n) is such that i*B(i) = j*B(j) for any pair of positive integers (i, j). If B(1) is a positive integer, which of the following is possible?
I. 2*B(100) = B(99) + B(98)
II. B(1) is the only integer in the series
III. The series does not contain negative numbers | A. I only B. II only C. IIII only D. IIIII only E. I, IIIII | D. IIIII only | First thing I want to understand is this relation: i*B(i) = j*B(j) for any pair of positive integers. I will take examples to understand it.
When i = 1 and j = 2, B(1) = 2*B(2)
So B(2) = B(1)/2
When i = 1 and j = 3, B(1) = 3*B(3)
So B(3) = B(1)/3
I see it now. The series is: B(1), B(1)/2, B(1)/3, B(1)/4 and so on...
II... | college_mathematics | mathematics |
allenai/sciq_4673 | allenai/sciq | Huge calderas form when the mountain above an empty chamber of what collapses?
A. gas
B. mercury
C. magma
D. coal | C. magma | During a massive eruption, all of the material may be ejected from a magma changer. Without support, the mountain above the empty chamber may collapse. This produces a huge caldera . Calderas are generally round, bowl-shaped formations ( Figure below ). | astronomy | physics | |
math_428 | math_mc | For what values of $b$ is $-2$ not in the range of the function $f(x)=x^2+bx+2$? Express your answer in interval notation. | A | math_Algebra | mathematics | ||
math_1011 | math_mc | Seven points are evenly spaced out on a circle and connected as shown below to form a 7-pointed star. What is the sum of the angle measurements of the seven tips of the star, in degrees? One such angle is marked as $\alpha$ below.
[asy]
dotfactor=4;
draw(Circle((0,0),1));
real x = 2*pi/7;
pair A,B,C,D,E,F,G;
A=(cos(... | D | math_Geometry | mathematics | ||
math_1046 | math_mc | In $\triangle ABC$, the sides have integer lengths and $AB=AC$. Circle $\omega$ has its center at the incenter of $\triangle ABC$. An excircle of $\triangle ABC$ is a circle in the exterior of $\triangle ABC$ that is tangent to one side of the triangle and tangent to the extensions of the other two sides. Suppose that ... | A | math_Geometry | mathematics | ||
NLP4Education_279 | NLP4Education | Suppose that for points p, q, and t in metric space, the following hold:
p is density-reachable from q
t is density-reachable from q
p is density-reachable from t
Which of the following statements is false?
A. t is a core point
B. p is a border point
C. p and q are density-connected
D. q is a core point | B. p is a border point | college_mathematics | mathematics | ||
aquarat_2378 | deepmind/aqua_rat | For which of the following functions is f(w) = f(−w) for all values of w ? | A. f(x) = x^3 + 3 B. f(x) = −x C. f(x) = 2x + 3 D. f(w) = −w^2 + 2 E. f(x) = 5x − 4 | D. f(w) = −w^2 + 2 | f(w) = f(−w)
The above is a property of an even function .
f(w) = f^(n)
f(w) = f(−w) will hold when n is an even integer .
The only case when w is even is option D
Answer D | college_mathematics | mathematics |
math_418 | math_mc | A rectangular band formation is a formation with $m$ band members in each of $r$ rows, where $m$ and $r$ are integers. A particular band has less than 100 band members. The director arranges them in a rectangular formation and finds that he has two members left over. If he increases the number of members in each row by... | C | math_Algebra | mathematics | ||
math_1033 | math_mc | In a triangle, the area is numerically equal to the perimeter. What is the radius of the inscribed circle?
$\text{(A) } 2\quad \text{(B) } 3\quad \text{(C) } 4\quad \text{(D) } 5\quad \text{(E) } 6$
| D | math_Geometry | mathematics | ||
pythonio_658 | pythonio-mc | Program:
def string_length(str1):
count = 0
for char in str1:
count += 1
return count
Input:
string_length('language')
Output: | C | code | computer_science | ||
math_988 | math_mc | The diagram shows 28 lattice points, each one unit from its nearest neighbors. Segment $AB$ meets segment $CD$ at $E$. Find the length of segment $AE$.
[asy]
unitsize(0.8cm);
for (int i=0; i<7; ++i) {
for (int j=0; j<4; ++j) {
dot((i,j));
};}
label("$A$",(0,3),W);
label("$B$",(6,0),E);
label("$D$",(2,0),S);
label("$E$... | D | math_Geometry | mathematics | ||
mmlu_aux_train_96226 | mmlu_aux_train | If you're in the North Pole the North Star may be visible when?
A. a weed
B. two months
C. a day
D. all year round | D. all year round | astronomy | physics | ||
aquarat_12953 | deepmind/aqua_rat | A pharmaceutical company received $4 million in royalties on the first $22 million in sales of generic equivalent of one of its products and then $8 million in royalties on the next $88 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $22 million in sales to th... | A. 20% B. 25% C. 30% D. 45% E. 50% | E. 50% | change in ratio of royalties to sales = 4/22 -8/88 = 1/11
% decrease = (1/11)/(4/22) *100 = 50% (approx)
Answer: E) | college_mathematics | mathematics |
pythonio_422 | pythonio-mc | Program:
def min_jumps(arr, n):
jumps = [0 for i in range(n)]
if (n == 0) or (arr[0] == 0):
return float('inf')
jumps[0] = 0
for i in range(1, n):
jumps[i] = float('inf')
for j in range(i):
if (i <= j + arr[j]) and (jumps[j] != float('inf')):
jumps[i] = min(jumps[i], jumps[j] + 1)
break
... | B | code | computer_science | ||
NLP4Education_517 | NLP4Education | Select the non-associative operation.
A. Addition ($+$)
B. Subtraction ($-$)
C. Multiplication ($\times$)
D. Exclusive-or ($\oplus$) | B. Subtraction ($-$) | abstract_algebra | mathematics | ||
math_2041 | math_mc | What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48? | C | math_Prealgebra | mathematics | ||
aquarat_56632 | deepmind/aqua_rat | In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)? | A. 27,0 B. 54,2 C. 49/2, 54 D. 49, 27 E. 49, 29 | A. 27,0 | Given equation: 2*x^4 +0*x^3 - 49*x^2 +0*x +54
let x1 and x2 be two roots of the equation then
sum of roots is x1+x2= (-b)/a= 0/2=0
and product is given by x1 * x2 = c/a=54/2=27
ANSWER:A | college_mathematics | mathematics |
math_1478 | math_mc | For a polynomial $p(x),$ define its munificence as the maximum value of $|p(x)|$ on the interval $-1 \le x \le 1.$ For example, the munificence of the polynomial $p(x) = -x^2 + 3x - 17$ is 21, since the maximum value of $|-x^2 + 3x - 17|$ for $-1 \le x \le 1$ is 21, occurring at $x = -1.$
Find the smallest possible m... | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_234 | NLP4Education | Consider the function $f(x) = -x^{2}$. Which of the following statements are true regarding subgradients of $f(x)$ at $x=0$?
A. A subgradient does not exist as $f(x)$ is differentiable at $x=0$.
B. A subgradient exists and is unique.
C. A subgradient exists but is not unique.
D. A subgradient does not exist even though... | D. A subgradient does not exist even though $f(x)$ is differentiable at $x=0$. | college_mathematics | mathematics | ||
mmlu_aux_train_30733 | mmlu_aux_train | Check out our tsunami facts and learn some interesting information related to these great walls of water that can cause so much destruction. Find out what causes tsunamis and read about some recent examples of tsunamis that have occurred around the globe. The Japanese word for tsunami means harbor wave. T... | C. Two. | astronomy | physics | ||
NLP4Education_737 | NLP4Education | Consider the Diffie-Hellman secret-key-exchange algorithm performed in the cyclic group $(\mathbb{Z}/11\mathbb{Z}^\star, \cdot)$. Let $g=2$ be the chosen group generator. Suppose that Alice's secret number is $a=5$ and Bob's is $b=3$. Which common key $k$ does the algorithm lead to? Check the correct answer.
A. 7
B. 9
... | D. 10 | abstract_algebra | mathematics | ||
math_857 | math_mc | Any five points are taken inside or on a square with side length $1$. Let a be the smallest possible number with the property that it is always possible to select one pair of points from these five such that the distance between them is equal to or less than $a$. Then $a$ is:
$\textbf{(A)}\ \sqrt{3}/3\qquad \textbf{(B)... | D | math_Geometry | mathematics | ||
mmlu_aux_train_1838 | mmlu_aux_train | A mountain with a melting glacier has a stream with a waterfall. The waterfall fills a lake at the base of the mountain. Where is the water coldest?
A. glacier
B. stream
C. waterfall
D. lake | A. glacier | high_school_biology | biology | ||
allenai/sciq_4989 | allenai/sciq | What do you call a condensation reaction in which an ester is formed from an alcohol and a carboxylic acid?
A. esterisation
B. decarboxylation
C. esterification
D. transesterification | C. esterification | An esterification is a condensation reaction in which an ester is formed from an alcohol and a carboxylic acid. Esterification is a subcategory of condensation reactions because a water molecule is produced in the reaction. The reaction is catalyzed by a strong acid, usually sulfuric acid. When the carboxylic acid buta... | college_chemistry | chemistry | |
aquarat_41330 | deepmind/aqua_rat | L29Q,L31S,P37U,R41W,T43U,? | A. V43Y B. U47Y C. V47Z D. V47Y E. V46X | D. V47Y | L + Q = 29
L + S = 31
P + U = 37
R + W = 41
T + W = 43
29 , 31 , 37 , 41 , 43 ---> prime number number sequence
=> next number = 47
V + Y = 47 => V47Y
ANSWER:D | abstract_algebra | mathematics |
math_1261 | math_mc | Compute \[\sum_{k=2}^{63} \log_2\left(1 + \frac{1}{k}\right) \log_k 2 \log_{k+1} 2.\] | D | math_Intermediate Algebra | mathematics | ||
math_1803 | math_mc | Call a positive integer $n$ $k$-pretty if $n$ has exactly $k$ positive divisors and $n$ is divisible by $k$. For example, $18$ is $6$-pretty. Let $S$ be the sum of positive integers less than $2019$ that are $20$-pretty. Find $\tfrac{S}{20}$.
| A | math_Number Theory | mathematics | ||
aquarat_89937 | deepmind/aqua_rat | A 70 kg metal bar made of alloy of tin and silver lost 7 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar? | A. 1/4 B. 2/5 C. 1/2 D. 3/5 E. 2/3 | E. 2/3 | you can simply use this formula to avoid confusion:
w1/w2 = (A2 - Aavg)/(Avg - A1)
Here is how you will find the values of A1 an A2.
We have an overall loss (average loss). The average loss is 7 kg when 70 kg alloy is immersed.
This is a loss of (7/70)*100 = 10%.
This is Aavg
The loss of tin is 1.375 kg for every 10 kg... | high_school_physics | physics |
allenai/sciq_6195 | allenai/sciq | What is the name for an underground layer of rock that is saturated with groundwater?
A. gradient
B. aquifer
C. aqueous cavity
D. artesian well | B. aquifer | An underground layer of rock that is saturated with groundwater is called an aquifer . A diagram of an aquifer is pictured below ( Figure below ). Aquifers are generally found in porous rock, such as sandstone. Water infiltrates the aquifer from the surface. The water that enters the aquifer is called recharge . | college_earth_science | earth_science | |
mmlu_aux_train_81052 | mmlu_aux_train | Good morning, class! We know that there are too many net bars around us. The Internet is popular and it makes our lives colorful. Many of us like going online very much because we can learn how to use the computer and get more information from the Internet. We can learn English. We can read some good newspapers and mag... | A. going online | high_school_computer_science | computer_science | ||
allenai/sciq_8309 | allenai/sciq | What are the three types of mixtures?
A. absorbing , suspensions , colloids
B. Powders, Gels, Smooth
C. solutions, suspensions, colloids
D. cosmic , suspensions , colloids | C. solutions, suspensions, colloids | Mixtures have different properties depending on the size of their particles. Three types of mixtures based on particle size are solutions, suspensions, and colloids, all of which are described in Table below . You can watch videos about the three types of mixtures at these URLs:. | high_school_chemistry | chemistry | |
NLP4Education_613 | NLP4Education | Consider any block cipher $C$ and a uniformly distributed random permutation $C^*$ on $\{0,1\}^\ell$. Then, for any $n \ge 1$ we always have...
A. $[C^* \circ C]^n = [C]^n$
B. $[C^* \circ C]^n = [C^*]^n$
C. $[C^* \circ C]^n = [C]^{2n}$
D. $[C^* \circ C]^n = [C]^n + [C^*]^n$ | B. $[C^* \circ C]^n = [C^*]^n$ | computer_security | computer_science | ||
aquarat_82057 | deepmind/aqua_rat | A certain list of 300 test scores has an arithmetic mean of 70 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d? | A. 70 and 70 B. 80 and 85 C. 70 and 75 D. 75 and 75 E. 70 and 80 | A. 70 and 70 | Deviation means spreading of the numbers from one median point value..
as the set is already established and we need to add only two numbers, this means we can only add numbers which are closer to the median to reduce the deviation.
so 70 and 70 are the most close numbers and they will increase the number of elements i... | high_school_statistics | mathematics |
pythonio_826 | pythonio-mc | Program:
def factorial(start,end):
res = 1
for i in range(start,end + 1):
res *= i
return res
def sum_of_square(n):
return int(factorial(n + 1, 2 * n) /factorial(1, n))
Input:
sum_of_square(5)
Output: | D | code | computer_science | ||
math_2100 | math_mc | There exist constants $a_1,$ $a_2,$ $a_3,$ $a_4,$ $a_5$ such that
\[\cos^5 \theta = a_1 \cos \theta + a_2 \cos 2 \theta + a_3 \cos 3 \theta + a_4 \cos 4 \theta + a_5 \cos 5 \theta\]for all angles $\theta.$ Find $a_1^2 + a_2^2 + a_3^2 + a_4^2 + a_5^2.$ | D | math_Precalculus | mathematics | ||
aquarat_73911 | deepmind/aqua_rat | A chemical supply company has 60 liters of a 35% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? | A. 18 B. 15 C. 20 D. 24 E. 30 | A. 18 | 60 liters of a 35% HNO3 solution means HNO3 = 21 liters in 60 liters of the solution.
Now, let x be the pure HNO3 added.
As per question,
21 + x = 50% of (60 + x)
or x =18 Hence, A | high_school_chemistry | chemistry |
mmlu_aux_train_2702 | mmlu_aux_train | Which of these has the greatest capacity for storing thermal energy from the Sun?
A. air
B. land
C. oceans
D. plants | C. oceans | conceptual_physics | physics | ||
mmlu_aux_train_2793 | mmlu_aux_train | Which of these reduces the need for people to use nonrenewable resources?
A. recycling paper products
B. watering the lawn once a week
C. designing cars that are fuel efficient
D. using coal to generate electricity | C. designing cars that are fuel efficient | high_school_chemistry | chemistry | ||
mmlu_aux_train_52797 | mmlu_aux_train | Bigger-brained birds survive better than their feathered friends with smaller brains, according to a study published on Tuesday. Scientists have suspected that birds with large brains in relation to their body size lived longer because they were able to adapt their behavior to environmental challenges. Now they have pr... | D. the bigger brain the birds have, the abler they are to deal with environment | high_school_biology | biology | ||
math_723 | math_mc | $ABCD$ is a regular tetrahedron (right triangular pyramid). If $M$ is the midpoint of $\overline{CD}$, then what is $\cos \angle AMB$? | B | math_Geometry | mathematics | ||
mmlu_aux_train_91584 | mmlu_aux_train | Are you able to send a letter with pictures and sounds to someone, anywhere in the world without putting a stamp on it? With an e-mail you can just do that. Using computers you can send e-mails quickly and easily. The post is much slower than email. E-mail can send its messages to the other side of the world in seconds... | D. a stamp | high_school_computer_science | computer_science | ||
math_746 | math_mc | Arc $AC$ is a quarter-circle with center $B$. The shaded region $ABC$ is "rolled" along a straight board $PQ$ until it reaches its original orientation for the first time with point $B$ landing at point $B^{\prime}$. If $BC = \frac{2}{\pi}$ cm, what is the length of the path that point $B$ travels? Express your answer ... | C | math_Geometry | mathematics | ||
math_1200 | math_mc | If
\[1 \cdot 1987 + 2 \cdot 1986 + 3 \cdot 1985 + \dots + 1986 \cdot 2 + 1987 \cdot 1 = 1987 \cdot 994 \cdot x,\]compute the integer $x.$ | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_2683 | mmlu_aux_train | Which layer of Earth is the source of lava that erupts from volcanoes?
A. asthenosphere
B. inner core
C. outer core
D. lithosphere | A. asthenosphere | earth_science | earth_science | ||
pythonio_704 | pythonio-mc | Program:
def cube_Sum(n):
sum = 0
for i in range(0,n) :
sum += (2*i+1)*(2*i+1)*(2*i+1)
return sum
Input:
cube_Sum(2)
Output: | A | code | computer_science | ||
pythonio_329 | pythonio-mc | Program:
def reverse_Array_Upto_K(input, k):
return (input[k-1::-1] + input[k:])
Input:
reverse_Array_Upto_K([1, 2, 3, 4, 5, 6],4)
Output: | C | code | computer_science | ||
pythonio_47 | pythonio-mc | Program:
def max_sum_increasing_subsequence(arr, n):
max = 0
msis = [0 for x in range(n)]
for i in range(n):
msis[i] = arr[i]
for i in range(1, n):
for j in range(i):
if (arr[i] > arr[j] and
msis[i] < msis[j] + arr[i]):
msis[i] = msis[j] + arr[i]
for i in range(n):
if max < msi... | A | code | computer_science | ||
allenai/sciq_3677 | allenai/sciq | What are the smallest particles of elements that maintain their unique properties?
A. protons
B. atoms
C. electrons
D. molecules | B. atoms | A: The discovery of particles smaller than atoms doesn’t mean that we should scrap the entire theory. Atoms are still known to be the smallest particles of elements that have the properties of the elements. Also, it is atoms—not particles of atoms—that combine in fixed proportions in compounds. Instead of throwing out ... | high_school_chemistry | chemistry | |
aquarat_6628 | deepmind/aqua_rat | The following sets each have a mean of 50 and the standard deviations are given in variable form.
Set I = {20, 20, 20, 80, 80, 80}, standard deviation = A
Set II = {20, 30, 40, 60, 70, 80}, standard deviation = B
Set III = {50, 50, 50, 50, 50, 50}, standard deviation = C
Rank these three standard deviations from least ... | A. A, B, C B. B, C, A C. C, A, B D. B, A, C E. C, B, A | E. C, B, A | The answer should be E as the mean is least deviated in Set III followed by Set II and then Set I. | high_school_statistics | mathematics |
aquarat_44268 | deepmind/aqua_rat | The sequence S is defined as Sn = (n + 1)! for all integers n >= 1. For example, S3 = 4! = (4)(3)(2)(1). Which of the following is equivalent to the difference between S100 and S99? | A. 101! B. 100! C. 99^2(98!) D. 100^2(99!) E. (100!)2 | D. 100^2(99!) | According to this Symbolism question, we're asked to figure out S100 - S99. According to the description of the symbol in the question, we're asked to figure out:
101! - 100!
Both these terms have something in common: 100! so we can factor that out of each piece...
101! - 100!
100!(101 - 1)
Simplifying the parentheses,... | college_mathematics | mathematics |
NLP4Education_611 | NLP4Education | Tick the \emph{correct} assertion. The maximum advantage of an \textbf{adaptive} distinguisher limited to $q$ queries between two random functions $F$ and $F^*$ is always\dots
A. $\frac{1}{2}\left|\left|[F]^q - [F^*]^q \right|\right|_{\infty}$.
B. $\frac{1}{2}\left|\left|[F]^q - [F^*]^q \right|\right|_{a}$.
C. $1$ when... | B. $\frac{1}{2}\left|\left|[F]^q - [F^*]^q \right|\right|_{a}$. | computer_security | computer_science | ||
math_920 | math_mc | Triangle $ABC$ has $AC = 450$ and $BC = 300$. Points $K$ and $L$ are located on $\overline{AC}$ and $\overline{AB}$ respectively so that $AK = CK$, and $\overline{CL}$ is the angle bisector of angle $C$. Let $P$ be the point of intersection of $\overline{BK}$ and $\overline{CL}$, and let $M$ be the point on line $BK$ f... | D | math_Geometry | mathematics | ||
mmlu_aux_train_95597 | mmlu_aux_train | For it to survive, the horse relied on its owner to bring it
A. a harness
B. a lead.
C. grain
D. a saddle | C. grain | high_school_biology | biology | ||
math_1367 | math_mc | In the coordinate plane, the curve $xy = 1$ intersects a circle at four points, three of which are $\left( 2, \frac{1}{2} \right),$ $\left( -5, -\frac{1}{5} \right),$ and $\left( \frac{1}{3}, 3 \right).$ Find the fourth point of intersection. | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_98263 | mmlu_aux_train | if the particles in an electric rig were immobile, what would result from that?
A. there will be a shock current
B. the circuit will fail to power
C. there would be a short circuit
D. there would be current overload | B. the circuit will fail to power | conceptual_physics | physics | ||
mmlu_aux_train_60751 | mmlu_aux_train | Over the next 20 to 50 years, it will become harder to tell the difference between the human and the machine. All body parts will be replaceable. A computer will function like the human brain with the ability to recognize feelings and respond with emotions. They can then make fake people. We will then be able to create... | B. What it will be like if people are duplicated. | machine_learning | computer_science | ||
mmlu_aux_train_55610 | mmlu_aux_train | After years of research and testing, the hybrid car was developed and put on the market. It's an interesting and exciting new improvement in today's world as we look for better ways to protect the quality of the air we breathe and conserve our natural resources. The quality of our air is affected by many different thin... | D. a combination of two things | high_school_physics | physics | ||
allenai/sciq_704 | allenai/sciq | What is the thick fluid in the space between bones that cushions the joint?
A. synovial fluid
B. amniotic fluid
C. collagen
D. interstitial fluid | A. synovial fluid | Movable joints are also known as synovial joints. This is because the space between the bones is filled with a thick fluid, called synovial fluid, that cushions the joint (see Figure below ). | college_biology | biology | |
aquarat_28517 | deepmind/aqua_rat | Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common shares both of par value Rs. 50 each if the dividend paid on preferred shares is 10% and semi-annual dividend of 3½ % is declared on common shares. | A. 16000 B. 16500 C. 17000 D. 17500 E. 18000 | B. 16500 | Total number of preferred shares = 1200
Face value = Rs.50
dividend paid on preferred shares is 10%
Dividend per share = 50×10/100 = Rs.5
Total Dividend = 1200 × 5 = 6000
Total number of common shares = 3000
Face value = Rs.50
Semi-annual dividend of 3½ % is declared on common shares.
semi-annual dividend per share = 5... | college_mathematics | mathematics |
pythonio_511 | pythonio-mc | Program:
def find_first_occurrence(A, x):
(left, right) = (0, len(A) - 1)
result = -1
while left <= right:
mid = (left + right) // 2
if x == A[mid]:
result = mid
right = mid - 1
elif x < A[mid]:
right = mid - 1
else:
... | D | code | computer_science | ||
aquarat_2965 | deepmind/aqua_rat | Calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length, if the speed of the train is 65 km/hour ? | A. 20 seconds B. 4 seconds C. 31.04 seconds D. 11.04 seconds E. 21.04 seconds | E. 21.04 seconds | Speed = 65 Km/hr = 65*(5/18) m/sec = 18.06 m/sec
Total distance = 200+180 = 380 meter
Time = Distance/speed
= 380 * (100/1806) = 21.04 seconds
Answer: E | high_school_physics | physics |
aquarat_42121 | deepmind/aqua_rat | If a certain sample of data has a mean of 25.0 and the value 36.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample | A. 3.75 B. 3.5 C. 3.25 D. 3.0 E. 4.35 | E. 4.35 | 36.0 is more than 2.5 standard deviations from 25 --> 36 > 25 + 2.5*{SD} --> 2.5*{SD} < 11 --> {SD} < 4.4. Only option E offers the standard deviation less than 4.4.
Answer: E. | high_school_statistics | mathematics |
allenai/sciq_2327 | allenai/sciq | If both atoms are the same, they have the same electronegativity and share what type of bond?
A. isotopic covalent
B. nonpolar covalent
C. ionic
D. metabolic | B. nonpolar covalent | high_school_chemistry | chemistry | ||
NLP4Education_759 | NLP4Education | Let $\mathcal{C}$ be a $(n,k)$ Reed-Solomon code on $\mathbb{F}_q$. Let $\mathcal{C}'$ be the $(2n,k)$ code such that each codeword of $\mathcal{C}'$ is a codeword of $\mathcal{C}$ repeated twice, i.e., if $(x_1,\dots,x_n) \in\mathcal{C}$, then $(x_1,\dots,x_n,x_1,\dots,x_n)\in\mathcal{C'}$. What is the minimum distanc... | A. $2n-2k+2$ | abstract_algebra | mathematics | ||
mmlu_aux_train_71427 | mmlu_aux_train | Earthquakes may happen anywhere on the earth. When some plates of the earth move suddenly, an earthquake happens. Many earthquakes begin under the sea. They often happen near the mountains , too. During an earthquake, the shakings make rocks rise suddenly and even crack open. Houses fall, people are killed or hurt, ... | A. that there are so many plates on the earth | earth_science | earth_science | ||
math_1185 | math_mc | Let $a, b, c$, and $d$ be positive real numbers such that
\[\begin{array}{c@{\hspace{3pt}}c@{\hspace{3pt}}c@{\hspace{3pt}}c@{\hspace{3pt}}c}a^2+b^2&=&c^2+d^2&=&2008,\\ ac&=&bd&=&1000.\end{array}\]
If $S=a+b+c+d$, compute the value of $\lfloor S\rfloor$.
| D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_3249 | allenai/sciq | Besides greenland, where are the earth's largest ice sheets found?
A. Europe
B. North America
C. Asia
D. antarctica | D. antarctica | Nearly all glacial ice is in the polar regions. The largest ice sheets are in Antarctica and Greenland. The remaining 1% of Earth's ice is found elsewhere, like in the mountains, for example. At higher altitudes, temperatures are colder. Snow is more likely to fall and not melt. Except Australia, every continent has gl... | astronomy | physics | |
allenai/sciq_1227 | allenai/sciq | What do you call a lens that causes the light rays to bend away from its axis?
A. converging lens
B. diverging lens
C. optical lens
D. axilens | B. diverging lens | • A lens that causes the light rays to bend away from its axis is called a diverging lens. • Ray tracing is the technique of graphically determining the paths that light rays take. • The image in which light rays from one point on the object actually cross at the location of the image and can be projected onto a screen... | conceptual_physics | physics | |
pythonio_476 | pythonio-mc | Program:
def alternate_elements(list1):
result=[]
for item in list1[::2]:
result.append(item)
return result
Input:
alternate_elements([2, 0, 3, 4, 0, 2, 8, 3, 4, 2])
Output: | A | code | computer_science | ||
mmlu_aux_train_52937 | mmlu_aux_train | Researchers have found more evidence that suggests a relationship between races and rates of lung cancer among smokers. A new study shows that black people and Native Hawaiians are more likely to develop lung cancer from smoking. It compared their risk to whites, Japanese-Americans and Latinos. Researchers at the Unive... | B. Africans--Americans--Latinos | college_biology | biology | ||
allenai/sciq_222 | allenai/sciq | How many naturally occurring elements are known on earth?
A. 90
B. 87
C. 85
D. 60 | A. 90 | An element, as defined in Chapter 1 "Chemistry, Matter, and Measurement", is a substance that cannot be broken down into simpler chemical substances. There are about 90 naturally occurring elements known on Earth. Using technology, scientists have been able to create nearly 30 additional elements that do not occur in n... | high_school_chemistry | chemistry | |
pythonio_829 | pythonio-mc | Program:
import re
def extract_date(url):
return re.findall(r'/(\d{4})/(\d{1,2})/(\d{1,2})/', url)
Input:
extract_date("https://www.indiatoday.in/movies/celebrities/story/wp/2020/11/03/odeof-sushant-singh-rajput-s-death-his-brother-in-law-shares-advice-for-fans-1749646/")
Output: | A | code | computer_science | ||
mmlu_aux_train_94508 | mmlu_aux_train | Which of the following can only be seen with a telescope?
A. the moon-like phases of Venus
B. the phases of Earth's moon
C. a lunar eclipse
D. a solar eclipse | A. the moon-like phases of Venus | astronomy | physics | ||
NLP4Education_101 | NLP4Education | Which attribute gives the best split?A1PNa44b44A2PNx51y33A3PNt61j23
A. A1
B. A2
C. A3
D. All the same | C. A3 | machine_learning | computer_science | ||
NLP4Education_385 | NLP4Education | One-time pad ...
A. never uses a key $K$ which is picked from a uniform distribution.
B. pads the message at least once before encryption.
C. allows an efficient key management.
D. uses an invertible group operation such as ``$\oplus$" for encryption. | D. uses an invertible group operation such as ``$\oplus$" for encryption. | computer_security | computer_science | ||
pythonio_534 | pythonio-mc | Program:
def rotate_right(list1,m,n):
result = list1[-(m):]+list1[:-(n)]
return result
Input:
rotate_right([1, 2, 3, 4, 5, 6, 7, 8, 9, 10],3,4)
Output: | B | code | computer_science | ||
mmlu_aux_train_65280 | mmlu_aux_train | After the "Big Bang ",the earth was just a cloud of energetic dust. What it was to become was a mystery until the dust began to slowly combine into a ball moving around the sun. The problem was that the earth became violent because it was not clear whether the solid shape was to last or not. It exploded loudly with fir... | B. The water remained. | astronomy | physics | ||
allenai/sciq_7060 | allenai/sciq | Alcohols can be oxidized to aldehydes or _______.
A. sugars
B. sugars
C. carbohydrates
D. ketones | D. ketones | Alcohols can be oxidized to aldehydes or ketones. | high_school_chemistry | chemistry | |
pythonio_810 | pythonio-mc | Program:
def Extract(lst):
return [item[-1] for item in lst]
Input:
Extract([['x', 'y', 'z'], ['m'], ['a', 'b'], ['u', 'v']])
Output: | C | code | computer_science | ||
allenai/sciq_10840 | allenai/sciq | Ginkgo trees are gymnosperms with broad?
A. roots
B. trunks
C. leaves
D. fruits | C. leaves | Ginkgo trees are gymnosperms with broad leaves. | high_school_biology | biology | |
mmlu_aux_train_92860 | mmlu_aux_train | What should a student do when a glass beaker shatters during a laboratory experiment?
A. Notify the teacher.
B. Sweep the pieces into a pile.
C. Pick up the pieces and throw them away.
D. Leave it until the experiment is complete. | A. Notify the teacher. | college_chemistry | chemistry | ||
NLP4Education_801 | NLP4Education | Let P be the statement ∀x(x > -3 → x > 3). Determine for which domain P evaluates to true:
A. -3 < x < 3
B. x > -3
C. x > 3
D. None of the other options | C. x > 3 | formal_logic | mathematics | ||
math_806 | math_mc | In the diagram below, points $A$, $B$, $C$, and $P$ are situated so that $PA=2$, $PB=3$, $PC=4$, and $BC=5$. What is the maximum possible area of $\triangle ABC$? [asy]
defaultpen(linewidth(0.8)); size(150);
pair B = (0,0), C = (5,0), A = (2,3), P = (2.2,2);
draw(A--B--C--cycle^^B--P^^C--P^^A--P);
label("$A$",A,N); lab... | B | math_Geometry | mathematics | ||
math_2181 | math_mc | Let $P$ be a point on the line
\[\begin{pmatrix} 3 \\ -1 \\ 2 \end{pmatrix} + t \begin{pmatrix} 2 \\ -2 \\ 1 \end{pmatrix}\]and let $Q$ be a point on the line
\[\begin{pmatrix} 0 \\ 0 \\ 4 \end{pmatrix} + s \begin{pmatrix} 1 \\ 2 \\ -1 \end{pmatrix}.\]Find the shortest possible distance $PQ.$ | B | math_Precalculus | mathematics | ||
mmlu_aux_train_30928 | mmlu_aux_train | Big messaging apps abroad While WeChat is China's biggest mobile messaging app , there are many equivalent apps in other countries that offer similar features. WhatsApp (US) Users: more than 300 million Platforms: Android, iOS, Windows Phone, BlackBerry Features: text chats, pushtotalk, file sharing, location sharing ... | A. Group mobile games. | computer_security | computer_science |
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