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_93931
|
deepmind/aqua_rat
|
the number of zeros at the end of product of prime numbers between 1 and 999999
|
A. 1 B. 2 C. 3 D. 4 E. 5
|
A. 1
|
1 zero at the end because multiplication of 2 and 5 leads to an answer which is a multiple of 10
ANSWER:A
|
college_mathematics
|
mathematics
|
allenai/sciq_3901
|
allenai/sciq
|
What are mars' moons thought to be?
A. common asteriods
B. captured asteroids
C. guerrillas asteroids
D. new asteriods
|
B. captured asteroids
|
Mars has two moons that are thought to be captured asteroids.
|
astronomy
|
physics
|
|
NLP4Education_66
|
NLP4Education
|
Which of the following statements about the $\mathrm{SVD}$ of an $N \times D$ matrix $\mathbf{X}$ are correct?
A. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X X}^{\top}$. This has complexity $O\left(D^{3}\right)$.
B. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X} \mathbf{X}^{\top}$ if and only if $\mathbf{X}$ is a square matrix. This has complexity $O\left(D^{3}\right)=O\left(N^{3}\right)$.
C. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X}^{\top} \mathbf{X}$. This has complexity $O\left(D^{3}\right)$.
D. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X}^{\top} \mathbf{X}$. This has complexity $O\left(N^{3}\right)$.
|
C. We can compute the singular values of $\mathbf{X}$ by computing the eigenvalues of $\mathbf{X}^{\top} \mathbf{X}$. This has complexity $O\left(D^{3}\right)$.
|
college_mathematics
|
mathematics
|
||
aquarat_31006
|
deepmind/aqua_rat
|
A 360 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
|
A. 57.6 sec B. 20.2 sec C. 31.8 sec D. 50.4 sec E. none of the above
|
A. 57.6 sec
|
Speed = 55 Km/hr
(to convert km/hr in to M/s)
= 55 x 5/18 M/s
Distance = 360 m + 520 m ( If questions is about train crossing a post you need to consider only the length of Train, )
= 880 m
Time = Distance / Speed
= 880 x 18 / (5 x 55)
= 57.6 sec
Ans is :A
|
high_school_physics
|
physics
|
allenai/sciq_9849
|
allenai/sciq
|
What is a byproduct from the combustion of fossil fuels like coal and gasoline?
A. nitrogen dioxide
B. carbon monoxide
C. alcohol
D. aluminum oxide
|
A. nitrogen dioxide
|
The brown color is from nitrogen dioxide gas. Nitrogen dioxide is a byproduct from the combustion of fossil fuels like coal and gasoline.
|
high_school_chemistry
|
chemistry
|
|
NLP4Education_291
|
NLP4Education
|
Let $\mathcal{R}_{p}(f, \varepsilon)$ be the $\ell_{p}$ adversarial risk of a classifier $f: \mathbb{R}^{d} \rightarrow\{ \pm 1\}$, i.e.,
$$
\mathcal{R}_{p}(f, \varepsilon)=\mathbb{E}_{(\mathbf{x}, y) \sim \mathcal{D}}\left[\max _{\tilde{\mathbf{x}}:\|\mathbf{x}-\tilde{\mathbf{x}}\|_{p} \leq \varepsilon} \mathbb{1}_{\{f(\tilde{\mathbf{x}}) \neq y\}}\right],
$$
for $p=1,2, \infty$. Which of the following relationships between the adversarial risks is true?
A. $\mathcal{R}_{2}(f, \varepsilon) \leq \mathcal{R}_{1}(f, 2\varepsilon)$
B. $\mathcal{R}_{\infty}(f, \varepsilon) \leq \mathcal{R}_{2}(f, \sqrt{d}\varepsilon)$
C. $\mathcal{R}_{\infty}(f, \varepsilon) \leq \mathcal{R}_{1}(f, \varepsilon)$
D. $\mathcal{R}_{\infty}(f, \varepsilon) \leq \mathcal{R}_{2}(f, \varepsilon/d)$
|
B. $\mathcal{R}_{\infty}(f, \varepsilon) \leq \mathcal{R}_{2}(f, \sqrt{d}\varepsilon)$
|
machine_learning
|
computer_science
|
||
allenai/sciq_8351
|
allenai/sciq
|
What is the disease where some alveoli of the lungs fill with fluid?
A. lyme disease
B. lung cancer
C. leukemia
D. pneumonia
|
D. pneumonia
|
Pneumonia is a disease in which some of the alveoli of the lungs fill with fluid so gas exchange cannot occur. Symptoms usually include coughing, chest pain, and difficulty breathing. Pneumonia may be caused by an infection or injury of the lungs.
|
clinical_knowledge
|
biology
|
|
pythonio_524
|
pythonio-mc
|
Program:
def geometric_sum(n):
if n < 0:
return 0
else:
return 1 / (pow(2, n)) + geometric_sum(n - 1)
Input:
geometric_sum(8)
Output:
|
D
|
code
|
computer_science
|
||
allenai/sciq_7874
|
allenai/sciq
|
Since eddy currents and magnetic damping occur only in conductors, recycling centers can use these to separate metals from other materials?
A. particles
B. magnets
C. cranes
D. alloys
|
B. magnets
|
Since eddy currents and magnetic damping occur only in conductors, recycling centers can use magnets to separate metals from other materials. Trash is dumped in batches down a ramp, beneath which lies a powerful magnet. Conductors in the trash are slowed by magnetic damping while nonmetals in the trash move on, separating from the metals. (See Figure 23.17. ) This works for all metals, not just ferromagnetic ones. A magnet can separate out the ferromagnetic materials alone by acting on stationary trash.
|
college_physics
|
physics
|
|
aquarat_56787
|
deepmind/aqua_rat
|
what is the remainder when 30^72^87 is divided by 11.
|
A. 5 B. 7 C. 1 D. 3 E. 4
|
A. 5
|
let us take N=72^87
eq is..30^N/11=8^N/11
here cyclicity of 8 is 10
then N/10=72^87/10=2^87/10
here cyclicity of 2 is
then 87%4=3(3rd cycle of 2)....i.e2^3%10=8(8th cycle of8)
therefore final ans is 8^8%11=5
ANSWER:A
|
college_mathematics
|
mathematics
|
allenai/sciq_10030
|
allenai/sciq
|
The two main types of phagocytic cells in the mammalian body are neutrophils and what other?
A. eukaryotes
B. macrophages
C. histones
D. leukocytes
|
B. macrophages
|
college_biology
|
biology
|
||
pythonio_602
|
pythonio-mc
|
Program:
def find_Sum(arr,n):
arr.sort()
sum = arr[0]
for i in range(0,n-1):
if (arr[i] != arr[i+1]):
sum = sum + arr[i+1]
return sum
Input:
find_Sum([12,10,9,45,2,10,10,45,10],9)
Output:
|
A
|
code
|
computer_science
|
||
allenai/sciq_9496
|
allenai/sciq
|
What is the active ingredient in cloves?
A. eugenol
B. thiamine
C. methyl
D. nicotine
|
A. eugenol
|
Eugenol, the active ingredient in cloves, has the formula C 10 H 12 O 2 . Eugenol is a molecular substance that does not dissociate into ions when dissolved in a solvent. What is the boiling point of a solution in which 0.144 g of eugenol is dissolved in 10.0 g benzene? The k b value for benzene is 2.53 °C/ m , and the boiling point of pure benzene is 80.1 °C.
|
college_chemistry
|
chemistry
|
|
aquarat_60548
|
deepmind/aqua_rat
|
Prove that there exists infinitely many positive integers n such that 4n^2 + 1 is divisible both by 5 and 13.
|
A. 5 B. 6 C. 5|4n^2+ 1 and 13|4n^2+ 1 D. 3|4n^2+ 1 and 10|4n^2+ 1 E. 2|4n^2+ 1 and 1|4n^2+ 1
|
C. 5|4n^2+ 1 and 13|4n^2+ 1
|
For instance, all numbers n in the arithmetic progression 65k+56 (k = 0, 1, 2, ... ) have the desired property. Indeed, if n = 65k+56 with an integer k>=0, then n == 1 (mod 5) and n == 4 (mod 13), hence 4n^2+ 1 == o (mod 5) and 4n^2+ 1== 0 (mod 13). Thus, 5|4n^2+ 1 and 13|4n^2+ 1
Answer is C 5|4n^2+ 1 and 13|4n^2+ 1
|
college_mathematics
|
mathematics
|
pythonio_354
|
pythonio-mc
|
Program:
def find_Min_Sum(a,b,n):
a.sort()
b.sort()
sum = 0
for i in range(n):
sum = sum + abs(a[i] - b[i])
return sum
Input:
find_Min_Sum([3,2,1],[2,1,3],3)
Output:
|
C
|
code
|
computer_science
|
||
NLP4Education_238
|
NLP4Education
|
Consider a binary classification problem with a linear classifier $f(\mathbf{x})$ given by
$$
f(\mathbf{x})= \begin{cases}1, & \mathbf{w}^{\top} \mathbf{x} \geq 0 \\ -1, & \mathbf{w}^{\top} \mathbf{x}<0\end{cases}
$$
where $\mathbf{x} \in \mathbb{R}^{3}$. Suppose that the weights of the linear model are equal to $\mathbf{w}=(4,0,-3)$. For the next two questions, we would like to find a minimum-norm adversarial example. Specifically, we are interested in solving the following optimization problem, for a given $\mathbf{x}$ :
$$
\min _{\boldsymbol{\delta} \in \mathbb{R}^{3}}\|\boldsymbol{\delta}\|_{2} \quad \text { subject to } \quad \mathbf{w}^{\top}(\mathbf{x}+\boldsymbol{\delta})=0
$$
This leads to the point $\mathbf{x}+\boldsymbol{\delta}$ that lies exactly at the decision boundary and the perturbation $\boldsymbol{\delta}$ is the smallest in terms of the $\ell_{2}$-norm. What is the optimum $\delta^{\star}$ that minimizes the objective in Eq. (OP) for the point $\mathbf{x}=$ $(-1,3,2) ?$
A. $(0, 2, 0)$
B. $(1.2, 0, 1.6)$
C. $(-1.2, 0, 1.6)$
D. None of the above
|
D. None of the above
|
machine_learning
|
computer_science
|
||
aquarat_29453
|
deepmind/aqua_rat
|
A computer simulation of a 12 hour analog clock keeps perfect time while it is running, and
has two hands—an hour hand and a minute hand—both of which move continuously around
the 12 hour dial. (For example, at 2:30, the hour hand will be exactly halfway between 2 and
3.) Because of careless programming, the minute hand looks exactly like the hour hand, so
that the two are indistinguishable.
On one day, the clock stops at some time after 12am and before 12pm. How many times could
it have stopped without it being possible after 12pm to tell what time it stopped?
|
A. 11 B. 12 C. 66 D. 132 E. 708
|
D. 132
|
A configuration of the hands is called “ambiguous” if you cannot use this broken clock to
distinguish the minute hand from the hour hand.
In the above diagram it must be the minute hand that is pointing to 6 and the hour hand that
is pointing midway between 2 and 3. (If the hour hand were to point to 6, the minute hand
would have to point to 12.) 2:30 is not an ambiguous configuration.
Let m 2 (0; 1) represent the fraction of the way around the clock face for the minute hand and
h 2 (0; 1) the corresponding fraction for the hour hand. For example, 2:30 hasm = 1=2 = 0:5
and h = 2:5=12 = 0:2083.
As the minute hand moves 12 times as fast as the hour hand, a configuration is ambiguous if
m and 12h have the same fractional part. Because the hands are indistinguishable, a time is
also ambiguous when h and 12m have the same fractional part. We express these conditions
as: 12h m( mod 1) and 12m h( mod 1). Thus 144h h( mod 1), and so 143h 0(
mod 1). There are 142 solutions to this equation in the open interval (0; 1): h 2 H1 := f k
143 :
k = 1; 2; : : : ; 142g.
Times when the hour and minute hand perfectly overlap (h = m) are in H1, but these are not
ambiguous times. These configurations occur when 12h h( mod 1). That is, 11h 0(
mod 1). There are 10 such times: h 2 H2 :=
k
11 : k = 1; 2; : : : ; 10
The number of ambiguous times is the cardinality of H1nH2. As H2 H1 the cardinality of
H1nH2 is 142 10 = 132, which is answer (d).
correct answer D
|
college_mathematics
|
mathematics
|
math_1469
|
math_mc
|
A positive real number $x$ is such that \[
\sqrt[3]{1-x^3} + \sqrt[3]{1+x^3} = 1.
\]Find $x^6.$
|
B
|
math_Intermediate Algebra
|
mathematics
|
||
math_374
|
math_mc
|
The value of the expression \[(3^{1001}+4^{1002})^2-(3^{1001}-4^{1002})^2\]is $k\cdot12^{1001}$ for some positive integer $k$. What is $k$?
|
A
|
math_Algebra
|
mathematics
|
||
aquarat_30476
|
deepmind/aqua_rat
|
Given that A and B are events such that
X(A)= 0.25
X(B)=0.5
X(AnB)=0.5
find X (A|B) and X(A|B)
|
A. 1/2 B. 1/3 C. 3/2 D. 1/5 E. 1/7
|
A. 1/2
|
Here, A and B are events
X(A|B) = X(AnB)/X(B) = 0.5/0.5 = 1
X(A|B) = X(AnB)/X(A) = 0.5/0.25 = 1/2.
Answer is A
|
college_mathematics
|
mathematics
|
math_1597
|
math_mc
|
It is known that, for all positive integers $k$,
$1^2+2^2+3^2+\ldots+k^{2}=\frac{k(k+1)(2k+1)}6$.
Find the smallest positive integer $k$ such that $1^2+2^2+3^2+\ldots+k^2$ is a multiple of $200$.
|
A
|
math_Number Theory
|
mathematics
|
||
aquarat_52281
|
deepmind/aqua_rat
|
I am five letter word. if you remove one, only two letters remain.
What word am I
|
A. I am phone B. I am table C. I am Water D. I am Stone E. None
|
D. I am Stone
|
Correct Answer : D
Stone is five letter word. If your remove one from stone(not 1letter) we will get St
|
formal_logic
|
mathematics
|
allenai/sciq_10567
|
allenai/sciq
|
What do convergent plate boundaries with trenches have?
A. caves
B. geysers
C. earthquakes
D. volcanoes
|
D. volcanoes
|
Volcanoes at divergent plate boundaries are in the East Pacific Rise. Convergent plate boundaries, where there are trenches, have volcanoes. Hotspot volcanoes are in chains in the middle of the ocean basin.
|
college_earth_science
|
earth_science
|
|
math_1339
|
math_mc
|
A function $f$ is defined for all real numbers and satisfies $f(2+x)=f(2-x)$ and $f(7+x)=f(7-x)$ for all $x.$ If $f(0) = 0,$ what is the least number of roots $f(x)=0$ must have in the interval $-1000\leq x \leq 1000$?
|
D
|
math_Intermediate Algebra
|
mathematics
|
||
NLP4Education_54
|
NLP4Education
|
Which of the following statements are true?
A. Increasing the number of training examples always improves the prediction accuracy of a $k$-nearest-neighbor classifier.
B. A $k$-nearest-neighbor classifier is sensitive to outliers.
C. $k$-nearest-neighbors can only be used for classification, not regression.
D. Training a $k$-nearest-neighbor classifier is more computationally expensive than making predictions with it.
|
B. A $k$-nearest-neighbor classifier is sensitive to outliers.
|
machine_learning
|
computer_science
|
||
mmlu_aux_train_99171
|
mmlu_aux_train
|
There are zero amphibians on
A. Mexico
B. Icebergs
C. England
D. Texas
|
B. Icebergs
|
high_school_biology
|
biology
|
||
pythonio_4
|
pythonio-mc
|
Program:
def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return (res)
Input:
similar_elements((1, 2, 3, 4),(5, 4, 3, 7))
Output:
|
D
|
code
|
computer_science
|
||
math_2166
|
math_mc
|
For each integer $n$ greater than 1, let $F(n)$ be the number of solutions of the equation $\sin x = \sin nx$ on the interval $[0, \pi]$. What is $\sum_{n=2}^{2007} F(n)$?
|
D
|
math_Precalculus
|
mathematics
|
||
aquarat_26164
|
deepmind/aqua_rat
|
A pair of prime numbers that can be expressed in the form {p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
|
A. 11 B. 13 C. 17 D. 19 E. 23
|
D. 19
|
{x-6, x, x+6} all must be primes. Substitute options for x to check whether this will hold true. If x=19, then x+6=25, which is not a prime.
Answer: D
|
abstract_algebra
|
mathematics
|
mmlu_aux_train_30080
|
mmlu_aux_train
|
The earth is not the only body that travels around the sun. With it are eight other planets, fellow members of the sun's family. Two of them, Mercury and Venus, are nearer while the other six, namely Mars, Jupiter, Saturn, Uranus, Neptune and Pluto, also in their given order from the sun, are farther from the sun than the earth is. The farther they are, the longer trips they make around the sun. People noticed long ago that these traveling bodies moved around in the sky in definite paths. It is a force called gravity that holds them in their paths. We know that every little bit of matter in the universe pulls upon every other bit of matter. The pull between two bodies is proportional to the product of their masses. Because the sun is so large the pull between the sun and the planets are thus great. If it were not for this pull, the planets would fly off into space. In the same way there exists a pull between the earth and the moon, which keeps the moon traveling in its orbit around our planet, the earth. Gravity holds you to its surface, and pulls back to it the ball which you throw into the air. Of course the ball also pulls on the larger earth but the earth is so much larger that the pull is not noticed. Now remember that large bodies exert a greater pull than smaller ones which contain less material. But each object in the universe, no matter how small, pulls on all other objects to some degree. There are _ that travel around the sun in the sun's family.
A. nine planets
B. eight planets
C. one star and ten planets
D. the earth and the sun
|
A. nine planets
|
astronomy
|
physics
|
||
pythonio_669
|
pythonio-mc
|
Program:
def div_of_nums(nums,m,n):
result = list(filter(lambda x: (x % m == 0 or x % n == 0), nums))
return result
Input:
div_of_nums([10,15,14,13,18,12,20],10,5)
Output:
|
B
|
code
|
computer_science
|
||
pythonio_605
|
pythonio-mc
|
Program:
from itertools import groupby
def pack_consecutive_duplicates(list1):
return [list(group) for key, group in groupby(list1)]
Input:
pack_consecutive_duplicates(['a', 'a', 'b', 'c', 'd', 'd'])
Output:
|
C
|
code
|
computer_science
|
||
math_1600
|
math_mc
|
The American Mathematics College is holding its orientation for incoming freshmen. The incoming freshman class contains fewer than $500$ people. When the freshmen are told to line up in columns of $23$, $22$ people are in the last column. When the freshmen are told to line up in columns of $21$, $14$ people are in the last column. How many people are in the incoming freshman class?
|
D
|
math_Number Theory
|
mathematics
|
||
allenai/sciq_3641
|
allenai/sciq
|
A phase diagram plots temperature and what else?
A. pressure
B. movement
C. friction
D. power
|
A. pressure
|
Both temperature and pressure have an effect on the phase in which a given substance exists. A plot of temperature vs. pressure that indicates the states of matter present at each point is known as a phase diagram . Figure below shows the phase diagram for water.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_4593
|
allenai/sciq
|
The field of organic chemistry studies the structure and reactivity of compounds containing what element?
A. nitrogen
B. oxygen
C. carbon
D. hydrogen
|
C. carbon
|
Since then, the distinction between organic and inorganic compounds and reactions has blurred. Currently, the field of organic chemistry studies the structure and reactivity of nearly all carbon-containing compounds. Over twenty million organic compounds are known, ranging from very simple molecules to complex proteins.
|
high_school_chemistry
|
chemistry
|
|
math_764
|
math_mc
|
Square $ABCD$ has center $O,\ AB=900,\ E$ and $F$ are on $AB$ with $AE<BF$ and $E$ between $A$ and $F, m\angle EOF =45^\circ,$ and $EF=400.$ Given that $BF=p+q\sqrt{r},$ where $p,q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$
|
A
|
math_Geometry
|
mathematics
|
||
aquarat_25916
|
deepmind/aqua_rat
|
In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?
|
A. 22 B. 15 C. 77 D. 17 E. 11
|
B. 15
|
Assume total students in the class = 100
Then Girls = 60% (100) = 60
Poor girls = 25% (60) = 15
So probability that a poor girls is selected leader = Poor girls / Total students = 15/100 = 15%
Answer:B
|
high_school_statistics
|
mathematics
|
mmlu_aux_train_99023
|
mmlu_aux_train
|
When liquefied soil flows over carcasses and drys it will become
A. lakes
B. diamonds
C. bubbles
D. fossilized
|
D. fossilized
|
high_school_biology
|
biology
|
||
NLP4Education_490
|
NLP4Education
|
Tick the \textbf{false} statement. The Shannon Encryption Model ...
A. requires a black-box encryption model.
B. assumes a known input distribution.
C. assumes the key is independent from the message.
D. requires the correctness property $\Pr[C_K^{-1}(C_K(X))=X]=1$.
|
A. requires a black-box encryption model.
|
computer_security
|
computer_science
|
||
math_1806
|
math_mc
|
What is the smallest positive integer with six positive odd integer divisors and twelve positive even integer divisors?
|
B
|
math_Number Theory
|
mathematics
|
||
pythonio_231
|
pythonio-mc
|
Program:
def get_ludic(n):
ludics = []
for i in range(1, n + 1):
ludics.append(i)
index = 1
while(index != len(ludics)):
first_ludic = ludics[index]
remove_index = index + first_ludic
while(remove_index < len(ludics)):
ludics.remove(ludics[remove_index])
remove_index = remove_index + first_ludic - 1
index += 1
return ludics
Input:
get_ludic(45)
Output:
|
D
|
code
|
computer_science
|
||
NLP4Education_313
|
NLP4Education
|
Consider a linear regression model on a dataset which we split into a training set and a test set. After training, our model gives a mean-squared error of 0.1 on the training set and a mean-squared error of 5.3 on the test set. Recall that the mean-squared error (MSE) is given by:
$$MSE_{\mathbf{w}}(\mathbf{y}, \mathbf{X}) = \frac{1}{2N} \sum_{n=1}^N (y_n - \mathbf{x}_n^\top \mathbf{w})^2$$
Which of the following statements is correct?
A. Adding more polynomial features to the model is likely to reduce the gap between train and test MSE.
B. Using ridge regression can help reduce the gap between the training MSE and the test MSE.
C. Removing some training samples will likely reduce the difference between the training and test MSE.
D. Using cross-validation will directly decrease the training MSE of the model.
|
B. Using ridge regression can help reduce the gap between the training MSE and the test MSE.
|
machine_learning
|
computer_science
|
||
mmlu_aux_train_94724
|
mmlu_aux_train
|
Which seismic wave phenomenon, found at structural boundaries, allows scientists to interpret the interior structure of Earth?
A. refraction of waves
B. generation of new waves
C. transformation of transverse waves into longitudinal waves
D. transformation of mechanical waves into electromagnetic waves
|
A. refraction of waves
|
college_physics
|
physics
|
||
aquarat_12912
|
deepmind/aqua_rat
|
There are 5 sweets – Milk peda, Ice cream, Rasagulla Paper sweet and Rasamalai that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Paper sweet is not eaten on Monday
2) If Milk peda is eaten on Monday, then Paper sweet must be eaten on Friday
3) If Paper sweet is eaten on Tuesday, Ice cream should be eaten on Monday
4) Rasagulla should be eaten on the day preceding to the day of eating Milk peda.
Based on the above, Rasagulla can be eaten on any day except?
|
A. Tuesday B. Monday C. Wednesday D. Friday E. Sunday
|
D. Friday
|
as Milk peda is eaten on Monday, then Paper sweet must be eaten on Friday
and Rasagulla should be eaten on the day preceding to the day of eating Milk peda
so milk peda cannot be eaten on monday as day preceding it is friday and condition 2 denies rasagulla on friday
ANSWER:D
|
formal_logic
|
mathematics
|
allenai/sciq_11500
|
allenai/sciq
|
What causes the particles of medium to move parallel to the direction of the wave?
A. Sound waves.
B. longitudinal waves
C. fluid waves
D. mechanical waves
|
B. longitudinal waves
|
Longitudinal waves cause the particles of medium to move parallel to the direction of the wave.
|
conceptual_physics
|
physics
|
|
mmlu_aux_train_95038
|
mmlu_aux_train
|
The way that electrical conductors works in ways such as
A. sticking a plug into an outlet to power a microwave
B. turning on a coffee pot in the morning
C. making sure that a hair dryer is unplugged after use
D. turning on lights in a room
|
A. sticking a plug into an outlet to power a microwave
|
electrical_engineering
|
engineering
|
||
math_1026
|
math_mc
|
In triangle $ABC$, $BC = 8$. The length of median $AD$ is 5. Let $M$ be the largest possible value of $AB^2 + AC^2$, and let $m$ be the smallest possible value. Find $M - m$.
|
D
|
math_Geometry
|
mathematics
|
||
NLP4Education_635
|
NLP4Education
|
Tick the \textbf{incorrect} assertion. Let $H:\left\{ 0,1 \right\}^*\rightarrow\left\{ 0,1 \right\}^n$ be a hash function.
A. We can use $H$ to design a commitment scheme.
B. We can use $H$ to design a key derivation function.
C. Finding $x,y \in \left\{ 0,1 \right\}^*$ such that $x \neq y$ and $H(x) = H(y)$ can be done in $O(2^{n/2})$ time.
D. Given $x \in \left\{ 0,1 \right\}^*$, finding a $y \in \left\{ 0,1 \right\}^*$ such that $x \neq y$ and $H(x) = H(y)$ can be done in $O(2^{n/2})$ time.
|
D. Given $x \in \left\{ 0,1 \right\}^*$, finding a $y \in \left\{ 0,1 \right\}^*$ such that $x \neq y$ and $H(x) = H(y)$ can be done in $O(2^{n/2})$ time.
|
computer_security
|
computer_science
|
||
NLP4Education_807
|
NLP4Education
|
Which of the following arguments is correct?
A. All students in this class understand math. Alice is a student in this class. Therefore, Alice doesn’t understand math.
B. Every physics major takes calculus. Mathilde is taking calculus. Therefore, Mathilde is a physics major.
C. All cats like milk. My pet is not a cat. Therefore, my pet does not like milk.
D. Everyone who eats vegetables every day is healthy. Linda is not healthy. Therefore, Linda does not eat vegetables every day.
|
D. Everyone who eats vegetables every day is healthy. Linda is not healthy. Therefore, Linda does not eat vegetables every day.
|
formal_logic
|
mathematics
|
||
mmlu_aux_train_5505
|
mmlu_aux_train
|
It's exciting to imagine how future humans will have solved the problems we have now, or what amazing new inventions will make our lives more convenient and interesting. We asked top scientists to share their predictions on what the world will be like in a century. If they're right, the 2114 is going to be really cool. 1. Robots will do your chores and more Robots will be doing most of our jobs, from building homes to teaching math. There are already robots that clean floors and pump gas. In the future they will be more complicated and useful. Unfortunately, with robots taking all the jobs, unemployment will be high. 2. You will read minds. Speaking of being social, we will communicate in an entirely different way. Forget texts and emails. Mind-reading technology will allow us to send thoughts to each other without speaking a word. We will also be able to send thoughts to objects around us. (Instead of pressing "start" on the microwave, you could just think "start.") Meanwhile, chips implanted(in our brains will improve memory and intelligence. 3. Your car will drive you Today, around 30,000 Americans die in car accidents each year. One hundred years form now, accidents will be a thing of the past. According to Mark Safford, consultant or the U.S. Department of Transportation, future cars will drive themselves. These electric cars will communicate with other cars on the road to travel safely in close formation at high speeds. 4. You will eat fake meat. Raising animals is not an efficient way to produce food, and it harms the environment: Cows, chickens, and pigs eat a lot, and then we have to deal with all that poop(. What's more, that poop can up poisoning lakes, rivers, and streams. Today, scientists can "grow" meat in a lab from animal cells, but it's expensive and not very delicious. In the future, they will have perfected the process. You'll order hamburgers that come from factories, not cows. Scientists may even find ways to make lab-grown meat tastier and healthier than the real thing. According to the passage, what is likely to happen when robots become more common in the future?
A. People will be much lazier.
B. More people will lose their jobs.
C. People may become physically weaker.
D. More people may become less intelligent.
|
B. More people will lose their jobs.
|
high_school_computer_science
|
computer_science
|
||
pythonio_608
|
pythonio-mc
|
Program:
def unique_sublists(list1):
result ={}
for l in list1:
result.setdefault(tuple(l), list()).append(1)
for a, b in result.items():
result[a] = sum(b)
return result
Input:
unique_sublists([[1, 2], [3, 4], [4, 5], [6, 7]])
Output:
|
B
|
code
|
computer_science
|
||
mmlu_aux_train_49867
|
mmlu_aux_train
|
Cell phone use and texting are increasingly common, especially among teens. And that could be a problem. Texting affects learning and performing on test, a new study finds. So a Montana teen, Colin decided to test that. They asked 47 classmates to take part in a two-part experiment. The goal was to test how well these students understood written material. Each one had to read a paragraph or two about a certain topic, then answer questions about it. In the first part, the participants had 15 minutes to understand and then answer questions about six readings. Throughout this test, they met no distractions. During a new set of readings, the brothers sent messages to the participants' cell phones every 90 seconds. In each message, there were questions that required a reply. Participants should have scored better on the second test because it was easier. In fact, they scored worse when distracted by messages. Only a few students scored as well when replying to messages as they did when undistracted. But importantly, nobody performed better during the texting part. The brothers presented details of their findings at the Intel International Science and Engineering Fair. Boys and girls scored equally poorly while texting, the brothers noticed. Older participants didn't do any better than younger ones. And it didn't matter if a student thought he was good at multitasking. On average, the brothers found that even students who were confident of their abilities did just as poorly while texting. Surprisingly, even though the students remembered less of what they read while texting, most of them answered questions in messages perfectly. "Our teachers are very happy to see these results," says Coler. The teens' new data strongly support their teachers' opinion that texting while studying is a serious distraction. What did Colter and Colin want to test?
A. Cell phone use and texting are more common.
B. Teens should avoid cell phone use and texting.
C. Texting affects students' performance on test.
D. The effect of texting differs from person to person.
|
C. Texting affects students' performance on test.
|
high_school_biology
|
biology
|
||
mmlu_aux_train_52347
|
mmlu_aux_train
|
Danger-junkie orangutans in Borneo climb dead trees and shake then until they begin to fall. They scream with excitement as they cling to the falling tree. Just before the tree hits the ground the orangutans leap to another tree or vine, narrowly escaping death. While no one cab ask orangutans if they enjoy it as a person playing an extreme sport, one animal behaviorist sees this monkey fun as a bit of harmless thrill-seeking. A growing number of scientists agree that animals are conscious and capable of experiencing basic emotions , such as happiness, sadness, boredom or depression. A few scientists even see the possibility for higher animal emotions like love, jealousy and spite. Five years ago, behaviorist and animal-rights activist Dr. Jonathan Balcombe stood on a Virginia hotel balcony watching two crows intimately groom each other in the comfort of an abandoned billboard. He felt that the birds liked what they were doing, even if engaged in a natural, beneficial act, such as picking parasites off the other's feathers. That moment changed the way he would view animals forever and led to a book, "Pleasurable Kingdom: Animals and the Nature of Feeling Good", which is filled with hundreds of examples of animals living it up thanks to developed senses of touch, taste, sight, sound and smell. Balcombe recounts a favorite example of Kenyan hippos having high-end spa treatment in a fresh water spring. They splay their toes, open their mouths wide and wait for a school of cleaner fish to remove parasites and slough off dead skin, he recalls. Balcombe knows that the hippos and the fish both benefit from this arrangement. "My interpretation is that it is also enjoyable for them ," he says. Danger-junkie orangutans shook the tree to _ .
A. get some fruits
B. enjoy themselves
C. train their escaping skills
D. frighten other animals
|
B. enjoy themselves
|
high_school_biology
|
biology
|
||
NLP4Education_494
|
NLP4Education
|
A \textit{Cryptographic Certificate} is the $\ldots$
A. signature of the user who certifies that a public key belongs to the authority.
B. signature of the user who certifies that a public key belongs to the user.
C. signature of the authority who certifies that a public key belongs to a specific user.
D. diploma which certifies that one has taken the Cryptography and Security Course.
|
C. signature of the authority who certifies that a public key belongs to a specific user.
|
computer_security
|
computer_science
|
||
mmlu_aux_train_42530
|
mmlu_aux_train
|
DEAR Daughter, We have not seen you for a while now, so I thought we might check in. Did you fall off the edge of the Earth? Your mother worries, you know, and I am just curious. Well, I am more than curious. I feel abandoned. Apparently you've dumped us for your career. I can understand that, because you've always had a wonderful work ethic . Look, obviously your long absence has confused us. As we go about our daily routines, your mother and I are distracted - both by your absence and our pride in your career. The other day, I entered my work password into the microwave, then stood there cursing it for not working. And I was so off my game that I actually used that cholesterol-free mayo your mother insisted on buying in an effort to drive me from the house. Listen, a lot has happened since you've been away. Abraham Lincoln was shot. We had two more children - a princess, now 23; a boy, now 12. Yesterday I bought a very clean 2001 Camaro car from an older woman. Your mother is not happy about this. She says it is the kind of muscle car driven by ex-convicts when they examine your house at 2 am. In response, I tell her it was the car of my dreams (when I was 18). So that's where your long absence has left us. Your long absence is not so bad, though we miss your roaring laughter ... the way your cheeks flush when you eat Thai food. How you always march too hard into the house, like a Scotsman stepping on snakes. Each evening, your mother now waits by the window the way she did when you used to step off the bus in first grade, your hair full of rubber bands. Bet that drove you crazy even then, her running out on the porch like you'd just returned from a month-long journey to the moon. Look, parents are not easy people. But should the urge ever hit you, feel free to stop by some time. Our house is your house. Our hearts are yours too. And your mother is still waiting by the window. Love, Dad The author entered his work password into the microwave because _ .
A. all kinds of passwords made him confused
B. he was thinking too much about his work
C. he was affected by his daughter's long absence
D. he was getting old and he had forgotten how to use the microwave
|
C. he was affected by his daughter's long absence
|
high_school_computer_science
|
computer_science
|
||
pythonio_719
|
pythonio-mc
|
Program:
import heapq
def nth_super_ugly_number(n, primes):
uglies = [1]
def gen(prime):
for ugly in uglies:
yield ugly * prime
merged = heapq.merge(*map(gen, primes))
while len(uglies) < n:
ugly = next(merged)
if ugly != uglies[-1]:
uglies.append(ugly)
return uglies[-1]
Input:
nth_super_ugly_number(10,[2,7,13,19])
Output:
|
A
|
code
|
computer_science
|
||
allenai/sciq_2008
|
allenai/sciq
|
What is the condition called where pimples form on the skin?
A. dermatitis
B. acne
C. cramping
D. blushing
|
B. acne
|
About 85 percent of teens develop acne, like the boy in Figure below . Acne is a condition in which pimples form on the skin. It is caused by a bacterial infection. It happens when the sebaceous glands secrete too much sebum. The excess oil provides a good place for bacteria to grow. Keeping the skin clean helps prevent acne. Over-the-counter products or prescription drugs may be needed if the problem is serious or doesn’t clear up on its own.
|
high_school_biology
|
biology
|
|
NLP4Education_303
|
NLP4Education
|
Mark any of the following functions that have unique maximizers:
A. \( f(x) = -x^{2}, \quad x \in[-10,10] \)
B. \( f(x) = x^{2}, \quad x \in[-10,10] \)
C. \( f(x) = \cos (2 \pi x), \quad x \in[-1,1] \)
D. \( f(x) = \ln (x), \quad x \in[-10,0) \)
|
A. \( f(x) = -x^{2}, \quad x \in[-10,10] \)
|
college_mathematics
|
mathematics
|
||
NLP4Education_267
|
NLP4Education
|
When searching for an entity 𝑒𝑛𝑒𝑤 that has a given relationship 𝑟 with a given entity 𝑒
A. We search for 𝑒𝑛𝑒𝑤 that have a similar embedding vector to 𝑒
B. We search for 𝑒𝑛𝑒𝑤 that have a similar embedding vector to 𝑒𝑜𝑙𝑑 which has relationship 𝑟 with 𝑒
C. We search for pairs (𝑒𝑛𝑒𝑤, 𝑒) that have similar embedding to (𝑒𝑜𝑙𝑑, 𝑒)
D. We search for pairs (𝑒𝑛𝑒𝑤, 𝑒) that have similar embedding to (𝑒𝑜𝑙𝑑, 𝑒) for 𝑒𝑜𝑙𝑑 which has relationship 𝑟 with 𝑒
|
C. We search for pairs (𝑒𝑛𝑒𝑤, 𝑒) that have similar embedding to (𝑒𝑜𝑙𝑑, 𝑒)
|
machine_learning
|
computer_science
|
||
pythonio_874
|
pythonio-mc
|
Program:
import re
def change_date_format(dt):
return re.sub(r'(\d{4})-(\d{1,2})-(\d{1,2})', '\\3-\\2-\\1', dt)
return change_date_format(dt)
Input:
change_date_format('2021-01-04')
Output:
|
B
|
code
|
computer_science
|
||
math_264
|
math_mc
|
Real numbers $a$ and $b$ satisfy the equations $3^a=81^{b+2}$ and $125^b=5^{a-3}$. What is $ab$?
|
A
|
math_Algebra
|
mathematics
|
||
mmlu_aux_train_98687
|
mmlu_aux_train
|
Some plants have developed the ability to do what with their seeds?
A. put makeup on
B. go running
C. catapult
D. do magic
|
C. catapult
|
high_school_biology
|
biology
|
||
allenai/sciq_1981
|
allenai/sciq
|
Digestion and respiration are both facilitated by the pharynx, more commonly called the what?
A. nose
B. esophagus
C. throat
D. sinus
|
C. throat
|
The Pharynx The pharynx (throat) is involved in both digestion and respiration. It receives food and air from the mouth, and air from the nasal cavities. When food enters the pharynx, involuntary muscle contractions close off the air passageways. A short tube of skeletal muscle lined with a mucous membrane, the pharynx runs from the posterior oral and nasal cavities to the opening of the esophagus and larynx. It has three subdivisions. The most superior, the nasopharynx, is involved only in breathing and speech. The other two subdivisions, the oropharynx and the laryngopharynx, are used for both breathing and digestion. The oropharynx begins inferior to the nasopharynx and is continuous below with the laryngopharynx (Figure 23.12). The inferior border of the laryngopharynx connects to the esophagus, whereas the anterior portion connects to the larynx, allowing air to flow into the bronchial tree.
|
high_school_biology
|
biology
|
|
allenai/sciq_9609
|
allenai/sciq
|
What is the only planet that rotates clockwise as viewed from its north pole?
A. mars
B. uranus
C. venus
D. earth
|
C. venus
|
Venus is the only planet that rotates clockwise as viewed from its North Pole. All of the other planets rotate counterclockwise. Venus turns slowly, making only one turn every 243 days. This is longer than a year on Venus! It takes Venus only 225 days to orbit the Sun.
|
astronomy
|
physics
|
|
math_1888
|
math_mc
|
Simplify the expression $x - 2(1+x) + 3(1-x) - 4(1+2x)$.
|
D
|
math_Prealgebra
|
mathematics
|
||
aquarat_85438
|
deepmind/aqua_rat
|
Pointing to a girl in the photograph, Amar said, "Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar ?
|
A. Mother B. Sister C. Aunt D. Grandmother E. Brother
|
C. Aunt
|
Explanation:
Only son of Amar's mother's father — Amar's maternal uncle.
So, the girl's maternal uncle is Arnar's maternal uncle. Thus, the girl's mother is Amar's aunt.
Answer: C
|
formal_logic
|
mathematics
|
allenai/sciq_8314
|
allenai/sciq
|
As distance from the source increases, the area covered by the sound waves increases, lessening what?
A. intensity
B. velocity
C. density
D. duration
|
A. intensity
|
The energy of sound waves spreads out over a greater area as the waves travel farther from the sound source. This diagram represents just a small section of the total area of sound waves spreading out from the source. Sound waves actually travel away from the source in all directions. As distance from the source increases, the area covered by the sound waves increases, lessening their intensity.
|
conceptual_physics
|
physics
|
|
NLP4Education_87
|
NLP4Education
|
Which of the following is WRONG for Ontologies?
A. Different information systems need to agree on the same ontology in order to interoperate.
B. They help in the integration of data expressed in different models.
C. They give the possibility to specify schemas for different domains.
D. They dictate how semi-structured data are serialized.
|
D. They dictate how semi-structured data are serialized.
|
computer_security
|
computer_science
|
||
allenai/sciq_2798
|
allenai/sciq
|
Phase labels - and even special conditions - are sometimes included for the substances that are part of what?
A. carbon equations
B. chemical equations
C. solid equations
D. toxic equations
|
B. chemical equations
|
Many chemical equations also include phase labels for the substances: (s) for solid, (ℓ) for liquid, (g) for gas, and (aq) for aqueous (i. , dissolved in water). Special conditions, such as temperature, may also be listed above the arrow. For example, 2NaHCO.
|
high_school_chemistry
|
chemistry
|
|
math_462
|
math_mc
|
A box contains six cards. Three of the cards are black on both sides, one card is black on one side and red on the other, and two of the cards are red on both sides. You pick a card uniformly at random from the box and look at a random side. Given that the side you see is red, what is the probability that the other side is red? Express your answer as a common fraction.
|
D
|
math_Counting & Probability
|
mathematics
|
||
aquarat_90559
|
deepmind/aqua_rat
|
70,75, 76,75,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
|
A. 1 B. 2 C. 3 D. 4 E. 5
|
D. 4
|
How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.
We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 4 data points below 100-22.4=77.6, namely 70,75, 76 and 75.
Answer: D.
|
high_school_statistics
|
mathematics
|
mmlu_aux_train_2495
|
mmlu_aux_train
|
A perpetual motion machine is a theoretical device which, once started, continues to operate without any additional input of energy. Which statement describes why a perpetual motion machine is impossible to design?
A. Energy can be converted into mass.
B. Friction reduces the efficiency in a system.
C. The amount of energy in a system remains constant.
D. Potential energy can be converted into kinetic energy.
|
B. Friction reduces the efficiency in a system.
|
conceptual_physics
|
physics
|
||
allenai/sciq_1909
|
allenai/sciq
|
What causes lightning during a thunderstorm?
A. difference in temperature
B. difference in elevation
C. difference in charge
D. difference in wind
|
C. difference in charge
|
During a thunderstorm, some parts of a thunderhead become negatively charged. Other parts become positively charged. The difference in charge creates lightning. Lightning is a huge release of electricity. Lightning can jump between oppositely charged parts of the same cloud, between one cloud and another, or between a cloud and the ground. You can see lightning in Figure below . Lightning blasts the air with energy. The air heats and expands so quickly that it explodes. This creates the loud sound of thunder .
|
conceptual_physics
|
physics
|
|
mmlu_aux_train_32541
|
mmlu_aux_train
|
Riding on an exercise bike at home may keep you in physical shape, but it can get pretty boring after a while. Aaron Puzey had been on his exercise bike for half an hour a day for years when he decided to look for a way to make it a bit more fun. With virtual reality technology widely available nowadays, all be needed to do was find a way of applying it to his needs. So he set out to build an app for the Samsung Galaxy Gear VR headset which would allow him to hook it up to Google Street view and make it seem like he's cycling through different real-life locations. Building the app to download the 3D data from Street View and make it viewable in the VR headset was the toughest part of his project. Other than that, all he needed to do was tape a Bluetooth monitor to his exercise bike. Although the quality of the images sometimes leaves a lot to be desired,leaving complex scenes like trees looking like a mess,Aaron has been having a lot of fun on his journey. Aaron's project is obviously no substitute (> for real outdoor cycling as it Lacks things like the wind blowing in your face or the pain of battling an uphill climb, bul it has given him a goal, as well as the chance to take in the beauty of places he might have otherwise never seen. It definitely beats staring at a wall or at the TV for 30 minutes, anyway. Obviously, Aaron's setup theoretically allows him to ride a bike anywhere around the world. He says he ba6 always wanted to see Japan, so once his ride comes to an end, he plans to start another one across the Land of the Rising Sun. Why did Aaron Puzey build the app?
A. To invent a new kind of bicycle.
B. To participate in a competition.
C. To satisfy the needs of the public.
D. To add fun to his exercise bike routine*
|
D. To add fun to his exercise bike routine*
|
computer_security
|
computer_science
|
||
aquarat_27240
|
deepmind/aqua_rat
|
If BELT is coded as 27 and JUMPED is coded as 54, then CHAIRS is coded as
|
A. 10 B. 21 C. 40 D. 92 E. None
|
C. 40
|
BELT= 2+5+12+20=39 i.e 3*9=27
JUMPED= 10+21+13+16+5+4=69 i.e 6*9=54
CHAIRS= 3+8+1+9+18+19 =58 5*8=40
ANSWER:C
|
formal_logic
|
mathematics
|
mmlu_aux_train_64706
|
mmlu_aux_train
|
By installing the software, you acknowledge that you have read all of the terms and conditions of this agreement and agree to be bound by them. Click "YES" and continue to install the game. If you do not agree to the terms of this agreement, click "NO" and directly return to the entire package to the place of purchase for a full refund . LIMITED LICENSE: You may use this software for your own use, but may not sell or reproduce the software in any way. You may use one copy of the software on a single computer. You may not network the software or use it on more than one computer at the same time. OWNERSHIP; COPYRIGHT: Title to the software, patents, copyrights, and all other property rights shall at all times remain entirely with Great Games. Software is protected by law and by international treaty. You may not cause or permit the software to be disclosed, copied, modified, adapted, or otherwise reduced to human readable form. LIMITED WARRANTY : Great Games warrants for a period of ninety days from the purchase of this copy of the game that the software is free from errors or defects that will seriously interfere with the operation of the software as described in the Documentation. If you believe you have found any such error or defect in the software during the warranty period and are in the United States, call Great Games' helpline at 800-383-2647 between the hours of 8:00 a.m. and 12:00 p.m. midnight, Monday through Friday, holidays excluded, and provide your Product Number; or if you are outside the United States, send your original software disc to Great Games at 3281 N. Risk St., Ocala, FL, 32410. Include your return address and Great Games will replace the disc within a reasonable period of time. What must the users make clear before installing the software?
A. The place to get a full refund.
B. The contents of the agreement.
C. When to click "YES" or "NO".
D. Why to be bound by the agreement.
|
B. The contents of the agreement.
|
computer_security
|
computer_science
|
||
math_1385
|
math_mc
|
Find the smallest positive integer $a$ such that $x^4 + a^2$ is not prime for any integer $x.$
|
C
|
math_Intermediate Algebra
|
mathematics
|
||
mmlu_aux_train_99516
|
mmlu_aux_train
|
If a rock has been exposed to prolonged heat, what might the effect be?
A. Shrinking
B. Breaking
C. Erosion
D. Melting
|
C. Erosion
|
college_earth_science
|
earth_science
|
||
math_1691
|
math_mc
|
A triangular array of numbers has a first row consisting of the odd integers $1,3,5,\ldots,99$ in increasing order. Each row below the first has one fewer entry than the row above it, and the bottom row has a single entry. Each entry in any row after the top row equals the sum of the two entries diagonally above it in the row immediately above it. How many entries in the array are multiples of $67$?
|
B
|
math_Number Theory
|
mathematics
|
||
mmlu_aux_train_98895
|
mmlu_aux_train
|
Which likely can hydrate without moving?
A. a panda
B. a bamboo stalk
C. a raccoon
D. a dog
|
B. a bamboo stalk
|
high_school_biology
|
biology
|
||
allenai/sciq_1932
|
allenai/sciq
|
What type of cells are multiple small spaces located in the right and left sides of the ethmoid bone?
A. ethmoid air cells
B. alveoli
C. ethmoid vacuoles
D. amniotic sacs
|
A. ethmoid air cells
|
Figure 7.18 Paranasal Sinuses The paranasal sinuses are hollow, air-filled spaces named for the skull bone that each occupies. The most anterior is the frontal sinus, located in the frontal bone above the eyebrows. The largest are the maxillary sinuses, located in the right and left maxillary bones below the orbits. The most posterior is the sphenoid sinus, located in the body of the sphenoid bone, under the sella turcica. The ethmoid air cells are multiple small spaces located in the right and left sides of the ethmoid bone, between the medial wall of the orbit and lateral wall of the upper nasal cavity.
|
college_medicine
|
biology
|
|
aquarat_9614
|
deepmind/aqua_rat
|
If MANGO is written as 41576 and APPLE is written as 17735, then GRAPES would be written as:
|
A. 7999340 B. 7835610 C. 7226710 D. 7913350 E. 7917510
|
E. 7917510
|
E
7917510
All letters whose position in the alphabet is below 10, are being represented by their position number.
All letters whose position is 10 or more, are being represented by their position number minus ten.
Therefore:
G is 7
R is 18-9=9
A is 1
P is 16-9=7
E is 5
S is 19-9=10
|
formal_logic
|
mathematics
|
allenai/sciq_3920
|
allenai/sciq
|
As temperature increases, the solubility of the majority of solid substances does what?
A. stays the same
B. mutates
C. increases
D. reduces
|
C. increases
|
The solubility of the majority of solid substances increases as the temperature increases. However, the effect is difficult to predict and varies widely from one solute to another. The temperature dependence of solubility can be visualized with the help of a solubility curve , a graph of the solubility vs. temperature (see Figure below ).
|
high_school_chemistry
|
chemistry
|
|
math_2172
|
math_mc
|
A projection takes $\begin{pmatrix} 4 \\ 4 \end{pmatrix}$ to $\begin{pmatrix} \frac{60}{13} \\ \frac{12}{13} \end{pmatrix}.$ Which vector does the projection take $\begin{pmatrix} -2 \\ 2 \end{pmatrix}$ to?
|
A
|
math_Precalculus
|
mathematics
|
||
allenai/sciq_5024
|
allenai/sciq
|
The simplest organic compounds have hydrogen and what else?
A. nitrogen
B. oxygen
C. sodium
D. carbon
|
D. carbon
|
The simplest organic compounds are those composed of only two elements: carbon and hydrogen. These compounds are called hydrocarbons. Hydrocarbons themselves are separated into two types: aliphatic hydrocarbons and aromatic hydrocarbons. Aliphatic hydrocarbons are hydrocarbons based on chains of C atoms. There are three types of aliphatic hydrocarbons. Alkanes are aliphatic hydrocarbons with only single covalent bonds. Alkenes are hydrocarbons that contain at least one C–C double bond, and alkynes are hydrocarbons that contain a C–C triple bond. Occasionally, we find an aliphatic hydrocarbon with a ring of C atoms; these hydrocarbons are calledcycloalkanes (or cycloalkenes or cycloalkynes). Aromatic hydrocarbons have a special six-carbon ring called a benzene ring. Electrons in the benzene ring have special energetic properties that give benzene physical and chemical properties that are markedly different from alkanes. Originally, the term aromatic was used to describe this class of compounds because they were particularly fragrant. However, in modern chemistry the term aromatic denotes the presence of a six-membered ring that imparts different and unique properties to a molecule. The simplest alkanes have their C atoms bonded in a straight chain; these are callednormal alkanes. They are named according to the number of C atoms in the chain. The smallest alkane is methane:.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_6329
|
allenai/sciq
|
Molecular geometry is the three-dimensional arrangement of atoms in a what?
A. nucleus
B. molecule
C. DNA
D. genes
|
B. molecule
|
Molecular geometry is the three-dimensional arrangement of atoms in a molecule. The molecular geometry, or shape, of a molecule is an important factor that affects the physical and chemical properties of a compound. Those properties include melting and boiling points, solubility, density, and the types of chemical reactions that a compound undergoes. In this lesson, you will learn a technique to predict molecular geometry based on a molecule’s Lewis electron dot structure.
|
high_school_chemistry
|
chemistry
|
|
NLP4Education_654
|
NLP4Education
|
In ElGamal signature scheme and over the random choice of the public parameters in the random oracle model (provided that the DLP is hard), existential forgery is \ldots
A. impossible.
B. hard on average.
C. easy on average.
D. easy.
|
B. hard on average.
|
computer_security
|
computer_science
|
||
allenai/sciq_6167
|
allenai/sciq
|
Exposure to toxins is most damaging during weeks 4 through 8 of the embryonic stage due to development of what during this period?
A. samples
B. pain
C. faith
D. organs
|
D. organs
|
Embryonic Development (Weeks 4–8). Most organs develop in the embryo during weeks 4 through 8. If the embryo is exposed to toxins during this period, the effects are likely to be very damaging. Can you explain why? (Note: the drawings of the embryos are not to scale. ).
|
college_biology
|
biology
|
|
math_2086
|
math_mc
|
The equation of the line joining the complex numbers $-2 + 3i$ and $1 + i$ can be expressed in the form
\[az + b \overline{z} = 10\]for some complex numbers $a$ and $b$. Find the product $ab$.
|
C
|
math_Precalculus
|
mathematics
|
||
math_1576
|
math_mc
|
Let $\mathcal{S}$ be the set of real numbers that can be represented as repeating decimals of the form $0.\overline{abc}$ where $a, b, c$ are distinct digits. Find the sum of the elements of $\mathcal{S}.$
|
C
|
math_Number Theory
|
mathematics
|
||
math_2173
|
math_mc
|
If $\sin x + \sin y = \frac{96}{65}$ and $\cos x + \cos y = \frac{72}{65}$, then what is the value of $\tan x + \tan y$?
|
C
|
math_Precalculus
|
mathematics
|
||
aquarat_61150
|
deepmind/aqua_rat
|
Tommy makes a bet that a coin will land on heads 2 times out of 8. After the first 6 tosses, the coin has landed on heads twice and tails four times. What is the probability that Tommy will win the bet?
|
A. 1/4 B. 1/2 C. 1/8 D. 1/3 E. 1/6
|
A. 1/4
|
For Tommy to win, the coin must land on tails for both the remaining two tosses.
The probability of this happening given a fair coin is 1/2 * 1/2 = 1/4
Answer:A
|
high_school_statistics
|
mathematics
|
aquarat_28301
|
deepmind/aqua_rat
|
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2012) = ?
|
A. 2013 B. 2088 C. 270 D. 1881 E. 1781
|
A. 2013
|
f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2012) = 2013
Ans: A
|
college_mathematics
|
mathematics
|
allenai/sciq_11171
|
allenai/sciq
|
What is located beneath the lithosphere?
A. troposphere
B. asthenosphere
C. hydropshere
D. magnetosphere
|
B. asthenosphere
|
Beneath the lithosphere, the asthenosphere is solid rock that can flow.
|
college_earth_science
|
earth_science
|
|
mmlu_aux_train_96695
|
mmlu_aux_train
|
Herbivores like to dine on
A. gravel
B. other herbivores
C. crustaceans
D. chlorophyll
|
D. chlorophyll
|
high_school_biology
|
biology
|
||
math_1306
|
math_mc
|
Let $x,$ $y,$ and $z$ be positive real numbers such that $x + y + z = 1.$ Find the minimum value of
\[\frac{x + y}{xyz}.\]
|
A
|
math_Intermediate Algebra
|
mathematics
|
||
aquarat_16112
|
deepmind/aqua_rat
|
For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers are there between #6 +2 and #6 +6 , inclusive?
|
A. None B. One C. Two D. Three E. Four
|
A. None
|
Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.
Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes in this range.
Answer: A.
|
college_mathematics
|
mathematics
|
allenai/sciq_4775
|
allenai/sciq
|
What do neutral atoms have the same number of?
A. toxins and protons
B. Measure and electrons
C. gases and protons
D. electrons and protons
|
D. electrons and protons
|
Summary Each atom of an element contains the same number of protons, which is theatomic number (Z). Neutral atoms have the same number of electrons and protons. Atoms of an element that contain different numbers of neutrons are calledisotopes. Each isotope of a given element has the same atomic number but a different mass number (A), which is the sum of the numbers of protons and neutrons. The relative masses of atoms are reported using the atomic mass unit(amu), which is defined as one-twelfth of the mass of one atom of carbon-12, with 6 protons, 6 neutrons, and 6 electrons. The atomic mass of an element is the weighted average of the masses of the naturally occurring isotopes. When one or more electrons are added to or removed from an atom or molecule, a charged particle called an ion is produced, whose charge is indicated by a superscript after the symbol.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_35308
|
mmlu_aux_train
|
Obviously! Until Descartes came along in the seventeenth century, everyone assumed that we exited. Obviously. The fact seemed so mind-blowing obvious that it wasn't really discussed. We could see ourselves in the mirror, we could feel pain and pleasure, we could think thoughts for ourselves and, more importantly, perhaps, all the world's main religions assumed that we do exist. So we exist. No you don't it! You don't exist. That's because it's impossible to show once and for all that you do. There's no proof. You might think you exist-that you are sitting at a table reading this book, for instance-but how could you show with 100 percent certainty that this is true? There's no experiment that could prove it. Although Descartes said just you could prove your own existence by the fact that you are able to think, this isn't actually, according to the British philosopher A. J. Ayer. Just because we know that we are thinking, this doesn't mean that there is a "you" doing the thinking. It just shows that the thoughts are happening, not that anyone is having them. Thoughts exists, "You" don't. _ ! What a waste of time this question is. Although you can argue until the end of time whether you exist or not, it doesn't get you anywhere. Unless you forget about this unanswerable question, you'll be stuck thinking about it forever, and that isn't of any use to anyone. Move on. Think about something more important! This very roughly, is the view of almost all philosophers, who prefer to answer other, apparently more useful, questions. Yes, but... You exist, but not in the way you might think. According to the great French philosopher Ren Descartes, you can't show that anything exists--apart from your own self. The existence of the entire world can be doubted in one way or another, but the facts you're having thoughts shows that there might be something (that's you) having them. This let Descartes to write the famous philosophical phrase, " I think before I am". Which of the following can be the missing heading?
A. Forget about it
B. What a ridiculous point
C. Think about it
D. What a pointless question
|
D. What a pointless question
|
formal_logic
|
mathematics
|
||
math_2117
|
math_mc
|
There exist two distinct unit vectors $\mathbf{v}$ such that the angle between $\mathbf{v}$ and $\begin{pmatrix} 2 \\ 2 \\ -1 \end{pmatrix}$ is $45^\circ,$ and the angle between $\mathbf{v}$ and $\begin{pmatrix} 0 \\ 1 \\ -1 \end{pmatrix}$ is $60^\circ.$ Let $\mathbf{v}_1$ and $\mathbf{v}_2$ be these vectors. Find $\|\mathbf{v}_1 - \mathbf{v}_2\|.$
|
B
|
math_Precalculus
|
mathematics
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.