question_id int64 70 12.3k | question stringlengths 9 4.67k | options listlengths 3 10 | answer stringclasses 10 values | answer_index int64 0 9 | cot_content stringclasses 1 value | category stringclasses 14 values | src stringclasses 91 values |
|---|---|---|---|---|---|---|---|
7,112 | A monopoly with a straight, downward-sloping demand curve has a marginal revenue curve that is | [
"initially upward sloping and then downward sloping",
"the same as the demand curve",
"in the shape of a U",
"the inverse of the demand curve",
"parallel to the demand curve",
"upward sloping",
"halfway between the demand curve and the vertical axis",
"initially downward sloping and then upward slopin... | G | 6 | economics | ori_mmlu-high_school_microeconomics | |
11,542 | A multiple disc clutch is used to operate the speed regulating gears of a lathe. If the torque delivered by the clutch is 400 lbs.-in., evaluate the number of discs necessary and the force acting on them while the clutch is in operation. Assume a factor of safety of 2 and limit the disc friction surface sizes between 5 in. and 3 in. | [
"Three discs, Force on the discs = 1028 lbs.",
"Four discs, Force on the discs = 1200 lbs.",
"Two discs, Force on the discs = 1600 lbs.",
"Four discs, Force on the discs = 800 lbs.",
"Six discs, Force on the discs = 666.7 lbs.",
"Two discs, Force on the discs = 1256.6 lbs.",
"One disc, Force on the disc... | A | 0 | engineering | stemez-MachineDesign | |
2,915 | Why does one experience difficulty in breathing at high altitudes ? | [
"At high altitudes, the amount of hemoglobin in blood decreases",
"At high altitudes, the body's respiratory rate decreases, leading to reduced oxygen intake",
"At high altitudes, the air is less polluted, leading to difficulty in adapting to the cleaner environment",
"At high altitudes, the air becomes thick... | F | 5 | biology | stemez-Biology | |
9,237 | What is the intensity of the electric field 10 cm from a negative point charge of 500 stat-coulombs in air? | [
"5 dyne/stat-coul",
"8 dyne/stat-coul",
"0.5 dyne/stat-coul",
"100 dyne/stat-coul",
"10 dyne/stat-coul",
"20 dyne/stat-coul",
"0.2 dyne/stat-coul",
"1 dyne/stat-coul",
"2 dyne/stat-coul",
"50 dyne/stat-coul"
] | A | 0 | physics | stemez-Physics | |
8,124 | You and three friends go to a concert. The total cost for four tickets is $112. Write and solve an equation to find the cost of one ticket t. | [
"4 - t = 112; -$108",
"4t = 112; $28",
"t over 4 = 112; $448",
"t + 4 = 112; $108",
"t over 4 = 112; $28",
"4t - 112 = 0; $448",
"4t = 112; $448",
"t/112 = 4; $0.0357",
"112t = 4; $44800",
"t - 4 = 112; $116"
] | B | 1 | math | ori_mmlu-elementary_mathematics | |
3,690 | A sample of polymer contains 0.50 mole fraction with molecular weight 100,000 and 0.50 mole fraction with molecular weight 200,000. Calculate (a) the number average molecular weight, M_n and (b) the weight average molecular weight, M_w. | [
"M_n = 200,000 g/mole, M_w = 1.0 × 10^5 g/mole",
"M_n = 150,000 g/mole, M_w = 1.67 × 10^5 g/mole",
"M_n = 250,000 g/mole, M_w = 0.67 × 10^5 g/mole",
"M_n = 150,000 g/mole, M_w = 2.0 × 10^5 g/mole",
"M_n = 150,000 g/mole, M_w = 1.5 × 10^5 g/mole",
"M_n = 100,000 g/mole, M_w = 2.0 × 10^5 g/mole",
"M_n = 1... | B | 1 | chemistry | stemez-Chemistry | |
4,719 | This question refers to the following information.
"Whereas it is expedient that new provisions and regulations should be established for improving the revenue of this kingdom, and for extending and securing the navigation and commerce between Great Britain and your Majesty's dominions in America, which, by the peace, have been so happily enlarged: and whereas it is just and necessary, that a revenue be raised, in your Majesty's said dominions in America, for defraying the expenses of defending, protecting, and securing the same; we, your Majesty's most dutiful and loyal subjects, the commons of Great Britain, in parliament assembled, being desirous to make some provision, in this present session of parliament, towards raising the said revenue in America, have resolved to give and grant unto your Majesty the several rates and duties herein after-mentioned…."
The Sugar Act of 1764
The goals presented in the excerpt have the most in common with which of the following? | [
"Decreasing federal income tax rates in the 1980",
"The economic stimulus package during the 2008 financial crisis",
"The protective tariffs established during the Industrial Revolution",
"The implementation of the Gold Standard in the 19th century",
"The deregulation policies of the 1980s",
"The establis... | J | 9 | history | ori_mmlu-high_school_us_history | |
3,614 | Given thatK_spfor Mg(OH)_2 is 1.2 × 10-^11 , calculate the solubility of this compound in grams per 100ml of solution. The reaction equation is Mg(OH)_2 \rightleftarrows Mg+^2 + 2OH- . | [
"3.6 × 10^-4 grams/100ml",
"1.4 × 10-^4 grams/100ml",
"0.12 grams/100ml",
"9.0 × 10^-2 grams/100ml",
"8.16 × 10-^4 grams/100ml",
"1.2 × 10-^11 grams/100ml",
"5.8 × 10^-5 grams/100ml",
"58.312 grams/100ml",
"1.2 × 10^-6 grams/100ml",
"2.4 × 10^-3 grams/100ml"
] | E | 4 | chemistry | stemez-Chemistry | |
10,013 | (a) What is the acceleration of gravity on the moon's surface, g_m (as compared to the acceleration of gravity on the earth surface,g_e) if the diameter of the moon is one-quarter that of the earth's and its density is two-thirds that of the earth? (b) An astronaut, in his space suit and fully equipped, can jump 2 ft vertically on earth using maximum effort. How high can he jump on the moon? | [
"g_m = (1/6)g_e, 12 ft",
"g_m = (1/7)g_e, 16 ft",
"g_m = (1/4)g_e, 15 ft",
"g_m = (1/3)g_e, 6 ft",
"g_m = (1/9)g_e, 18 ft",
"g_m = (1/5)g_e, 9 ft",
"g_m = (1/2)g_e, 8 ft",
"g_m = (1/8)g_e, 14 ft",
"g_m = (2/3)g_e, 3 ft",
"g_m = (1/4)g_e, 10 ft"
] | A | 0 | physics | stemez-Physics | |
11,414 | Compute the impact stress in a steel rod which is hit by a block weighing 45 lbs. The speed of the block is 40 in./sec. The rod is 18 in. long and has a diameter of 1(1 / 4) in. | [
"8,762.3 psi",
"4,321.0 psi",
"25,678.9 psi",
"6.25 lbs",
"30,000 psi",
"22,628.7 psi",
"15601.8 psi",
"18,500 psi",
"12,345.6 psi",
"5947.5 psi"
] | F | 5 | engineering | stemez-MachineDesign | |
6,114 | A 4-year-old boy is brought to the physician because of temperatures to 39.4°C (102.9°F) for 8 days. Examination shows anterior cervical lymphadenopathy, nonexudative conjunctivitis bilaterally, a strawberry tongue, an erythematous truncal rash, and edema of the hands and feet. Which of the following is the most appropriate pharmacotherapy to prevent complications of this illness? | [
"Oral amoxicillin",
"Intravenous corticosteroids",
"Intravenous azithromycin",
"Intravenous penicillin",
"Oral ibuprofen",
"Intravenous immune globulin",
"Oral isoniazid",
"Intravenous prednisone",
"Intravenous vancomycin",
"Oral aspirin"
] | F | 5 | health | ori_mmlu-professional_medicine | |
5,345 | In year 6, an IRS agent completed an examination of a corporation’s year 5 tax return and proposed an adjustment that will result in an increase in taxable income for each of years 1 through year 5. All returns were filed on the original due date. The proposed adjustment relates to the disallowance of corporate jet usage for personal reasons. The agent does not find the error to be fraudulent or substantial in nature. Which of the following statements regarding this adjustment is correct? | [
"The adjustment is improper because the statute of limitations has expired for several years of the adjustment",
"The adjustment is improper because the agent did not find the error to be fraudulent or substantial in nature.",
"The adjustment is proper because it relates to the disallowance of personal usage of... | A | 0 | other | ori_mmlu-professional_accounting | |
6,275 | The best available evidence for an association between amount of sugars and risk of dental caries comes from which type of study design?
| [
"Cohort",
"Case-control study",
"Meta-analysis",
"Experimental study",
"Cross sectional observational",
"Longitudinal study",
"Non-randomised controlled",
"Qualitative study",
"Randomised controlled",
"Ecological study"
] | A | 0 | health | ori_mmlu-nutrition | |
12,164 | The forces experienced by a test charge q for three different velocities at a point in a region characterized by electric and magnetic fields are given by F_1= q[E_0i_x + (E_0 - v_0B_0)i_y]forv_1= v_0i_x F_2= q[(E_0 + v_0B_0)i_x + E_0i_y]forv_2= v_0i_y- F_3= q[E_0i_x + E_0i_y]forv_3= v_0i_z where v_0, E_0, and B_0 are constants. FindE and B at the point. | [
"E= E_0 (i_x +i_y), B= B_0i_z",
"E= E_0(i_y - i_x), B= -B_0(i_y + i_z)",
"E= E_0(i_x + 2i_y), B= B_0(i_y - i_z)",
"E= -E_0 (i_x +i_y), B= B_0i_z",
"E= 0, B= B_0(i_x + i_y + i_z)",
"E= E_0 (i_x +i_y), B= -B_0i_z",
"E= E_0 (i_x - i_y), B= B_0i_z",
"E= E_0i_x, B= B_0(i_x + i_y)",
"E= 2E_0(i_x + i_y), B... | A | 0 | engineering | stemez-Electromagnetics | |
5,369 | According to Buzan, Waever, and de Wilde, in what ways does the Copenhagen School's approach to Security Studies differ from that of Critical Security Studies? | [
"The theory and knowledge that underpin each approach are fundamentally at odds with one another. Whilst Critical Security Studies is post-structuralist and constructivist, the Copenhagen School is based on an objectivist epistemology.",
"Whilst Critical Security Studies regards security to be a social constructi... | A | 0 | other | ori_mmlu-security_studies | |
1,042 | A salesman, who had worked 20 years for the same company, was suddenly terminated for no apparent reason. Thereafter, the salesman sued the company, alleging age discrimination. At trial, he wants to call an employee of the company as an adverse witness. The salesman seeks to have the employee testify that she was present at a company board meeting when the company's president allegedly said, "Now, I'm sure that everyone agrees that the salesman is too old, and he really doesn't typify the image we want our employees to project. " It is the common practice of the company to tape record all such board meetings. Moreover, it is customary for the company's secretary to transcribe the tapes following the board meetings. Upon objection by the company's attomey, the employee's proposed testimony will be held | [
"inadmissible, because the secretary's transcribed notes are the best evidence.",
"inadmissible, because the president's statement is not relevant to the case.",
"admissible, because the employee was present during the board meeting.",
"admissible, because the president's statement is direct evidence of age d... | E | 4 | law | ori_mmlu-professional_law | |
7,910 | Given that the sample has a standard deviation of zero, which of the following is a true statement? | [
"The population mean is also zero.",
"The sample mean and sample mode are not equal.",
"The sample size must be very small.",
"All data points in the sample are outliers.",
"The sample may have outliers.",
"The sample has a skewed distribution.",
"The standard deviation of the population is also zero.",... | I | 8 | math | ori_mmlu-high_school_statistics | |
148 | a frame house, located in a Class A town, insured for $24,000, or the sameframe house, located in a Class B town, insured for thesame $24,000? How much of a difference is there? | [
"$3.30",
"$45.70",
"$15.00",
"$7.20",
"$10.70",
"$8.40",
"$12.50",
"$5.60",
"$9.90",
"$6.80"
] | D | 3 | business | stemez-Business | |
5,734 | Congress would be required to use the "elastic clause" of the Constitution to | [
"increase tax rates",
"declare war",
"amend the constitution",
"establish post offices",
"impose workplace safety standards",
"change citizenship requirements",
"authorize the treasury to print money",
"regulate interstate commerce",
"impeach the president"
] | E | 4 | other | ori_mmlu-high_school_government_and_politics | |
8,432 | 5.5-1. Let $X_1, X_2, \ldots, X_{16}$ be a random sample from a normal distribution $N(77,25)$. Compute
(b) $P(74.2<\bar{X}<78.4)$. | [
"$0.6398$",
"$0.9544$",
"$0.4772$",
"$0.7234$",
" $0.8561$",
"$0.9750$",
"$0.6826$",
"$0.9042$",
"$0.8128$",
"$0.8925$"
] | E | 4 | math | scibench-stat | |
12,066 | A gravity fed lock in a proposed shipping canal is to be studied with a 1/100-scale geometrically similar model. (a) If the model lock fills in 0.8 min, estimate the time for the prototype to fill. (b) Find the ratio of corresponding mass flow rates in the model and prototype locks. | [
"5 min, \\(\\lambda^7/2\\)",
"9 min, \\lambda^3/2",
"11 min, \\(\\lambda^4\\)",
"12 min, \\(\\lambda^5/3\\)",
"7 min, \\lambda^4/2",
"6 min, \\lambda^6/2",
"8 min, \\lambda^5/2",
"4 min, \\(\\lambda^2\\)",
"10 min, \\(\\lambda^3\\)",
"15 min, \\(\\lambda^7/3\\)"
] | G | 6 | engineering | stemez-FluidMechanics | |
11,047 | Marcia Baron argues that the artificiality of ticking bomb cases is problematic because | [
"the artificial assumptions are, in fact, empirical claims that are central to the debate.",
"it leads us to believe that torture is always permissible.",
"all artificial thought experiments are philosophically useless."
] | A | 0 | philosophy | ori_mmlu-moral_disputes | |
1,076 | A grantor executed a deed by which he conveyed his apartment building for a consideration of one dollar, receipt of which was acknowledged, "to my son for life, then to my uncle for life, but if my uncle moves to another state, to my brother for the life of my uncle, then to the heirs of my uncle if my uncle does not move to another state, and to the heirs of my brother if my uncle does move to another state. " This deed was promptly recorded. During the son's lifetime, the brother's interest may best be described as a (an) | [
"contingent remainder pur autre vie.",
"vested remainder absolute.",
"estate pur autre vie.",
"shifting executory interest pur autre vie.",
"vested remainder pur autre vie.",
"contingent remainder in fee simple.",
"contingent executory interest pur autre vie.",
"vested remainder in fee simple.",
"ve... | D | 3 | law | ori_mmlu-professional_law | |
6,415 | Which of the following karyotypes is diagnostic of Down syndrome | [
"45,XY,rob,(13;21)(q10;q10)",
"47,XY,+13",
"48,XY,+13,+21",
"44,XX,rob,(14;21)(q10;q10)",
"46,XX,der(14;21)(q10;q10)pat+21",
"46,XX,t(2;3)(q21;q12)",
"46,XY,t(2;3)(q21;q12)",
"47,XX,+21",
"46,XY,der(13;21)(q10;q10)pat+21",
"45,XX,rob,(14;21)(q10;q10)"
] | E | 4 | health | ori_mmlu-medical_genetics | |
2,669 | Large deficits of water can be only partly compensated for by renal conservation; drinking is the ultimate compensatory mechanism. What stimulates the subjective feeling of thirst which drives one to drink water? | [
"Decreased blood sodium levels",
"Low plasma osmolarity",
"Low body temperature",
"High blood pressure",
"Low levels of antidiuretic hormone (ADH)",
"A high intracellular fluid volume",
"A low extracellular fluid volume and a high plasma osmolarity",
"High extracellular fluid volume",
"Increased sal... | G | 6 | psychology | stemez-Psychology | |
8,606 | x=0.3168. what is the value of $x*\prod_{n=1}^\infty(1-\frac{x^2}{n^2 \pi^2})/sin(x)$? | [
"1.5",
"1.0",
"2.0",
"1.732",
"-1.0",
"0.5",
"0.0",
"0.3168",
"2.5",
"3.14"
] | B | 1 | math | theoremQA-Math | |
9,611 | A uniform circular disk of radius 25 cm is pivoted at a point 20 cm from its center and allowed to oscillate in a vertical plane under the action of gravity. What is the period of its small oscillations? Take g as \pi^2 m.s^-2. | [
"2.782 s",
"3.141 s",
"2.386 s",
"0.892 s",
"1.193 s",
"1.892 s",
"0.597 s",
"0.995 s",
"2.124 s",
"0.35625 s"
] | E | 4 | physics | stemez-Physics | |
7,216 | What is the importance of product differentiationin monopolistic competition? | [
"Product differentiation defines monopolistic competition and gives each firm some control over price.",
"Product differentiation ensures that all products become perfect substitutes.",
"Product differentiation is irrelevant in monopolistic competition.",
"Product differentiation means that firms do not need ... | A | 0 | economics | stemez-Economics | |
7,393 | Suppose $ 100 is deposited into a bank. If the required re-serve ratio is 100%, what is the demand deposit multiplier and what is the total addition to demand deposits of the banking system resulting from the initial deposit? | [
"3 and $300",
"0.8 and $80",
"1.25 and $125",
"1.5 and $150",
"2 and $300",
"2 and $200",
"0.5 and $150",
"1 and $200",
"0.5 and $50",
"1 and $100"
] | J | 9 | economics | stemez-Economics | |
100 | Steven Moore purchased a new car for $3,462.20, including taxes and all other charges. He wishes to pay for it in 35 months. Find his monthly payments. | [
"$100.20",
"$102.55",
"$110.35",
"$95.46",
"$98.92",
"$96.06",
"$107.49",
"$105.23",
"$89.78",
"$93.20"
] | E | 4 | business | stemez-Business | |
11,779 | A short dipole has a radiation resistance R_r=\surd(\mu_0 / \epsilon_0) [(\betal)^2 / 6\pi] ohms. FindA_emthe maximum effectiveaperture of this dipole. | [
"0.075 \\lambda^2",
"0.200 \\lambda^2",
"0.180 \\lambda^2",
"0.089 \\lambda^2",
"0.102 \\lambda^2",
"0.119 \\lambda^2",
"0.134 \\lambda^2",
"0.145 \\lambda^2",
"0.160 \\lambda^2",
"0.050 \\lambda^2"
] | F | 5 | engineering | stemez-Electromagnetics | |
7,312 | Consider an identical situation to that of question 21, except that now a 2-sided alternative is used. What would now be the appropriate conclusion? | [
"H0 is rejected",
"H0 is not rejected",
"H1 is rejected",
"There is insufficient information given in the question to reach a conclusion"
] | A | 0 | economics | ori_mmlu-econometrics | |
12,196 | A liquid is compressed isothermally inside a chamber. Obtain an expression for the total amount of work required if the compression process isquasistaticand is given by the equation In (V / V_0) = - A(p - p_0) where A, V_0 and p_0 are constants. | [
"W = (AV_0) (1 / p_2 - 1 / p_1)",
"W = (A / V_0) (p_1 - p_2)",
"W = (A / V_0) ln(p_2 / p_1)",
"W= (AV / 2) (p_2^2 - p_1^2)",
"W = -A ln(V / V_0) (p_2 - p_1)",
"W= - (AV / 2) (p_1^2 - p_2^2)",
"W = A(V_0 / V) (p_2 - p_1)",
"W= - (AV / 2) (p_2^2 - p_1^2)",
"W = A(V_0 + V) (p_2 - p_1)"
] | H | 7 | engineering | stemez-Thermodynamics | |
8,688 | A veterinarian holds a cat and steps on a scale. The scale reads 157.8 lb. The veterinarian weighs 148.3 lb alone. Which is the best estimate for the weight of the cat? | [
"Between 12 and 15 lb",
"Between 20 and 23 lb",
"Between 16 and 19 lb",
"Between 4 and 7 lb",
"Between 8 and 11 lb",
"Between 28 and 31 lb",
"Between 1 and 3 lb",
"Between 24 and 27 lb",
"Between 32 and 35 lb",
"Between 36 and 39 lb"
] | E | 4 | math | ori_mmlu-elementary_mathematics | |
7,766 | For how many positive integral values of x ≤ 100 is 3^x − x^2 divisible by 5? | [
"25",
"50",
"15",
"20",
"10",
"35",
"40",
"55",
"30",
"45"
] | D | 3 | math | theoremQA-Math | |
9,253 | From laboratory measurements we know that a particular spectral line formed by hydrogen appears at a wavelength of 486.1 nanometers (nm). The spectrum of a particular star shows the same hydrogen line appearing at a wavelength of 485.9 nm. What can we conclude? | [
"The star's brightness is fluctuating.",
"The star's size is increasing.",
"The star's size is decreasing.",
"The star's temperature is constant.",
"The star is getting hotter.",
"The star is not moving.",
"The star is rotating on its axis.",
"The star is getting colder.",
"The star is moving away f... | J | 9 | physics | ori_mmlu-astronomy | |
3,731 | The ${ }^7 \mathrm{Li}^1 \mathrm{H}$ ground electronic state has $D_0=2.4287 \mathrm{eV}, \nu_e / c=1405.65 \mathrm{~cm}^{-1}$, and $\nu_e x_e / c=23.20 \mathrm{~cm}^{-1}$, where $c$ is the speed of light. (These last two quantities are usually designated $\omega_e$ and $\omega_e x_e$ in the literature.) Calculate $D_e$ for ${ }^7 \mathrm{Li}^1 \mathrm{H}$. | [
"2.4000 eV",
"2.6000 $\\mathrm{eV}$",
"2.5500 eV",
"2.3000 $\\mathrm{eV}$",
"2.4287 $\\mathrm{eV}$",
"2.3500 eV",
" 2.5151 $\\mathrm{eV}$",
"2.4500 eV",
"2.4850 eV",
"2.5350 eV"
] | G | 6 | chemistry | scibench-quan | |
9,665 | A thin lens is made of crown glass for which ѵ_1 = 60.2 [ѵ = {1 / (dispersive power)}] . Another thin lens is made of flint glass for which ѵ_2 36.2. When the two lenses are placed in contact they form an achromatic combination with focal length 10 cm. Find the focal length of each lens. | [
"f_2 = 3.50 cm, f_1 = -6.30 cm",
"f_2 = 6.25 cm, f_1 = -8.57 cm",
"f_2 = 2.50 cm, f_1 = -5.00 cm",
"f_2 = 7.00 cm, f_1 = -9.33 cm",
"f_2 = 3.00 cm, f_1 = -5.50 cm",
"f_2 = 4.50 cm, f_1 = -6.00 cm",
"f_2 = 4.75 cm, f_1 = -7.25 cm",
"f_2 = 5.00 cm, f_1 = -7.50 cm",
"f_2 = 3.99 cm, f_1 = -6.63 cm",
"... | I | 8 | physics | stemez-Optics | |
9,009 | S(n) is a statement about positive integers n such that whenever S(k) is true, S(k + 1) must also be true. Furthermore, there exists some positive integer n0 such that S(n0) is not true. Of the following, which is the strongest conclusion that can be drawn? | [
"S(n) is not true for any n = n0",
"S(n) is not true for any n <= n0",
"S(n) is not true for any n > n0",
"S(n) is not true for any n < n0",
"S(n0 - 2) is not true.",
"S(n) is not true for any n >= n0",
"S(n) is not true for any n != n0",
"S(n0 + 2) is not true.",
"S(n0 - 1) is not true.",
"S(n0 +... | B | 1 | math | ori_mmlu-college_mathematics | |
11,455 | Determine the distance downstream from the bow of a ship moving at 7.59ktsrelative to still water at which the boundary layer becomes turbulent. Also, determine the boundary layer thickness at this point and the total friction drag coefficient for this portion of the surface of the ship. Let the maximum value of Reynolds number R_x = 5 × 10^5 be where the flow ceases to be laminar, so that the flow is turbulent for R_x > 5 × 10^5. Assume \rho = 1.94 slugs/ft^3 and ѵ = 1.21 × 10^-5 ft^2/sec. | [
"0.55 ft, 0.0110 ft, 2.50 × 10^-3",
"0.5 ft, 0.0100 ft, 1.00 × 10^-3",
"0.62 ft, 0.0115 ft, 2.20 × 10^-3",
"0.42 ft, 0.0120 ft, 2.00 × 10^-3",
"0.47 ft, 0.0102 ft, 1.92 × 10^-3",
"0.48 ft, 0.0090 ft, 1.70 × 10^-3",
"0.53 ft, 0.0105 ft, 1.50 × 10^-3",
"0.60 ft, 0.0095 ft, 1.80 × 10^-3",
"0.35 ft, 0.0... | E | 4 | engineering | stemez-FluidMechanics | |
11,796 | For a steady, turbulent, constant property, two dimensional boundarylayer-type flow over a flat plate at zero angle of approach, the velocity profile is given by u = v(y/\delta)^1^/7(1) where v = free stream velocity \delta = boundary layer thickness andthe local skin friction coefficient is given by C_f= [\tau / {(1/2)\rhoV^2}] = 0.045(ѵ /\rhoV)^1/4(2) where \tau = local shear stress \rho = density of the flowing fluid ѵ = kinematic viscosity Determine the local boundary layer thickness \delta, as a functionof x, by substituting the given equations into the integralform of the momentum equation. | [
"\\(\\delta= \\frac{(0.37x)^2}{(Re_x)^{1/5}}\\)",
"\\(\\delta= \\frac{(0.37x)}{(Re_x)^{1/3}}\\)",
"\\delta= {(0.37x) / (Re_x)^1^/6}",
"\\(\\delta= \\frac{(0.47x)}{(Re_x)^{1/5}}\\)",
"\\(\\delta= \\frac{(0.37x)}{Re_x}\\)",
"\\(\\delta= \\frac{(0.50x)}{(Re_x)^{1/5}}\\)",
"\\delta= {(0.37x) / (Re_x)^1^/5}"... | G | 6 | engineering | stemez-TransportPhenomena | |
5,795 | In recent research, the 14,000 stories that could be accessed on Google News' front page in a day pertained to how many actual news events? | [
"9,574",
"326",
"5,000",
"10,000",
"24",
"500",
"100",
"50",
"1,000",
"18"
] | E | 4 | other | ori_mmlu-public_relations | |
8,012 | In one metropolitan region, technical writers have an annual salary that is approximately normally distributed with a mean of $55,800. The first quartile of salaries is $48,815. What is the standard deviation? | [
"$12,000",
"$14,500",
"$7,000",
"$10,356 ",
"$10,476 ",
"$13,968 ",
"$8,500",
"$11,500",
"$9,200",
"$6,984 "
] | D | 3 | math | ori_mmlu-high_school_statistics | |
739 | If Mr. Hammer's disposable income last year was $5,000 and his total expenditures were 4,600, what was his propensity to save? | [
"7%",
"3%",
"12%",
"15%",
"10%",
"8%",
"5%",
"25%",
"2%",
"20%"
] | F | 5 | business | stemez-Business | |
8,994 | The distance from Chicago to New York City is 794 miles. What is 794 rounded to the nearest hundred? | [
"750",
"900",
"700",
"780",
"850",
"760",
"800",
"794",
"894",
"810"
] | G | 6 | math | ori_mmlu-elementary_mathematics | |
1,735 | A home security protection company provided protection services to property owners in the immediate area. The owner of a summer cottage in the area hired the company to provide 24- hour protection during the winter months when his home was unoccupied. According to the security arrangement, the company's uniformed guards would periodically patrol the property and, if necessary, provide an "armed response" to any unauthorized individuals who were found trespassing on the property. The company provided security protection to the owner's property for two years. The owner then notified the company that he was planning to sell the cottage. As a result, he requested that the company discontinue its home-protection service, effective immediately. Two weeks later, a burglar broke into the cottage and was ransacking it. As the burglar was exiting from the owner's house carrying a portable television set, he was seen by a security guard working for the company. The security guard, who was driving past the home on security patrol, had not been informed that the owner had discontinued protection services. The security guard suddenly stopped his patrol vehicle and ran toward the burglar shouting, "Stop! Don't move or I'll shoot!" Startled, the burglar dropped the television set and began to flee. Believing that the suspected burglar was about to escape, the security guard pulled out his service revolver and fired a bullet at the burglar. The shot struck the burglar in the leg, seriously wounding him. If the burglar asserts a claim against the owner for negligently failing to supervise those providing security services for the owner's property, the burglar will probably | [
"not prevail, because the security guard was acting in the course of his duties.",
"prevail, because the burglar was unarmed when he was shot.",
"prevail, because the security guard acted without proper authorization.",
"prevail, because the security guard used excessive force.",
"not prevail, because the o... | F | 5 | law | ori_mmlu-professional_law | |
6,757 | A male neonate, who was born at 36 weeks' gestation 2 hours ago in the labor and delivery unit of the hospital, now shows signs of respiratory difficulty. The mother, an 18-year-old primigravid woman, smoked one pack of cigarettes daily throughout her pregnancy. She received prenatal care during most of the pregnancy. One episode of chlamydial cervicitis was detected during the last trimester and treated with azithromycin. The neonate was born via cesarean delivery due to fetal heart rate decelerations. The amniotic fluid was stained with light particulate meconium. Apgar scores were 9 and 9 at 1 and 5 minutes, respectively. The patient is 50 cm (20 in; 50th percentile) long and weighs 3005 g (6 lb 10 oz; 50th percentile); head circumference is 35 cm (14 in; 50th percentile). The infant's vital signs now are temperature 36.6°C (97.8°F), pulse 150/min, and respirations 70/min. Pulse oximetry on room air shows an oxygen saturation of 95%. Physical examination discloses mild subcostal and intercostal retractions. Chest x-ray shows prominent pulmonary vascular markings and fluid in the intralobar fissures. Which of the following is the most likely diagnosis? | [
"Group B streptococcal sepsis",
"Pulmonary embolism",
"Respiratory distress syndrome",
"Congenital heart disease",
"Neonatal pneumonia",
"Meconium aspiration syndrome",
"Transient tachypnea of newborn",
"Pulmonary hypoplasia",
"Pneumothorax",
"Pneumonia"
] | G | 6 | health | ori_mmlu-professional_medicine | |
11,735 | Find the inverse Laplace transforms (a) L^-1{2s / (s^2 + 1)^2}, (b) L^-1{1 / \surds} | [
"t sin t, (1 / \\surd\\pi) \bullet (1 / \\surdt)",
"cos t, (1 / \\surd\\pi) \\cdot t e^{-t^2}",
"e^t sin t, (1 / 2\\surd\\pi) \\cdot t",
"t cos t, (1 / \\surd\\pi) \bullet (1 / \\surdt)",
"t^2 sin t, (1 / 2\\surd\\pi) \\cdot (1 / \\surdt)",
"t tan t, (1 / \\surd\\pi) \bullet (1 / \\surdt)",
"t^2 e^t, (1... | A | 0 | engineering | stemez-ElectronicCommunications | |
6,575 | What is the main source of protein in the British diet?
| [
"Milk and milk products",
"Pulses",
"Fish and fish products",
"Soy and soy products",
"Cereals and cereal products",
"Rice and rice products",
"Nuts and seeds",
"Eggs and egg products",
"Fruits and vegetables",
"Meat and meat products"
] | J | 9 | health | ori_mmlu-nutrition | |
11,100 | " _Ad crumenam_ " is a specific kind of | [
"Slippery Slope",
"Hasty Conclusion",
"False sign",
"False analogy",
"Bandwagon Fallacy",
"Circular Reasoning",
"Hasty Generalization",
"Straw Man Fallacy",
"Red Herring"
] | C | 2 | philosophy | ori_mmlu-logical_fallacies | |
6,868 | Why is it that interest payments on government bonds are not included as income currently earned, particularly, when interest on the bonds of private firms is included in na-tional income as earned income? | [
"Interest on government bonds is classified as a loan repayment rather than income",
"Interest on government bonds is reinvested and not paid out",
"Interest on government bonds is tax-free",
"Interest payments are deferred to the maturity of the bonds",
"Interest paid on such debt does not reflect the gene... | E | 4 | economics | stemez-Economics | |
1,841 | A brother and a sister purchased land under a deed that conveyed title to them as joint tenants with right ofsurvivorship. Common law joint tenancy is unmodified by statute in the jurisdiction. The purchase price was $50,000, of which the sister paid $10,000 and the brother paid $40,000. The sisterlater mortgaged her interest in the land. The brother then died testate, leaving his entire estate to a cousin. Thesister later paid off her mortgage debt, and the mortgage was released. At the present time, who owns the land? | [
"Title is entirely in the cousin as the beneficiary of the brother's will.",
"The answer depends on whether the jurisdiction follows the lien theory or the title theory ofmortgages.",
"The brother's share of the land is in probate, while the sister retains her original share.",
"Title is in the sister, the co... | B | 1 | law | ori_mmlu-professional_law | |
6,442 | A 15-year-old male presents to the office with the complaint of painless swelling in the left testicle that has varied in size over the past several months. There is no history of trauma. The lesion transilluminates well, and no inguinal nodes are palpable. Findings from a testicular scan are normal. The most appropriate management includes | [
"injection with a sclerosing agent",
"ultrasonic therapy",
"oral medication",
"needle biopsy",
"cryotherapy",
"surgical repair",
"radiation therapy",
"laser therapy",
"chemotherapy",
"needle aspiration"
] | F | 5 | health | ori_mmlu-professional_medicine | |
5,876 | 'Eyeballing' is a technique that involves: | [
"estimating measurements by sight without using tools",
"keeping your eyes on research participants at all times",
"reading a textual document quickly to understand the gist of it",
"observing a person or object closely to identify details",
"visually inspecting a construction site for safety hazards",
"l... | J | 9 | other | ori_mmlu-sociology | |
12,116 | Find a cosine series which represents f(x) in 0 \leq x \leq \pi if f(x) is defined as f(x) = 00 \leq x < (\pi / 2) f(x) = 1(\pi / 2) < x \leq \pi. | [
"f(x)= (1 / 2) - (2 / \\pi) \\sum_n=0^∞ (- 1)^n [{sin(n)} / (2n + 1)]",
"f(x)= (1 / 2) - (2 / \\pi) \\sum_n=1^∞ (- 1)^n [{cos(2n)} / (2n + 1)]",
"f(x)= (1 / 2) - (2 / \\pi) \\infty \\sum_n=0 (- 1)^n [{sin(2n + 1)} / (2n + 1)]",
"f(x)= (1 / 2) - (1 / \\pi) \\sum_n=0^∞ (- 1)^n [{cos(n)} / n]",
"f(x)= (1 / 2) ... | F | 5 | engineering | stemez-ElectronicCommunications | |
9,753 | A solid glass sphere of radius R and index of refraction 1.50 issilvered over one hemisphere. A small object is located on theaxis of the sphere at a distance 2R from theunsilvered surface. Find the position of the image formed by the refractingand reflecting surfaces. | [
"4R from the mirror surface",
"R from the spherical glass surface",
"2R from the mirror surface",
"2R from the spherical glass surface",
"4R from the spherical glass surface",
"R/2 from the spherical glass surface",
"5R from the spherical glass surface",
"R from the mirror surface",
"3R from the sph... | D | 3 | physics | stemez-Optics | |
12,192 | The resistance in the circuit of the moving coil of a dynamometer wattmeter should be | [
"Low.",
"Very low.",
"High.",
"Almost zero."
] | C | 2 | engineering | ori_mmlu-electrical_engineering | |
4,639 | A chemist decides to react 2 g of VO (vanadium oxide) with 5.75 g of Fe_2 O_3 to produce V_2 O_5 andFeO. How many grams of V_2 O_5 can be obtained? | [
"5.75 g",
"0.91 g",
"1.09 g",
"2.18 g",
"2.00 g",
"3.67 g",
"3.25 g",
"4.50 g",
"2.85 g",
"1.85 g"
] | D | 3 | chemistry | stemez-Chemistry | |
2,191 | Explain the terms fixation and regression as used by Freud in his descriptions of human development. | [
"Fixation refers to the persistent repetition of an old experience, whereas regression is the adaptation to new experiences.",
"Fixation and regression are terms used to describe cognitive skills in early childhood education.",
"Fixation refers to rapid development, whereas regression refers to slow development... | E | 4 | psychology | stemez-Psychology | |
4,504 | Hund's rule requires that | [
"all electrons must have opposite spins in an orbital",
"no two electrons can have the same four quantum numbers",
"no two electrons can occupy the same orbital",
"no two electrons with the same spin can occupy an orbital",
"all electrons must occupy the highest energy level first",
"no two electrons can ... | I | 8 | chemistry | ori_mmlu-high_school_chemistry | |
3,203 | A healthy man and woman are worried about having children because they are both carriers of sickle-cell disease. If the couple have a biological child, what is the chance that the child will inherit sickle-cell disease? | [
"80%",
"75%",
"50%",
"25%",
"33%",
"20%",
"90%",
"0%",
"66%",
"100%"
] | D | 3 | biology | ori_mmlu-high_school_biology | |
4,320 | Calculate the Q value of the following reaction (^106 _46)Pd + (^1 _0)n \rightarrow (^106 _45)Rh+ (^1 _1)H + Q (^106 _45)Rh\rightarrow (^106 _46)Pd + \beta-+ѵ+ 3.54MeV The product (^106 _45)Rhdecays with a half-life of 30 seconds and 3.54MeV\beta particles are emitted to the ground state of ^106Pd. | [
"0.7824MeV",
"-4.88MeV",
"5.60MeV",
"1.008665MeV",
"4.32MeV",
"-1.24MeV",
"2.14MeV",
"- 2.76MeV",
"-0.48MeV",
"- 3.54MeV"
] | H | 7 | chemistry | stemez-PhysicalChemistry | |
9,013 | At breakfast, lunch, and dinner, Joe randomly chooses with equal probabilities either an apple, an orange, or a banana to eat. On a given day, what is the probability that Joe will eat at least two different kinds of fruit? | [
"\\frac{2}{3}",
"\\frac{1}{3}",
"\\frac{6}{9}",
"\\frac{7}{9}",
"\\frac{5}{9}",
"\\frac{8}{9}",
"\\frac{10}{11}",
"\\frac{4}{9}",
"\\frac{3}{9}",
"\\frac{9}{11}"
] | F | 5 | math | ori_mmlu-high_school_mathematics | |
579 | Your company has just written one million units of a one-year European asset-or-nothing put option on an equity index fund. The equity index fund is currently trading at 1000. It pays dividends continuously at a rate proportional to its price; the dividend yield is 2%. It has a volatility of 20%. The option’s payoff will be made only if the equity index fund is down by more than 40% at the end of one year. The continuously compounded risk-free interest rate is 2.5% Using the Black-Scholes model, determine the price of the asset-or-nothing put options. Give the answer in millions. | [
"7.5",
"5.2",
"3.6",
"2.2",
"2.5",
"4.1",
"4.7",
"5.9",
"1.9",
"6.8"
] | C | 2 | business | theoremQA-Finance | |
9,608 | An iron steam pipe is 200 ft long at 0°C. What will its increase in length when heated to 100°C? (\alpha = 10 x 10^\rule{1em}{1pt}6 percelsiusdegree). | [
"0.25 ft",
"0.40 ft",
"0.35 ft",
"0.60 ft",
"0.20 ft",
"0.15 ft",
"0.30 ft",
"0.50 ft",
"0.10 ft",
"0.45 ft"
] | E | 4 | physics | stemez-Physics | |
8,406 | what is the value of $2/\pi*\prod_{k=1}^{\infty} \frac{(2*k)^2}{(2*k-1)(2*k+1)}$? | [
"1.414",
"0.707",
"0.5",
"3.14",
"4.0",
"1.0",
"1.57",
"2.0",
"6.28",
"2.718"
] | F | 5 | math | theoremQA-Math | |
1,135 | A pharmacist was employed by a drug store. A long-time customer of the drug store presented a prescription to the pharmacist for the medication Clinoril, which was prescribed by her physician to treat her arthritic condition. The pharmacist was in a rush that day because of a backlog of prescriptions to fill, and he misread the customer's prescription. He filled her prescription with Clinitest, a caustic substance not for internal use. He labeled the container with the instructions for Clinoril: "Take one tablet twice a day. "The customer followed the instructions, consumed the Clinitest, and suffered severe injuries to her stomach and esophagus. If the customer brings a strict liability in tort action against the pharmacist, what is his best defense? | [
"It was the cashier and not he who personally received the money for the medication.",
"He was not a seller of the product upon whom strict liability may be imposed.",
"He exercised reasonable care under the circumstances.",
"The drug store was not the manufacturer upon whom ultimate liability falls."
] | B | 1 | law | ori_mmlu-professional_law | |
10,684 | An Insect class is to be written, containing the following data fields: age, which will be initialized to 0 when an Insect is constructed. nextAvailableID, which will be initialized to 0 outside the constructor and incremented each time an Insect is constructed. idNum, which will be initialized to the current value of nextAvailableID when an Insect is constructed. position, which will be initialized to the location in a garden where the Insect is placed when it is constructed. direction, which will be initialized to the direction the Insect is facing when placed in the garden. Which variable in the Insect class should be static? | [
"position and direction",
"age and idNum",
"All of them",
"idNum",
"nextAvailableID and position",
"None of them",
"direction",
"position",
"age",
"nextAvailableID"
] | J | 9 | computer science | ori_mmlu-high_school_computer_science | |
7,622 | What is the rationale of subtracting expenditures for im-ports in measuring aggregate demand as compared to adding exports as a new component of aggregate demand? | [
"Exports represent spending on foreign goods",
"Imports represent spending on foreign goods inducing production abroad, while exports increase domestic production and create jobs.",
"Exports represent a transfer of domestic wealth to foreign entities",
"Expenditures for imports and exports are both added in m... | B | 1 | economics | stemez-Economics | |
11,843 | Find the energy stored in an inductor from t = 0 to t = 1 whose \textphi -icharacteristic is given by \textphi (t) = 1/3i^3 (t) and the current through it is given by i (t) = 2 sin t. | [
"1.00 J",
"0.75 J",
"1.50 J",
"4.00 J",
"2.50 J",
"3.00 J",
"1.25 J",
"2.75 J",
"2.00 J",
"3.50 J"
] | I | 8 | engineering | stemez-ElectricCircuits | |
2,136 | Research on the counseling of minority group member clients indicates thar they | [
"are more likely to seek group counseling than individual counseling",
"remain in counseling for approximately the same length of time as nonminority dents",
"terminate counseling significantly earlier than do non-minority clients",
"seek counseling services at the same rate as non-minority clients"
] | C | 2 | psychology | ori_mmlu-professional_psychology | |
1,187 | A buyer signed a contract to purchase a tract of land from a seller. The contract was signed on May 1, 2006, and the closing is set for June 15, 2006. The land was located in a jurisdiction that has in force the following statute:Statute of Limitations "an action to recover the possession of land shall be brought within twenty- one (21) years after the cause thereof accrued, but if a person who is entitled to bring such action at the time the cause accrued is within the age of minority (under 21) or of unsound mind, such action may be brought within ten (10) years after such disability is removed. "This statute was enacted in the jurisdiction in 1930. The land in question had been owned by a rancher in 1960. On September 1, 1960, the rancher died intestate, leaving his nephew as his only heir. The nephew had been born on October 1, 1954. In addition, there is a deed from the rancher's administrator to the seller dated November 1, 1960, which the latter recorded on the same date. During his title search, the buyer learned that the administrator had never obtained any license to sell the land in question; and also he (the administrator) never formally received the approval of any court with respect to the administration of the rancher's estate. Moreover, the buyer ascertained that the seller entered into possession of the land in question on November 1, 1960. On the assumption that there are no additional facts, the buyer should be advised that the seller became or will become the owner of the land in question | [
"on June 15, 2006.",
"when the nephew reached the age of 21.",
"when the administrator received court approval for the sale.",
"on May 1, 2006.",
"on September 1, 1960.",
"on October 1, 1985.",
"when the statute of limitations expired.",
"on November 12, 1981.",
"when the nephew dies.",
"on Novemb... | F | 5 | law | ori_mmlu-professional_law | |
608 | Find the interest charge on a $600 loan at 6% for 60 days. Find the total amount due. | [
"$612",
"$600",
"$620",
"$624",
"$606",
"$615",
"$610",
"$602",
"$630",
"$618"
] | E | 4 | business | stemez-Business | |
4,884 | This question refers to the following information.
"I observe the great and wonderful mistake, both our own and our fathers, as to the civil powers of this world, acting in spiritual matters. I have read…the last will and testament of the Lord Jesus over many times, and yet I cannot find by one tittle of that testament that if He had been pleased to have accepted of a temporal crown and government that ever He would have put forth the least finger of temporal or civil power in the matters of His spiritual affairs and Kingdom. Hence must it lamentably be against the testimony of Christ Jesus for the civil state to impose upon the souls of the people a religion, a worship, a ministry, oaths (in religious and civil affairs), tithes, times, days, marryings, and buryings in holy ground…"
Roger Williams, The Hireling Ministry None of Christ's, 1652
The "First Great Awakening" can be seen as a direct response to which of the following? | [
"Existentialism",
"The Civil War",
"The Reformation",
"The Industrial Revolution",
"The Age of Exploration",
"Transcendentalism",
"Puritanism",
"Romanticism",
"The French Revolution",
"The Enlightenment"
] | J | 9 | history | ori_mmlu-high_school_us_history | |
194 | There are three main types of buying situations in an organization, referred to by Robinson, Faris, and Wind (1967) as _____________. | [
"Buygroups.",
"Buyphases.",
"Purchase categories.",
"Buyorders.",
"Repeat purchases.",
"Buysets.",
"Spend classes.",
"Procurements.",
"Tenders.",
"Buyclasses."
] | J | 9 | business | ori_mmlu-marketing | |
6,389 | A deficiency of which vitamin has been associated with enamel defects and increased risk of dental caries?
| [
"Vitamin E",
"Vitamin C",
"Niacin",
"Riboflavin",
"Vitamin A",
"Biotin",
"Vitamin B12",
"Vitamin K",
"Folic acid",
"Vitamin D"
] | J | 9 | health | ori_mmlu-nutrition | |
6,136 | The net production of ATP via substrate-level phosphorylation in glycolysis is: | [
"2 from glucose and 4 from glycogen.",
"2 from glucose and 3 from glycogen.",
"4 from glucose and 3 from glycogen.",
"4 from glucose and 2 from glycogen.",
"3 from glucose and 5 from glycogen.",
"3 from glucose and 2 from glycogen.",
"3 from glucose and 4 from glycogen.",
"1 from glucose and 2 from gl... | B | 1 | health | ori_mmlu-college_medicine | |
4,793 | This question refers to the following information.
Let us not, I beseech you sir, deceive ourselves. Sir, we have done everything that could be done, to avert the storm which is now coming on. We have petitioned; we have remonstrated; we have supplicated; we have prostrated ourselves before the throne, and have implored its interposition to arrest the tyrannical hands of the ministry and Parliament. Our petitions have been slighted; our remonstrances have produced additional violence and insult; our supplications have been disregarded; and we have been spurned, with contempt, from the foot of the throne. In vain, after these things, may we indulge the fond hope of peace and reconciliation. There is no longer any room for hope.… It is in vain, sir, to extenuate the matter. Gentlemen may cry, Peace, Peace, but there is no peace. The war is actually begun! The next gale that sweeps from the north will bring to our ears the clash of resounding arms! Our brethren are already in the field! Why stand we here idle? What is it that gentlemen wish? What would they have? Is life so dear, or peace so sweet, as to be purchased at the price of chains and slavery? Forbid it, Almighty God! I know not what course others may take; but as for me, give me liberty or give me death!
—Patrick Henry, March 23, 1775
The "storm" that Henry refers to was most directly the result of which of the following? | [
"British unwillingness to fight Indian tribes on the frontier",
"British impressments of American sailors and interference with American trade",
"British efforts to impose religious conformity on the American colonies",
"American attempts to establish independent colonies",
"British refusal to grant indepen... | G | 6 | history | ori_mmlu-high_school_us_history | |
3,509 | Would you expect the transfer RNA molecules and the messenger RNA molecules to be the same in the cells of a horse as in similar human cells? Give reasons for your answer in each case. | [
"tRNA from cells of horse and man are basically the same, whereas the mRNA from the cells of these two animals would show much more difference.",
"tRNA molecules show slight variations between horse and human cells, while mRNA molecules are identical.",
"tRNA and mRNA in horse and human cells are completely ide... | A | 0 | biology | stemez-Biology | |
250 | Paul took a loan of $384.75 for 60 days at 6% interest. How much interest did he pay? | [
"$5.75",
"$3.85",
"$4.15",
"$5.00",
"$1.15",
"$2.75",
"$7.25",
"$2.50",
"$4.50",
"$6.00"
] | B | 1 | business | stemez-Business | |
1,683 | Connie Computer decided to purchase a $1,000 laptop computer to use during law school. When she went into Computer Retailer Inc., the salesperson also sold her a 5-year service agreement for $1,200 for a total price of $2,200. Nine months later, the laptop stopped working and Computer Retailer refused to perform on their service agreement. If Connie sues Computer Retailer, the trial court will likely find for | [
"Computer Retailer, under the UCC unless the predominate reason for entering into the contract was for the service portion of the contract.",
"Connie, under the UCC unless the predominate purpose of the agreement was for the service agreement portion of the contract.",
"Connie, under the common law unless the p... | G | 6 | law | ori_mmlu-professional_law | |
4,858 | This question refers to the following information.
"I travelled thence to 'Aden, the port of Yemen, on the coast of the ocean. It is surrounded by mountains and can be approached from one side only; it has no crops, trees, or water, but has reservoirs in which rainwater is collected. The Arabs often cut off the inhabitants from their supply of drinking-water until the they buy them off with money and pieces of cloth. It is an exceedingly hot place. It is the port of the Indians, and to it come large vessels from Kinbayat [Cambay], Kawlam [Quilon], Calicut and many other Malabar ports [on the south-west coast of India]. There are Indian merchants living there, as well as Egyptian merchants. Its inhabitants are all either merchants, porters, or fishermen. Some of the merchants are immensely rich, so rich that sometimes a single merchant is sole owner of a large ship with all it contains, and this is a subject of ostentation and rivalry amongst them. In spite of that they are pious, humble, upright, and generous in character, treat strangers well, give liberally to devotees, and pay in full the tithes due to God."
Ibn Battuta, ca. 1325–1354 C.E.
Which of the following led directly to the development of the economic system described in the journal? | [
"The influence of religious institutions",
"Competition with European trade networks",
"Invasion by neighboring territories",
"The discovery of new trade routes",
"Meteorological phenomena",
"The presence of highly developed port cities",
"Government policies promoting trade",
"The introduction of new... | E | 4 | history | ori_mmlu-high_school_world_history | |
1,344 | A homeowner buys a new leaf blower and is so impressed with its power that he gets carried away and blows large amounts of his work onto the next door neighbor's yard. In addition to leaves, he also blew large amounts of pest-infested plant debris onto the neighbor's property. The material has accumulated into large, unsightly piles and caused damage to the neighbor's healthy plants. He has to pay workers to haul the material away and he incurs expenses to replace infected perennials. The neighbor sues for the tort of trespass. The homeowner files a motion to dismiss because the neighbor cannot prove that homeowner acted with an intent to trespass or to do harm. Will the court grant the motion to dismiss? | [
"Yes, because the homeowner expected the wind to carry the debris away and did not think that it would accumulate on the neighbor's property.",
"No, because the homeowner's actions resulted in a direct invasion of the neighbor's property.",
"Yes, because the debris was not intentionally directed at the neighbor... | F | 5 | law | ori_mmlu-professional_law | |
4,926 | According to one theory, the power of Ancestral Pueblo elites emerged when certain groups: | [
"created intricate pottery and jewelry.",
"discovered the use of fire.",
"invented the wheel.",
"stored food surpluses in good years for distribution in bad years.",
"established trade routes with distant cultures.",
"constructed monuments and elaborate multi-storied cliff dwellings.",
"introduced advan... | D | 3 | history | ori_mmlu-prehistory | |
2,754 | A graduate student’s dissertation chair, Dr. X, turns out to be of little help, and the student ends up obtaining advice and assistance from an associate professor, Dr. Z. Dr. X does review the dissertation when it is completed and she is listed as the dissertation chair. Several months later, the student decides to write an article for a professional journal that is based his dissertation research. In terms of publication credit: | [
"Dr. Z should not be listed as an author since she is not the student's official dissertation chair.",
"Dr. Y and Dr. Z should be listed as co-authors.",
"Dr. X should be listed as second author since she was the student’s official dissertation chair.",
"The student should be the sole author as the research i... | H | 7 | psychology | ori_mmlu-professional_psychology | |
8,968 | 5.8-5. If the distribution of $Y$ is $b(n, 0.25)$, give a lower bound for $P(|Y / n-0.25|<0.05)$ when
(c) $n=1000$. | [
"$0.980$",
"$0.850$",
"$0.950$",
"$0.860$",
"$0.875$",
"$0.800$",
" $0.925$",
"$0.900$",
"$0.890$",
"$0.940$"
] | G | 6 | math | scibench-stat | |
5,220 | What are the experiences when a sexual addict has completed the sexual act? | [
"(s)he immediately starts planning the next sexual act",
"(s)he feels ashamed and regrets their behavior",
"(s)he feels indifferent and emotionally detached",
"(s)he uses the fantasy of the behaviour just completed to become aroused again",
"(s)he quickly forgets about the act and moves on to other activiti... | G | 6 | other | ori_mmlu-human_sexuality | |
9,785 | The extremes of temperature in New York, over a period of 50 years, differ by 116 Fahrenheit degrees. Express this 50 years, differ by 116 Fahrenheit degrees. Express this range range in Celsius degrees. in Celsius degrees. | [
"58.7 C°",
"60.0 C°",
"52.3 C°",
"48.9 C°",
"80.0 C°",
"76.4 C°",
"70.2 C°",
"64.5 C°",
"62.0 C°",
"55.6 C°"
] | H | 7 | physics | stemez-Physics | |
5,236 | Which of the following statements is correct about a trophic structure in which a leaf-eating grasshopper is eaten by a frog, which in turn is eaten by a snake? | [
"The snake is a herbivore.",
"The frog is a tertiary consumer.",
"The snakes outnumber the grasshoppers in the community.",
"The grasshoppers outnumber the snakes in the community.",
"The frog is a herbivore.",
"The grasshopper is a primary consumer.",
"The snake is a primary consumer.",
"The frog is ... | F | 5 | other | ori_mmlu-miscellaneous | |
6,971 | If the CPI goes to 150 from 120 then prices have | [
"fallen 50 percent.",
"fallen 25 percent.",
"risen 15 percent.",
"risen 20 percent.",
"fallen 20 percent.",
"fallen 30 percent.",
"risen 50 percent.",
"risen 30 percent.",
"remained constant.",
"risen 25 percent."
] | J | 9 | economics | ori_mmlu-high_school_macroeconomics | |
4,227 | A tomato weighing 60.0 g is analyzed for sulfur content by digestion in concentrated HNO_3 followed by precipitation with Ba to form BaSO_4. 0.466 g of BaSO_4 is obtained. If all of the sulfur is converted to BaSO_4, what is the percentage of sulfur in the tomato? | [
"0.065%",
"0.18%",
"0.11%",
"0.14%",
"0.25%",
"0.032%",
"0.075%",
"0.466%",
"0.5%",
"0.20%"
] | C | 2 | chemistry | stemez-Chemistry | |
9,494 | If a 1-kg object could be converted entirely into energy, how long could a 100-Wlight bulb be illuminated?A 100-W bulb uses 100 J of energy each second. | [
"3.0 × 10^7 years",
"1.2 × 10^7 years",
"9.0 × 10^6 years",
"2.0 × 10^8 years",
"5.5 × 10^7 years",
"7.5 × 10^6 years",
"4.2 × 10^7 years",
"2.9 × 10^7 years",
"1.5 × 10^7 years",
"6.3 × 10^7 years"
] | H | 7 | physics | stemez-Physics | |
11,247 | Which of the following explanations best fits the fallacy of ignorance of refutation? | [
"asserting an argumentative opponent has taken an easily defeated position, which the opponent has not really taken, defeating the position, and acting as if you've done significant damage to that person's overall argument.",
"causing confusion during refutation because of a real or feigned lack of the ability to... | B | 1 | philosophy | ori_mmlu-logical_fallacies | |
9,422 | A nonconducting sphere is given a nonzero net electric charge, +Q, and then brought close to a neutral conducting sphere of the same radius. Which of the following will be true? | [
"An electric field will be induced within the conducting sphere.",
"The spheres will experience an electrostatic attraction.",
"The nonconducting sphere will lose all its charge to the conducting sphere.",
"The spheres will not experience any electrostatic force.",
"The spheres will experience an electrosta... | B | 1 | physics | ori_mmlu-high_school_physics | |
12,084 | A two-pole dc generator has an armature containing a total of 40 conductors connected in two parallel paths. The flux per pole is 6.48 × 10^8 lines, and the speed of the prime mover is 30 rpm. The resistance of each conductor is 0.01 ohm, and the current-carrying capacity of each conductor is 10 A. Calculate: (a) The average generated voltage per path and the generated armature voltage (b) The armature current delivered to an external load (c) The armature resistance (d) The terminal voltage of the generator. | [
"Average generated voltage per path and the generated armature voltage: 110 V, Armature current delivered to an external load: 12 A, Armature resistance: 0.08 Ω, Terminal voltage of the generator: 110.4 V",
"Average generated voltage per path and the generated armature voltage: 130 V, Armature current delivered t... | D | 3 | engineering | stemez-ElectricalMachines | |
7,772 | A ball is thrown at an angle of $45^{\circ}$ to the ground. If the ball lands $90 \mathrm{~m}$ away, what was the initial speed of the ball?
| [
"50 $\\mathrm{m}/\\mathrm{s}$",
"45 $\\mathrm{m}/\\mathrm{s}$",
"25 $\\mathrm{m}/\\mathrm{s}$",
"20 $\\mathrm{m}/\\mathrm{s}$",
"35 $\\mathrm{m}/\\mathrm{s}$",
"55 $\\mathrm{m}/\\mathrm{s}$",
"40 $\\mathrm{m}/\\mathrm{s}$",
"15 $\\mathrm{m}/\\mathrm{s}$",
"28 $\\mathrm{m}/\\mathrm{s}$",
" 30 $\\ma... | J | 9 | math | scibench-calculus | |
10,262 | While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 12.0 cm. If the angular speed of the front sprocket is 0.6 rev/s, what is the radius (in cm) of the rear sprocket for which the tangential speed of a point on the rim of the rear wheel will be 5 m/s? The rear wheel has radius 0.330 m. | [
"3.50",
"2.00",
"4.25",
"2.99",
"3.25",
"4.50",
"5.00",
"2.50",
"3.99",
"1.75"
] | D | 3 | physics | theoremQA-Physics | |
8,809 | It takes Kate k days to write a GRE math practice test. It takes John j days to write a GRE math practice test. If Kate and John work on a practice test in alternating 2-day shifts, it takes them 10 days when Kate starts and 10.5 days when John starts. How long would it take the two to complete a practice test if Kate and John worked simultaneously? | [
"41/8 days",
"13/2 days",
"12/3 days",
"36/7 days",
"11/2 days",
"9/2 days",
"7 days",
"5 days",
"8 days",
"10 days"
] | D | 3 | math | ori_mmlu-college_mathematics | |
1,018 | A very drunk man was sitting in a bar drinking. A businessman customer came and sat beside him. They did not know each other. The businessman had slightly grazed against the drunk man's body. "Man, are you trying to kill me or something?'' said the very drunk man. The businessman did not think anything of it, since he had barely grazed the drunkard. The drunk continued to bully the businessman, calling him made-up names, and saying things that were nonsensical to the businessman and to others at the bar who were listening to the drunk's boisterous and irrational rants. The drunk then took a gun out of his pocket and shot the businessman, killing him. At trial, the defense argued that the man could not form the specific intent to premeditate for first degree murder. Which of the following crimes is the defendant most likely guilty of under these facts? | [
"Involuntary Manslaughter",
"Second Degree Murder",
"Voluntary Manslaughter",
"Aggravated Assault",
"Justifiable Homicide",
"First Degree Murder",
"Negligent Homicide",
"Self-Defense",
"Attempted Murder",
"Felony Murder"
] | B | 1 | law | ori_mmlu-professional_law | |
3,087 | Contrast the meanings of the terms "gene pool" and "genotype\textquotedblright. | [
"A gene pool is the genetic makeup present in the environment, while a genotype is the genetic makeup that an organism inherits from its parents.",
"A gene pool is the set of all genes within a single organism, while a genotype refers to the genetic variations among different populations.",
"A gene pool is the ... | I | 8 | biology | stemez-Biology |
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