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_37701 | mmlu_aux_train | CANBERRA (Reuters Life!) - Think twice before eating those dropped crumbs off your computer keyboard -- you might as well be eating off a toilet seat, according to a new study on the amount of germs on keyboards. A study by British "Which? Computing" asked a microbiologist to examine for bugs on 33 keyboards in a typic... | B. warn people to clean the keyboards often. | high_school_biology | biology | ||
math_2118 | math_mc | Find the number of ordered pairs $(a,b)$ of complex numbers such that
\[a^3 b^5 = a^7 b^2 = 1.\] | A | math_Precalculus | mathematics | ||
pythonio_714 | pythonio-mc | Program:
def get_inv_count(arr, n):
inv_count = 0
for i in range(n):
for j in range(i + 1, n):
if (arr[i] > arr[j]):
inv_count += 1
return inv_count
Input:
get_inv_count([8, 4, 2, 1], 4)
Output: | D | code | computer_science | ||
allenai/sciq_1265 | allenai/sciq | Elements are pure substances that make up what?
A. some matter
B. Objects
C. Solids
D. all matter | D. all matter | Elements are pure substances that make up all matter, so each one is given a unique name. The names of elements are also represented by unique one-, two-, or three- letter symbols. | high_school_chemistry | chemistry | |
aquarat_68667 | deepmind/aqua_rat | If each data point in a certain set Q is increased by a factor of 5, what happens with the set's standard deviation? | A. Doesn't Change B. Decreases by Factor 5 C. Increases by Factor 5 D. Increases by 5 E. Can't be determined | C. Increases by Factor 5 | Standard deviation questions will always be conceptual in nature, because the GMAT does not require that you be able to calculate standard deviation.Veritasteaches a concept known as themapping strategyfor data sufficiency, which helps make a problem like this easily understandable. The mapping strategy is just looking... | high_school_statistics | mathematics |
mmlu_aux_train_95757 | mmlu_aux_train | The moon reflects sunlight to arrive at
A. the moon
B. the ocean
C. orbiting satellites
D. the space station | B. the ocean | astronomy | physics | ||
allenai/sciq_9469 | allenai/sciq | What is a dip slip fault where the dip of the fault plane is vertical?
A. strike - theory
B. incline slip
C. strike-slip
D. reverse slip | C. strike-slip | A strike-slip fault is a dip-slip fault where the dip of the fault plane is vertical. Strike-slip faults result from shear stresses. If you stand with one foot on each side of a strike-slip fault, one side will be moving toward you while the other side moves away from you. If your right foot moves toward you, the fault... | college_geology | earth_science | |
math_245 | math_mc | Let $f(x)=3x+4$ and $g(x)=2x-3$. If $h(x)=f(g(x))$, then what is the inverse of $h(x)$? | B | math_Algebra | mathematics | ||
mmlu_aux_train_97028 | mmlu_aux_train | A person can see a large pollutant source when looking at
A. trash heaps
B. land tracts
C. bottle deposits
D. water droplets | A. trash heaps | high_school_biology | biology | ||
aquarat_74958 | deepmind/aqua_rat | Set A is {1, 3, 5, 7, 9}
Set B is {10, 12, 14, 16, 18}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A. | A. I only B. I and II only C. I and III only D. II and III only E. I, II, and III | B. I and II only | The mean and median of Set A is 5.
The mean and median of Set B is 14.
Thus statements I and II are both true.
The standard deviation is related to the distance from the mean.
Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.
The answe... | high_school_statistics | mathematics |
NLP4Education_522 | NLP4Education | Pick the \emph{correct} statement.
A. An isomorphism is defined as a bijective homomorphism.
B. A homomorphism is defined as a bijective isomorphism.
C. An isomorphism is any homomorphism \( h: X\rightarrow X \).
D. A homomorphism is any non-bijective isomorphism. | A. An isomorphism is defined as a bijective homomorphism. | abstract_algebra | mathematics | ||
math_66 | math_mc | Chewbacca has 20 pieces of cherry gum and 30 pieces of grape gum. Some of the pieces are in complete packs, while others are loose. Each complete pack has exactly $x$ pieces of gum. If Chewbacca loses one pack of cherry gum, then the ratio of the number of pieces of cherry gum he has to the number of pieces of grape ... | B | math_Algebra | mathematics | ||
aquarat_66852 | deepmind/aqua_rat | In a certain random experiment, exactly one of the outcomes A, B, and J 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,2J 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/J; Second in 3 diff ways ag... | high_school_statistics | mathematics |
mmlu_aux_train_53393 | mmlu_aux_train | It's Friday morning in the year 2025, and you're running late. You got distracted watching the music video that as playing in the corner of your bathroom mirror while you were brushing your teeth. How will you get to your office at Mega Giga Industries on time? A quick check of your Internet-connected refrigerator magn... | A. show picture the life of the future | conceptual_physics | physics | ||
pythonio_781 | pythonio-mc | Program:
def fibonacci(n):
if n == 1 or n == 2:
return 1
else:
return (fibonacci(n - 1) + (fibonacci(n - 2)))
Input:
fibonacci(8)
Output: | C | code | computer_science | ||
mmlu_aux_train_65458 | mmlu_aux_train | Going to sleep may seem pretty boring compared with all the fun things you do while you are awake. But there's a lot going on in your mind and body while you are sleeping. Sleep, in fact, is as important to your survival as eating and drinking. Sleep improves your mood, makes you a better athlete, and helps you remembe... | A. improving your mood | high_school_biology | biology | ||
math_694 | math_mc | At the end of a professional bowling tournament, the top 5 bowlers have a playoff. First #5 bowls #4. The loser receives $5$th prize and the winner bowls #3 in another game. The loser of this game receives $4$th prize and the winner bowls #2. The loser of this game receives $3$rd prize and the winner bowls #1. The winn... | B | math_Counting & Probability | mathematics | ||
NLP4Education_435 | NLP4Education | Tick the \textbf{true} statement regarding $\mathbb{Z}_p^*$, where $p$ is an arbitrary prime number.
A. It is a group of prime order when $p>3$.
B. It has $\varphi(p-1)$ generators.
C. For any $x \in \mathbb{Z}_p^*$ we have $x^{p}=1 \pmod p$.
D. It is isomorphic to $\mathbb{Z}_n^*$ for all $n >0$. | B. It has $\varphi(p-1)$ generators. | abstract_algebra | mathematics | ||
math_1034 | math_mc | Consider the set of points that are inside or within one unit of a rectangular parallelepiped (box) that measures $3$ by $4$ by $5$ units. Given that the volume of this set is $\frac{m + n\pi}{p},$ where $m, n,$ and $p$ are positive integers, and $n$ and $p$ are relatively prime, find $m + n + p.$
| D | math_Geometry | mathematics | ||
allenai/sciq_11119 | allenai/sciq | What are changes in makeup and chemical properties of matter called?
A. radical changes
B. chemical changes
C. mineral changes
D. carbonate changes | B. chemical changes | Chemical changes are changes in the makeup and chemical properties of matter. An example of a chemical change is wood burning. | high_school_chemistry | chemistry | |
aquarat_70277 | deepmind/aqua_rat | Suppose that there is a rubber ball which has a property of bouncing back to the original height from which it was dropped and it keeps doing that until it is stopped by any external force.
Can you calculate the fraction of height to which the ball would have bounced if it has bounced four times after dropping from a c... | A. 16/81 B. 15/90 C. 18/88 D. 15/79 E. 13/85 | A. 16/81 | A
16/81
Explanation:
It is a question of geometric progression but we can solve it step by step as well in case you are not aware of the formula.
At first bounce
The height at which the ball would have reached = 2/3 of the original height from which it was dropped.
At second bounce
The height at which the ball would ha... | conceptual_physics | physics |
NLP4Education_502 | NLP4Education | Let $H$ be a hash function based on the Merkle-Damg{\aa}rd construction. The Merkle-Damg{\aa}rd theorem says that \dots
A. $H$ is collision-resistant when the compression function is collision-resistant.
B. The compression function is collision-resistant when $H$ is collision-resistant.
C. $H$ is always collision-resis... | A. $H$ is collision-resistant when the compression function is collision-resistant. | computer_security | computer_science | ||
mmlu_aux_train_70927 | mmlu_aux_train | Have you ever seen a horse with toes? Millions of years ago, horses had many toes. They had four toes on each front foot. They had three toes on each back foot. The horses were smaller than cats. These small horses lived in the forest. Their many toes helped the horses run over the soft wet ground. It was very hot in t... | B. front feet | high_school_biology | biology | ||
math_715 | math_mc | Two circles of radius 2 are centered at $(2,0)$ and at $(0,2)$. What is the area of the intersection of the interiors of the two circles? Express your answer in fully expanded form in terms of $\pi$. | C | math_Geometry | mathematics | ||
aquarat_37194 | deepmind/aqua_rat | Which of the following can be a perimeter r of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100 | A. I only B. III only C. II and III only D. I, II, and III E. Not I, II, or III | D. I, II, and III | Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: r>0.
Answer... | college_mathematics | mathematics |
mmlu_aux_train_29670 | mmlu_aux_train | A class with tens or even hundreds of thousands of students might sound like a teacher's bad dream. But a big idea in higher education these days is the massive open online course, or MOOC. Some universities offer free, non-credit MOOCs available to anyone in the world. Others charge for courses and provide credits. Th... | A. Not all of them are free. | high_school_computer_science | computer_science | ||
allenai/sciq_1014 | allenai/sciq | What term is used for any combination of two or more atoms?
A. molecule
B. element
C. synthesis
D. nucleus | A. molecule | A molecule is any combination of two or more atoms. The oxygen in the air we breathe is two oxygen atoms connected by a chemical bond to form O 2 , or molecular oxygen. A carbon dioxide molecule is a combination of one carbon atom and two oxygen atoms, CO 2 . Because carbon dioxide includes two different elements, it i... | high_school_chemistry | chemistry | |
math_165 | math_mc | Find all $c$ which satisfy $$\frac{c}{3} \le 2+c < -2(1+c).$$Express your answer in interval notation, simplifying any fractions which occur in your answer. | D | math_Algebra | mathematics | ||
mmlu_aux_train_83266 | mmlu_aux_train | India has a population of 1.27 billion. Its population is the second largest in the world. China has the largest population of over 1.36 billion. One out of six people on this planet live in India. Although, the crown of the world's most populous country is on China's head for ten years. India will take the _ by 20... | D. 1.27 billion | high_school_statistics | mathematics | ||
pythonio_752 | pythonio-mc | Program:
def count_list(input_list):
return (len(input_list))**2
Input:
count_list([[2, 4], [[6,8], [4,5,8]], [10, 12, 14]])
Output: | A | code | computer_science | ||
mmlu_aux_train_26670 | mmlu_aux_train | With only two weeks to go before Christmas, buying presents is a lug priority for a lot of people. However, this year not so many people are leaving their homes to browse around the shops. These days lots of people do their shopping in the comfort of their own home with the help of the Internet. Online shopping is ... | C. Because they go shopping on the lnternet. | high_school_computer_science | computer_science | ||
pythonio_6 | pythonio-mc | Program:
import heapq as hq
def heap_queue_largest(nums,n):
largest_nums = hq.nlargest(n, nums)
return largest_nums
Input:
heap_queue_largest( [25, 35, 22, 85, 14, 65, 75, 22, 58],3)
Output: | B | code | computer_science | ||
allenai/sciq_6320 | allenai/sciq | The boiling points of liquid also correlate to the strength of which forces?
A. supramolecular
B. intermolecular
C. centrifugal
D. gravitational | B. intermolecular | The boiling points of liquid also correlate to the strength of the intermolecular forces. Recall that diethyl ether has weak dispersion forces, which meant that the liquid has a high vapor pressure. The weak forces also mean that it does not require a large an input of energy to make diethyl ether boil and so it has a ... | high_school_chemistry | chemistry | |
math_768 | math_mc | A solid in the shape of a right circular cone is 4 inches tall and its base has a 3-inch radius. The entire surface of the cone, including its base, is painted. A plane parallel to the base of the cone divides the cone into two solids, a smaller cone-shaped solid $C$ and a frustum-shaped solid $F,$ in such a way that t... | C | math_Geometry | mathematics | ||
math_858 | math_mc | Triangle $ABC$ has side lengths $AB=120,BC=220$, and $AC=180$. Lines $\ell_A,\ell_B$, and $\ell_C$ are drawn parallel to $\overline{BC},\overline{AC}$, and $\overline{AB}$, respectively, such that the intersections of $\ell_A,\ell_B$, and $\ell_C$ with the interior of $\triangle ABC$ are segments of lengths $55,45$, an... | C | math_Geometry | mathematics | ||
math_1330 | math_mc | Given any two positive real numbers $x$ and $y$, then $x \, \Diamond \, y$ is a positive real number defined in terms of $x$ and $y$ by some fixed rule. Suppose the operation $x \, \Diamond \, y$ satisfies the equations $(xy) \, \Diamond \, y=x(y \, \Diamond \, y)$ and $(x \, \Diamond \, 1) \, \Diamond \, x = x \, \Di... | D | math_Intermediate Algebra | mathematics | ||
math_1151 | math_mc | The line $y - x \sqrt{3} + 3 = 0$ intersects the parabola $2y^2 = 2x + 3$ at points $A$ and $B.$ Let $P = (\sqrt{3},0).$ Find $|AP - BP|.$ | C | math_Intermediate Algebra | mathematics | ||
pythonio_320 | pythonio-mc | Program:
import re
def remove_parenthesis(items):
for item in items:
return (re.sub(r" ?\([^)]+\)", "", item))
Input:
remove_parenthesis(["python (chrome)"])
Output: | A | code | computer_science | ||
math_1475 | math_mc | Let $\mathcal P$ be a parabola, and let $V_1$ and $F_1$ be its vertex and focus, respectively. Let $A$ and $B$ be points on $\mathcal P$ so that $\angle AV_1 B = 90^\circ$. Let $\mathcal Q$ be the locus of the midpoint of $\overline{AB}$. It turns out that $\mathcal Q$ is also a parabola, and let $V_2$ and $F_2$ denote... | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_6561 | allenai/sciq | What is the number placed in front of a chemical symbol or formula that shows how many atoms or molecules of the substance are involved in the reaction?
A. note
B. coefficient
C. requirement
D. frequency | B. coefficient | Coefficients are used to balance chemical equations. A coefficient is a number placed in front of a chemical symbol or formula. It shows how many atoms or molecules of the substance are involved in the reaction. | high_school_chemistry | chemistry | |
aquarat_80712 | deepmind/aqua_rat | A researcher computed the mean, the median, and the standard deviation W for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change? | A. The mean only B. The median only C. The standard deviation only D. The mean and the median E. The mean and the standard deviation | D. The mean and the median | If we add or subtract a constant to each term in a set the standard deviation W will not change..
If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.
Answer: D. | high_school_statistics | mathematics |
pythonio_137 | pythonio-mc | Program:
def Find_Max_Length(lst):
maxLength = max(len(x) for x in lst )
return maxLength
Input:
Find_Max_Length([[1],[1,4],[5,6,7,8]])
Output: | D | code | computer_science | ||
NLP4Education_378 | NLP4Education | Tick the \textbf{false} statement. Moore's Law ...
A. is partly a reason why some existing cryptosystems are insecure.
B. was stated by the founder of Intel.
C. assumes the number of transistors per CPU increases exponentially fast with time.
D. implies that the heat generated by transistors of CPU doubles every 18 mon... | D. implies that the heat generated by transistors of CPU doubles every 18 months. | computer_security | computer_science | ||
mmlu_aux_train_52897 | mmlu_aux_train | Humans are well-equipped for life on Earth. But in space, it is different. Low or _ changes how the blood flows and causes motion sickness, muscle loss and tiredness. Weightlessness can also cause bone loss. But scientists are experimenting with little worms to better understand how space travel affects astronauts. The... | D. has a short life period | high_school_biology | biology | ||
math_1446 | math_mc | Let $(a,b,c,d)$ be a solution to the system\begin{align*}a+b&=15,\\ab+c+d&=78,\\ad+bc&=160,\\cd&=96.\end{align*}Find the greatest possible value of $a^2+b^2+c^2+d^2$.
| B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_6894 | allenai/sciq | Group 13 of the periodic table is also called what?
A. iron group
B. nitrogen group
C. manganese group
D. the boron group | D. the boron group | Group 13 of the periodic table is also called the boron group because boron (B) is the first element at the top of the group (see Figure below ). Boron is also the only metalloid in this group. The other four elements in the group—aluminum (Al), gallium (Ga), indium (In), and thallium (Tl)—are all metals. Group 13 elem... | high_school_chemistry | chemistry | |
NLP4Education_580 | NLP4Education | Moore's Law ...
A. is an empirical law.
B. states that computer speed halves every year.
C. ensures that AES encryption is obsolete.
D. was introduced to discourage use of SHA-1. | A. is an empirical law. | computer_security | computer_science | ||
NLP4Education_787 | NLP4Education | Let $G$, be a valid generator matrix of dimensions $\mathbb F^{k \times n}$. Recall that ``valid'' means that $k \leq n$ and $\text{rank}(G) = k$. Let $D_1 \in \mathbb F^{k \times k}$ and $D_2 \in \mathbb F^{n \times n}$ be diagonal matrices with non-zero diagonal elements. True or false: $D_1 \cdot G \cdot D_2$ is als... | A. True, because diagonal matrices with nonzero entries are invertible so validity is preserved. | abstract_algebra | mathematics | ||
aquarat_37544 | deepmind/aqua_rat | Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j ??? | A. a,b B. a,c C. b,c D. a,d E. b,d | B. a,c | a. 3i+2j
and
c. 2i-3j
are orthogonal pair.
as the dot product of two vectors is zero;so they are orthogonal.
ANSWER:B | college_mathematics | mathematics |
math_214 | math_mc | The values of $x$ and $y$ are always positive, and $x^2$ and $y$ vary inversely. If $y$ is 10 when $x$ is 2, then find $x$ when $y$ is 4000. | C | math_Algebra | mathematics | ||
aquarat_88660 | deepmind/aqua_rat | If Yury has been writing programming code for 16 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written? | A. 126(10^2) B. 126(10^3) C. 144(10^2) D. 1.26(10^7) E. .126(10^9) | C. 144(10^2) | 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
16 HOURS = 900 X 16 = 144(10^2)
ANSWER C | coding | computer_science |
mmlu_aux_train_10492 | mmlu_aux_train | For 40 years, the people of London have been happy to discover in their parks a bird that seems to have made its way from the Himalayas to the capital of England. With its shocking green body, red mouth, long tail and noisy screech , the rose-ringed parakeet brought a vivid colour to parks in and around London. Howev... | A. the local birds are being driven out | high_school_biology | biology | ||
pythonio_631 | pythonio-mc | Program:
def last(arr,x,n):
low = 0
high = n - 1
res = -1
while (low <= high):
mid = (low + high) // 2
if arr[mid] > x:
high = mid - 1
elif arr[mid] < x:
low = mid + 1
else:
res = mid
low = mid + 1
return... | A | code | computer_science | ||
pythonio_536 | 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],5,2)
Output: | C | code | computer_science | ||
math_64 | math_mc | For how many positive integral values of $a$ is it true that $x = 2$ is the only positive integer solution of the system of inequalities $$
\begin{cases}
2x>3x-3\\
3x-a>-6
\end{cases}
$$ | C | math_Algebra | mathematics | ||
allenai/sciq_7097 | allenai/sciq | Gated ion channels have a central role in what system's function?
A. skeletal
B. endocrine
C. generous
D. nervous | D. nervous | college_biology | biology | ||
allenai/sciq_1434 | allenai/sciq | About how many days does it take the moon to make one orbit around the earth?
A. 21
B. 30
C. 22
D. 28 | D. 28 | The Moon does not produce any light of its own. It only reflects light from the Sun. The Moon has phases because it orbits around Earth. One orbit takes about 28 days. As the moon moves around Earth, different parts of it appear to be lit up by the Sun. The Moon sometimes appears fully lit and sometimes completely dark... | astronomy | physics | |
aquarat_13484 | deepmind/aqua_rat | Find the one which does not belong to that group ? | A. 16 B. 28 C. 36 D. 64 E. 4 | C. 36 | Explanation:
16, 36, 64 and 4 are perfect squares but not 28.
ANSWER IS C | formal_logic | mathematics |
allenai/sciq_4792 | allenai/sciq | What is the term for the force applied to a wheel and axle?
A. output force
B. velocity force
C. momentum
D. input force | D. input force | In a wheel and axle, force may be applied either to the wheel or to the axle. This force is called the input force. A wheel and axle does not change the direction of the input force. However, the force put out by the machine, called the output force, is either greater than the input force or else applied over a greater... | conceptual_physics | physics | |
mmlu_aux_train_2028 | mmlu_aux_train | A student observes zinc turning from a solid to a liquid in a laboratory investigation. Which statement describes the change in zinc atoms while melting?
A. The mass of the zinc atoms decreased.
B. The zinc atoms lost their relative fixed position.
C. The zinc atoms were changed into atoms of another element.
D. The s... | B. The zinc atoms lost their relative fixed position. | high_school_chemistry | chemistry | ||
allenai/sciq_2361 | allenai/sciq | Reactive elements are able to combine more what with other elements?
A. slowly
B. symmetrically
C. easily
D. quickly | C. easily | Reactive elements combine easily with other elements. This explains why they usually exist in nature in compounds rather than in pure form. | high_school_chemistry | chemistry | |
pythonio_319 | pythonio-mc | Program:
def sample_nam(sample_names):
sample_names=list(filter(lambda el:el[0].isupper() and el[1:].islower(),sample_names))
return len(''.join(sample_names))
Input:
sample_nam(["abcd", "Python", "abba", "aba"])
Output: | D | code | computer_science | ||
aquarat_22653 | deepmind/aqua_rat | If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/12 then b= ? | A. -1/6 B. 1/6 C. 6 D. -6 E. 3 | D. -6 | f(a) = -1/2 = -1/a, and thus a = 2
f(ab) = 1/12, and thus ab = -12
2b = -12
b = -6
The answer is D. | college_mathematics | mathematics |
NLP4Education_648 | NLP4Education | Let $C$ be a perfect cipher with $\ell$-bit blocks. Then, …
A. For $x_1 \neq x_2$, $\Pr[C(x_1) = y_1, C(x_2)=y_2] = \frac{1}{2^{2\ell}}$.
B. The size of the key space of $C$ should be at least $(2^{\ell}!)$.
C. Given pairwise independent inputs to $C$, the corresponding outputs are necessarily independent and uniformly... | B. The size of the key space of $C$ should be at least $(2^{\ell}!)$. | computer_security | computer_science | ||
aquarat_53372 | deepmind/aqua_rat | A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? | A. 2% B. 5% C. 14% D. 28% E. 63% | B. 5% | case 1: (7/80)=x/100
x=9%
case 2: (9/63)=y/100
y=14%
So percent increase is =(y-x)=(14-9)%=5%
Answer is B | high_school_statistics | mathematics |
mmlu_aux_train_9601 | mmlu_aux_train | American scientists are developing an "intelligent" mobile phone capable of blocking incoming calls depending on the owner's mood. Using "context aware" technology, the "Sensay" phone will monitor calls and send back polite messages saying the user may be contacted later. A research team at the Institute for Complex En... | C. showing body temperature | college_computer_science | computer_science | ||
allenai/sciq_6790 | allenai/sciq | The nature of what gives metals the properties of being ductile and malleable?
A. magneticism
B. liquid bonds
C. metallic bonds
D. titanium bonds | C. metallic bonds | Because of their freely moving electrons, metals are good conductors of electricity. Metals also can be shaped without breaking. They are ductile (can be shaped into wires) and malleable (can be shaped into thin sheets). Metals have these properties because of the nature of their metallic bonds. | high_school_chemistry | chemistry | |
allenai/sciq_6458 | allenai/sciq | Name a passageway that is shared with the digestive system.
A. pharynx
B. esophagus
C. larynx
D. trachea | A. pharynx | Next, air passes through the pharynx, a passageway that is shared with the digestive system. From the pharynx, the air passes next through the larynx, or voice box. | anatomy | biology | |
mmlu_aux_train_21621 | mmlu_aux_train | John von Neumann was the oldest of 3 children of an banker, and his speed of learning new ideas and solving problems stood out early. At 17, his father tired to persuade him not to become a mathematician because he may lead a poor life being a mathematician, and so von Neumann agreed to study chemistry as well. In 1926... | A. a mathematician couldn't earn a lot of money | college_mathematics | mathematics | ||
allenai/sciq_7800 | allenai/sciq | What is the largest of the sinuses?
A. superior sagittal sinus
B. Maxillary sinus
C. Sphenoid sinus
D. Frontal sinus | A. superior sagittal sinus | Venous Drainage of the Brain Circulation to the brain is both critical and complex (see Figure 20.37). Many smaller veins of the brain stem and the superficial veins of the cerebrum lead to larger vessels referred to as intracranial sinuses. These include the superior and inferior sagittal sinuses, straight sinus, cave... | anatomy | biology | |
aquarat_8803 | deepmind/aqua_rat | The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 77 on the exam is in what percentile of the school?
Choices | A. 63rd percentile B. 68th percentile C. 84th percentile D. 96th percentile E. 98th percentile | D. 96th percentile | (78-65)/6.5 = 2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2 = 96th percentile
D | high_school_statistics | mathematics |
allenai/sciq_8747 | allenai/sciq | A more crucial use of rc circuits for timing purposes is in the artificial pacemaker, used to control what?
A. breathing rate
B. heart rate
C. iron levels
D. blood pressure | B. heart rate | A more crucial use of RC circuits for timing purposes is in the artificial pacemaker, used to control heart rate. The heart rate is normally controlled by electrical signals generated by the sino-atrial (SA) node, which is on the wall of the right atrium chamber. This causes the muscles to contract and pump blood. Some... | electrical_engineering | engineering | |
allenai/sciq_920 | allenai/sciq | What are the rolling motions during an earthquake called?
A. tidal waves
B. velocity waves
C. seismic thrusts
D. surface waves | D. surface waves | There are two major types of seismic waves. Body waves travel through the Earth’s interior. Surface waves travel along the ground surface. In an earthquake, body waves are responsible for the sharp jolts. Surface waves are responsible for the rolling motions that do most of the damage in an earthquake. | earth_science | earth_science | |
math_347 | math_mc | Suppose $f$ and $g$ are polynomials, and that $h(x)=f(g(x))+g(x)$. Find the degree of $g(x)$ given that the degree of $h(x)$ is $6$ and the degree of $f(x)$ is $2$. | A | math_Algebra | mathematics | ||
allenai/sciq_5310 | allenai/sciq | Radioactive decay can give off energy and what else?
A. light
B. ions
C. particles
D. atoms | C. particles | Radioactive elements and isotopes have unstable nuclei. To become more stable, the nuclei undergo radioactive decay. In radioactive decay, the nuclei give off, or emit, radiation in the form of energy and often particles as well. There are several types of radioactive decay, including alpha, beta, and gamma decay. Ener... | high_school_physics | physics | |
allenai/sciq_4233 | allenai/sciq | Hair color and skin color are known as what?
A. habits
B. mutations
C. abominations
D. traits | D. traits | What is the difference between a trait and a genetic disorder ? Could a disorder be considered a trait? We tend to think of traits as hair color or skin color and disorders as something that is bad for you. But in terms of genetics, a genetic disorder is a trait. Both may be due to your genes. Traits may be inherited i... | high_school_biology | biology | |
mmlu_aux_train_97668 | mmlu_aux_train | If Earth has poles that are magnetic
A. needles will glow in the dark because of them
B. needles will stab them
C. some poles will be radioactive
D. needles aim that way | D. needles aim that way | high_school_physics | physics | ||
mmlu_aux_train_94533 | mmlu_aux_train | Which is an example of a physical change?
A. ice melting
B. nail rusting
C. bread baking
D. wood burning | A. ice melting | high_school_chemistry | chemistry | ||
math_1787 | math_mc | What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers? | D | math_Number Theory | mathematics | ||
pythonio_70 | pythonio-mc | Program:
import re
def search_literal(pattern,text):
match = re.search(pattern, text)
s = match.start()
e = match.end()
return (s, e)
Input:
search_literal('programming','python programming language')
Output: | D | code | computer_science | ||
math_306 | math_mc | Suppose
\[\frac{1}{x^3-x^2-21x+45}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}\]where $A$, $B$, and $C$ are real constants. What is $A$? | B | math_Algebra | mathematics | ||
math_1419 | math_mc | Let $a$ and $b$ be positive real numbers with $a\ge b$. Let $\rho$ be the maximum possible value of $\frac {a}{b}$ for which the system of equations $$
a^2 + y^2 = b^2 + x^2 = (a - x)^2 + (b - y)^2
$$has a solution in $(x,y)$ satisfying $0\le x < a$ and $0\le y < b$. Find $\rho^2.$ | D | math_Intermediate Algebra | mathematics | ||
pythonio_807 | pythonio-mc | Program:
def find_Extra(arr1,arr2,n) :
for i in range(0, n) :
if (arr1[i] != arr2[i]) :
return i
return n
Input:
find_Extra([2,4,6,8,10],[2,4,6,8],4)
Output: | C | code | computer_science | ||
mmlu_aux_train_99479 | mmlu_aux_train | if one electrical conductor contacts another electrical conductor then what will flow through both conductors?
A. plants
B. air
C. wind
D. zapping power | D. zapping power | electrical_engineering | engineering | ||
math_370 | math_mc | From the diagram below, find the positive difference in the $x$-coordinates when lines $l$ and $m$ reach $y = 15.$ [asy]
import cse5; import olympiad;
size(120);
add(grid(8,8));
draw((0,0)--(8,0),linewidth(1.2));
draw((0,0)--(0,8),linewidth(1.2));
label("$x$",(8,0),E);
label("$y$",(0,8),N);
draw((0,5)--(3,0),Arrows);
d... | A | math_Algebra | mathematics | ||
math_2103 | math_mc | Let $S$ be the set of complex numbers of the form $x + yi,$ where $x$ and $y$ are real numbers, such that
\[\frac{\sqrt{2}}{2} \le x \le \frac{\sqrt{3}}{2}.\]Find the smallest positive integer $m$ such that for all positive integers $n \ge m,$ there exists a complex number $z \in S$ such that $z^n = 1.$ | C | math_Precalculus | mathematics | ||
mmlu_aux_train_57580 | mmlu_aux_train | Microsoft just finished a three-month experiment operating an underwater data center.A server rack with the power of about 300PCs was placed into a water-tight steel container and lowered into the ocean off the coast of central California. The unusual experiment was launched because current data centers are unpleasan... | D. It can make information easily accessible to people. | college_computer_science | computer_science | ||
NLP4Education_178 | NLP4Education | The test loss of logistic regression is always zero.
A. Always TRUE
B. Never TRUE
C. Sometimes TRUE, depending on the dataset
D. The test loss can be both zero and nonzero with equal probability | B. Never TRUE | machine_learning | computer_science | ||
mmlu_aux_train_16954 | mmlu_aux_train | When I first got an e-mail account ten years ago, I received communications only from family, friends, and colleagues. Now it seems that every time I check my e-mail,I have an endless series of advertisements and other _ that do not interest me at all. If we want e-mail to continue to be useful, we need specific laws t... | D. More advertisers begin to promote sales through spam. | computer_security | computer_science | ||
math_2096 | math_mc | Given that $\log_{10} \sin x + \log_{10} \cos x = -1$ and that $\log_{10} (\sin x + \cos x) = \frac{1}{2} (\log_{10} n - 1),$ find $n.$
| B | math_Precalculus | mathematics | ||
pythonio_531 | pythonio-mc | Program:
import math
def area_tetrahedron(side):
area = math.sqrt(3)*(side*side)
return area
Input:
area_tetrahedron(3)
Output: | C | code | computer_science | ||
aquarat_28353 | deepmind/aqua_rat | If [P] denotes the least integer greater than or equal to P and [P] = 0, which of the following statements must be true? | A. P = 0 B. -1 < P <= 0 C. 0 < P <= 1 D. -1 <= P < 0 E. 0 <= P < 1 | B. -1 < P <= 0 | The answer for this is 0 < = P < = 1
However it is not available in the options. The match to the above is-1 < P <= 0
Answer = B | college_mathematics | mathematics |
allenai/sciq_2091 | allenai/sciq | If a solution contains so much solute that its solubility limit is reached, the solution is said to be what?
A. carbohydrates
B. temperatures
C. saturated
D. Over done | C. saturated | If a solution contains so much solute that its solubility limit is reached, the solution is said to be saturated, and its concentration is known from information contained inTable 9.2 "Solubilities of Various Solutes in Water at 25°C (Except as Noted)". If a solution contains less solute than the solubility limit, it i... | high_school_chemistry | chemistry | |
aquarat_27723 | deepmind/aqua_rat | If d is the standard deviation a, b, and c, what is the standard deviation of a +2, b + 2, c + 2 ? | A. 2d B. d C. 2d+2 D. 8d E. 2d+4 | B. d | CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence... | high_school_statistics | mathematics |
mmlu_aux_train_93231 | mmlu_aux_train | When too much salt is detected in the bloodstream, the brain secretes a hormone that helps the body retain water by reducing the amount of urine produced. This is an example of
A. a feedback loop.
B. an acquired trait.
C. a balanced ecosystem.
D. a symbiotic relationship. | A. a feedback loop. | high_school_biology | biology | ||
math_1111 | math_mc | Triangle $ABC$ has an inradius of $5$ and a circumradius of $16$. If $2\cos{B} = \cos{A} + \cos{C}$, then the area of triangle $ABC$ can be expressed as $\frac{a\sqrt{b}}{c}$, where $a, b,$ and $c$ are positive integers such that $a$ and $c$ are relatively prime and $b$ is not divisible by the square of any prime. Comp... | A | math_Geometry | mathematics | ||
math_1427 | math_mc | Solve
\[(x - 3)^4 + (x - 5)^4 = -8.\]Enter all the solutions, separated by commas. | D | math_Intermediate Algebra | mathematics | ||
aquarat_50995 | deepmind/aqua_rat | In an encryption code 'HOUSE' is written as '1S902' when encoded and 'DASH' is written as '4G01' when encoded. How is ''SHED" written in that encryption code? | A. S109 B. 0SG1 C. 0124 D. G910 E. 102G | C. 0124 | 0 = S
1 = H
2 = E
4 = D
Answer: Option C | formal_logic | mathematics |
math_1520 | math_mc | For all composite integers $n$, what is the largest integer that always divides into the difference between $n$ and the cube of $n$? | A | math_Number Theory | mathematics | ||
math_1479 | math_mc | Let $a,$ $b,$ $c$ be distinct integers, and let $\omega$ be a complex number such that $\omega^3 = 1$ and $\omega \neq 1.$ Find the smallest possible value of
\[|a + b \omega + c \omega^2|.\] | B | math_Intermediate Algebra | mathematics |
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