{"id": "mmlupro-0", "category": "mmlu_pro", "question": "Which of the following is expected to be the least soluble in water?\nA) Cu(OH)2\nB) Zn(NO3)2\nC) NiSO3\nD) MgCl2\nE) Mn(NO3)2\nF) FeSO4\nG) CrCl3\nH) NaBr\nI) KI", "answer": "C", "subject": "chemistry"}
{"id": "mmlupro-1", "category": "mmlu_pro", "question": "A number\u2019s prime factors are 2, 5, 7, 13, and 31. Which of the following must be a factor of the number?\nA) 10\nB) 25\nC) 6\nD) 8\nE) 15\nF) 30\nG) 20\nH) 4", "answer": "A", "subject": "math"}
{"id": "mmlupro-2", "category": "mmlu_pro", "question": "If matrix A has dimensions 2 \u00d7 7 and matrix B has dimensions 7 \u00d7 5, what are the dimensions of the product matrix AB?\nA) 2 \u00d7 2\nB) 5 \u00d7 2\nC) 7 \u00d7 2\nD) 7 \u00d7 7\nE) 5 \u00d7 7\nF) 2 \u00d7 5\nG) 2 \u00d7 7\nH) 5 \u00d7 5\nI) 7 \u00d7 10\nJ) 7 \u00d7 5", "answer": "F", "subject": "math"}
{"id": "mmlupro-3", "category": "mmlu_pro", "question": "A short-circuit test on a 15-kva, 2400/240-volt, 60- cycle transformer yields the following result: 6.25 amperes, 131 volts, and 214 watts. Determine the regulation of the transformer for a load of 0.8 lagging power factor by means of the approximate equivalent circuit.\nA) 4.8 per cent\nB) 6.0 per cent\nC) 3.8 per cent\nD) 4.26 per cent\nE) 7.3 per cent\nF) 3.5 per cent\nG) 5.6 per cent\nH) 5.1 per cent\nI) 2.9 per cent\nJ) 2.2 per cent", "answer": "D", "subject": "engineering"}
{"id": "mmlupro-4", "category": "mmlu_pro", "question": "A truck driver was assigned to drive a huge tractor- trailer loaded with logs. The logs were being sold by a lumber company, which had loaded the tractor- trailer. After four hours of steady driving, the truck driver stopped at a lounge and consumed five bottles of beer. He left the tavern in an intoxicated condition and then drove off to make his final delivery. As he came to the top of a steep incline in the highway and started his descent, an 11-year-old girl suddenly darted out into the road directly in front of him. The truck driver slammed on his powerful air brakes and swerved sharply to the left to avoid hitting her, but the girl was struck by the tractor- trailer and was seriously injured. The girl's parents, on behalf of their daughter, assert a claim against the lumber company to recover damages for the girl's injuries. At trial, which of the following is LEAST likely to be admissible?\nA) Evidence that the truck driver completed a state-approved alcohol education program, if the driver claims that he was not intoxicated.\nB) Evidence that the truck driver's reputation for driving is poor, if the lumber company and truck driver argue that the latter was not negligent.\nC) Evidence that the lumber company carried liability insurance on the tractor-trailer, if an investigator for the lumber company's insurance company testified for the lumber company that they deny ownership of the truck.\nD) Evidence that the girl had darted into the road in front of vehicles before, if the parents argue that she was frightened by the truck.\nE) Evidence that the truck driver had a previous conviction for a DUI five years ago.\nF) Evidence of the girl's school records, if her parents argue that she was a cautious child.\nG) Evidence that the lumber company carried liability insurance on the tractor-trailer, if the lumber company argues that the truck driver was an independent contractor.\nH) Evidence that the truck driver was on his phone at the time of the accident, if the lumber company argues that the driver was distracted.\nI) Evidence that the truck driver pleaded guilty to a criminal charge of DUI arising from this incident.\nJ) Evidence that the lumber company had previously been fined for overloading their trucks, if the lumber company argues that the truck was not overloaded.", "answer": "B", "subject": "law"}
{"id": "mmlupro-5", "category": "mmlu_pro", "question": "$$\n\\text { If we locate an electron to within } 20 \\mathrm{pm} \\text {, then what is the uncertainty in its speed? }\n$$\nA) 8.1$10^6 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nB) 9.4$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nC) 6.2$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nD) 1.1$10^8 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nE) 3.7$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$ \nF) 4.9$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nG) 1.8$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nH) 5.5$10^6 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nI) 2.2$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$\nJ) 2.5$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$", "answer": "E", "subject": "chemistry"}
{"id": "mmlupro-6", "category": "mmlu_pro", "question": "A large privately owned and operated shopping mall is open to the public and includes small shops, major department stores, and restaurants that are located around a pedestrian area. It also has several movie theaters, an ice-skating rink, a small amusement park, and a branch of the local public library. The mall is advertised as \"a small town with a big-town feel.\" During shopping hours, a group of 10 protesters gathered in the pedestrian area near the entrance to a department store to denounce the sale of animal fur products in that store. The protesters were peaceful and did not interfere with traffic into or out of the store, but they carried signs and vocally communicated their message to people walking in the area. Mall management quickly broke up the protest and required the protesters to leave the mall. The protesters have sued the mall, claiming that their right to freedom of speech guaranteed by the First and Fourteenth Amendments was violated. Should the protesters prevail?\nA) No, because the prohibition of protests adjacent to the entrance of a department store during shopping hours is a constitutionally proper limitation on the time, place, and manner of speech.\nB) No, because the mall has the right to control any activities that could negatively impact its business or patrons.\nC) Yes, because the protesters were peaceful and not interfering with the operation of the store.\nD) Yes, because the mall's advertisement as \"a small town with a big-town feel\" implies a public space where freedom of speech should be respected.\nE) Yes, because the mall is a public space and therefore must allow freedom of speech.\nF) Yes, because the mall is functionally equivalent to a town and, therefore, its actions are subject to the Constitution's guarantees of freedom of speech and assembly.\nG) No, because the mall is private property, and there was no state action to which the freedom of speech guarantees of the First and Fourteenth Amendments apply.\nH) Yes, because the mall's restriction on the protesters' speech was broader than necessary to ensure proper access to the department store.\nI) No, because the mall has the right to maintain a certain atmosphere for its customers, free from protests and demonstrations.\nJ) No, because the protesters were causing a disturbance and potentially damaging the mall's business.", "answer": "G", "subject": "law"}
{"id": "mmlupro-7", "category": "mmlu_pro", "question": "Chlorine gas reacts most readily with\nA) butane\nB) ethylene\nC) acetic acid\nD) toluene\nE) ethanol\nF) propane\nG) ethane\nH) ethanoic acid\nI) benzene", "answer": "B", "subject": "chemistry"}
{"id": "mmlupro-8", "category": "mmlu_pro", "question": "Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the maximum non-expansion work per mole that may be obtained from a fuel cell in which the chemical reaction is the combustion of methane at $298 \\mathrm{~K}$.\nA) 710.80$\\mathrm{kJ} \\mathrm{mol}^{-1}$\nB) 817.90$\\mathrm{kJ} \\mathrm{mol}^{-1}$\nC) 500.00 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nD) 765.45 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nE) 920.15$\\mathrm{kJ} \\mathrm{mol}^{-1}$\nF) 1030.50 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nG) 950.25 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nH) 880.70 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nI) 615.30 $\\mathrm{kJ} \\mathrm{mol}^{-1}$\nJ) 850.60$\\mathrm{kJ} \\mathrm{mol}^{-1}$", "answer": "B", "subject": "chemistry"}
{"id": "mmlupro-9", "category": "mmlu_pro", "question": "The temperature of spontaneous solidification for copper is 1,120\u00b0K and the melting point is 1,356\u00b0K. Calculate the Gibbs free-energy change at the spontaneous solidification temperatureusing the following data. Data Reaction:Cu_(_1) = Cu_(s) \\DeltaH^0 = - 3,100 cal (@ 1,356\u00b0K). \\DeltaC_p= - 2.09 + 1.5 \u00d7 10^-3T\nA) - 470 cal/mole\nB) - 500 cal/mole\nC) - 700 cal/mole\nD) - 440 cal/mole\nE) - 610 cal/mole\nF) - 380 cal/mole\nG) - 540 cal/mole\nH) - 560 cal/mole\nI) - 650 cal/mole\nJ) - 630 cal/mole", "answer": "G", "subject": "engineering"}
{"id": "mmlupro-10", "category": "mmlu_pro", "question": "Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and $6.0 \\mathrm{~cm}$. The charge per unit length is $5.0 \\times 10^{-6} \\mathrm{C} / \\mathrm{m}$ on the inner shell and $-7.0 \\times 10^{-6} \\mathrm{C} / \\mathrm{m}$ on the outer shell. What is the magnitude $E$ of the electric field at radial distance $r=4.0 \\mathrm{~cm}$?\nA) $3.0 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nB) $4.5 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nC) $0 \\mathrm{~N} / \\mathrm{C}$\nD) $1.2 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nE) $2.9 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nF) $2.3$$10^6 \\mathrm{~N} / \\mathrm{C} $ \nG) $3.6 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nH) $1.8 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nI) $2.0 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$\nJ) $5.2 \\times 10^6 \\mathrm{~N} / \\mathrm{C}$", "answer": "F", "subject": "physics"}
{"id": "mmlupro-11", "category": "mmlu_pro", "question": "Two years ago, a developer conveyed title to a lot to a woman by warranty deed. The woman purchased an owner's policy of title insurance before the an owner's policy of title insurance before the closing. Because of an error by the title insurance company, the title commitment and title policy failed to list a county tax lien encumbering the lot as an exception to coverage. Last year, the woman conveyed the lot for a bargain price by a quitclaim deed to a friend, who paid cash, did not conduct a title search, and did not purchase title insurance. Subsequently, the county began proceedings to foreclose the tax lien, and the friend filed a claim with the woman's title insurance company, demanding that the company reimburse her for the tax lien amount. Is the title insurance company obligated to pay the friend's claim?\nA) No, because the friend did not conduct a title search before purchasing the lot.\nB) No, because the friend did not purchase her own title insurance.\nC) No, because the title insurance policy expired when the woman conveyed the lot to the friend.\nD) Yes, because the tax lien was not listed as an exception on the title insurance policy.\nE) No, because the woman no longer owns the property, and thus her title insurance is no longer valid.\nF) Yes, because the woman used a quitclaim deed, which means all encumbrances should transfer to the new owner.\nG) No, because the friend is not a named insured on the title insurance policy.\nH) Yes, because the friend paid cash, making her eligible for claims.\nI) Yes, because the woman is liable to the friend for breach of the covenant against encumbrances, and the title policy should cover the friend's potential loss.\nJ) Yes, because the title insurance company made an error in not listing the tax lien.", "answer": "G", "subject": "law"}
{"id": "mmlupro-12", "category": "mmlu_pro", "question": "A professor, being fee simple owner of an apartment building, made a conveyance thereof in these words, \"I hereby convey my apartment building to my son and daughter as tenants in common. \" In the deed instrument, which was properly executed, the professor reserved a life estate to himself. The professor then told his children of his conveyance and put it in the family vault in the library for safekeeping. Thereafter, the son married a doctor. The professor, who disliked the doctor, then executed another deed that he labeled \"a correction deed. \" In the \"correction deed,\" the professor conveyed the apartment building \"to my son and daughter as joint tenants with right of survivorship. \" According to the new deed, the professor again reserved a life estate to himself. Both children accepted delivery of the \"correction deed. \" Six months later, the son died intestate, leaving the doctor as his sole heir. Title to the apartment building is in\nA) the son's estate, subject to the professor's life estate.\nB) the daughter and the doctor as tenants in common, subject to the professor's life estate.\nC) the daughter as the sole owner, subject to the professor's life estate.\nD) the daughter and the doctor as tenants in common.\nE) the professor as the sole owner.\nF) the daughter subject to the professor's life estate.\nG) the doctor as the sole owner, subject to the professor's life estate.\nH) the daughter and the professor as joint tenants with survivorship rights, subject to the professor's life estate.\nI) the doctor and the professor as joint tenants with survivorship rights, subject to the professor's life estate.", "answer": "B", "subject": "law"}
{"id": "mmlupro-13", "category": "mmlu_pro", "question": "The electric field in an $x y$ plane produced by a positively charged particle is $7.2(4.0 \\hat{\\mathrm{i}}+3.0 \\hat{\\mathrm{j}}) \\mathrm{N} / \\mathrm{C}$ at the point $(3.0,3.0) \\mathrm{cm}$ and $100 \\hat{\\mathrm{i}} \\mathrm{N} / \\mathrm{C}$ at the point $(2.0,0) \\mathrm{cm}$. What is the $x$ coordinate of the particle?\nA) $-2.0 \\mathrm{~cm}$\nB) $6.0 \\mathrm{~cm}$\nC) $1.0 \\mathrm{~cm}$\nD) $5.0 \\mathrm{~cm}$\nE) $0 \\mathrm{~cm}$\nF) $2.0 \\mathrm{~cm}$\nG) $4.0 \\mathrm{~cm}$\nH) $-1.0$$\\mathrm{~cm}$ \nI) $3.0 \\mathrm{~cm}$\nJ) $-3.0 \\mathrm{~cm}$", "answer": "H", "subject": "physics"}
{"id": "mmlupro-14", "category": "mmlu_pro", "question": "Suppose $E \\subset(0,2 \\pi) is a measurable set. \\left\\{\\xi_n\night\\}$ is an arbitrary sequence of real numbers. If the Lebesgue measure of E is 2, what is $\\lim _{n \nightarrow \\infty} \\int_E \\cos ^2 (n x+\\xi_n ) dx$? Return the numeric.\nA) $\\frac{\\sqrt{2}}{2}$\nB) 0.0\nC) $\\pi$\nD) 1.5\nE) 1.0\nF) 3.0\nG) 2.0\nH) 2.5\nI) 0.5\nJ) $\\frac{\\pi}{2}$", "answer": "E", "subject": "math"}