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_4424 | deepmind/aqua_rat | What is the probability of getting exactly 4 heads in a single throw of five fair coins? | A. 1/4 B. 3/8 C. 3/16 D. 5/32 E. 7/32 | D. 5/32 | One possible case is HHHHT.
P(HHHHT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C4 = 5 possible cases.
P(4 heads) = 5*1/32 = 5/32
The answer is D. | high_school_statistics | mathematics |
pythonio_673 | pythonio-mc | Program:
def count_duplic(lists):
element = []
frequency = []
if not lists:
return element
running_count = 1
for i in range(len(lists)-1):
if lists[i] == lists[i+1]:
running_count += 1
else:
frequency.append(running_count)
elemen... | A | code | computer_science | ||
math_1060 | math_mc | A cylindrical log has diameter $12$ inches. A wedge is cut from the log by making two planar cuts that go entirely through the log. The first is perpendicular to the axis of the cylinder, and the plane of the second cut forms a $45^\circ$ angle with the plane of the first cut. The intersection of these two planes has e... | B | math_Geometry | mathematics | ||
pythonio_230 | 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_l... | A | code | computer_science | ||
pythonio_908 | pythonio-mc | Program:
def len_log(list1):
min=len(list1[0])
for i in list1:
if len(i)<min:
min=len(i)
return min
Input:
len_log(["win","lose","great"])
Output: | B | code | computer_science | ||
aquarat_53654 | deepmind/aqua_rat | A train moves with a speed of 162 kmph. Its speed in metres per second is | A. 10.8 B. 18 C. 30 D. 38.8 E. 45 | E. 45 | Solution
Speed = 108 Kmph
= (162 x 5/18)m/sec
= 45 m/sec.
Answer E | high_school_physics | physics |
mmlu_aux_train_98798 | mmlu_aux_train | in which of these conditions could one most likely skid off the road?
A. driving on a dry day
B. driving in optimal conditions
C. driving on an icy day
D. driving on a clear day | C. driving on an icy day | conceptual_physics | physics | ||
allenai/sciq_6805 | allenai/sciq | Oxytocin, which stimulates the contractions of labor, is a type of what?
A. steroid
B. metabolite
C. inhibitor
D. hormone | D. hormone | A common sign that labor will be short is the so-called “bloody show. ” During pregnancy, a plug of mucus accumulates in the cervical canal, blocking the entrance to the uterus. Approximately 1–2 days prior to the onset of true labor, this plug loosens and is expelled, along with a small amount of blood. Meanwhile, the... | college_biology | biology | |
aquarat_91852 | deepmind/aqua_rat | A present value of a machine is $1200. Its value depletion rate is 10% per annum then find the machine value after 2 years? | A. $972 B. $810 C. $915 D. $715 E. $795 | A. $972 | P= $1200
R = 10%
T = 2 years
Machine value after 2 years = P[(1-R/100)^T]
=1200*9/10 * 9/10
=$972
Answer is A | college_mathematics | mathematics |
mmlu_aux_train_98428 | mmlu_aux_train | Which human is more likely to be free of scars
A. a pro athlete
B. an active kid
C. an old man
D. an unborn boy | D. an unborn boy | high_school_biology | biology | ||
math_506 | math_mc | On a standard die one of the dots is removed at random with each dot equally likely to be chosen. The die is then rolled. What is the probability that the top face has an odd number of dots? | B | math_Counting & Probability | mathematics | ||
math_120 | math_mc | Evaluate the sum \[\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{k}{2^k} + \cdots \] | B | math_Algebra | mathematics | ||
NLP4Education_31 | NLP4Education | Select the answer that correctly describes the differences between formal and natural languages.
A. Formal languages are by construction explicit and non-ambiguous, while natural languages are implicit and ambiguous.
B. Formal languages are implicit and ambiguous, while natural languages are explicit and non-ambiguous.... | A. Formal languages are by construction explicit and non-ambiguous, while natural languages are implicit and ambiguous. | formal_logic | mathematics | ||
aquarat_43178 | deepmind/aqua_rat | If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ? | A. 1/2 B. 1/4 C. 3/4 D. 2/3 E. None of these | A. 1/2 | Explanation :
a∗b∗c/b∗c∗d= 130/65 => a/d = 2
d∗e∗f/c∗d∗e= 250/1000 => f/c = 14
a/d* f/c = 2 * 1/4 = 1/2
Answer : A | college_mathematics | mathematics |
math_1371 | math_mc | Suppose that the number $\sqrt{2700} - 37$ can be expressed in the form $(\sqrt a - b)^3,$ where $a$ and $b$ are positive integers. Find $a+b.$ | A | math_Intermediate Algebra | mathematics | ||
math_946 | math_mc | Points $A$, $B$, $C$, and $T$ are in space such that each of $\overline{TA}$, $\overline{TB}$, and $\overline{TC}$ is perpendicular to the other two. If $TA = TB = 10$ and $TC = 9$, then what is the volume of pyramid $TABC$? | A | math_Geometry | mathematics | ||
allenai/sciq_7379 | allenai/sciq | The cells within meristems divide relatively frequently, generating additional what?
A. photosynthesis
B. cells
C. proteins
D. chlorophyll | B. cells | high_school_biology | biology | ||
mmlu_aux_train_82015 | mmlu_aux_train | You've heard of 3D printing from newspaper and TV programs. It can "print" in plastic, metal, nylon, and over a hundred other materials. 3D printing technology has been around since the 1980s, it was not widely used until the early 2010s. The first working 3D printer was created in 1984 by Chuck Hull. 3D printers use m... | B. 1984 | college_computer_science | computer_science | ||
mmlu_aux_train_93171 | mmlu_aux_train | Water enters a plant cell through the
A. cell wall.
B. chloroplasts.
C. mitochondria.
D. nucleus. | A. cell wall. | high_school_biology | biology | ||
math_456 | math_mc | Four distinct points, $A$, $B$, $C$, and $D$, are to be selected from $1996$ points evenly spaced around a circle. All quadruples are equally likely to be chosen. What is the probability that the chord $\overline{AB}$ intersects the chord $\overline{CD}$? | D | math_Counting & Probability | mathematics | ||
allenai/sciq_6182 | allenai/sciq | The ends of linear chromosomes are maintained by the action of which enzyme?
A. cytokine
B. insulin
C. pepsin
D. telomerase | D. telomerase | Figure 9.11 The ends of linear chromosomes are maintained by the action of the telomerase enzyme. | college_biology | biology | |
NLP4Education_511 | NLP4Education | Using salt for UNIX passwords …
A. allows to speed up the verification for the server.
B. makes the protocol secure against computationally unbounded adversary.
C. allows to transmit the password over a non confidential channel without compromising the security.
D. helps preventing dictionary attacks. | D. helps preventing dictionary attacks. | computer_security | computer_science | ||
allenai/sciq_8339 | allenai/sciq | Gain or loss of what causes an atom to become a negatively or positively charged ion?
A. nucleus
B. protons
C. electrons
D. neutrons | C. electrons | The girl pictured above became negatively charged because electrons flowed from the van de Graaff generator to her. Whenever electrons are transferred between objects, neutral matter becomes charged. This occurs even with individual atoms. Atoms are neutral in electric charge because they have the same number of negati... | high_school_chemistry | chemistry | |
math_1188 | math_mc | Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$ Find the minimum value of
\[\frac{1}{a} + \frac{2}{b}.\] | D | math_Intermediate Algebra | mathematics | ||
math_957 | math_mc | Let $R = (8,6)$. The lines whose equations are $8y = 15x$ and $10y = 3x$ contain points $P$ and $Q$, respectively, such that $R$ is the midpoint of $\overline{PQ}$. The length of $PQ$ equals $\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
| B | math_Geometry | mathematics | ||
mmlu_aux_train_10750 | mmlu_aux_train | Julianna Huth, a second grader at Green Primary School, in Green, Ohio, is a fan of the digital world. The 8-year-old enjoys e-books at home and at school. "It's just cool that you can read on your IPad," said Julianna, who started using e-books when she was 6. "It's more fun and you learn more from it." Children would... | D. is crazy about reading e-books | high_school_computer_science | computer_science | ||
mmlu_aux_train_54406 | mmlu_aux_train | Zach drove over to Mary's place. She would be his wife soon. She was in China, visiting her parents. Her son Bradley hadn't gone with her. Bradley was a junior in high school. He neither liked nor disliked Zach, even though he had known Zach for three years. Zach was still trying to get along well with Bradley. When Za... | A. You are not my dad, but I begin to love you! | high_school_computer_science | computer_science | ||
allenai/sciq_5419 | allenai/sciq | What changes the chemical composition of a substance and can only occur through a chemical reaction?
A. mineral changes
B. Oxygen Changes
C. carbon changes
D. chemical changes | D. chemical changes | Pure substances, such as compounds, can be separated through chemical changes. Chemical changes change the chemical composition of a substance and can only occur through a chemical reaction. | high_school_chemistry | chemistry | |
mmlu_aux_train_62484 | mmlu_aux_train | Technology is making life easier for some dairy farmers.They use robotic systems to milk their cows.Cows are trained to follow a series of paths that lead to milking stations.Only one cow at a time can enter a station. Once inside,the cow is rewarded with food.As the cow eats,a robotic arm cleans and connects the anim... | B. judge the quality of fresh milk | college_biology | biology | ||
pythonio_834 | pythonio-mc | Program:
def find_fixed_point(arr, n):
for i in range(n):
if arr[i] is i:
return i
return -1
Input:
find_fixed_point([-10, -1, 0, 3, 10, 11, 30, 50, 100],9)
Output: | C | code | computer_science | ||
mmlu_aux_train_96352 | mmlu_aux_train | A rod that is wobbling from being struck with a stick will
A. be sold
B. be silent
C. be audible
D. be frozen | C. be audible | conceptual_physics | physics | ||
mmlu_aux_train_40604 | mmlu_aux_train | Every day it seems that people are coming up with new and innovative ways to use mobile devices like cellphones and smart phones. Researchers at Princeton University are looking for new ways to measure a person's sense of _ with mobile devices. To gain a better understanding of how cellphones and other mobile devices c... | B. About 270 people from 13 countries participated in the study. | college_computer_science | computer_science | ||
pythonio_361 | pythonio-mc | Program:
def Repeat(x):
_size = len(x)
repeated = []
for i in range(_size):
k = i + 1
for j in range(k, _size):
if x[i] == x[j] and x[i] not in repeated:
repeated.append(x[i])
return repeated
Input:
Repeat([10, 20, 30, 20, 20, 30, 40, 50, -20, ... | A | code | computer_science | ||
NLP4Education_224 | NLP4Education | Which of the following statements is correct?
A. When applying stochastic gradient descent on the objective function $f(\boldsymbol{w}):=\sum_{n=1}^{30}\left\|\boldsymbol{w}-\boldsymbol{x}_{n}\right\|^{2}$ where $\boldsymbol{x}_{n}$ are the datapoints, a stochastic gradient step is roughly $30 \times$ faster than a ful... | A. When applying stochastic gradient descent on the objective function $f(\boldsymbol{w}):=\sum_{n=1}^{30}\left\|\boldsymbol{w}-\boldsymbol{x}_{n}\right\|^{2}$ where $\boldsymbol{x}_{n}$ are the datapoints, a stochastic gradient step is roughly $30 \times$ faster than a full gradient step. | machine_learning | computer_science | ||
mmlu_aux_train_76361 | mmlu_aux_train | When people are dirty, they take a bath or a shower. Animals don't have soap , but they do keep themselves clean. Many animals with hair, such as dogs and cats, keep themselves clean by licking their hair. They also use their teeth to pull out small dirty things from their hair. When they lick their hair, it is almost... | B. take sand baths | high_school_biology | biology | ||
aquarat_29558 | deepmind/aqua_rat | The present worth of $3600 due in 2 years at 20% per annum compound interest is? | A. $1200 B. $1850 C. $2010 D. $3200 E. $2500 | E. $2500 | Present worth = 3600/ (1 + 20/100)^2 = 3600 * 5/6 * 5/6 = $2500
Answer is E | college_mathematics | mathematics |
aquarat_15207 | deepmind/aqua_rat | Factory X's bulbs work for over 5000 hours in 78% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 90% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? | A. 76.4% B. 76.7% C. 77.4% D. 75% E. 73.9% | B. 76.7% | For X, 90% of 78% will work.
For Y, 10% of 65% will work. *10% is the rest of the bulb supply in the market.
So, the probability that a purchased bulb will work is:
0.90(0.78) = .702
0.10(0.65) = 0.065
The combined probability then is 70.2 + 6.5 = 76.7%
ANS B | high_school_statistics | mathematics |
mmlu_aux_train_45249 | mmlu_aux_train | A telescope , called Gaia, is being designed by astronomers in Europe, and it couldn't be more different from Pan-STARRS, which is another telescope being designed. While Pan-STARRS will be looking for asteroids and comets headed for Earth, Gaia will be looking at our entire galaxy . Gaia is designed to draw a map ... | A. 2 . | astronomy | physics | ||
allenai/sciq_7415 | allenai/sciq | What are the most dramatic, sudden, and dangerous types of mass wasting?
A. landslides
B. monsoons
C. earthquakes
D. volcanoes | A. landslides | Landslides are the most dramatic, sudden, and dangerous types of mass wasting. Landslides are sudden falls of rock; by contrast, avalanches are sudden falls of snow. | college_geology | earth_science | |
aquarat_52815 | deepmind/aqua_rat | The arithmetic mean of set P is zero. If Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P consisting of all those elements in P which are more than two but less than three standard deviations away from the arithmetic mean of P, what could be equal to the standard deviation of P? | A. 0.54 B. 0.77 C. 0.82 D. 0.97 E. 1.62 | B. 0.77 | This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P
Q consists of all those elements in P that are more than 2 but less than 3 SDs away from the arithmetic mean of P
If an ele... | college_mathematics | mathematics |
mmlu_aux_train_22563 | mmlu_aux_train | The Internet is not perfect. There are many problems with it. The Internet is not organized. There is no one in charge of the Internet. It is sometimes difficult to find what you are looking for. It is also easy to get the wrong information on the "Net". Some businessmen cheat people on the Internet. Internet thieves c... | B. Because there is no one in charge of the Internet. | computer_security | computer_science | ||
mmlu_aux_train_93095 | mmlu_aux_train | During its lifetime, which object is known to change in brightness, color, and temperature?
A. star
B. moon
C. asteroid
D. planet | A. star | astronomy | physics | ||
math_1077 | math_mc | A square is inscribed in a circle. A smaller square has one side coinciding with a side of the larger square and has two vertices on the circle, as shown. What percent of the area of the larger square is the area of the smaller square?
[asy]
draw(Circle((0,0),1.4142));
draw((1,1)--(1,-1)--(-1,-1)--(-1,1)--cycle);
dr... | B | math_Geometry | mathematics | ||
math_276 | math_mc | There are two values of $a$ for which the equation $4x^2+ax+8x+9=0$ has only one solution for $x$. What is the sum of those values of $a$? | B | math_Algebra | mathematics | ||
math_406 | math_mc | If $x+\frac{1}{y}=1$ and $y+\frac{1}{z}=1$, what is the value of the product $xyz$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_1740 | mmlu_aux_train | Two students are asked to make a chart on the electromagnetic spectrum. Reading left to right, one student's chart shows the spectrum from gamma rays to radio waves, while the other student's chart shows the opposite. If the teacher says that both charts are correct, then
A. it does not matter how the students label t... | B. there are multiple ways to organize information. | high_school_physics | physics | ||
mmlu_aux_train_94329 | mmlu_aux_train | The orbit of Earth is almost circular and has a period of about 365 days. Compared to the orbit of Earth, which of these objects usually have highly elliptical orbits and can have periods of over 1000 years?
A. asteroids
B. meteorites
C. comets
D. moons | C. comets | astronomy | physics | ||
mmlu_aux_train_1224 | mmlu_aux_train | The pull of gravity on Earth is a direct result of the
A. mass of Earth.
B. magnetic field of Earth.
C. rotation of Earth on its axis.
D. weight of Earth's atmosphere. | A. mass of Earth. | conceptual_physics | physics | ||
math_409 | math_mc | Anthony made $5$ of his first $12$ free throw attempts. If he makes $2/3$ of his next $24$ attempts, by how many percentage points will he increase his overall success rate percentage? Express your answer to the nearest whole number. | B | math_Algebra | mathematics | ||
mmlu_aux_train_92797 | mmlu_aux_train | Based on the evidence available at the time, early models of the solar system stated that all objects in space orbited Earth. In the 16th century, an astronomer reevaluated the evidence and proposed a model of the solar system that is still in use. What part of this model corrected the mistake in previous solar system ... | A. The Sun is at the center of this model. | astronomy | physics | ||
mmlu_aux_train_96351 | mmlu_aux_train | A clean air act must be followed by a
A. web design course
B. hard drive manufacturer
C. math class
D. computer programming course | B. hard drive manufacturer | computer_security | computer_science | ||
math_633 | math_mc | A bug starts at a vertex of an equilateral triangle. On each move, it randomly selects one of the two vertices where it is not currently located, and crawls along a side of the triangle to that vertex. Given that the probability that the bug moves to its starting vertex on its tenth move is $m/n,$ where $m$ and $n$ are... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_25868 | mmlu_aux_train | Worst Game Ever? E.T. the Extra-Terrestrial is a video game that came out for the Atari 2600 game system in 1982. It was based on a very popular film of the same name. Star programmer Howard Warshaw created it with consultation from the film director Steven Spielberg. It was July 27th, 1982. Howard Warshaw was hot off ... | A. He was ambitious. | high_school_computer_science | computer_science | ||
aquarat_26539 | deepmind/aqua_rat | A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. | A. 45 m3/min B. 40 m3/min C. 50 m3/min D. 55 m3/min E. None of these | C. 50 m3/min | 2400/x - 2400/x+10=8,solving this we get x,
=50m3/min
Answer: C | college_mathematics | mathematics |
pythonio_897 | pythonio-mc | Program:
def count_elim(num):
count_elim = 0
for n in num:
if isinstance(n, tuple):
break
count_elim += 1
return count_elim
Input:
count_elim([10,20,30,(10,20),40])
Output: | C | code | computer_science | ||
mmlu_aux_train_33074 | mmlu_aux_train | For many blind people, computers are inaccessible. It can cost $1,000 to purchase "screen reader" software, but two blind computer programmers from Australia have solved this problem. Queensland University of Technology (QUT) graduate James Teh and business partner Michael Curran developed a free, open-source program, ... | B. influences people' s lives | high_school_computer_science | computer_science | ||
math_230 | math_mc | The line $x = k$ intersects the graph of the parabola $x = -2y^2 - 3y + 5$ at exactly one point. What is $k$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_4382 | mmlu_aux_train | Many people like to use microwave ovens rather than traditional ovens. The main reason for this is that microwave ovens
A. take less time to cook food than regular ovens do.
B. get hotter than regular ovens.
C. do not leave spattered grease or food on the inside.
D. cannot overcook food. | A. take less time to cook food than regular ovens do. | conceptual_physics | physics | ||
allenai/sciq_2366 | allenai/sciq | The name carbon tetrachloride implies one carbon atom and four of which other atoms?
A. calcium
B. iodine
C. chlorine
D. nitrogen | C. chlorine | The name carbon tetrachloride implies one carbon atom and four chlorine atoms, so the formula is CCl4. Saylor URL: http://www. saylor. org/books. | high_school_chemistry | chemistry | |
allenai/sciq_4734 | allenai/sciq | An electrical motor changes electrical energy into what?
A. mechanical energy
B. solar energy
C. chemical energy
D. thermal energy | A. mechanical energy | Electrical motors change electrical energy into mechanical energy. The motor consists of an electrical circuit with part of the wires inside a magnetic field. This can be seen below. Positive charges move through the circuit in the direction of the light purple arrows. When the charges move up through the part of the c... | electrical_engineering | engineering | |
mmlu_aux_train_2064 | mmlu_aux_train | Which is true of the seasonal weather patterns of places that are at the same latitude?
A. They have the same wind patterns.
B. They have the same amount of rain.
C. They have the same intensity of sunlight.
D. They have the same kinds of severe weather. | C. They have the same intensity of sunlight. | astronomy | physics | ||
allenai/sciq_9197 | allenai/sciq | What is the release of energy in the form of high energy electromagnetic waves?
A. gamma emission
B. normal emission
C. transient emission
D. x-ray emission | A. gamma emission | Gamma emission is the release of energy in the form of high energy electromagnetic waves. | high_school_physics | physics | |
math_247 | math_mc | What real number is equal to the expression $2 + \frac{4}{1 + \frac{4}{2 + \frac{4}{1 + \cdots}}}$, where the $1$s and the $2$s alternate? | D | math_Algebra | mathematics | ||
mmlu_aux_train_16645 | mmlu_aux_train | The idea of micropayments--- charging Web users tiny amounts of money for single pieces of online content--- was basically put to sleep toward the end of the dot-com boom. In December 2000, Clay Shirky, a professor in New York University's interactive telecommunications program , wrote a manifesto that people still ... | B. Web users would never pay for the websites | college_computer_science | computer_science | ||
mmlu_aux_train_47466 | mmlu_aux_train | Gaudi 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 the similarities end: this bag can wirelessly keep track of your belongings and ... | C. are being applied in some different areas now | high_school_computer_science | computer_science | ||
mmlu_aux_train_41108 | mmlu_aux_train | A middle school student ,who jumped into the hot seat when his school bus driver passed out on the way to class this morning is being praised as a "quick thinker" for leading the bus. and 15 other students .to safety. Seventh grader Jeremy Wuitschick is being praised by the local police chief for his actions. Wuitschic... | D. Wuitschick had been well trained in dealing with emergencies | high_school_computer_science | computer_science | ||
math_981 | math_mc | $\triangle DEF$ is inscribed inside $\triangle ABC$ such that $D,E,F$ lie on $BC, AC, AB$, respectively. The circumcircles of $\triangle DEC, \triangle BFD, \triangle AFE$ have centers $O_1,O_2,O_3$, respectively. Also, $AB = 23, BC = 25, AC=24$, and $\stackrel{\frown}{BF} = \stackrel{\frown}{EC},\ \stackrel{\frown}{AF... | C | math_Geometry | mathematics | ||
mmlu_aux_train_4904 | mmlu_aux_train | Which process will separate the sugar from a mixture of sugar and water?
A. Stirring the mixture
B. Evaporating the water
C. Adding more water
D. Adding more sugar | B. Evaporating the water | high_school_chemistry | chemistry | ||
aquarat_50819 | deepmind/aqua_rat | If QUESTION = DOMESTIC what will b code for RESPONSE ? | A. OMESICEM B. HSDUISAH C. SSIDFUGD D. SDIFUGAU E. UIDFGWIW | A. OMESICEM | Explanation:
Q U E S T I O N
D O M E S T I C
We can see in the word 'RESPONSE' only R and P are the letters whose code is not given, by having a look on options we can say code for R is O and code for P is S (because common in all options).
Now we can easily code the word 'RESPONSE'as 'OMESICEM'.
Answer : A | formal_logic | mathematics |
aquarat_65925 | deepmind/aqua_rat | Lion, rat stay in jungle happily. Lion lies on: Mon, Tue, Wed. Rat lies on: Wed, Thurs , Sat. If lion says: I didn't lie yesterday. Rat says: I didn’t lie yesterday. So what day is today? | A. Tuesday B. wednesday C. Thursday D. Friday E. Sunday | A. Tuesday | Tuesday -- lion ll tell lie on tuesday
lion is saying lie that he didn't lie sday [ again a lie... bcozzz lion ll say lie on monday also]
Tuesday -- Rat ll not say lie on tuesday
ANSWER:A | formal_logic | mathematics |
math_48 | math_mc | The circle $2x^2 = -2y^2 + 12x - 4y + 20$ is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square? | C | math_Algebra | mathematics | ||
NLP4Education_342 | NLP4Education | Consider 3 regular expressions \(A\), \(B\), and \(C\), such that: the sets of strings recognized by each of the regular expressions is non empty; the set of strings recognized by \(B\) is included in the set of strings recognized by \(A\); some strings are recognized simultaneously by \(A\) and by \(C\); and no string... | D. \((B\otimes A)\circ (C)\) recognizes a non empty set of string associations. | college_computer_science | computer_science | ||
allenai/sciq_9097 | allenai/sciq | Double-replacement reactions generally occur between substances in what kind of solution?
A. solid
B. aqueous
C. reactive
D. saline | B. aqueous | In this reaction, and are positively-charged cations, while and are negatively-charged anions. Double-replacement reactions generally occur between substances in aqueous solution. In order for a reaction to occur, one of the products is usually a solid precipitate, a gas, or a molecular compound such as water. | high_school_chemistry | chemistry | |
NLP4Education_423 | NLP4Education | Which problem in communication is \emph{not} treated by cryptography?
A. confidentiality
B. integrity
C. authentication
D. data transmission | D. data transmission | computer_security | computer_science | ||
NLP4Education_358 | NLP4Education | Consider the program below. Tick the correct answer.
def fun(x: List[Int]) = if x.isEmpty then None else Some(x)
val lists = List(List(1, 2, 3), List(), List(4, 5, 6))
for
l <- lists
v1 <- fun(l)
v2 <- fun(v1)
yield v2
A. This program does not compile.
B. This program compiles and the last statement has typ... | C. This program compiles and the last statement has type List[List[Int]]. | college_computer_science | computer_science | ||
mmlu_aux_train_89616 | mmlu_aux_train | A study reported: using a computer at home may be bad for a child's performance in math, science and English. It can't improve them. Children are spending more time chatting , playing games or sending and they aren't doing their homework. Li Jun, Hunan Now more and more people are buying and selling things on the Int... | C. It's bad for children's study. | high_school_computer_science | computer_science | ||
pythonio_905 | pythonio-mc | Program:
from collections import Counter
def most_common_elem(s,a):
most_common_elem=Counter(s).most_common(a)
return most_common_elem
Input:
most_common_elem('lkseropewdssafsdfafkpwe',3)
Output: | C | code | computer_science | ||
aquarat_65162 | deepmind/aqua_rat | The mean of 15 observations was 25. It was found later that an observation 40 was wrongly taken as 25. The corrected new mean is | A. 20 B. 30 C. 15 D. 18 E. 26 | E. 26 | Explanation:
Correct Sum = (25* 15 + 40 - 25) = 390
Correct mean = = 390/15 = 26
Answer: E | high_school_statistics | mathematics |
allenai/sciq_8928 | allenai/sciq | The changing of a light ray’s direction (loosely called bending) when it passes through variations in matter is called this?
A. vibration
B. wavelength
C. resonance
D. refraction | D. refraction | Refraction The changing of a light ray’s direction (loosely called bending) when it passes through variations in matter is called refraction. Speed of Light The speed of light c not only affects refraction, it is one of the central concepts of Einstein’s theory of relativity. As the accuracy of the measurements of the ... | conceptual_physics | physics | |
mmlu_aux_train_96752 | mmlu_aux_train | Due to plates gliding over our planet's mantle, why is Vancouver likely to be destroyed?
A. it sits on an active fault line
B. it's located in Canada
C. it has French people
D. the Pacific Ocean is only half as blue as the Atlantic | A. it sits on an active fault line | earth_science | earth_science | ||
aquarat_60433 | deepmind/aqua_rat | A boatman trying to cross the river.the width of the river is 400m.he is selling boat with 10m/sec.he takes 50sec to cross the river due to flow of water.calculate the drift. | A. 500 B. 400 C. 300 D. 200 E. 100 | C. 300 | the distance boatman travel to cross the river=50*10=500m
he sell the boat diagonally.so height =400m,base be x and hypotenuse =500m
so by Pythagoras theorem, square of 400+ square of x=square of 500
so,square of x = 250000-160000
x=√250000-160000,x=√90000=300
drift =300m
answer C | conceptual_physics | physics |
allenai/sciq_3013 | allenai/sciq | What common code do all known living organisms use?
A. code of ethics
B. Morse code
C. genetic
D. biochemical | C. genetic | The genetic code is universal. All known living organisms use the same genetic code. This shows that all organisms share a common evolutionary history. | college_biology | biology | |
aquarat_76097 | deepmind/aqua_rat | A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is | A. 3 B. 1 C. 2 D. 5 E. 6 | A. 3 | Put x =1 ⇒ f(1)+2*f(6-1) = 1 ⇒ f(1) + 2*f(5) = 1
Put x = 5 ⇒ f(5)+2*f(6-5) = 5 ⇒ f(5) + 2*f(1) = 5
Put f(5) = 5 - 2*f(1) in the first equation
⇒ f(1) + 2*(5 - 2*f(1)) = 1
⇒ f(1) + 10 - 4f(1) = 1
⇒ f(1) = 3
Answer: A | college_mathematics | mathematics |
mmlu_aux_train_94356 | mmlu_aux_train | Generally, the deeper rock layers of Earth are older than shallower rock layers. How can the collision of two tectonic plates change the order of the rock layers?
A. The rock layers contain pollutants that dissolve soil.
B. The rock layers lack water due to extended droughts.
C. The rock layers are compressed forming ... | C. The rock layers are compressed forming faults and folds. | earth_science | earth_science | ||
NLP4Education_507 | NLP4Education | The Vernam cipher…
A. …is perfectly secure (if used in a proper way).
B. …can be broken using an index of coincidence.
C. …is always less secure than DES.
D. …has a security which depends on the Moore law. | A. …is perfectly secure (if used in a proper way). | computer_security | computer_science | ||
math_42 | math_mc | What is the sum of all values of $k$ such that the equation $2x^2-kx+8=0$ has two distinct integer solutions? | B | math_Algebra | mathematics | ||
pythonio_11 | pythonio-mc | Program:
def count_ways(n):
A = [0] * (n + 1)
B = [0] * (n + 1)
A[0] = 1
A[1] = 0
B[0] = 0
B[1] = 1
for i in range(2, n+1):
A[i] = A[i - 2] + 2 * B[i - 1]
B[i] = A[i - 1] + B[i - 2]
return A[n]
Input:
count_ways(12)
Output: | B | code | computer_science | ||
math_464 | math_mc | Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron. How many distinguishable ways are there to construct the octahedron? (Two colored octahedrons are distinguishable if neither can be rotated to look just like the other.)
[asy] import three; import math; unitsiz... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_29502 | mmlu_aux_train | When some plates of the earth move suddenly, an earthquake happens. Many earthquakes begin under the sea. Earthquakes may happen anywhere on the earth. They often happen near mountains. During an earthquake, the shakings make rocks rise suddenly and even crack open. Houses fall, people are killed and hurt, and sometime... | D. Earthquake Today and Tomorrow | college_biology | biology | ||
aquarat_37256 | deepmind/aqua_rat | what is the minimum value of f(x) where
f(x)=(logax+logbx+logcx) and a>b>c>1.. | A. 3 B. 2 C. 1 D. 4 E. 5 | A. 3 | here a,b,c are base for log..they aren't multiplied with x.
so logax=logex/logea;
f(x)= (logx/loga + logx/logb+ logx/logc);
= logx * (1/loga + 1/logb + 1/logc);
for minimum value of f(x) log values must me max 1
=1*3
= 3
ANSWER:A | college_mathematics | mathematics |
mmlu_aux_train_1431 | mmlu_aux_train | Use The Periodic Table of the Elements and the information below to answer the question. Magnesium metal (Mg) is grayish-white in color and reacts actively with water. Fluorine (F2) is a greenish-yellow gas at room temperature and is a member of the halogen family. These two elements react to produce magnesium fluoride... | D. by chemically combining | high_school_chemistry | chemistry | ||
mmlu_aux_train_93503 | mmlu_aux_train | When a guitar string is plucked, sound is produced by
A. the size of the guitar.
B. the metal on the guitar.
C. the wood on the guitar.
D. the vibrations of the string. | D. the vibrations of the string. | conceptual_physics | physics | ||
aquarat_39924 | deepmind/aqua_rat | Given that -1 ≤ v ≤1, -2 ≤ u ≤ -0.5 and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ? | A. -0.5 ≤ w ≤ 2 B. -4 ≤ w ≤ 4 C. -4 ≤ w ≤ 2 D. -2 ≤ w ≤ 0.5 E. None of these | B. -4 ≤ w ≤ 4 | Explanation :
We try to get an upper bound on the value of w.
After taking a look at the options we figure it out that if we take v=-1,z=-2 and u=-0.5.
we get the lower bound as -4.
If we take v=1, z=-2 and u=-0.5 we have the upper bound as 4.
Hence, the right option is 2.ie -4 ≤ w ≤ 4
Answer : B | college_mathematics | mathematics |
aquarat_84890 | deepmind/aqua_rat | If 'A' runs faster than ‘E’ but not as fast as 'D' and 'D' runs faster than 'C' but not as fast as' ‘B’, then the person who runs the fastest is | A. A B. B C. C D. D E. E | B. B | B is the fastest
ANSWER:B | formal_logic | mathematics |
mmlu_aux_train_69897 | mmlu_aux_train | We are all busy talking about and using the Internet ,but how many of us know about the history of the Internet? Many people are surprised when they find that the Internet was set up in the 1960s.At that time, computers were large and expensive. Computer networks didn' t work well .If one computer in the network broke ... | C. more than 55 | high_school_computer_science | computer_science | ||
math_1462 | math_mc | The sequence $(a_n)$ satisfies
\[a_1 + a_2 + a_3 + \dots + a_n = n^2 a_n\]for all $n \ge 2.$ If $a_{63} = 1,$ find $a_1.$ | C | math_Intermediate Algebra | mathematics | ||
pythonio_637 | pythonio-mc | Program:
def sum_Odd(n):
terms = (n + 1)//2
sum1 = terms * terms
return sum1
def sum_in_Range(l,r):
return sum_Odd(r) - sum_Odd(l - 1)
Input:
sum_in_Range(2,5)
Output: | D | code | computer_science | ||
math_534 | math_mc | A cube is painted so that one side is blue, two sides are red, and three sides are green. How many different such cubes can be painted? Two cubes are considered the same if one cube can be rotated in any way to match the second cube. | D | math_Counting & Probability | mathematics | ||
allenai/sciq_922 | allenai/sciq | What is the measurement for the amount of water vapor in the air?
A. ambient
B. humidity
C. haze
D. saturation | B. humidity | A: Humidity is a measure of the amount of water vapor in the air. When humidity is high, sweat evaporates more slowly because there is already a lot of water vapor in the air. The slower evaporation rate reduces the potential for evaporative cooling. | high_school_physics | physics | |
aquarat_83321 | deepmind/aqua_rat | In how many seconds will a train 100 meters long pass an oak tree, if the speed of the train is 36 km/hr? | A. 6 B. 8 C. 10 D. 12 E. 14 | C. 10 | speed = 36 * 5/18 = 10 m/s
time = 100/10 = 10 seconds
The answer is C. | high_school_physics | physics |
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