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_94959 | deepmind/aqua_rat | If pq = p^6 + q^2 – 2pq, for what value of q is pq equal to p^6 for all values of p? | A. 0 B. -1 C. -2 D. 1 E. 2 | A. 0 | p6 + q2 – 2pq = p6
=> q2 - 2pq = 0
=> q (q - 2p) = 0
=> q = 0 or q = 2p
im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DETAI
A | college_mathematics | mathematics |
mmlu_aux_train_50582 | mmlu_aux_train | VOIP stands for Voice Over Internet Protocol. It is also referred to as IP Telephony. It is another way of making phone calls, though the 'phone' part is not always present any more, as you can communicate without a telephone set. VOIP is especially popular with long distance calls. The main reason for which people are... | C. introduce a new type of IP technology---VOIP. | computer_security | computer_science | ||
math_2109 | math_mc | Compute
\[\sin^2 4^\circ + \sin^2 8^\circ + \sin^2 12^\circ + \dots + \sin^2 176^\circ.\] | D | math_Precalculus | mathematics | ||
math_1018 | math_mc | Two of the altitudes of an acute triangle divide the sides into segments of lengths $5,3,2$ and $x$ units, as shown. What is the value of $x$? [asy]
defaultpen(linewidth(0.7)); size(75);
pair A = (0,0);
pair B = (1,0);
pair C = (74/136,119/136);
pair D = foot(B, A, C);
pair E = /*foot(A,B,C)*/ (52*B+(119-52)*C)/(119);
... | D | math_Geometry | mathematics | ||
math_1372 | math_mc | An ellipse has foci $(2, 2)$ and $(2, 6)$, and it passes through the point $(14, -3).$ Given this, we can write the equation of the ellipse in standard form as \[\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1,\]where $a, b, h, k$ are constants, and $a$ and $b$ are positive. Find the ordered quadruple $(a, b, h, k)$.
(E... | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_1403 | mmlu_aux_train | As the molecules of water begin to slow down they go into a phase where they are no longer able to easily move past each other. The water is passing through a phase change and will
A. remain a mixture.
B. remain a compound.
C. become an element.
D. become a compound. | B. remain a compound. | high_school_chemistry | chemistry | ||
math_762 | math_mc | A delicious circular pie with diameter $12\text{ cm}$ is cut into three equal-sized sector-shaped pieces. Let $l$ be the number of centimeters in the length of the longest line segment that may be drawn in one of these pieces. What is $l^2$? | A | math_Geometry | mathematics | ||
math_284 | math_mc | The quadratic $ax^2 + bx + c$ can be expressed in the form $2(x - 4)^2 + 8$. When the quadratic $3ax^2 + 3bx + 3c$ is expressed in the form $n(x - h)^2 + k$, what is $h$? | A | math_Algebra | mathematics | ||
pythonio_634 | pythonio-mc | Program:
import heapq
def cheap_items(items,n):
cheap_items = heapq.nsmallest(n, items, key=lambda s: s['price'])
return cheap_items
Input:
cheap_items([{'name': 'Item-1', 'price': 101.1},{'name': 'Item-2', 'price': 555.22}, {'name': 'Item-3', 'price': 45.09},{'name': 'Item-4', 'price': 22.75}],1)
Output: | B | code | computer_science | ||
math_331 | math_mc | Simplify $\dfrac{3+4i}{1+2i}$. Your answer should be of the form $a+bi$, where $a$ and $b$ are both real numbers and written as improper fractions (if necessary). | D | math_Algebra | mathematics | ||
aquarat_34099 | deepmind/aqua_rat | Pointing to an old man, Kailash said, "His son is my son's uncle." How is the old man related to Kailash ? | A. Brother B. Uncle C. Father D. Grandfather E. Sister | C. Father | Explanation:
Kailash's son's uncle — Kailash's brother. So. the old man's son is Kailash's brother
i.e., the old man is Kailash's father.
Answer: C | formal_logic | mathematics |
NLP4Education_627 | NLP4Education | Tick the \textbf{false} assertion. A distinguisher \ldots
A. can break PRNG.
B. is an algorithm calling an oracle.
C. recovers the secret key of a stream cipher.
D. can differentiate the encryption of two known plaintexts. | C. recovers the secret key of a stream cipher. | computer_security | computer_science | ||
aquarat_63295 | deepmind/aqua_rat | A regular nine side is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ? | A. 48 degrees B. 54 degrees C. 72 degrees D. 70 degrees E. 108 degrees | D. 70 degrees | its a regular nine side so divide the globe by 9.
= 360/9
= 40
40 would be the angle at O.
Angles at A and B are equivalent, so
40 + 2x = 180
2x = 140
x = 70
Angles OAB and OBA will be 70 degrees each.
D | college_mathematics | mathematics |
NLP4Education_10 | NLP4Education | In JOS, suppose one Env sends a page to another Env. Is the page copied?
A. Yes, the page is copied to the receiver.
B. No, the page is mapped to the receiver's address space.
C. Yes, the page is cloned and sent to the receiver.
D. Only the page metadata is copied, not the contents. | B. No, the page is mapped to the receiver's address space. | computer_security | computer_science | ||
pythonio_416 | pythonio-mc | Program:
from collections import defaultdict
def freq_element(test_tup):
res = defaultdict(int)
for ele in test_tup:
res[ele] += 1
return (str(dict(res)))
Input:
freq_element((7, 8, 8, 9, 4, 7, 6, 5, 4) )
Output: | C | code | computer_science | ||
mmlu_aux_train_77891 | mmlu_aux_train | The air plant has wonderful and amazing features. It takes in moisture from the air through its leaves.Although it is seen growing on another object or plant to support itself. To prevent the roots from being too wet,avoid planting it in soil. Keep the roots in a well--ventilated environment. Air plants can grow well ... | B. the air | high_school_biology | biology | ||
pythonio_30 | pythonio-mc | Program:
def sum_elements(test_tup):
res = sum(list(test_tup))
return (res)
Input:
sum_elements((11, 12 ,13 ,45, 14))
Output: | C | code | computer_science | ||
aquarat_60530 | deepmind/aqua_rat | If X+Y = 2X-2Z, X+2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z? | A. -4.5. B. 0.667. C. 1.7. D. 3. E. 2.5. | B. 0.667. | X+Y = 2X-2Z
Y= X-2Z---------- 1
X+2Y = 4Z
-X+4Z= 2Y--------- 2
Adding equation 1 from equation 2
2Z = 3Y
Y/Z = 0.667
B is the answer | college_mathematics | mathematics |
pythonio_292 | pythonio-mc | Program:
def find_First_Missing(array,start,end):
if (start > end):
return end + 1
if (start != array[start]):
return start;
mid = int((start + end) / 2)
if (array[mid] == mid):
return find_First_Missing(array,mid+1,end)
return find_First_Missing(array,start,mi... | B | code | computer_science | ||
allenai/sciq_11081 | allenai/sciq | What value of dissolved substances is higher than that of their corresponding precipitate?
A. negentropy
B. entropy
C. binary
D. ordiny | B. entropy | Dissolved substances have a higher entropy value than their corresponding precipitate. | college_chemistry | chemistry | |
mmlu_aux_train_81812 | mmlu_aux_train | Bill Gates, the founder of Microsoft and one of the richest people in the world, is now making efforts to reinvent the toilet. Gates has donated a big part of his wealth to charity. Now his charitable organization, the Bill & Melinda Gates Foundation, is looking for future toilets that can improve the living condition... | B. Washing a lot of water and needing a costly sewage system. | college_biology | biology | ||
mmlu_aux_train_94768 | mmlu_aux_train | A student describes a substance as lacking a definite shape. The description also states that the particles of matter are close to each other but still able to flow past each other. Which type of substance is the student most likely describing?
A. solid
B. liquid
C. mixture
D. compound | B. liquid | high_school_chemistry | chemistry | ||
allenai/sciq_11233 | allenai/sciq | When an atom gains or loses an electron it becames an?
A. ion
B. neutron
C. photon
D. electron | A. ion | Sometimes atoms lose or gain electrons. Then they become ions . Ions have a positive or negative charge. That’s because they do not have the same number of electrons as protons. If atoms lose electrons, they become positive ions, or cations. If atoms gain electrons, they become negative ions, or anions. | high_school_chemistry | chemistry | |
pythonio_158 | pythonio-mc | Program:
def max_sum_pair_diff_lessthan_K(arr, N, K):
arr.sort()
dp = [0] * N
dp[0] = 0
for i in range(1, N):
dp[i] = dp[i-1]
if (arr[i] - arr[i-1] < K):
if (i >= 2):
dp[i] = max(dp[i], dp[i-2] + arr[i] + arr[i-1]);
else:
dp[i] = max(dp[i], arr[i] + arr[i-1]);
return dp[N - 1... | D | code | computer_science | ||
allenai/sciq_7421 | allenai/sciq | What system transports many substances to and from cells throughout the body?
A. cardiovascular
B. physiological
C. circulatory
D. nutritional | A. cardiovascular | The cardiovascular system transports many substances to and from cells throughout the body. | high_school_biology | biology | |
math_2183 | math_mc | Compute the number of real solutions $(x,y,z,w)$ to the system of equations:
\begin{align*}
x &= z+w+zwx, \\
y &= w+x+wxy, \\
z &= x+y+xyz, \\
w &= y+z+yzw.
\end{align*} | D | math_Precalculus | mathematics | ||
allenai/sciq_872 | allenai/sciq | What is used to fluoridate drinking water to promote dental health
A. calcium fluoride
B. carbon fluoride
C. calcium fluorine
D. carbon fluorine | A. calcium fluoride | Calcium fluoride is used to fluoridate drinking water to promote dental health. Crystalline CaF 2 (d = 3.1805 3. | high_school_chemistry | chemistry | |
allenai/sciq_10299 | allenai/sciq | What is a mixture of potassium nitrate, sulfur, and charcoal?
A. gunpowder
B. gasoline
C. TNT
D. cyanide | A. gunpowder | Nitrates, salts of nitric acid, form when metals, oxides, hydroxides, or carbonates react with nitric acid. Most nitrates are soluble in water; indeed, one of the significant uses of nitric acid is to prepare soluble metal nitrates. Nitric acid finds extensive use in the laboratory and in chemical industries as a stron... | high_school_chemistry | chemistry | |
aquarat_33676 | deepmind/aqua_rat | If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={12,12,12...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ? | A. a) k(n+m+mn)+ k B. b) (1+n+m+mn)(k+1) C. c) k^2(mn+n/m) D. d) kmn(k+m+n) E. e) None of the above. | C. c) k^2(mn+n/m) | a) how many 2's are included?
b) how many 3's are included?
and
c) how many 11's are included?
For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We sim... | college_mathematics | mathematics |
NLP4Education_474 | NLP4Education | Tick the \emph{incorrect} assertion. In a multiplicative cyclic group $G$ of order $m > 1$ with neutral element $e_G$ \ldots
A. the order of every element $x \in G$ is $m$.
B. there exists $g \in G$ that generates the whole group.
C. for any $x \in G$, we have that $x^m = e_{G}$.
D. $\lambda = m$, where $\lambda$ is th... | A. the order of every element $x \in G$ is $m$. | abstract_algebra | mathematics | ||
mmlu_aux_train_86571 | mmlu_aux_train | Once an Englishman named Jack Brown went to Russia for a holiday. He stayed there for several months and then came home again. Some of his friends visited him a few days after he got back. "I had a very dangerous trip while I was in Russia," Jack said to them. "I wanted to see a friend of mine in the country and the ba... | B. in Russia one winter evening | high_school_computer_science | computer_science | ||
mmlu_aux_train_98764 | mmlu_aux_train | What do you need to see a rainbow?
A. water
B. sea monsters
C. bats
D. leprechauns | A. water | conceptual_physics | physics | ||
mmlu_aux_train_95188 | mmlu_aux_train | if a person remotely controls a machine to do something, which of these is required?
A. a thing for information
B. these are all incorrect
C. a meal to eat
D. a floral plant life | B. these are all incorrect | college_computer_science | computer_science | ||
allenai/sciq_11323 | allenai/sciq | What methods allow scientists to add to scientific knowledge and gain a better understanding of the world?
A. close investigations
B. slow investigations
C. early investigations
D. through investigations | D. through investigations | Investigations are at the heart of science. They are how scientists add to scientific knowledge and gain a better understanding of the world. Scientific investigations produce evidence that helps answer questions. Even if the evidence cannot provide answers, it may still be useful. It may lead to new questions for inve... | college_biology | biology | |
mmlu_aux_train_93363 | mmlu_aux_train | When buried sediments are subjected to pressure, the mineral grains are squeezed together. What is the result of this action?
A. volcanoes
B. earthquakes
C. new rock is formed
D. layers rise to the surface | C. new rock is formed | college_earth_science | earth_science | ||
mmlu_aux_train_35464 | mmlu_aux_train | Gauri Nanda sees a wearable computer as a handbag -- one that's built out of four-inch squares and triangles of fiber, with tiny computer chips embedded in it. It looks, feels and weighs like your typical leather purse. That's where similarities end: This bag can wirelessly keep track of your belongings and remind yo... | A. It can be washed in a washing machine. | college_computer_science | computer_science | ||
pythonio_597 | pythonio-mc | Program:
def count_vowels(test_str):
res = 0
vow_list = ['a', 'e', 'i', 'o', 'u']
for idx in range(1, len(test_str) - 1):
if test_str[idx] not in vow_list and (test_str[idx - 1] in vow_list or test_str[idx + 1] in vow_list):
res += 1
if test_str[0] not in vow_list and test_str[1] in vow_list:
... | C | code | computer_science | ||
math_765 | math_mc | Let $P$ be a point outside of circle $O.$ A segment is drawn from $P$ such that it is tangent to circle $O$ at point $T.$ Meanwhile, a secant from $P$ intersects $O$ at $A$ and $B,$ such that $PA < PB.$ If $PA = 3$ and $PT = AB - PA,$ then what is $PB$? | D | math_Geometry | mathematics | ||
pythonio_652 | pythonio-mc | Program:
def max_run_uppercase(test_str):
cnt = 0
res = 0
for idx in range(0, len(test_str)):
if test_str[idx].isupper():
cnt += 1
else:
res = cnt
cnt = 0
if test_str[len(test_str) - 1].isupper():
res = cnt
return (res)
Input:
max_run_uppercase('GeMKSForGERksISBESt')
O... | D | code | computer_science | ||
mmlu_aux_train_67815 | mmlu_aux_train | In some science fiction movies, evil robots refuse to die, no matter how hard people fight back. Now science fiction has become science fact. For the first time, scientists have made a robot that can take a beating and keep on going. Scientists from Cornell University made the robot, which looks like a spider with fou... | D. The computer cannot work if the robot changes | college_computer_science | computer_science | ||
mmlu_aux_train_31636 | mmlu_aux_train | It may not be news to parents of teenage girls, but researchers have confirmed that no one can stop their 16-year-old daughter from deciding how the family spends its money. The willpower and determination of teenage girls in how a family's money is spent on everything from food and meals to mobile phones, and, of cour... | A. teenage girls have more influence over family budgets than teenage boys | college_mathematics | mathematics | ||
NLP4Education_743 | NLP4Education | Which of the following congruence classes has a multiplicative inverse?
A. $[3^{10}2^5 14]_{19}$
B. $[60]_{15}$
C. $[45]_{60}$
D. $[126]_{147}$ | A. $[3^{10}2^5 14]_{19}$ | abstract_algebra | mathematics | ||
mmlu_aux_train_82185 | mmlu_aux_train | Scientists have written a report on the future of trade and industry. They talk about the role robots will play in industry. What is a robot?Basically ,it is a machine which is designed to do the work of a human being. It is usually controlled by a computer. Once it has been given a set of things to do,it will do the j... | A. English | high_school_computer_science | computer_science | ||
math_1152 | math_mc | There exist integers $a,$ $b,$ and $c$ such that
\[(x - a)(x - 10) + 1 = (x + b)(x + c).\]Enter all possible values of $a,$ separated by commas. | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_97790 | mmlu_aux_train | The xylem absorbs water which end of a plant
A. bottom
B. top
C. left side
D. right side | A. bottom | high_school_biology | biology | ||
allenai/sciq_8732 | allenai/sciq | What are oil in folded layers of rock called?
A. macroparticle
B. anticlines
C. oscillations
D. dendrites | B. anticlines | Geologists look for oil in folded layers of rock called anticlines ( Figure below ). Oil moves through permeable rock and is trapped by the impermeable cap rock. | college_earth_science | earth_science | |
mmlu_aux_train_78935 | mmlu_aux_train | When Steven was a young boy, he moved quite often with his family and so he never had many friends. He spent a lot of time on his own and liked to play with electronic things. Steven had a neighbour, Steve Wozniak. Steve was a little bit younger than Steven but also liked to play with electronic things. Steven made a m... | C. Because his family moved a lot. | high_school_computer_science | computer_science | ||
math_1115 | math_mc | For a certain positive integer $n,$ there exist real numbers $x_1,$ $x_2,$ $\dots,$ $x_n$ such that
\begin{align*}
x_1 + x_2 + x_3 + \dots + x_n &= 1000, \\
x_1^4 + x_2^4 + x_3^4 + \dots + x_n^4 &= 512000.
\end{align*}Find the smallest positive integer $n$ for which this is possible. | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_5216 | allenai/sciq | What is an element that tend to be malleable?
A. actinide
B. metal
C. mixture
D. lanthanide | B. metal | Metals tend to be malleable. This means that they can be formed into thin sheets without breaking. An example is aluminum foil, also pictured in the Figure below . | high_school_chemistry | chemistry | |
aquarat_538 | deepmind/aqua_rat | The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence? | A. 201/100 B. 99/100 C. 100/101 D. 1/10000 E. 20/21 | E. 20/21 | Easy task and accomplish
X1=1-1/2
x2=1/2-1/3
x3=1/3-1/4
.....
x20=1/20-1/21
sum=X1+X2+X3+....X20=1-1/2+1/2-1/3+.......1/20-1/21=1-1/21=20/21
E is the answer | college_mathematics | mathematics |
mmlu_aux_train_65860 | mmlu_aux_train | Playing with toy blocks may lead to improved language development in young children, a new study reported. Early childhood is an important period in the development of young minds. The newborn brain grows three times in size between birth and age 2. Scientists have said that certain activities during this import... | A. 87 | high_school_biology | biology | ||
math_1174 | math_mc | Let $f(x)$ be a polynomial of degree 2006 with real coefficients, and let its roots be $r_1,$ $r_2,$ $\dots,$ $r_{2006}.$ There are exactly 1006 distinct values among
\[|r_1|, |r_2|, \dots, |r_{2006}|.\]What is the minimum number of real roots that $f(x)$ can have? | C | math_Intermediate Algebra | mathematics | ||
pythonio_735 | pythonio-mc | Program:
def Sum_of_Inverse_Divisors(N,Sum):
ans = float(Sum)*1.0 /float(N);
return round(ans,2);
Input:
Sum_of_Inverse_Divisors(6,12)
Output: | B | code | computer_science | ||
mmlu_aux_train_1007 | mmlu_aux_train | Peter and Donald were in the habit of playing practical jokes on each other on their respective birthdays. On Peter's birthday, Donald sent Peter a cake containing an ingredient that he knew had, in the past, made Peter very ill. After Peter had eaten a piece of the cake, he suffered severe stomach pains and had to be ... | A. prevail, because Donald knew that the cake would be harmful or offensive to Peter. | formal_logic | mathematics | ||
aquarat_85962 | deepmind/aqua_rat | If a certain sample of data has a mean of 21.0 and the value 42.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample | A. 8.3 B. 7.3 C. 7.5 D. 6.5 E. 6.2 | A. 8.3 | 42.0 is more than 2.5 standard deviations from 21 --> 42 > 21 + 2.5*{SD} --> 2.5*{SD} < 21 --> {SD} < 8.4. Only option A offers the standard deviation less than 8.4.
Answer: A | high_school_statistics | mathematics |
aquarat_13185 | deepmind/aqua_rat | The function f(W) represents the number of ways that prime numbers can be uniquely summed to form a certain number W such that W = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)? | A. 4 B. 5 C. 6 D. 7 E. 8 | D. 7 | So It is better to start with 2 and check whether sum of two primes is primes is even.
1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7
Answer: D | college_mathematics | mathematics |
aquarat_78429 | deepmind/aqua_rat | In an electric circuit, two resistors with resistances M and N are connected in parallel. In this case, if P is the combined resistance of these two resistors, then the reciprocal of P is equal to the sum of the reciprocals of M and N. What is P in terms of M and N? | A. (N-M) B. MN/(M + N) C. (NM) D. (N-M)/(M+N) E. NONE OF THESE | B. MN/(M + N) | The wording is a bit confusing, though basically we are told that 1/P= 1/M + 1/N, from which it follows that P=MN/(M + N).
Answer: B | electrical_engineering | engineering |
mmlu_aux_train_1068 | mmlu_aux_train | Blackacre was a tract of 100 acres retained by Byron, the owner, after he had developed the adjoining 400 acres as a residential subdivision. Byron had effectively imposed restrictive covenants on each lot in the 400 acres. Chaney offered Byron a good price for a five-acre tract located in a corner of Blackacre far awa... | A. the deed imposing the restrictions was not in the chain of title for the 95 acres when Dart bought. | formal_logic | mathematics | ||
mmlu_aux_train_2707 | mmlu_aux_train | Which activity is an example of a chemical change?
A. sugar dissolving in water
B. water evaporating in air
C. lighting a match
D. freezing water | C. lighting a match | high_school_chemistry | chemistry | ||
allenai/sciq_4824 | allenai/sciq | Triggering a blink when something touches the surface of the eye, the corneal reflex is what type of reflex?
A. dendritic
B. somatic
C. orgasmic
D. sensory | B. somatic | connection is the basis of somatic reflexes. The corneal reflex is contraction of the orbicularis oculi muscle to blink the eyelid when something touches the surface of the eye. Stretch reflexes maintain a constant length of muscles by causing a contraction of a muscle to compensate for a stretch that can be sensed by ... | college_biology | biology | |
aquarat_68036 | deepmind/aqua_rat | I. All the offices on the 9th floor have wall-to-wall carpeting.
II. No wall-to-wall carpeting is pink.
III.None of the offices on the 9th floor has pink wall-to-wall carpeting.
If the first two statements are true, the third statement is | A. true B. false C. uncertain D. none E. 223 | A. true | Explanation:
If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.
Answer: A) true | formal_logic | mathematics |
math_18 | math_mc | For real numbers $x$, let \[f(x) = \left\{
\begin{array}{cl}
x+2 &\text{ if }x>3, \\
2x+a &\text{ if }x\le 3.
\end{array}
\right.\]What must the value of $a$ be to make the piecewise function continuous (which means that its graph can be drawn without lifting your pencil from the paper)? | C | math_Algebra | mathematics | ||
allenai/sciq_9300 | allenai/sciq | A membrane has what property if it can control what molecules or ions enter or leave the cell?
A. indiscreet permeability
B. susceptible permeability
C. selective permeability
D. impermeability | C. selective permeability | Probably the most important feature of a cell’s phospholipid membranes is that they are selectively permeable or semipermeable . A membrane that is selectively permeable has control over what molecules or ions can enter or leave the cell, as shown in Figure below . The permeability of a membrane is dependent on the org... | college_biology | biology | |
math_674 | math_mc | Henry's Hamburger Heaven offers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. A customer can choose one, two, or three meat patties, and any collection of condiments. How many different kinds of hamburgers can be ordered? | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_98524 | mmlu_aux_train | If your were to sit still and stare at the sky for one of the earth's rotations, you will have wasted
A. half your existence
B. 1,440 minutes
C. your family's week
D. 2 days | B. 1,440 minutes | astronomy | physics | ||
aquarat_78482 | deepmind/aqua_rat | If pqr = 0 , qrs = 0 , and spr = 1, which of the following must be zero? | A. P B. Q C. R D. S E. T | B. Q | prs = 1 which means neither p / r/s is 0
rsx q = 0 , we know r and s are is not 0 from above hence q must be 0.
q x p x r = 0, we know from first expression that p and r are not 0 hence q =0.
option B | formal_logic | mathematics |
NLP4Education_223 | NLP4Education | Consider a binary classification problem with classifier $f(\mathbf{x})$ given by
$$
f(\mathbf{x})=
\begin{cases}
1, & g(\mathbf{x}) \geq 0 \\
-1, & g(\mathbf{x})<0
\end{cases}
$$
and $\mathbf{x} \in \mathbb{R}^{6}$. Consider a specific pair $(\mathbf{x}, y=1)$ and assume that $g(\mathbf{x})=8$. In particular this ... | A. $(0,0,0,0,0,1)$ | machine_learning | computer_science | ||
mmlu_aux_train_96746 | mmlu_aux_train | If an anteater eats an ant, where is that ant contained?
A. outside the anteater
B. inside the anteater
C. in the sky
D. underground | B. inside the anteater | high_school_biology | biology | ||
aquarat_55756 | deepmind/aqua_rat | Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy? | A. 200 B. 300 C. 400 D. 500 E. 600 | A. 200 | Let x and y be the weights, in grams, of sterling silver and of the 90% alloy to make the 500 grams at 91%. Hence
x + y =500
The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams. The pure silver is given in percentage forms.... | high_school_chemistry | chemistry |
math_381 | math_mc | What is the greatest possible value of $x$ for the equation $$\left(\frac{4x-16}{3x-4}\right)^2+\left(\frac{4x-16}{3x-4}\right)=12?$$ | B | math_Algebra | mathematics | ||
math_1545 | math_mc | How many different counting numbers will each leave a remainder of 5 when divided into 47? | C | math_Number Theory | mathematics | ||
math_1641 | math_mc | Ed and Sue bike at equal and constant rates. Similarly, they jog at equal and constant rates, and they swim at equal and constant rates. Ed covers $74$ kilometers after biking for $2$ hours, jogging for $3$ hours, and swimming for $4$ hours, while Sue covers $91$ kilometers after jogging for $2$ hours, swimming for $3$... | A | math_Number Theory | mathematics | ||
allenai/sciq_7247 | allenai/sciq | What term is defined as the preserved remains or traces of organisms that lived during earlier ages?
A. waste
B. bones
C. fossils
D. deposits | C. fossils | Fossils are the preserved remains or traces of organisms that lived long ago. They form mainly when minerals in water turn remains to stone. Fossils can be dated using methods such as carbon-14 dating or their positions in rock layers. | high_school_biology | biology | |
aquarat_91172 | deepmind/aqua_rat | A 16% stock yielding 10% is quoted at : | A. 83.33 B. 110 C. 112 D. 120 E. 160 | E. 160 | Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 16, money invested = Rs.(100/10X16) = Rs. 160.
∴ Market value of Rs. 100 stock =Rs. 160
Answer E | college_mathematics | mathematics |
aquarat_60121 | deepmind/aqua_rat | What is the Mode of the following data set M- {5,4,5,5,6,6,5,7,8,9} | A. 5 B. 4 C. 6 D. 7 E. 9 | A. 5 | Mode of a set is the data point that is repeated the most number of times. In the set given,5 is repeated
Answer: A | high_school_statistics | mathematics |
aquarat_20134 | deepmind/aqua_rat | For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b - 4| + |ab + b| = ? | A. a) ab - 4 B. b) 2b - ab - 4 C. c) ab + 4 D. d) ab - 2b + 4 E. e) 4 - ab | C. c) ab + 4 | |a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab' is Positive
'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative
But since 'a' is Negative therefore 'b' is Negative too.
Since b is negative so |b - 4| = -b+4
Since ab is Positive and b is Negative so |a... | college_mathematics | mathematics |
mmlu_aux_train_14782 | mmlu_aux_train | Does it drive you crazy that your cell phone needs to be frequently charged for hours? A team of scientists led by professor Harold Kung at Northwestern University in the US may have solved your problem. They developed a lithium ion batery that holds 10 times as much power and charges 10 times more quickly than stand... | C. They have limited energy capacity. | college_chemistry | chemistry | ||
aquarat_60087 | deepmind/aqua_rat | Zn = 2Zn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If Z5 = Q4 and Z7 = 316, what is the first value of n for which Qn is an integer? | A. 1 B. 2 C. 3 D. 4 E. 5 | C. 3 | Assuming I have understood the symbols used correctly answer is C- 3
Z7 = 2S6 +4 = 316
Z6 = 312/2 = 156 = 2Z5 + 4
Z5 = 152/2 = 76 = Q4
Q4 = 4Q3 + 8 = 76
Q3 = 68/4 = 17
Q3 = 4Q2 + 8 = 17
Q2 = 9/4 = 2.25
Q2 = 4Q1 + 8
Q1 will not be integer | college_mathematics | mathematics |
aquarat_36103 | deepmind/aqua_rat | I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
III.Class A has a lower enrollment than Class C.
If the first two statements are true, the third statement is | A. true B. false C. uncertain D. none E. two | B. false | Explanation:
From the first two statements, we know that of the three classes, Class A has the highest enrollment, so the third statement must be false.
Answer: B) false | formal_logic | mathematics |
math_1374 | math_mc | Let $f(x) = x^2 + 6x + c$ for all real numbers $x$, where $c$ is some real number. For what values of $c$ does $f(f(x))$ have exactly $3$ distinct real roots? | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_96855 | mmlu_aux_train | A chemical reaction may occur when _____ is added to an object.
A. interest
B. warmth
C. puppies
D. loss | B. warmth | high_school_chemistry | chemistry | ||
aquarat_4407 | deepmind/aqua_rat | A city in the US has a basketball league with three basketball teams, the Aziecs, the Braves and the Celtics. A sports writer notices that the tallest player of the Aziecs is shorter than the shortest player of the Braves. The shortest of the Celtics is shorter than the shortest of the Aziecs, while the tallest of the ... | A. X,U only B. X only C. Y only D. 8 onlY E. T only | C. Y only | Ans: B
Sol: We solve this problem by taking numbers. Let the shortest of Braves is 4 feet. Then tallest of Aziecs is less than 4. So let it be 3 feet.
A -> 2 - 3
B -> 4 - 6
C -> 1 - 7
From the above we can safely conclude X is correct. but Y cannot be determined.
Answer:C | formal_logic | mathematics |
pythonio_344 | pythonio-mc | Program:
def sum_Range_list(nums, m, n):
sum_range = 0 ... | A | code | computer_science | ||
allenai/sciq_26 | allenai/sciq | Water molecules move about continuously due to what type of energy?
A. seismic
B. potential
C. optical
D. kinetic | D. kinetic | Water molecules move about continuously due to their kinetic energy. When a crystal of sodium chloride is placed into water, the water’s molecules collide with the crystal lattice. Recall that the crystal lattice is composed of alternating positive and negative ions. Water is attracted to the sodium chloride crystal be... | high_school_physics | physics | |
math_1617 | math_mc | On a long straight stretch of one-way single-lane highway, cars all travel at the same speed and all obey the safety rule: the distance from the back of the car ahead to the front of the car behind is exactly one car length for each 15 kilometers per hour of speed or fraction thereof (Thus the front of a car traveling ... | B | math_Number Theory | mathematics | ||
aquarat_21958 | deepmind/aqua_rat | If each data point in a certain set Q is increased by a factor of 20, what happens with the set's standard deviation? | A. Doesn't Change B. Decreases by Factor 20 C. Can't be determined D. Increases by 20 E. Increases by Factor 20 | E. Increases by Factor 20 | 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 |
allenai/sciq_5834 | allenai/sciq | What is friction that acts on objects that are moving through a fluid?
A. fluid friction
B. fluid temperature
C. fluid catalyst
D. mass friction | A. fluid friction | Fluid friction is friction that acts on objects that are moving through a fluid. A fluid is a substance that can flow and take the shape of its container. Fluids include liquids and gases. If you’ve ever tried to push your open hand through the water in a tub or pool, then you’ve experienced fluid friction. You can fee... | conceptual_physics | physics | |
math_590 | math_mc | An oreo shop sells $5$ different flavors of oreos and $3$ different flavors of milk. Alpha and Beta decide to purhcase some oreos. Since Alpha is picky, he will not order more than 1 of the same flavor. To be just as weird, Beta will only order oreos, but she will be willing to have repeats of flavors. How many ways co... | D | math_Counting & Probability | mathematics | ||
allenai/sciq_5786 | allenai/sciq | What do we call the worldwide radio-navigation system formed from a constellation of 24 satellites and their ground stations?
A. gps
B. cellular network
C. radio waves
D. compass | A. gps | You must have a GPS receiver to use the system. You can buy many types of these in stores. The GPS receiver detects radio signals from nearby GPS satellites. There are precise clocks on each satellite and in the receiver. The receiver measures the time for radio signals from satellites to reach it. The receiver uses th... | astronomy | physics | |
pythonio_708 | pythonio-mc | Program:
def min_Swaps(s1,s2) :
c0 = 0; c1 = 0;
for i in range(len(s1)) :
if (s1[i] == '0' and s2[i] == '1') :
c0 += 1;
elif (s1[i] == '1' and s2[i] == '0') :
c1 += 1;
result = c0 // 2 + c1 // 2;
if (c0 % 2 == 0 and c1 % 2 == 0) :
... | C | code | computer_science | ||
NLP4Education_690 | NLP4Education | Which defense(s) highlight the principle of least privilege in software security?
A. Applying updates regularly because software updates always reduce privileges.
B. Using Address Space Layout Randomization (ASLR) because it changes memory layout unpredictably each time.
C. CFI protection on the forward edge because th... | C. CFI protection on the forward edge because the check limits reachable targets. | computer_security | computer_science | ||
pythonio_848 | 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([-20,20,-10,10,-30,30])
Output: | A | code | computer_science | ||
pythonio_179 | pythonio-mc | Program:
def find_dissimilar(test_tup1, test_tup2):
res = tuple(set(test_tup1) ^ set(test_tup2))
return (res)
Input:
find_dissimilar((1, 2, 3, 4), (7, 2, 3, 9))
Output: | B | code | computer_science | ||
allenai/sciq_6420 | allenai/sciq | Graphite and diamond both are made from carbon. what makes diamonds so hard?
A. strong metallic network
B. strong atomic network
C. strong light network
D. weak atomic network | B. strong atomic network | Sometimes two different minerals have the same chemical composition. But they are different minerals because they have different crystal structures. Diamonds are beautiful gemstones because they are very pretty and very hard. Graphite is the “lead” in pencils. It's not hard at all! Amazingly, both are made just of carb... | high_school_chemistry | chemistry | |
math_1337 | math_mc | Solve the inequality
\[\frac{1}{x - 1} - \frac{4}{x - 2} + \frac{4}{x - 3} - \frac{1}{x - 4} < \frac{1}{30}.\] | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_29386 | mmlu_aux_train | Recently a group of children in America poured some gasoline on a sleeping man and set him on fire. When caught, the children said they had done what they'd seen on TV. The incidents make people angry who believe that American children are harmed by watching too much TV. They claim children can't tell between the ficti... | D. children learn from TV and can tell reality from what they see on it | high_school_computer_science | computer_science | ||
mmlu_aux_train_80427 | mmlu_aux_train | The Internet can show you lots of jobs all over the world. If you want to find a job on the Internet, use the words "job search" or "employment " to find the websites you need. You only need to type in what you want and where you want to work. In a few seconds, a list of jobs will appear on the screen. You can also typ... | A. To type in "job search" or "employment" to find the websites. | computer_security | computer_science | ||
mmlu_aux_train_465 | mmlu_aux_train | Downs was indicted in state court for bribing a public official. During the course of the investigation, police had demanded and received from Downs's bank the records of Downs's checking account for the preceding two years. The records contained incriminating evidence. On the basis of a claim of violation of his const... | D. denied, because the records were business records of the bank in which Downs had no legitimate expectation of privacy | clinical_knowledge | biology | ||
allenai/sciq_9558 | allenai/sciq | Adding the number of protons plus the number of neutrons in an atom, decides it's approximate mass, what is another word for this value?
A. atomic number
B. electron count
C. real number
D. atomic mass | A. atomic number | The type of atom is determined by the atomic number (i. e. the number of protons). The atomic mass of an atom is approximately the number of protons plus the number of neutrons. Typically, the atomic mass listed in a periodic table is an average, weighted by the natural abundances of different isotopes. | high_school_chemistry | chemistry | |
math_249 | math_mc | $x = {1+\frac{\sqrt{2}}{1+\frac{\sqrt{2}}{1+...}}}$. Find $\frac{1}{(x+1)(x-2)}$. When your answer is in the form $\frac{A+\sqrt{B}}{C}$, where $A$, $B$, and $C$ are integers, and $B$ is not divisible by the square of a prime, what is $|A|+|B|+|C|$? | B | math_Algebra | mathematics |
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