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math_184
math_mc
Let $x^2+bx+c = 0$ be a quadratic whose roots are each two more than the roots of $3x^2-5x-7$. What is $c$?
A
math_Algebra
mathematics
aquarat_16011
deepmind/aqua_rat
If XY denotes X is raised to the power Y, Find the last two digits of 19413846+ 19614181
A. 67 B. 74 C. 82 D. 98 E. 34
C. 82
1941^3846 unit digit= 1^4=1 10th digit=4*6=24=2 means last two digit =41 and 1972^4181 unit digit=1 10th digit=7*2=14 mean last two digit= 41 hence, 41+41= 82
college_mathematics
mathematics
allenai/sciq_5283
allenai/sciq
What gas, that is dissolved in solution, is used in carbonated beverages? A. hydrogen peroxide B. carbon monoxide C. phosphorus dioxide D. carbon dioxide
D. carbon dioxide
Carbonated beverages contain carbon dioxide gas that is dissolved in solution. Do you think a carbonated beverage is a mixture or a pure substance? Explain.
high_school_chemistry
chemistry
mmlu_aux_train_22835
mmlu_aux_train
Imagine shopping for clothes online and being able to run your hand across the screen of your computer or smartphone to feel the materials. That kind of simulation technology could be available within the next five years. "We're talking about reinventing how computers interact with humans," said Bernie Meyerson, IBM...
B. what our lives will be like in the future
college_computer_science
computer_science
aquarat_659
deepmind/aqua_rat
If air is called green , green is called blue, blue is called orange, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
A. Orange B. Sky C. Water D. Yellow E. Black
A. Orange
Explanation: The colour of clear sky is 'blue' and as given, 'blue' is called 'orange'. So, the colour of clear sky is 'orange'. Answer: A
formal_logic
mathematics
allenai/sciq_8805
allenai/sciq
What simple sugar is the cell's primary source of energy? A. chloride B. nicotine C. carbon D. glucose
D. glucose
Molecular formulas tell us how many atoms of each element are present in one molecule of a molecular compound. In many cases, the molecular formula is the same as the empirical formula. For example, the molecular formula of methane is CH 4 , and because 1:4 is the smallest whole-number ratio that can be written for thi...
high_school_biology
biology
mmlu_aux_train_44504
mmlu_aux_train
What's the most expensive place to station an employee overseas? London? Tokyo? Sao Paulo? Try Luanda, Angola. That's the finding of a survey by Mercer, the world's largest human resources consulting firm, headquartered in New York City. Two African cities (Luanda, N'Djamena) were in the top 10, along with four (Moscow...
D. New York.
high_school_statistics
mathematics
mmlu_aux_train_1039
mmlu_aux_train
The Federal Family Film Enhancement Act 100. assesses an excise tax of 10% on the price of admission to public movie theaters when they show films that contain actual or simulated scenes of human sexual intercourse. Which of the following is the strongest argument against the constitutionality of this federal act? A. ...
D. The act imposes a tax solely on the basis of the content of speech without adequate justification and, therefore, it is prohibited by the freedom of speech clause of the First Amendment.
formal_logic
mathematics
aquarat_36476
deepmind/aqua_rat
In a college students can play cricket or basketball. 500 play cricket.220 played both and 600 played basketball. What is the total strength of college?
A. 800 B. 880 C. 920 D. 950 E. 980
B. 880
P(C)= 500 P(B)=600 P(C n B) =220 P(C U B)= P(C)+ P(B) - P(C n B) = 500+600-220= 880 ANSWER:B
college_mathematics
mathematics
allenai/sciq_5829
allenai/sciq
Why did people stop adding lead to gasoline? A. to expensive B. explosions C. environmental pollution D. bad smell
C. environmental pollution
Gasoline and oils are complex chemical mixtures designed to burn in a way that will efficiently produce energy while emitting a minimal amount of air pollution. The refining of gasoline has improved engine performance but is much more complicated than simply using the crude products extracted from oil wells, as was com...
high_school_chemistry
chemistry
mmlu_aux_train_2732
mmlu_aux_train
A student poured water into a plastic tray. The student then put the tray into the freezer. What property of the water changed as the water froze? A. The water became a gas. B. The mass of water increased. C. The water took a definite shape. D. The flavor of the water changed.
C. The water took a definite shape.
high_school_chemistry
chemistry
math_1084
math_mc
Let $\triangle ABC$ have side lengths $AB=30$, $BC=32$, and $AC=34$. Point $X$ lies in the interior of $\overline{BC}$, and points $I_1$ and $I_2$ are the incenters of $\triangle ABX$ and $\triangle ACX$, respectively. Find the minimum possible area of $\triangle AI_1I_2$ as $X$ varies along $\overline{BC}$.
C
math_Geometry
mathematics
allenai/sciq_2197
allenai/sciq
What is the term for a mountain-building event? A. glaciation B. volcanism C. erosion D. orogeny
D. orogeny
A mountain-building event is called an orogeny . Orogenies take place over tens or hundreds of millions of years. Continents smash into each other. Microcontinents and island arcs smash into continents. All of these events cause mountains to rise.
college_geology
earth_science
allenai/sciq_5426
allenai/sciq
What is the term for the dark brown or black coating found on exposed desert rocks, which is formed of iron and manganese oxides? A. desert shadow B. desert rust C. desert patina D. desert varnish
D. desert varnish
Exposed rocks in desert areas often develop a dark brown or black coating called desert varnish ( Figure below ). Wind transports clay-sized particles that chemically react with other substances at high temperatures. The coating is formed of iron and manganese oxides.
college_geology
earth_science
math_401
math_mc
Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.
C
math_Algebra
mathematics
allenai/sciq_9007
allenai/sciq
What is a measure of the change in velocity of a moving object? A. kinetic energy B. inclination C. vibration D. acceleration
D. acceleration
Acceleration is a measure of the change in velocity of a moving object. It shows how quickly velocity changes and whether the change is positive or negative. It may reflect a change in speed, a change in direction, or both.
conceptual_physics
physics
mmlu_aux_train_98338
mmlu_aux_train
If a beach is experiencing sneaker waves, which are very dangerous, it is likely due to A. our sun B. luna C. our trees D. our skies
B. luna
conceptual_physics
physics
allenai/sciq_10622
allenai/sciq
The primary amine in which the nitrogen atom is attached directly to a benzene ring has a special name, what is it? A. cyanide B. aldehyde C. nitrate D. aniline
D. aniline
The primary amine in which the nitrogen atom is attached directly to a benzene ring has a special name—aniline. Aryl amines are named as derivatives of aniline.
college_chemistry
chemistry
mmlu_aux_train_51827
mmlu_aux_train
Another common type of reasoning is the search for causes and results.We want to know whether cigarettes really do cause lung cancer, what causes malnutrition, the decay of cities, or the decay of teeth.We are equally interested in effects: what is the effect of sulphur or lead in the atmosphere, of oil spills and raw ...
C. some other common types of reasoning
formal_logic
mathematics
mmlu_aux_train_52171
mmlu_aux_train
Thirteen vehicles lined up last March to race across the Mojave Desert , seeking a million in prize money . To win , they had to finish the 142-mile race in less than 10 hours . Teams and watchers knew there might be no winner at all , because these vehicles were missinge a key part drivers . DARPA , the Defense Advanc...
A. they did not have any human guidance
machine_learning
computer_science
NLP4Education_620
NLP4Education
Tick the \textbf{false} assertion. In Linear Cryptanalysis, the corresponding mask circuit of \ldots A. a XOR gate ($X\oplus Y = Z$) is $a\cdot Z=(a\cdot X)\oplus (a\cdot Y)$ B. a XOR to constant gate ($Y=X\oplus K$) is $a\cdot Y = (a\cdot X)\oplus (a\cdot K)$ C. a linear circuit ($Y=M\times X$) is $a\cdot Y = (M\times...
C. a linear circuit ($Y=M\times X$) is $a\cdot Y = (M\times a)\cdot X$
computer_security
computer_science
aquarat_35641
deepmind/aqua_rat
A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two
A. brother sister relation B. sister sister-in-law relation C. daughter father relation D. daughter mother relation E. grand daughter father relation
A. brother sister relation
man(ram)--says-->friend(somu) Let the Daughter (ramya) (ram's)grandmother---->(ram's father)only son----->(ram's sister)Daughter. The relation between Ram & Ramya is brother sister relation ANSWER:A
formal_logic
mathematics
math_1293
math_mc
Find the number of real solutions to the equation \[\frac{1}{x - 1} + \frac{2}{x - 2} + \frac{3}{x - 3} + \dots + \frac{100}{x - 100} = x.\]
C
math_Intermediate Algebra
mathematics
allenai/sciq_9577
allenai/sciq
What compounds contain only carbon and hydrogen? A. hydrocarbons B. carbonates C. molecules D. particles
A. hydrocarbons
You can tell that this sponge is saturated with water because when it is squeezed, the water pours out. When something is saturated with water, it already holds as much water as possible. Compounds called hydrocarbons, which contain only carbon and hydrogen, can also be saturated, but not with water.
high_school_chemistry
chemistry
allenai/sciq_7844
allenai/sciq
John dalton thought that what unit, which means "indivisible", could not be divided into smaller, simpler particles? A. atom B. neutron C. electron D. nucleus
A. atom
Scientists have long wanted to find the most basic building blocks of the universe. They asked, “what are the fundamental particles of matter that cannot be subdivided into smaller, simpler particles,” and “what holds these particles together?” The quest for fundamental particles began thousands of years ago. Scientist...
college_chemistry
chemistry
allenai/sciq_5152
allenai/sciq
What kind of metals have perplexing patterns of electron distribution that don’t always follow the electron filling rules? A. transition B. transformation C. solution D. variating
A. transition
The transition metals are an interesting and challenging group of elements. They have perplexing patterns of electron distribution that don’t always follow the electron filling rules. Predicting how they will form ions is also not always obvious.
college_chemistry
chemistry
aquarat_5101
deepmind/aqua_rat
In the list 3, 3, 4, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
A. 2/9 B. 1/3 C. 4/11 D. 2/3 E. 7/9
C. 4/11
Mode: The mode of any set is the term which has the highest frequency (Occurrence) Highest frequent term in the set is 5 (with frequency 4) hence Mode = 5 two terms (3, 3, 4, 4) out of a total of 11 terms are less than mode of the set. Fraction of set that are less than Mode of set = 4/11 Answer: Option C
high_school_statistics
mathematics
mmlu_aux_train_42854
mmlu_aux_train
The National Geographic Channel has unearthed a time capsule buried by late Apple chairman and co-founder Steve Jobs thirty years ago. The time capsule was buried in Aspen .Colorado .in 1983, shortly after Jobs attended the International Design Conference being held in that city. Organizers called the device the Asp...
B. The mouse was created only for the Apple Lisa computer
college_computer_science
computer_science
mmlu_aux_train_55841
mmlu_aux_train
WASHINGTON--Considering the serious warnings lately about Internet viruses, users may be encouraged to unplug their machines just to keep them safe. In reality, common sense and a few basic tips can keep Internet surfers secure. Antivirus software is a must, and it should be updated at least once a week to recognize ne...
D. computer viruses are always developing
computer_security
computer_science
allenai/sciq_11450
allenai/sciq
What property does coulomb electric force depend upon? A. electric neutral B. electric half C. electric charge D. electric case
C. electric charge
Electromagnetism is associated with charge and is a fundamental force of nature, like gravity. If charges are static, the only manifestation of electromagnetism is the Coulomb electric force. In the same way that gravitational force depends on mass, the Coulomb electric force depends on the property known as electric c...
college_physics
physics
mmlu_aux_train_13301
mmlu_aux_train
Britons spend as much as nearly five hours a week keeping their homes clean, a survey found. Kitchens are cleaned most often, while doing the oven and windows are the least popular jobs. In total, they spend just over PS1 billion a year on products to keep the dirt at bay -- almost PS40 per household. Market analyst Mi...
A. Scotland.
high_school_statistics
mathematics
mmlu_aux_train_37896
mmlu_aux_train
DNA left at a crime scene could be used in the future to build up a picture of an offender's face, it was revealed tonight. A first step towards genetic _ has been taken by researchers in the US who link specific DNA markers with face shape. To identify the genes, they focused on known mutations that cause changes of ...
B. there is a possibility of going from DNA to a face
medical_genetics
biology
aquarat_62916
deepmind/aqua_rat
If Thursday was the day after the day before yesterday five days ago, What is the least number of days ago when Sunday was three days before the day after tomorrow?
A. Two B. Three C. Four D. Five E. Six
A. Two
Explanation : Day after the day before yesterday is yesterday. Now, five days ago, yesterday was Thursday. So, five days ago, it was Friday. Therefore today is Wednesday. Now, three days before the day after tomorrow is yesterday. Now, it is on Monday that we say Yesterday was Sunday. Answer : A
formal_logic
mathematics
math_1069
math_mc
In triangle $ABC$, the angle bisectors are $AD$, $BE$, and $CF$, which intersect at the incenter $I$. If $\angle ACB = 38^\circ$, then find the measure of $\angle AIE$, in degrees.
D
math_Geometry
mathematics
mmlu_aux_train_43913
mmlu_aux_train
America's greatest technological achievement, the Hoover Dam, now has a companion piece, a bridge held up by the longest arch in the Western Hemisphere . The Mike O'Callaghan-Pat Tillman Memorial Bridge, which opened this month and connects the U.S. states of Arizona and Nevada, crosses the vast chasm 890 feet above th...
B. It was built during the hard times.
electrical_engineering
engineering
mmlu_aux_train_97253
mmlu_aux_train
A creature that can move through liquid easily due to flippers is A. bluejays B. felines C. penguins D. cattle
C. penguins
high_school_biology
biology
allenai/sciq_5919
allenai/sciq
What type of protein speeds up chemical reactions in cells? A. collagen B. lipids C. enzyme D. hemoglobin
C. enzyme
Proteins are an essential part of all organisms. They play many roles in living things. Certain proteins provide a scaffolding that maintains the shape of cells (structural proteins). Proteins also make up the majority of muscle tissues. Many proteins are enzymes that speed up chemical reactions in cells. Enzymes inter...
college_biology
biology
mmlu_aux_train_97654
mmlu_aux_train
If a bird is pecking at a bush for food, the bush can also eat if A. munches on some berries B. it fulfills its role C. orders something it likes D. kills a small deer
B. it fulfills its role
high_school_biology
biology
mmlu_aux_train_43529
mmlu_aux_train
An earthquake happens when two plates rub together. The earth plates travel in different directions and at different speeds. If one plate is slowly forced underneath the other, pressure builds up until the plates break apart. This process causes the ground to move. It is an earthquake. In other words, earthquakes ar...
B. The 1976 Tangshan earthquake.
earth_science
earth_science
mmlu_aux_train_13098
mmlu_aux_train
You Are What You Eat Genetic engineering is the scientific change of the genetic material in a living organism. It allows scientists to identify specific genes, to remove them from an organism's chromosomes , improve them, analyze them, and possibly clone them, and to then reinsert the changed gene into the ori...
C. traditional breeding takes place within the same species
high_school_biology
biology
NLP4Education_535
NLP4Education
Tick the \textbf{false} statement. GSM anonymity is broken by ... A. replaying an A3 challenge. B. desynchronizing the mobile station and the network. C. using A5/1. D. sniffing the very first connection protocol.
C. using A5/1.
computer_security
computer_science
pythonio_835
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([1, 2, 3, 4, 5, 6, 7, 8],8) Output:
D
code
computer_science
allenai/sciq_10037
allenai/sciq
What is the name of the simplest carbon molecule? A. butane B. methane C. Buckminsterfullerine D. graphite
B. methane
Figure 2.13 Carbon can form four covalent bonds to create an organic molecule. The simplest carbon molecule is methane (CH4), depicted here.
high_school_chemistry
chemistry
pythonio_891
pythonio-mc
Program: from collections import Counter def max_char(str1): temp = Counter(str1) max_char = max(temp, key = temp.get) return max_char Input: max_char("python pr") Output:
D
code
computer_science
pythonio_612
pythonio-mc
Program: def Odd_Length_Sum(arr): Sum = 0 l = len(arr) for i in range(l): Sum += ((((i + 1) *(l - i) + 1) // 2) * arr[i]) return Sum Input: Odd_Length_Sum([1,2,4]) Output:
D
code
computer_science
mmlu_aux_train_59881
mmlu_aux_train
After a busy day of work and play, the body needs to rest. Sleep is necessary for good health. During this time, the body recovers from the activities of the previous day. The rest that you get while sleeping enables your body to prepare itself for the next day. There are four levels of sleep, each being a little deepe...
A. Sleep
high_school_biology
biology
allenai/sciq_3237
allenai/sciq
Soil erosion is a natural process, but what can increase it unnaturally? A. human preservation B. volcanic eruption C. animal activies D. human activities
D. human activities
Soil erosion is a natural process, but human activities can increase it.
high_school_biology
biology
allenai/sciq_3028
allenai/sciq
What produces sound waves that travel outward in all directions in water? A. echo sounders B. ultrasound machines C. amplifiers D. echo chamber
A. echo sounders
During World War II, battleships and submarines carried echo sounders. Their goal was to locate enemy submarines ( Figure below ). Echo sounders produce sound waves that travel outward in all directions. The sound waves bounce off the nearest object and then return to the ship. Scientists know the speed of sound in sea...
high_school_physics
physics
allenai/sciq_3807
allenai/sciq
What is known as the universal solvent? A. vinegar B. oil C. air D. water
D. water
The ability of a solute to dissolve in a particular solvent is called solubility . Many chemical substances are soluble in water. In fact, so many substances are soluble in water that water is called the universal solvent. Water is a strongly polar solvent, and polar solvents are better at dissolving polar solutes. Man...
high_school_chemistry
chemistry
allenai/sciq_4859
allenai/sciq
What group of elements cannot conduct electricity? A. phosphates B. carbonates C. metals D. nonmetals
D. nonmetals
Nonmetals are elements that generally cannot conduct electricity. They are the second largest class of elements after metals. Examples of nonmetals include hydrogen, carbon, chlorine, and helium.
high_school_chemistry
chemistry
mmlu_aux_train_26071
mmlu_aux_train
Three astronauts returned to Earth safely on Wednesday after a successful 15-day mission , marking another step forward towards the country's goal of building a manned space station by 2020. Zhang Youxia, commander-in-chief of China's manned space program, said the Shenzhou X mission was a "complete success". The Shen...
A. was sent into space on June 11, 2013
astronomy
physics
math_636
math_mc
Sue owns 11 pairs of shoes: six identical black pairs, three identical brown pairs and two identical gray pairs. If she picks two shoes at random, what is the probability that they are the same color and that one is a left shoe and the other is a right shoe? Express your answer as a common fraction.
C
math_Counting & Probability
mathematics
math_404
math_mc
Suppose the point $(1,2)$ is on the graph of $y=\frac{f(x)}2$. Then there is one point which must be on the graph of $y=\frac{f^{-1}(x)}{2}$. What is the sum of that point's coordinates?
D
math_Algebra
mathematics
math_488
math_mc
The integers $r$ and $k$ are randomly selected, where $-3 < r < 6$ and $1 < k < 8$. What is the probability that the division $r \div k$ is an integer value? Express your answer as a common fraction.
B
math_Counting & Probability
mathematics
allenai/sciq_1971
allenai/sciq
Organism's changing over time is called? A. heterogenicity B. variation C. generation D. evolution
D. evolution
Evolution means change over time. Darwin’s theory of evolution says that organisms change over time ( Figure below ). Evolution is seen in the fossil record. It is seen in the way organisms develop. Evolution is evident in the geographic locations where organism are found. It is evident in the genes of living organisms...
high_school_biology
biology
pythonio_755
pythonio-mc
Program: from collections import Counter def anagram_lambda(texts,str): result = list(filter(lambda x: (Counter(str) == Counter(x)), texts)) return result Input: anagram_lambda(["bcda", "abce", "cbda", "cbea", "adcb"],"abcd") Output:
C
code
computer_science
pythonio_396
pythonio-mc
Program: def sum_nums(x, y,m,n): sum_nums= x + y if sum_nums in range(m, n): return 20 else: return sum_nums Input: sum_nums(2,10,11,20) Output:
A
code
computer_science
aquarat_41009
deepmind/aqua_rat
In a certain code VOLITION is written as UMIEUKRR, MARTINET is written as LYOPJPMX. How is DESTROYS written in this code?
A. CCPPSQBW B. CCPPSQBU C. CCPPSQBV D. CCPPSQBX E. CCPPSQBZ
A. CCPPSQBW
as per the sequence the ans is D-1 = C E-2 = C S-3=P T-4=P R+1=S O+2=Q Y+3=B S+4=W ans is CCPPSQBW ANSWER:A
formal_logic
mathematics
mmlu_aux_train_52673
mmlu_aux_train
It is now February 7, 2035. The search engine TalkTalk will be open to the public next week and this service will soon be something beyond your imagination. For the first time you can not only talk to the search engine, but you can discuss with it what you are looking for. For example, if you want to know more about th...
B. tell if a certain source is reliable
computer_security
computer_science
math_376
math_mc
Anton has two species of ants, Species A and Species B, in his ant farm. The two species are identical in appearance, but Anton knows that every day, there are twice as many ants of Species A than before, while there are three times as many ants of Species B. On Day 0, Anton counts that there are 30 ants in his ant far...
C
math_Algebra
mathematics
math_68
math_mc
An engineer invested $\$10,\!000$ in a six-month savings certificate that paid a simple annual interest rate of $12\%$. After six months, she invested the total value of her investment in another six-month certificate. After six more months, the investment was worth $\$11,\!130$. If the annual interest rate of the seco...
D
math_Algebra
mathematics
mmlu_aux_train_86548
mmlu_aux_train
Different people have different skin colours. Some have black skin, some have yellow skin, and some have white skin. There was a woman in Alaska. Her skin was orange in colour. It was almost the colour of orange juice. How did this woman become orange? She ate lots of tomatoes, carrots and pumpkins. She ate too many o...
B. orange skin
clinical_knowledge
biology
allenai/sciq_2732
allenai/sciq
What is the main difference between eukaryotic and prokaryotic cells? A. eukaryotic cells have a flagella B. prokaryotic cells have a nucleus C. eukaryotic cells have a nucleus D. eukaryotic cells have a cell wall
C. eukaryotic cells have a nucleus
There are two basic types of cells, prokaryotic cells and eukaryotic cells . The main difference between eukaryotic and prokaryotic cells is that eukaryotic cells have a nucleus . The nucleus is where cells store their DNA , which is the genetic material. The nucleus is surrounded by a membrane. Prokaryotic cells do no...
high_school_biology
biology
pythonio_738
pythonio-mc
Program: def remove_negs(num_list): for item in num_list: if item < 0: num_list.remove(item) return num_list Input: remove_negs([1,-2,3,-4]) Output:
B
code
computer_science
math_512
math_mc
The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divisible by 19 or 31. What is the largest possible last digit in this string?
C
math_Counting & Probability
mathematics
allenai/sciq_4170
allenai/sciq
Two or more what may bond with each other to form a molecule? A. quarks B. clouds C. particles D. atoms
D. atoms
Figure 2.9 Two or more atoms may bond with each other to form a molecule. When two hydrogens and an oxygen share electrons via covalent bonds, a water molecule is formed.
high_school_chemistry
chemistry
pythonio_523
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(4) Output:
C
code
computer_science
aquarat_38983
deepmind/aqua_rat
If ‘MADURAI’ is coded as ‘DADCIAI’, then ‘DELHI’ is coded as
A. DEHIE B. DDEHI C. EDDIH D. DECHI E. CHIDE
D. DECHI
M=13,1+3=4=D A=1=A SIMILARLY, M=13=1+3=4=D D=4=D E=5=E L=12=1+2=C H=8=H I=9=I SO ANS IS DECHI ANSWER:D
formal_logic
mathematics
aquarat_67278
deepmind/aqua_rat
Given that A and B are events such that H(A)= 0.03 H(B)=0.18 H(AnB)=0.18 find H (A|B) and H(A|B)
A. 1/7 B. 1/5 C. 1/3 D. 1/2 E. 1/6
E. 1/6
Here, A and B are events H(A|B) = H(AnB)/H(B) = 0.18/0.18 = 1 H(A|B) = H(AnB)/H(A) = 0.18/0.03 = 1/6. Answer is E
high_school_statistics
mathematics
math_530
math_mc
The probability of getting rain on any given day in June in Capital City is $\frac{1}{10}$. What is the probability that it rains on at most 2 days in June? Express your answer as a decimal to the nearest thousandth.
A
math_Counting & Probability
mathematics
mmlu_aux_train_93208
mmlu_aux_train
Nonrenewable sources of energy have limited supplies. Researchers are developing devices that will make renewable energy more available. Which is a source of renewable energy? A. coal B. gasoline C. oil D. wind
D. wind
high_school_physics
physics
allenai/sciq_5226
allenai/sciq
Radon is inert and generally unreactive because it is which kind of gas? A. noble gas B. ignoble gas C. ideal gas D. transitive gas
A. noble gas
Because radon is a noble gas, it is inert and generally unreactive. Despite this, exposure to even low concentrations of radon in air is quite dangerous. Describe the physical consequences of exposure to radon gas. Why are people who smoke more susceptible to these effects?.
high_school_chemistry
chemistry
aquarat_45285
deepmind/aqua_rat
The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum ...
A. 8 B. 16 C. 17 D. 18 E. 34
C. 17
Minimum age = Average - 1 Standard deviation = 20 - 8 = 12 Maximum age = average + 1 Standard deviation = 20+ 8 = 28 Maximum number of different ages of the applicants = 28 - 12 + 1 = 17 Answer C
high_school_statistics
mathematics
pythonio_310
pythonio-mc
Program: def even_Power_Sum(n): sum = 0; for i in range(1,n + 1): j = 2*i; sum = sum + (j*j*j*j); return sum; Input: even_Power_Sum(3) Output:
D
code
computer_science
pythonio_36
pythonio-mc
Program: import math def volume_tetrahedron(num): volume = (num ** 3 / (6 * math.sqrt(2))) return round(volume, 2) Input: volume_tetrahedron(15) Output:
D
code
computer_science
aquarat_11743
deepmind/aqua_rat
If the day after tomorrow is three days before tuesday, do you know which day is today?
A. sunday B. monday C. saturday D. thursday E. wednesday
D. thursday
Correct Answer : D three days before tuesday is saturday, now saturday is day after tomorrow, so today is thursday
formal_logic
mathematics
mmlu_aux_train_2242
mmlu_aux_train
Many fertilizers contain organic materials that are helpful to an orchard but have a different effect when rain causes them to run off into a freshwater ecosystem. How does the addition of organic waste from fertilizers most commonly affect freshwater ecosystems? A. increasing biodiversity B. increasing water clarity ...
D. decreasing oxygen levels
high_school_biology
biology
allenai/sciq_1023
allenai/sciq
Hydrogen peroxide will decompose over time to produce _______ gas. A. water and carbon dioxide B. methane C. hydrogen and helium D. water and oxygen
D. water and oxygen
Again, substances in all states of matter commonly participate in decomposition reactions. For example, hydrogen peroxide will decompose over time to produce water and oxygen gas according to the following equation:.
high_school_chemistry
chemistry
aquarat_4779
deepmind/aqua_rat
A certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 of 5 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates ...
A. 42 B. 70 C. 150 D. 165 E. 315
C. 150
6C2*5C3 = 15*10 = 150 the answer is (C)
college_mathematics
mathematics
mmlu_aux_train_99656
mmlu_aux_train
A creature that is lacking domestication, and is also lacking a wild space, perhaps occupies A. a wild time B. a distant planet C. a small crater D. a displayed habitat
D. a displayed habitat
high_school_biology
biology
pythonio_400
pythonio-mc
Program: import re def remove_extra_char(text1): pattern = re.compile('[\W_]+') return (pattern.sub('', text1)) Input: remove_extra_char('**//Google Firebase// - 478. ') Output:
C
code
computer_science
pythonio_949
pythonio-mc
Program: def remove_empty(tuple1): #L = [(), (), ('',), ('a', 'b'), ('a', 'b', 'c'), ('d')] tuple1 = [t for t in tuple1 if t] return tuple1 Input: remove_empty([(), (), ('',), ("java")]) Output:
C
code
computer_science
math_743
math_mc
What is the area of the portion of the circle defined by $x^2-12x+y^2=28$ that lies above the $x$-axis and to the right of the line $y=6-x$?
A
math_Geometry
mathematics
mmlu_aux_train_48008
mmlu_aux_train
After a fortnight of extraordinary type, the much-feared computer virus that was supposed to strike the globe's hard drives last Friday simply fizzled. So many warnings were sounded that most computer owners either fed anti-virus programs into their systems or refused to turn the power on during the dreaded M-day. They...
C. the previous Friday when Michelangelo virus was due to strike
computer_security
computer_science
math_945
math_mc
In triangle $ABC$, $\angle ABC = 90^\circ$ and $AD$ is an angle bisector. If $AB = 90,$ $BC = x$, and $AC = 2x - 6,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.
A
math_Geometry
mathematics
mmlu_aux_train_20892
mmlu_aux_train
Mark Zukerberg is the founder and CEO of Facebook, an extremely popular social working website that started in the United States. Now, millions of student users visit Facebook daily and the website is one of the top ten widely visited sites on the Internet worldwide. College and high school students use Facebook to com...
B. advertisements
high_school_computer_science
computer_science
pythonio_101
pythonio-mc
Program: def last_occurence_char(string,char): flag = -1 for i in range(len(string)): if(string[i] == char): flag = i if(flag == -1): return None else: return flag + 1 Input: last_occurence_char("little",'y') Output:
D
code
computer_science
mmlu_aux_train_28768
mmlu_aux_train
Every year,there have been the Christmas specials for almost every sitcom and cartoon,which nod in sincerity towards the holiday season.Since Charles Schultz,the American cartoonist who created Charlie Brown and Snoopy,first got his hit on the holiday with A Charlie Brown Christmas in 1965.characters from television an...
A. He made the first Christmas special.
high_school_computer_science
computer_science
aquarat_14577
deepmind/aqua_rat
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word RADAR could be arranged to create a five-letter code?
A. 5!/(2! x 2!) B. 6! − (3! + 2!) C. 6! − (3! × 2!) D. 6!/(3! + 2!) E. 6!/(3! × 2!)
A. 5!/(2! x 2!)
Number of letters in word 'RADAR' = 5. The letters 'A' and 'R' appear 2 times and 2 times respectively in the word 'RADAR'. Therefore the mathematical solution for number of ways that the letters of the word RADAR can be arranged to create five-letter code = 5!/(2!*2!) Answer:A
college_mathematics
mathematics
aquarat_18072
deepmind/aqua_rat
Set A of 8 positive integers may have the same element and have 37. And set B of 8 positive integers must have different elements and have 37. When m and n are the greatest possible differences between 37 and other elements’ sums in set A and set B, respectively, m-n=?
A. 21 B. 22 C. 23 D. 25 E. 26
B. 22
This is maximum-minimum. Hence, 37-(1+1+1+1+1+1+1)=30 and 37-(1+2+3+4+5+6+7)=9. So, 30-9=21. The correct answer is B.
college_mathematics
mathematics
NLP4Education_148
NLP4Education
Which of the following is true in the context of inverted files? A. Index merging is primarily used to compress inverted file indexes and reduce their storage requirements. B. The trie structure used for index construction is also used as a data access structure to terms in the vocabulary. C. Finer addressing granulari...
B. The trie structure used for index construction is also used as a data access structure to terms in the vocabulary.
computer_security
computer_science
mmlu_aux_train_53673
mmlu_aux_train
China news, Beijing, June 5 -- The Horizon Research Group conducted a survey about Chinese parents and their children in May last year and this year. Based on a random sampling method, the survey, done in May last year, investigated about 1,095 people living in cities such as Beijing, Shanghai, Guangzhou, Xinjiang, Jin...
A. parents at present spend less time playing with their children than with the older generation.
high_school_statistics
mathematics
pythonio_499
pythonio-mc
Program: def sum_list(lst1,lst2): res_list = [lst1[i] + lst2[i] for i in range(len(lst1))] return res_list Input: sum_list([10,20,30],[15,25,35]) Output:
B
code
computer_science
mmlu_aux_train_97432
mmlu_aux_train
Teak can be found in A. glacier sheets B. blue songs C. groves D. underwater trenches
C. groves
high_school_biology
biology
math_814
math_mc
In tetrahedron $ABCD$, edge $AB$ has length 3 cm. The area of face $ABC$ is $15\mbox{cm}^2$ and the area of face $ABD$ is $12 \mbox { cm}^2$. These two faces meet each other at a $30^\circ$ angle. Find the volume of the tetrahedron in $\mbox{cm}^3$.
B
math_Geometry
mathematics
NLP4Education_450
NLP4Education
In which attack scenario does the adversary ask for the decryption of selected messages? A. Known plaintext attack B. Chosen plaintext attack C. Ciphertext only attack D. Chosen ciphertext attack
D. Chosen ciphertext attack
computer_security
computer_science
mmlu_aux_train_94626
mmlu_aux_train
Radio signal interruption sometimes causes a humming or buzzing sound. These sounds are most likely caused by A. balanced forces. B. longitudinal waves. C. gravitational forces. D. electromagnetic waves.
D. electromagnetic waves.
conceptual_physics
physics
pythonio_450
pythonio-mc
Program: def equilibrium_index(arr): total_sum = sum(arr) left_sum=0 for i, num in enumerate(arr): total_sum -= num if left_sum == total_sum: return i left_sum += num return -1 Input: equilibrium_index([-7, 1, 5, 2, -4, 3, 0]) Output:
A
code
computer_science
math_1832
math_mc
In square $ABCD$, point $M$ is the midpoint of side $AB$ and point $N$ is the midpoint of side $BC$. What is the ratio of the area of triangle $AMN$ to the area of square $ABCD$? Express your answer as a common fraction.
A
math_Prealgebra
mathematics
mmlu_aux_train_95595
mmlu_aux_train
A car is stuck in a ditch, and requires the passengers of the vehicle to get out and push it back onto the road. Two of the three passengers push the car, and they struggle to gain any ground, but when the third passenger helps them A. the car struggles to move B. the car gains ground rapidly C. the car is stuck D. th...
B. the car gains ground rapidly
conceptual_physics
physics