question stringlengths 13 1.06k | choices listlengths 4 4 | subject stringclasses 19
values | answer int64 0 3 | source_config stringclasses 1
value |
|---|---|---|---|---|
If $a=7$ and $b=13$, what is the number of even positive integers less than $ab$? | [
"45",
"46",
"90",
"180"
] | high_school_mathematics | 0 | default |
A big fish swims upon and swallows a small fish that is at rest. Right after lunch, the fattened big fish has a change in | [
"speed",
"momentum",
"Both",
"Neither"
] | conceptual_physics | 0 | default |
Determine whether the polynomial in Z[x] satisfies an Eisenstein criterion for irreducibility over Q. 8x^3 + 6x^2 - 9x + 24 | [
"Yes, with p=2.",
"Yes, with p=3.",
"Yes, with p=5.",
"No."
] | abstract_algebra | 1 | default |
Find the number that makes the statement true: 26.1 mm = _ dm. | [
"0.261",
"261",
"2.61",
"2,610"
] | elementary_mathematics | 0 | default |
The solid-state structures of the principal allotropes of elemental boron are made up of which of the following structural units? | [
"B12 icosahedra",
"B8 cubes",
"B6 octahedra",
"B4 tetrahedra"
] | college_chemistry | 0 | default |
Spectral lines of the elements are | [
"chaotic",
"ordered",
"positioned by amplitude",
"in phase"
] | conceptual_physics | 1 | default |
The domain of the function $h(x) = \sqrt{25-x^2}+\sqrt{-(x-2)}$ is an interval of what width? | [
"7",
"5",
"2",
"25"
] | high_school_mathematics | 0 | default |
What number makes the equation 35 / ? = 7 true? | [
"5",
"6",
"7",
"8"
] | elementary_mathematics | 0 | default |
Let $p$, $q$, and $r$ be constants. One solution to the equation $(x-p)(x-q) = (r-p)(r-q)$ is $x=r$. Find the other solution in terms of $p$, $q$, and $r$. | [
"pqr",
"pq-r",
"p-q-r",
"p+q-r"
] | high_school_mathematics | 3 | default |
In multiprogrammed systems it is advantageous if some programs such as editors and compilers can be shared by several users. Which of the following must be true of multiprogrammed systems in order that a single copy of a program can be shared by several users?
I. The program is a macro.
II. The program is recursive.
II... | [
"I only",
"II only",
"III only",
"II and III only"
] | college_computer_science | 2 | default |
Cleavage symmetry arising from early cell divisions that occur at an oblique angle to the polar axis is known as | [
"meroblastic cleavage",
"radial cleavage",
"spiral cleavage",
"superficial cleavage"
] | college_biology | 2 | default |
Except for identical twins, no two people are genetically identical. Which of the following statements most accurately describes the main source of variation in humans? | [
"The main source of variation in humans is genetic drift.",
"Changes in the environment cause rapid changes in different human populations.",
"Shuffling of alleles is responsible for the greatest variation in humans.",
"Mutations are responsible for the greatest changes in different human populations."
] | high_school_biology | 2 | default |
Which of the following is located beneath the diaphragm in the left upper quadrant of the abdominal cavity? | [
"Appendix",
"Duodenum",
"Spleen",
"Pancreas"
] | anatomy | 2 | default |
Which of the following is an accessory organ of the gastrointestinal system that is responsible for secreting insulin? | [
"Adrenal gland",
"Gallbladder",
"Liver",
"Pancreas"
] | anatomy | 3 | default |
What is the value of the expression 2,816 x 7? | [
"14,572",
"14,672",
"19,612",
"19,712"
] | elementary_mathematics | 3 | default |
What are the sets of commands in a program which are not translated into machine instructions during assembly process, called? | [
"Mnemonics",
"Directives",
"Identifiers",
"Operands"
] | electrical_engineering | 1 | default |
Statement 1 | Every field is also a ring. Statement 2 | Every ring has a multiplicative identity. | [
"True, True",
"False, False",
"True, False",
"False, True"
] | abstract_algebra | 2 | default |
If a total of 762 students at a citywide competition are divided into 6 equal-sized teams, how many students are on each team? | [
"110",
"120",
"127",
"137"
] | elementary_mathematics | 2 | default |
Suppose we have the following objective function: $\argmin_{w} \frac{1}{2} \norm{Xw-y}^2_2 + \frac{1}{2}\gamma \norm{w}^2_2$ What is the gradient of $\frac{1}{2} \norm{Xw-y}^2_2 + \frac{1}{2}\lambda \norm{w}^2_2$ with respect to $w$? | [
"$\\nabla_w f(w) = (X^\\top X + \\lambda I)w - X^\\top y + \\lambda w$",
"$\\nabla_w f(w) = X^\\top X w - X^\\top y + \\lambda$",
"$\\nabla_w f(w) = X^\\top X w - X^\\top y + \\lambda w$",
"$\\nabla_w f(w) = X^\\top X w - X^\\top y + (\\lambda+1) w$"
] | machine_learning | 2 | default |
Which of the following is not always true for x, y, z ∈ R^k? | [
"|x| ≥ 0",
"|x · y| ≤ |x||y|",
"|x| = 0 if and only if x = 0",
"|x + y| = |x| + |y|"
] | college_mathematics | 3 | default |
Primary motor cortex activity results in | [
"bilateral contraction of antigravity limb muscles.",
"bilateral contraction of limb musculature.",
"contraction of ipsilateral limb musculature.",
"contraction of contralateral limb musculature."
] | anatomy | 3 | default |
A Lissajous pattern on an oscilloscope has 5 horinzontal tangencies and 2 vertical tangencies. The frequency of horizontal input is 100 Hz. The frequency of the vertical will be | [
"500 Hz.",
"250 Hz.",
"400 Hz.",
"625 Hz."
] | electrical_engineering | 1 | default |
Find the difference of 142.76 – 16.5. | [
"159.26",
"2.224",
"14,111",
"126.26"
] | elementary_mathematics | 3 | default |
Energy is harvested during cellular respiration in stages. Which of the following correctly states which phase of cellular respiration harvests the most energy and the correct explanation why? | [
"The most energy is released during the Krebs cycle because it is here that pyruvate is completely broken down into CO2.",
"The most energy is released during the Krebs cycle because in addition to the production of ATP, both FADH2 and NADH are produced. Each of those molecules will release 2 ATPs and 3 ATPs, res... | high_school_biology | 2 | default |
In the formation of the earliest cells, which of the following components most likely arose first? | [
"Nucleus",
"Plasma membrane",
"Mitochondrion",
"Flagellum"
] | college_biology | 1 | default |
The equation E = mc^2 indicates that energy | [
"equals mass moving at the speed of light squared.",
"equals moving mass.",
"is fundamentally different than mass.",
"and mass are closely related."
] | conceptual_physics | 3 | default |
The weight of an object on the moon, m, is about q of the object’s weight on Earth, e. Which equation represents the approximate weight of an object on the moon in terms of the object's weight on Earth? | [
"m = 1/6 + e",
"m = e/6",
"m = 6+e",
"m = 6e"
] | elementary_mathematics | 1 | default |
A female fruit fly bearing linked genes that produce the phenotype gray body and normal wings mates with a male fruit fly of phenotype black body and vestigial wings. The presence of gray-bodied, vestigialwinged flies among the progeny is best explained by | [
"crossing over",
"independent assortment",
"segregation of alleles",
"penetrance"
] | college_biology | 0 | default |
What is the shortest distance from the origin to the circle defined by $x^2-24x +y^2+10y +160=0$? | [
"10",
"16",
"24",
"12"
] | high_school_mathematics | 0 | default |
Which of the following is expected to have the largest bond polarity? | [
"S–O",
"P–F",
"C–B",
"C–N"
] | high_school_chemistry | 1 | default |
The coronal suture joins the | [
"frontal and parietal bones.",
"left and right parietal bones.",
"parietal and occipital bones.",
"parietal, squamous temporal and greater wing of the sphenoid."
] | anatomy | 0 | default |
The average number of calories in Yum-Yum Good candy bars is 210, with a standard deviation of 10. If the number of calories per candy bar is normally distributed, what percent of candy bars contain more than 225 calories? | [
"66.80%",
"47.70%",
"43.30%",
"6.68%"
] | high_school_statistics | 3 | default |
In men, specimens for gonococcal cultures are most commonly obtained from which of the following structures? | [
"Anus",
"Bladder",
"Urethra",
"Testicle"
] | anatomy | 2 | default |
Find the value of the expression −25 − (−11). | [
"−36",
"−14",
"14",
"36"
] | elementary_mathematics | 2 | default |
A satellite in Earth orbit is above Earth’s | [
"atmosphere",
"gravitational field",
"Both",
"Neither"
] | conceptual_physics | 0 | default |
What is a sampling distribution? | [
"A distribution of all the statistics that can be found in a given sample",
"A histogram, or other such visual representation, showing the distribution of a sample",
"A normal distribution of some statistic",
"A distribution of all the values taken by a statistic from all possible samples of a given size"
] | high_school_statistics | 3 | default |
African lungfish often live in small, stagnant, freshwater pools. With reduced gills, they differ from other fish in that they breathe air. They also differ in that they release the nitrogen waste urea instead of ammonia. Which of the following statements correctly explains how this is an advantage for lungfish? | [
"Urea is insoluble in water and sinks to the bottom of the small pools. Thus the poisonous substance is isolated from the fish.",
"Ammonia, which is highly toxic, would endanger lungfish that inhabit the small pools.",
"Other fish in the small pools can use urea as an energy source.",
"The highly toxic urea m... | high_school_biology | 1 | default |
Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distances between the points are less than the radius of the circle? | [
"\\frac{1}{20}",
"\\frac{1}{32}",
"\\frac{1}{12}",
"\\frac{1}{16}"
] | high_school_mathematics | 2 | default |
Which is the largest asymptotically? | [
"O(1)",
"O(n)",
"O(n^2)",
"O(log n)"
] | high_school_computer_science | 2 | default |
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages? | [
"add 18 and 3",
"divide 18 by 3",
"multiply 3 by 18",
"subtract 3 from 18"
] | elementary_mathematics | 2 | default |
The rainfall for the last three months of school was 8.1 inches, 4.2 inches, and 0.33 inch. Estimate the total rainfall for the three months by rounding to the nearest whole number. | [
"11.9 in.",
"11 in.",
"45.0 in.",
"12 in."
] | elementary_mathematics | 3 | default |
Light from a laser falls on a pair of very narrow slits separated by 0.5 micrometer, and bright fringes separated by 1.0 millimeter are observed on a distant screen. If the frequency of the laser light is doubled, what will be the separation of the bright fringes? | [
"0.25 mm",
"0.5 mm",
"1.0 mm",
"2.0 mm"
] | college_physics | 1 | default |
How do scientists know that the majority of meteorites come from the asteroid belt? | [
"The spectra of some meteorites are similar to the spectra of asteroids in the asteroid belt.",
"The asteroid belt is the only possible source of meteorites therefore they must originate there.",
"Collisions are common in the asteroid belt and we can track the fragments from their source asteroid to the Earth w... | astronomy | 0 | default |
A person walked 3 miles to the east, then turned north and walked 10 miles, then turned west and walked 6 miles, and finally turned south and walked 16 miles. Approximately how far is the person from his starting point in miles? | [
"3.4",
"6.7",
"9.2",
"12.8"
] | high_school_mathematics | 1 | default |
Substances whose Lewis structures must be drawn with an unpaired electron are called | [
"ionic compounds",
"free radicals",
"resonance structures",
"polar molecules"
] | high_school_chemistry | 1 | default |
Which of the following statements is NOT correct about apoptosis? | [
"Apoptosis, a special type of cell division, requires multiple cell signaling.",
"The fact that apoptosis is widespread across several kingdoms is evidence that it evolved early in the evolution of eukaryotes.",
"Apoptosis plays a crucial role in the development of fingers in embryonic development.",
"Apoptos... | high_school_biology | 0 | default |
The openSSL implementation described in “Remote Timing Attacks are Practical” (by Brumley and Boneh) uses the following performance optimizations: Chinese Remainder (CR), Montgomery Representation (MR), Karatsuba Multiplication (KM), and Repeated squaring and Sliding windows (RS). Which of the following options would c... | [
"True, True",
"False, False",
"True, False",
"False, True"
] | computer_security | 0 | default |
Which of the following sources makes the greatest contribution to the dry mass of organic matter that comprises an oak tree? | [
"Organic molecules from decaying matter in the soil that are taken up by the roots",
"Mineral nutrients dissolved in groundwater that are taken up by the roots",
"Water that is taken up by the roots and carbon dioxide from the air",
"Endosperm located in the cotyledons of the acorn"
] | college_biology | 2 | default |
Statement 1 | A homomorphism is one to one if and only if the kernel consists of the identity element alone. Statement 2 | The image of a group of 6 elements under some homomorphism may have 4 elements. | [
"True, True",
"False, False",
"True, False",
"False, True"
] | abstract_algebra | 2 | default |
Compute the product in the given ring. (12)(16) in Z_24 | [
"0",
"1",
"4",
"6"
] | abstract_algebra | 0 | default |
A researcher is experimenting with nerve transmission using neurons from a giant squid. At the beginning of the experiment, the axon is at rest and has a threshold measured at –70 mV at 37oC. The axon receives one stimulus that triggers one action potential in the axon. Subsequent stimuli are much stronger. Which of th... | [
"The axon becomes hyperpolarized to –90 mV.",
"The axon becomes hyperpolarized to –50 mV.",
"The strength of the action potential becomes greater.",
"The frequency of the action potential increases."
] | high_school_biology | 3 | default |
Sheila has been given 5 minutes to solve 20 arithmetic problems. What is the minimum rate Sheila can work in order to finish in time? | [
"1 problem per minute",
"2 problems per minute",
"4 problems per minute",
"5 problems per minute"
] | elementary_mathematics | 2 | default |
The rotational correlation time of a spherical object of radius r immersed in a liquid with viscosity η is given by the Stokes equation: τc = 4πηr3/3kBT. A small molecule with relative molecular mass Mr = 100 in water at 298 K has τc = 50 ps. Assuming that Mr is proportional to the molecular volume, estimate τc for a s... | [
"420 ns",
"42 ns",
"4.2 ns",
"420 ps"
] | college_chemistry | 2 | default |
A bag has 4 red and 6 blue marbles. A marble is selected and not replaced, then a second is selected. What is the probability that both are the same color? | [
"\\frac{1}{8}",
"\\frac{8}{15}",
"\\frac{1}{15}",
"\\frac{7}{15}"
] | high_school_mathematics | 3 | default |
A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax? | [
"$99.89 ",
"$99.99 ",
"$100.99 ",
"$109.88 "
] | elementary_mathematics | 0 | default |
John’s friend told him that he could earn $49 for handing out flyers at a local concert. John wants to calculate the hourly rate, If he works a total of 3.5 hours, the equation 3.5x = 49 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars? | [
"$1.40 ",
"$14.00 ",
"$45.50 ",
"$171.50 "
] | elementary_mathematics | 1 | default |
You want to cluster 7 points into 3 clusters using the k-Means Clustering algorithm. Suppose after the first iteration, clusters C1, C2 and C3 contain the following two-dimensional points: C1 contains the 2 points: {(0,6), (6,0)} C2 contains the 3 points: {(2,2), (4,4), (6,6)} C3 contains the 2 points: {(5,5), (7,7)} W... | [
"C1: (3,3), C2: (4,4), C3: (6,6)",
"C1: (3,3), C2: (6,6), C3: (12,12)",
"C1: (6,6), C2: (12,12), C3: (12,12)",
"C1: (0,0), C2: (48,48), C3: (35,35)"
] | college_computer_science | 0 | default |
Let x = 1. What is x << 3 in Python 3? | [
"1",
"3",
"8",
"16"
] | high_school_computer_science | 2 | default |
If neutral variation is truly "neutral," then it should have no effect on | [
"nucleotide diversity.",
"average heterozygosity.",
"our ability to measure the rate of evolution.",
"relative fitness."
] | high_school_biology | 3 | default |
A right triangle has legs of length $6$ and $b$, and a hypotenuse of length $c$. The perimeter of the triangle is $18$. Compute $c$. | [
"18",
"\\frac{15}{2}",
"8",
"6"
] | high_school_mathematics | 1 | default |
A programmer wrote the program below. The program uses a list of numbers called numList. The program is intended to display the sum of the numbers in the list.
sum ← numList [1]
FOR EACH value IN numList
sum ← sum + value
DISPLAY sum
In order to test the program, the programmer initializes numList to [0 , 1 , 4 , ... | [
"The conclusion is correct; the program works as intended.",
"The conclusion is incorrect; the program does not display the correct value for the test case [0, 1, 4, 5].",
"The conclusion is incorrect; using the test case [0, 1, 4, 5] is not sufficient to conclude the program is correct.",
"The conclusion is ... | high_school_computer_science | 2 | default |
A teacher believes that giving her students a practice quiz every week will motivate them to study harder, leading to a greater overall understanding of the course material. She tries this technique for a year, and everyone in the class achieves a grade of at least C. Is this an experiment or an observational study? | [
"An experiment, but with no reasonable conclusion possible about cause and effect",
"An experiment, thus making cause and effect a reasonable conclusion",
"An observational study, because there was no use of a control group",
"An observational study, but a poorly designed one because randomization was not use... | high_school_statistics | 0 | default |
A researcher planning a survey of school principals in a particular state has lists of the school principals employed in each of the 125 school districts. The procedure is to obtain a random sample of principals from each of the districts rather than grouping all the lists together and obtaining a sample from the entir... | [
"This is a simple random sample obtained in an easier and less costly manner than procedures involving sampling from the entire population of principals.",
"This is a cluster sample in which the population was divided into heterogeneous groups called clusters.",
"This is an example of systematic sampling, which... | high_school_statistics | 3 | default |
What is 7% equal to? | [
"0.007",
"0.07",
"0.7",
"7"
] | elementary_mathematics | 1 | default |
What are the port states determined by Nmap? | [
"Active, inactive, standby",
"Open, half-open, closed ",
"Open, filtered, unfiltered",
"Active, closed, unused"
] | computer_security | 2 | default |
Five capacitors each of 5 µF are connected in series, the equivalent capacitance of the system will be | [
"5 µF",
"25 µF",
"10 µF",
"1 µF"
] | electrical_engineering | 3 | default |
The simplest alkene has | [
"at least two pi bonds",
"at least four sigma bonds",
"a tetrahedral configuration",
"cis-trans isomers"
] | high_school_chemistry | 1 | default |
The rate of a chemical reaction is determined by | [
"the equilibrium constant",
"the rate-determining or slow step of the mechanism",
"the reaction vessel pressure",
"the intermediates formed in the first step"
] | high_school_chemistry | 1 | default |
Array A contains 256 elements of 4 bytes each. Its first element is stored at physical address 4,096.
Array B contains 512 elements of 4 bytes each. Its first element is stored at physical address 8,192.
Assume that only arrays A and B can be cached in an initially empty, physically addressed, physically tagged, direct... | [
"0",
"256",
"1024",
"2000"
] | college_computer_science | 0 | default |
Let $a\star b = a^b-ab$. If $2\star x = 22$, find $x$. | [
"5",
"22",
"11",
"6"
] | high_school_mathematics | 0 | default |
Refraction occurs when a wave crosses a boundary and changes | [
"speed and direction",
"intensity",
"frequency",
"amplitude"
] | conceptual_physics | 0 | default |
A researcher is hoping to find a predictive linear relationship between the explanatory and response variables in her study. Accordingly, as part of her analysis she plans to generate a 95% confidence interval for the slope of the regression line for the two variables. The interval is determined to be (0.45, 0.80). Whi... | [
"I and II only",
"I and III only",
"II and III only",
"I only"
] | high_school_statistics | 0 | default |
Statement 1| Overfitting is more likely when the set of training data is small. Statement 2| Overfitting is more likely when the hypothesis space is small. | [
"True, True",
"False, False",
"True, False",
"False, True"
] | machine_learning | 3 | default |
How many positive and negative integers is $12$ a multiple of? | [
"3",
"12",
"4",
"6"
] | high_school_mathematics | 1 | default |
In the spinal cord, motor neuron cell bodies are located in | [
"Lamina I.",
"Lamina II.",
"Lamina V.",
"Lamina IX"
] | anatomy | 3 | default |
What is the greatest possible quotient of any two distinct members of the set $\{\frac{2}{5}, \frac{1}{2},5,10\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set. | [
"5",
"10",
"20",
"25"
] | high_school_mathematics | 3 | default |
Proteins were shown to move about in a plane of the plasma membrane when mouse cellsurface proteins and human cell-surface proteins were observed to integrate along a fused mouse-human cell plasma membrane. Which of the following cell culture techniques was most likely employed in order to yield these results? | [
"Producing a heterokaryon",
"Producing a hybrid cell",
"Isolating an immortal variant cell from culture and using it to create a cell line",
"Inserting a tumor-inducing virus into a normal cell to initiate transformation"
] | college_biology | 0 | default |
Statement 1 | Some abelian group of order 45 has a subgroup of order 10. Statement 2 | A subgroup H of a group G is a normal subgroup if and only if thenumber of left cosets of H is equal to the number of right cosets of H. | [
"True, True",
"False, False",
"True, False",
"False, True"
] | abstract_algebra | 1 | default |
Which of the following deals with network intrusion detection and real-time traffic analysis? | [
"John the Ripper",
"L0phtCrack",
"Snort",
"Nessus"
] | computer_security | 2 | default |
Compared with a sound of 60 decibels, a sound of 80 decibels has an intensity | [
"10 times greater",
"100 times greater",
"1000 times greater",
"more than 1000 times greater"
] | conceptual_physics | 1 | default |
Which of the following is NOT a group? | [
"The integers under addition",
"The nonzero integers under multiplication",
"The nonzero real numbers under multiplication",
"The complex numbers under addition"
] | college_mathematics | 1 | default |
A stone is thrown horizontally with an initial speed of 30 m/s from a bridge. Find the stone's total speed when it enters the water 4 seconds later, assuming that air resistance is negligible. | [
"30 m/s",
"40 m/s",
"50 m/s",
"60 m/s"
] | high_school_physics | 2 | default |
When an increase in speed doubles the momentum of a moving body its kinetic energy | [
"increases but less than doubles",
"doubles",
"more than doubles",
"depends on factors not stated"
] | conceptual_physics | 2 | default |
A high school sent a survey to a randomly selected sample of 75 of last year's graduating class. 27 of those selected did not return the survey. The best plan of action would be to: | [
"Use the surveys that were returned and change the sample size to 48 for the analysis.",
"Use the surveys that were returned and leave the sample size at 75 for the analysis.",
"Randomly select 27 additional class members and send the survey to them.",
"Follow up with those that did not return the survey to e... | high_school_statistics | 3 | default |
A toy car and a toy truck collide. If the toy truck’s mass is double the toy car’s mass, then, compared to the acceleration of the truck, the acceleration of the car during the collision will be | [
"double the magnitude and in the same direction",
"double the magnitude and in the opposite direction",
"half the magnitude and in the same direction",
"half the magnitude and in the opposite direction"
] | high_school_physics | 1 | default |
Crossing-over occurs during which of the following phases in meiosis? | [
"Prophase I",
"Metaphase I",
"Anaphase I",
"Prophase II"
] | high_school_biology | 0 | default |
Which of the following is a variable displacement transducer? | [
"tachometer",
"potentiometer",
"synchros",
"none of the above"
] | electrical_engineering | 1 | default |
How does the greenhouse effect work? | [
"Ozone transmits visible light allowing it to heat the surface but then absorbs most of the infrared heat trapping the heat near the surface.",
"Greenhouse gases transmit visible light allowing it to heat the surface but then absorb infrared light from Earth trapping the heat near the surface.",
"Greenhouse gas... | astronomy | 1 | default |
Which of the following is NOT a property of bitmap graphics? | [
"Fast hardware exists to move blocks of pixels efficiently.",
"Realistic lighting and shading can be done.",
"All line segments can be displayed as straight.",
"Polygons can be filled with solid colors and textures."
] | college_computer_science | 2 | default |
The process in which pioneer species colonize a bare substrate such as rock, sand, or glacial till is known as | [
"weathering",
"stabilizing succession",
"secondary succession",
"primary succession"
] | college_biology | 3 | default |
Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$. Find the sum of all possible values of $g(25)$. | [
"13",
"25",
"9",
"20"
] | high_school_mathematics | 3 | default |
Which of the following structures should be visible on a dental panoramic radiograph? | [
"The mandibular canal",
"The mandibular canal and maxillary sinus",
"The mandibular canal, maxillary sinus and hard palate",
"The mandibular canal, maxillary sinus, hard palate and zygomatic arch"
] | anatomy | 3 | default |
Which factor s most important in determining the history of volanism and tectonism on a planet? | [
"size of the planet",
"presence of an atmosphere",
"distance from the sun",
"rotation period"
] | astronomy | 0 | default |
If f is a linear function with nonzero slope, and c < d, which of the following must be FALSE? | [
"f (c) = f (d)",
"f (c) ≠ f (d)",
"f (c) > f (d)",
"f (c) < f (d)"
] | high_school_mathematics | 0 | default |
The impulse–momentum relationship is a direct result of Newton’s | [
"first law",
"second law",
"third law",
"law of gravity"
] | conceptual_physics | 1 | default |
Statement 1 | The external direct product of cyclic groups is cyclic. Statement 2 | The external direct product of D_3 and D_4 is isomorphic to D_12. | [
"True, True",
"False, False",
"True, False",
"False, True"
] | abstract_algebra | 1 | default |
In the diamond structure of elemental carbon, the nearest neighbors of each C atom lie at the corners of a | [
"square",
"hexagon",
"cube",
"tetrahedron"
] | college_physics | 3 | default |
Which of the following is false? | [
"The following fully connected network without activation functions is linear: $g_3(g_2(g_1(x)))$, where $g_i(x) = W_i x$ and $W_i$ are matrices.",
"Leaky ReLU $\\max\\{0.01x,x\\}$ is convex.",
"A combination of ReLUs such as $ReLU(x) - ReLU(x-1)$ is convex.",
"The loss $\\log \\sigma(x)= -\\log(1+e^{-x})$ is... | machine_learning | 2 | default |
The supply frequency usually employed for high frequency eddy current heating is | [
"1 KHz.",
"5 KHz.",
"10 MHz.",
"10 KHz to 400 KHz."
] | electrical_engineering | 3 | default |
Three steel containers hold gas samples. The containers are all the same size and at the same temperature. One container has 4.0 g of helium, another has 28.0 g of nitrogen, and the third has 44.0 g of carbon dioxide. Pick the FALSE statement from the following list: | [
"The densities increase in the order helium < nitrogen < carbon dioxide.",
"The number of molecules in all the containers is the same.",
"The pressure in all three containers is the same.",
"The average speed of all the molecules is the same."
] | high_school_chemistry | 3 | default |
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