benchmark stringclasses 8
values | prompt stringlengths 9 21.1k | category stringclasses 25
values | sub_category stringclasses 338
values | embedding listlengths 384 384 ⌀ | Benchmark stringclasses 8
values |
|---|---|---|---|---|---|
MMLU-Pro | The symmetric group $S_n$ has $
\factorial{n}$ elements, hence it is not true that $S_{10}$ has 10 elements.
Find the characteristic of the ring 2Z. | math | cot_lib-abstract_algebra | [
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-0.098... | MMLU-Pro |
MMLU-Pro | Let V be the set of all real polynomials p(x). Let transformations T, S be defined on V by T:p(x) -> xp(x) and S:p(x) -> p'(x) = d/dx p(x), and interpret (ST)(p(x)) as S(T(p(x))). Which of the following is true? | math | cot_lib-college_mathematics | [
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0.004... | MMLU-Pro |
MMLU-Pro | Let A be the set of all ordered pairs of integers (m, n) such that 7m + 12n = 22. What is the greatest negative number in the set B = {m + n : (m, n) \in A}? | math | cot_lib-college_mathematics | [
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-0.0030... | MMLU-Pro |
MMLU-Pro | A tank initially contains a salt solution of 3 grams of salt dissolved in 100 liters of water. A salt solution containing 0.02 grams of salt per liter of water is sprayed into the tank at a rate of 4 liters per minute. The sprayed solution is continually mixed with the salt solution in the tank, and the mixture flows o... | math | cot_lib-college_mathematics | [
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0.0499... | MMLU-Pro |
MMLU-Pro | A total of 30 players will play basketball at a park. There will be exactly 5 players on each team. Which statement correctly explains how to find the number of teams needed? | math | cot_lib-elementary_mathematics | [
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... | MMLU-Pro |
MMLU-Pro | Which of the following is the body cavity that contains the pituitary gland? | health | cot_lib-anatomy | [
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0.03973... | MMLU-Pro |
MMLU-Pro | What is the embryological origin of the hyoid bone? | health | cot_lib-anatomy | [
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0.0204... | MMLU-Pro |
MMLU-Pro | What is the difference between a male and a female catheter? | health | cot_lib-clinical_knowledge | [
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0.1... | MMLU-Pro |
MMLU-Pro | How many attempts should you make to cannulate a patient before passing the job on to a senior colleague, according to the medical knowledge of 2020? | health | cot_lib-clinical_knowledge | [
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0.0546608... | MMLU-Pro |
MMLU-Pro | Why are parvoviruses a highly impactful parasite? | health | cot_lib-virology | [
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MMLU-Pro | Say the pupil of your eye has a diameter of 5 mm and you have a telescope with an aperture of 50 cm. How much more light can the telescope gather than your eye? | physics | cot_lib-astronomy | [
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0.017374... | MMLU-Pro |
MMLU-Pro | Where do most short-period comets come from and how do we know? | physics | cot_lib-astronomy | [
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MMLU-Pro | A refracting telescope consists of two converging lenses separated by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification of the telescope is | physics | cot_lib-college_physics | [
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... | MMLU-Pro |
MMLU-Pro | Colors in a soap bubble result from light | physics | cot_lib-conceptual_physics | [
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0.... | MMLU-Pro |
MMLU-Pro | A microwave oven is connected to an outlet, 120 V, and draws a current of 2 amps. At what rate is energy being used by the microwave oven? | physics | cot_lib-high_school_physics | [
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0.0608... | MMLU-Pro |
MMLU-Pro | In contrast to _______, _______ aim to reward favourable behaviour by companies. The success of such campaigns have been heightened through the use of ___________, which allow campaigns to facilitate the company in achieving _________ . | business | cot_lib-business_ethics | [
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MMLU-Pro | _______ is the direct attempt to formally or informally manage ethical issues or problems, through specific policies, practices and programmes. | business | cot_lib-business_ethics | [
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0.... | MMLU-Pro |
MMLU-Pro | How can organisational structures that are characterised by democratic and inclusive styles of management be described? | business | cot_lib-management | [
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-0.00... | MMLU-Pro |
MMLU-Pro | Although the content and quality can be as controlled as direct mail, response rates of this medium are lower because of the lack of a personal address mechanism. This media format is known as: | business | cot_lib-marketing | [
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0.030832238495349884,... | MMLU-Pro |
MMLU-Pro | In an organization, the group of people tasked with buying decisions is referred to as the _______________. | business | cot_lib-marketing | [
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MMLU-Pro | Which of the following represents an accurate statement concerning arthropods? | biology | cot_lib-college_biology | [
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0.0310405... | MMLU-Pro |
MMLU-Pro | In a given population, 1 out of every 400 people has a cancer caused by a completely recessive allele, b. Assuming the population is in Hardy-Weinberg equilibrium, which of the following is the expected proportion of individuals who carry the b allele but are not expected to develop the cancer? | biology | cot_lib-college_biology | [
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-0.0591... | MMLU-Pro |
MMLU-Pro | A mutation in a bacterial enzyme changed a previously polar amino acid into a nonpolar amino acid. This amino acid was located at a site distant from the enzyme’s active site. How might this mutation alter the enzyme’s substrate specificity? | biology | cot_lib-high_school_biology | [
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0.05669... | MMLU-Pro |
MMLU-Pro | Which of the following is not a way to form recombinant DNA? | biology | cot_lib-high_school_biology | [
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... | MMLU-Pro |
MMLU-Pro | Which of the following is not known to be involved in the control of cell division? | biology | cot_lib-high_school_biology | [
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0.0691... | MMLU-Pro |
MMLU-Pro | Predict the number of lines in the EPR spectrum of a solution of 13C-labelled methyl radical (13CH3•), assuming the lines do not overlap. | chemistry | cot_lib-college_chemistry | [
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MMLU-Pro | Which of the following lists the hydrides of group-14 elements in order of thermal stability, from lowest to highest? | chemistry | cot_lib-college_chemistry | [
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MMLU-Pro | Which of the following is considered an acid anhydride? | chemistry | cot_lib-high_school_chemistry | [
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MMLU-Pro | A new compound is synthesized and found to be a monoprotic acid with a molar mass of 248 g/mol. When 0.0050 mol of this acid are dissolved in 0.500 L of water, the pH is measured as 3.89. What is the pKa of this acid? | chemistry | cot_lib-high_school_chemistry | [
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MMLU-Pro | A solution contains 2.00 mole of acetic acid, CH3COOH, and 1.00 mole of calcium acetate, Ca(CH3COO)2. The solution is able to resist the addition of a small amount of strong acid or strong base with only minor changes in the pH of the solution. Larger quantities of strong acid or strong base can cause a significant cha... | chemistry | cot_lib-high_school_chemistry | [
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MMLU-Pro | A certain pipelined RISC machine has 8 general-purpose registers R0, R1, . . . , R7 and supports the following operations:
ADD Rs1, Rs2, Rd (Add Rs1 to Rs2 and put the sum in Rd)
MUL Rs1, Rs2, Rd (Multiply Rs1 by Rs2 and put the product in Rd)
An operation normally takes one cycle; however, an operation takes two cycle... | computer science | cot_lib-college_computer_science | [
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MMLU-Pro | A compiler generates code for the following assignment statement.
G := (A + B) * C - (D + E) * F
The target machine has a single accumulator and a single-address instruction set consisting of instructions load, store, add, subtract, and multiply. For the arithmetic operations, the left operand is taken from the accumul... | computer science | cot_lib-college_computer_science | [
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MMLU-Pro | SHA-1 has a message digest of | computer science | cot_lib-computer_security | [
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MMLU-Pro | _____________ can modify data on your system – so that your system doesn’t run correctly or you can no longer access specific data, or it may even ask for ransom in order to give your access. | computer science | cot_lib-computer_security | [
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MMLU-Pro | In the program below, the initial value of X is 5 and the initial value of Y is 10.
IF (X < 0){
DISPLAY ("Foxtrot")
} ELSE {
IF (X > Y){
DISPLAY ("Hotel")
} ELSE {
IF (Y > 0){
DISPLAY ("November")
} ELSE {
DISPLAY ("Yankee")
}
}
}
What is displayed as a result of running the program? | computer science | cot_lib-high_school_computer_science | [
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-0.003910403233021498,
-0.02... | MMLU-Pro |
MMLU-Pro | For a stationary autoregressive process, shocks will | economics | cot_lib-econometrics | [
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-0.0176... | MMLU-Pro |
MMLU-Pro | Consider the following AR(1) model with the disturbances having zero mean and unit variance
yt = 0.2 + 0.4 yt-1 + ut
The (unconditional) mean of y will be given by | economics | cot_lib-econometrics | [
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-0.0... | MMLU-Pro |
MMLU-Pro | Suppose that a test statistic has associated with it a p-value of 0.08. Which one of the following statements is true?
(i) If the size of the test were exactly 8%, we would be indifferent between rejecting and not rejecting the null hypothesis
(ii) The null would be rejected if a 10% size of test were used
(iii) The nu... | economics | cot_lib-econometrics | [
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0.0453198589... | MMLU-Pro |
MMLU-Pro | Which of the following policies best describes supply-side fiscal policy? | economics | cot_lib-high_school_macroeconomics | [
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0.0053939... | MMLU-Pro |
MMLU-Pro | The concentration ratio for a monopoly is | economics | cot_lib-high_school_microeconomics | [
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0.0... | MMLU-Pro |
MMLU-Pro | A point pole has a strength of 4π * 10^-4 weber. The force in newtons on a point pole of 4π * 1.5 * 10^-4 weber placed at a distance of 10 cm from it will be | engineering | cot_lib-electrical_engineering | [
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-0.03384045884013176,
0.0582660399... | MMLU-Pro |
MMLU-Pro | The coil of a moving coil meter has 100 turns, is 40 mm long and 30 mm wide. The control torque is 240*10-6 N-m on full scale. If magnetic flux density is 1Wb/m2 range of meter is | engineering | cot_lib-electrical_engineering | [
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-0.0188... | MMLU-Pro |
MMLU-Pro | In an SR latch built from NOR gates, which condition is not allowed | engineering | cot_lib-electrical_engineering | [
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0.0... | MMLU-Pro |
MMLU-Pro | Two long parallel conductors carry 100 A. If the conductors are separated by 20 mm, the force per meter of length of each conductor will be | engineering | cot_lib-electrical_engineering | [
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MMLU-Pro | In a 2 pole lap winding dc machine , the resistance of one conductor is 2Ω and total number of conductors is 100. Find the total resistance | engineering | cot_lib-electrical_engineering | [
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-0.02... | MMLU-Pro |
MMLU-Pro | Which of the given formulas of PL is the best symbolization of the following sentence?
Turtles live long lives and are happy creatures, unless they are injured. | philosophy | cot_lib-formal_logic | [
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0.0565146... | MMLU-Pro |
MMLU-Pro | Select the best translation into predicate logic.George borrows Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower; Bxyx: x borrows y from z). | philosophy | cot_lib-formal_logic | [
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0.0246599... | MMLU-Pro |
MMLU-Pro | The study of reality in the broadest sense, an inquiry into the elemental nature of the universe and the things in it, is known as _____. | philosophy | cot_lib-philosophy | [
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0.0048528... | MMLU-Pro |
MMLU-Pro | According to Moore’s “ideal utilitarianism,” the right action is the one that brings about the greatest amount of: | philosophy | cot_lib-philosophy | [
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0.07... | MMLU-Pro |
MMLU-Pro | What is the sign of the covenant for Jewish males? | philosophy | cot_lib-world_religions | [
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0.0382069... | MMLU-Pro |
MMLU-Pro | As of 2017, how many of the world’s 1-year-old children today have been vaccinated against some disease? * | other | cot_lib-global_facts | [
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0.093334... | MMLU-Pro |
MMLU-Pro | Which one of the following items is an example of nonmaterial culture? | other | cot_lib-high_school_geography | [
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0.02434084... | MMLU-Pro |
MMLU-Pro | Which of the following cases established the precedent that a defendant must be informed of the right to remain silent, the right to a lawyer, and protection from self-incrimination? | other | cot_lib-high_school_government_and_politics | [
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-0.0133... | MMLU-Pro |
MMLU-Pro | A woman who knows she has active herpes and untreated syphilis but continues to have sex without informing her partners of her condition has, in psychoanalytic terms: | other | cot_lib-human_sexuality | [
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0.032... | MMLU-Pro |
MMLU-Pro | What place is named in the title of the 1979 live album by rock legends Cheap Trick? | other | cot_lib-miscellaneous | [
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-0.01... | MMLU-Pro |
MMLU-Pro | This question refers to the following information.
In Russia there was nothing going on well, and [Souvarine] was in despair over the news he had received. His old companions were all turning to the politicians; the famous Nihilists who made Europe tremble-sons of village priests, of the lower middle class, of tradesme... | history | cot_lib-high_school_european_history | [
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-0.0... | MMLU-Pro |
MMLU-Pro | This question refers to the following information.
The following excerpt is from a pamphlet.
You will do me the justice to remember, that I have always strenuously supported the Right of every man to his own opinion, however different that opinion might be to mine. He who denies to another this right, makes a slave of ... | history | cot_lib-high_school_european_history | [
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-0.05957547... | MMLU-Pro |
MMLU-Pro | This question refers to the following information.
"The struggle against neo-colonialism is not aimed at excluding the capital of the developed world from operating in less developed countries. It is aimed at preventing the financial power of the developed countries being used in such a way as to impoverish the less de... | history | cot_lib-high_school_world_history | [
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-0.041250... | MMLU-Pro |
MMLU-Pro | What is the approximate mean cranial capacity of Homo erectus? | history | cot_lib-prehistory | [
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0.007... | MMLU-Pro |
MMLU-Pro | Recent research on hominid species dating from the Middle Pliocene indicates there was (as of 2020): | history | cot_lib-prehistory | [
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0.0... | MMLU-Pro |
MMLU-Pro | Pascale is interested in the processing strategies children use to learn new information. Pascale would best be classified as what type of psychologist? | psychology | cot_lib-high_school_psychology | [
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0.0386116... | MMLU-Pro |
MMLU-Pro | According to Caplan's model of consultee-centered case consultation, the consultant is primarily interested in | psychology | cot_lib-high_school_psychology | [
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0.... | MMLU-Pro |
MMLU-Pro | According to the Individuals with Disabilities Education Improvement Act, which of the following must an educational agency do before it changes the educational placement of a student with a disability? | psychology | cot_lib-high_school_psychology | [
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0.025466743... | MMLU-Pro |
MMLU-Pro | Ani believes that her attitudes and behavior play a central role in what happens to her. Such a belief is likely to be associated with | psychology | cot_lib-high_school_psychology | [
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-0... | MMLU-Pro |
MMLU-Pro | In terms of Hofstede’s (1980) five cultural dimensions, the United States scores at the top of the scale on: | psychology | cot_lib-professional_psychology | [
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0.0... | MMLU-Pro |
MMLU-Pro | What is the judge ad hoc? | law | cot_lib-international_law | [
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-0.0... | MMLU-Pro |
MMLU-Pro | Functions of the law include all but which of the following? | law | cot_lib-jurisprudence | [
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0.0049870... | MMLU-Pro |
MMLU-Pro | The ________ School of jurisprudence postulates that the law is based on what is "correct." | law | cot_lib-jurisprudence | [
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0.0555... | MMLU-Pro |
MMLU-Pro | Which word best summarizes Weber's explanation of the development of formally rational law? | law | cot_lib-jurisprudence | [
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0.091... | MMLU-Pro |
MMLU-Pro | A state has recently enacted a statute prohibiting the disposal of any nuclear wastes within the state. This law does not contravene or conflict with any federal statutes. A man operates a company in the state that is engaged in the disposal of nuclear wastes. Subsequent to the passage of the state statute, the man, no... | law | cot_lib-professional_law | [
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MMLU-Pro | Typical advertising regulatory bodies suggest, for example that adverts must not: encourage _________, cause unnecessary ________ or _____, and must not cause _______ offence. | business | ori_mmlu-business_ethics | [
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MMLU-Pro | Managers are entrusted to run the company in the best interest of ________. Specifically, they have a duty to act for the benefit of the company, as well as a duty of ________ and of _______. | business | ori_mmlu-business_ethics | [
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MMLU-Pro | There are two main issues associated with _____ sizing. _______ is a key issue as due to the information policy of the corporation it can be argued that employees have a right to know if they are being made redundant. _______ is a second issue, particularly the ________ package that employees receive when laid off. | business | ori_mmlu-business_ethics | [
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MMLU-Pro | _______ locate morality beyond the sphere of rationality in an emotional 'moral impulse' towards others. | business | ori_mmlu-business_ethics | [
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0.0216... | MMLU-Pro |
MMLU-Pro | Some of key differences between Islamic finance and conventional finance include - prohibition of charging and paying _______, prohibition on ______ and ______ transactions, prohibition of sinful investment and requirement for all financial products to be backed by __________. | business | ori_mmlu-business_ethics | [
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MMLU-Pro | Which of the following are the three broad groups of organizational characteristics segmentation criteria? | business | ori_mmlu-marketing | [
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MMLU-Pro | Pine and Gilmore (1999) derive four distinct realms of experience, based on two dimensions. What are these dimensions? | business | ori_mmlu-marketing | [
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MMLU-Pro | Which type of research methods are designed to elicit responses to predetermined, standardized questions from many respondents? | business | ori_mmlu-marketing | [
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0.031... | MMLU-Pro |
MMLU-Pro | Where the price is set low relative to the competition to gain market share, this strategy is known as: | business | ori_mmlu-marketing | [
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0.0043823... | MMLU-Pro |
MMLU-Pro | Once a train pulls out of a station, or an aeroplane takes off or a film starts, those seats are lost and can never be sold. This is referred to as: | business | ori_mmlu-marketing | [
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MMLU-Pro | A marketing research firm contracts with clients to conduct a complete marketing research project from data collection, analysis, and reporting. It is a__________ firm. | business | ori_mmlu-marketing | [
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0.0172134... | MMLU-Pro |
MMLU-Pro | The six dimensions usually considered to constitute the external marketing environment include all of the following except: | business | ori_mmlu-marketing | [
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MMLU-Pro | What is the term for the 'rule of thumb' type of bias in decision making? | business | ori_mmlu-management | [
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0.02874530... | MMLU-Pro |
MMLU-Pro | As what is ensuring that one individual does not carry the burden of a whole work task referred to? | business | ori_mmlu-management | [
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MMLU-Pro | What theory is built around the principle that 'people make choices regarding how to behave based on values and beliefs'? | business | ori_mmlu-management | [
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MMLU-Pro | How does lateral communication in an organisation occur? | business | ori_mmlu-management | [
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0.0274... | MMLU-Pro |
MMLU-Pro | The stock of the CCC Corporation is currently valued at $12 and is assumed to possess all the properties of geometric Brownian motion. It has an expected annual return of 15%, an annual volatility of 20%, and the annual risk-free is 10%. Using a binomial lattice, determine the price of a call option on CCC stock maturi... | business | theoremQA-Finance | [
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MMLU-Pro | George is seen to place an even-money $100,000 bet on the Bulls to win the NBA Finals. If George has a logarithmic utility-of-wealth function and if his current wealth is $1,000,000, what must he believe is the minimum probability that the Bulls will win? | business | theoremQA-Finance | [
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MMLU-Pro | Boy Alcott and Jon Buxton are partners in a steel company. They share the net income in proportion to their average investments. On January 1, Alcott invested $4,000 and Buxton invested $5,000. On May 1, Alcott invested an additional $2,000 and Buxton invested $1,750. On September 1, Alcott withdrew $500. On November 1... | business | stemez-Business | [
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0.... | MMLU-Pro |
MMLU-Pro | TheAlforsCompany had a beginning inventory of $30,000, Jan 1, 1974. During the year, purchases amounted to $87,500, net sales to $102,000. Assuming that the gross profit rate is 40% of the net sales, what is the ending inventory using the gross profit method of inventory evaluation? | business | stemez-Business | [
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MMLU-Pro | (a) Given the two discount series of 30-10-2(1/2) % and 25-15-2%, which is better? (b) Given the discount series 15-15% and the single rate of 30%, which is better? | business | stemez-Business | [
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MMLU-Pro | On July 7, Magee Data stock sold at a high of 23(1/8) and a low of 22(5/8). Giant Industrials sold for a high of 24(1/4) and a low of 23(1/2). Mr. Taylor purchased 300 shares of Magee Data at the high of the day and 400 shares of Giant Industrials at the low of the day. What was the cost of his purchase? | business | stemez-Business | [
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-0.03... | MMLU-Pro |
MMLU-Pro | During a riot, Mr. Winter's car was overturned causing $346.50 in damage.Mr. Winter had $50-deductible col-lision insurance, but no comprehensive coverage. How much will theinsurance company pay Mr. Winter? | business | stemez-Business | [
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-0.0400770... | MMLU-Pro |
MMLU-Pro | Janet Firestone purchased an option on a stock for $175 giving her the right to buy 100 shares at 14(1/2) within 90 days. One month later, she exercised her option and then sold the stock on the same day for 17. What was her profit on the stock? | business | stemez-Business | [
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MMLU-Pro | Margaret Denault recently rented a truck to drive 516 miles in days and 17 hours, using 54 gallons of gasoline. The rental company charged her $32 per day, $.22 per mile, and $.445 per gal-lon of gas. Extra hours were charged $2.75 per hour. Find the total cost of the rental. | business | stemez-Business | [
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0.00918... | MMLU-Pro |
MMLU-Pro | Where in the balance sheet does each of the following belong? (A) Taxes payable (B) Capital stock (C) Retailed earnings (D) Administrative expense (E) Prepaid expenses | business | stemez-Business | [
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-0.106... | MMLU-Pro |
MMLU-Pro | Prepare a balance sheet for Silvertown Office Supplies, C.H. Walters, owner, as of April 30 of the current year, based on the following information: Cash, $3,390; Notes Receivable, $2,905; Accounts Receivable, $8,215; Merchandise Inventory, $23,600; Store Supplies, $720; Store Fixtures, $2,895; Furniture and Equipment,... | business | stemez-Business | [
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-0.04... | MMLU-Pro |
MMLU-Pro | What is the net cost of a tape recorder whose list price is $32 and on which the discount rate is 30%? | business | stemez-Business | [
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0.003273106412962079,
0.046717... | MMLU-Pro |
MMLU-Pro | Mr. Frankel wants to borrow $2,000 from November 16 for 143 days. The interest rate is 6%. What would the difference in the interest charge amount to if the bank used exact interest instead of bankers' interest? | business | stemez-Business | [
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... | MMLU-Pro |
MMLU-Pro | HarryHyppeis paid a straight wage of $2.89 (1/2) per hour. If he works 9 hours a day in a six-day week, how much will he be paid? | business | stemez-Business | [
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-0.05699913948774338,
0.01163... | MMLU-Pro |
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