benchmark
stringclasses
8 values
prompt
stringlengths
9
21.1k
category
stringclasses
25 values
sub_category
stringclasses
338 values
embedding
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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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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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0.09158641844987869, -0.05720273777842522, -0.030787581577897072, -0.036554113030433655, -4.207601378425352e-8, -0.012374057434499264, 0.0035686297342181206, -0.0032762191258370876, 0.03559776768088341, 0.002148109022527933, -0.015090101398527622, 0.013725223019719124, -0.002397236181423068, -0.0392877571284771, 0.057214006781578064, 0.008393703028559685, -0.032557375729084015, 0.03272714838385582, -0.06965634226799011, 0.0676063820719719, 0.039653848856687546, -0.05841574817895889, 0.03228193148970604, -0.051151830703020096, -0.05480049178004265, -0.04496690630912781, 0.0070223514921963215, -0.10110623389482498, 0.040759626775979996, 0.02667226269841194, -0.04813142865896225, 0.01134971808642149, -0.05772814527153969, 0.016878480091691017, 0.11169929802417755, 0.04321699216961861, 0.027841711416840553, -0.010764699429273605, 0.04651753231883049, 0.06572705507278442, -0.11784334480762482, 0.03792648762464523, 0.011470198631286621, 0.049596499651670456, 0.11277591437101364, -0.02548346482217312, -0.0812554880976677, 0.04772873967885971, 0.07124907523393631, -0.054889414459466934, 0.026282116770744324, 0.0020610655192285776, 0.002417050302028656, -0.036767471581697464, 0.024740858003497124, 0.04711536318063736, 0.09587707370519638, -0.09902776032686234, -0.052855972200632095, -0.04029721021652222, 0.07260952889919281, 0.0462428517639637, -0.06428766995668411, -0.03904923051595688, -0.044769007712602615, -0.03605623170733452, 0.05540822073817253, 0.10235097259283066, 0.01608448103070259 ]
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
[ 0.03222723677754402, 0.12538215517997742, -0.02827172353863716, -0.059775348752737045, -0.11661793291568756, 0.062228668481111526, 0.03269122168421745, 0.038601670414209366, -0.07067843526601791, 0.013220636174082756, -0.026102134957909584, 0.07896082103252411, 0.04828790947794914, -0.0030573024414479733, -0.010470302775502205, -0.01427940558642149, 0.05803590267896652, -0.0506720244884491, -0.02486385963857174, -0.040026143193244934, -0.032975733280181885, -0.08615576475858688, -0.07920487970113754, 0.010420444421470165, 0.07612594962120056, -0.0027731461450457573, 0.027533695101737976, -0.030717836692929268, 0.06290365755558014, -0.04958391562104225, -0.0468793548643589, 0.017421439290046692, 0.11475659161806107, 0.09263323992490768, -0.020784500986337662, -0.044562384486198425, 0.06265735626220703, -0.0028248783200979233, -0.022516479715704918, -0.05911853536963463, -0.08171019703149796, 0.0033003450371325016, 0.032920610159635544, -0.05619674175977707, -0.05737733840942383, 0.15411882102489471, 0.06256464868783951, 0.024334225803613663, -0.008359427563846111, 0.04250994324684143, -0.058566849678754807, 0.08397713303565979, -0.09842585772275925, 0.040091533213853836, 0.03382733836770058, 0.06643199920654297, -0.10597707331180573, -0.07699935883283615, -0.037057507783174515, -0.013734033331274986, -0.029050271958112717, 0.040408048778772354, 0.0027727249544113874, -0.03499653562903404, 0.004855695646256208, 0.005179527681320906, -0.08499042689800262, 0.034153491258621216, -0.0028896178118884563, 0.051168445497751236, 0.07734471559524536, 0.004020121414214373, 0.09282117336988449, -0.03681711107492447, -0.03802549093961716, 0.017394622787833214, -0.03798029571771622, -0.05000898241996765, -0.03630153462290764, -0.019914425909519196, 0.04015115275979042, -0.015395721420645714, -0.00906574260443449, 0.08424810320138931, 0.0874481350183487, -0.05950256437063217, -0.019184546545147896, -0.01260890532284975, 0.013902513310313225, 0.03731338307261467, 0.000018534208720666356, -0.017175491899251938, 0.06684855371713638, 0.03364330157637596, -0.04641915485262871, 0.005666033364832401, -0.04830258712172508, 0.029358670115470886, -0.043335407972335815, 0.07997990399599075, 0.03328970447182655, 0.0564231276512146, -0.043124500662088394, 0.058081645518541336, 0.028647005558013916, -0.01298158336430788, -0.00972728617489338, -0.0014004339464008808, 0.023480579257011414, -0.01422598585486412, 0.07626635581254959, -0.04045066237449646, 0.029099682345986366, -0.014012802392244339, 0.050827693194150925, -0.028875229880213737, 0.00006248311547096819, 0.0394861213862896, -0.07969808578491211, -0.018593445420265198, 0.026846308261156082, 0.051826003938913345, 0.03390432521700859, -0.0671360194683075, -0.01206105574965477, 0.049812186509370804, 0.027484843507409096, 2.265094411075029e-33, 0.0036112205125391483, -0.060094866901636124, 0.038104619830846786, -0.03451528027653694, -0.008929411880671978, 0.012875037267804146, -0.05024103447794914, -0.040776029229164124, -0.030067747458815575, -0.018598409369587898, -0.035901252180337906, -0.055593252182006836, 0.14454223215579987, 0.028335535898804665, 0.008149949833750725, -0.01723736897110939, 0.03539179265499115, -0.04852208495140076, 0.0068492884747684, -0.057674650102853775, -0.025477943941950798, -0.00835826899856329, -0.07355143874883652, -0.012302292510867119, 0.015984660014510155, -0.007961506955325603, -0.002006195019930601, 0.02547403797507286, 0.046054862439632416, -0.020464973524212837, -0.07441612333059311, 0.023479526862502098, 0.03550635650753975, 0.11842095106840134, 0.02872052602469921, -0.06621125340461731, -0.01826079562306404, 0.009649284183979034, 0.01880108378827572, -0.08132337778806686, 0.014911470003426075, -0.015679514035582542, -0.008472566492855549, -0.017052335664629936, -0.004246140830218792, 0.044233374297618866, 0.026833055540919304, 0.008598963730037212, 0.04223478585481644, 0.006245478056371212, -0.029624098911881447, -0.0325603149831295, -0.05152004957199097, 0.05629519000649452, -0.0110685545951128, 0.059776000678539276, 0.04486952722072601, 0.022911684587597847, -0.027080245316028595, 0.02684442326426506, 0.030041545629501343, -0.05739405006170273, 0.05986034870147705, -0.045090604573488235, 0.0022888295352458954, -0.027407096698880196, -0.048341695219278336, -0.03742019832134247, 0.04487902298569679, -0.01946212910115719, -0.044957827776670456, -0.019171616062521935, 0.05728950724005699, 0.06501002609729767, 0.022580191493034363, 0.04585092142224312, 0.05998353660106659, 0.030685052275657654, -0.004368034191429615, -0.029779208824038506, 0.047862861305475235, -0.02066144347190857, 0.04646971449255943, -0.003906430676579475, -0.0088517339900136, 0.04709288477897644, -0.03091057762503624, -0.05155504122376442, 0.04881603643298149, -0.009331515058875084, -0.10496543347835541, 0.010138883255422115, -0.0006132730632089078, 0.009077191352844238, 0.030452532693743706, -2.6937979355038864e-33, 0.012363248504698277, 0.01035885140299797, -0.01247766986489296, 0.013909301720559597, -0.007918321527540684, -0.07405853271484375, 0.06042911112308502, 0.010739914141595364, -0.01915351115167141, 0.06630188971757889, 0.042756494134664536, -0.031591515988111496, 0.07445745915174484, -0.039436399936676025, -0.0676678717136383, -0.04022553935647011, -0.012852702289819717, 0.03929021582007408, 0.13936491310596466, -0.08399045467376709, -0.07997792959213257, 0.01064791064709425, 0.06247084215283394, 0.02408062107861042, -0.005329995881766081, 0.009805427864193916, 0.08656045794487, 0.010169390588998795, -0.01696743443608284, 0.0022774559911340475, 0.05967530980706215, 0.054685309529304504, -0.029096748679876328, 0.00002350729664613027, -0.08041852712631226, 0.00006403973384294659, -0.05172228440642357, -0.08807025849819183, -0.0439763180911541, -0.09353416413068771, 0.08195003867149353, -0.014421047642827034, 0.08591607958078384, 0.051332373172044754, 0.015658186748623848, -0.013558967970311642, 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-0.04819898679852486, -0.04266408458352089, -0.05274197459220886, -0.02774842642247677, -2.9402617229834505e-8, -0.012654727324843407, -0.08873184025287628, -0.07526425272226334, -0.08481086045503616, -0.004432644695043564, 0.03279763460159302, 0.046053141355514526, 0.1134876012802124, 0.01277992594987154, 0.001458841608837247, 0.034564245492219925, -0.016011236235499382, -0.09497065097093582, 0.12444187700748444, -0.10796623677015305, 0.020808616653084755, 0.054039232432842255, -0.1078302264213562, -0.019478490576148033, -0.07203823328018188, 0.046092066913843155, -0.04236915335059166, 0.11434313654899597, 0.12582772970199585, 0.07615929841995239, 0.01694880798459053, 0.03220958262681961, -0.03045152872800827, 0.0032517476938664913, 0.0033930845092982054, -0.0614081472158432, 0.019913937896490097, 0.021377529948949814, -0.03316556662321091, 0.019566748291254044, 0.054214294999837875, -0.01615130715072155, 0.0607924684882164, 0.018067587167024612, -0.10390261560678482, -0.09244165569543839, -0.06215769797563553, -0.09180241823196411, -0.019833650439977646, -0.0153225501999259, -0.03594985231757164, 0.012308379635214806, -0.01935778558254242, -0.06245361268520355, 0.031007910147309303, -0.009206614457070827, 0.03346698358654976, 0.16642284393310547, -0.011615267023444176, -0.0009836646495386958, -0.06801100075244904, -0.11158380657434464, 0.009129862301051617, 0.05907876789569855, 0.04189998283982277, 0.026737529784440994, -0.07009294629096985, 0.015311851166188717, 0.0610322467982769 ]
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 out of the tank at a rate of 4 liters per minute. If the mixing is instantaneous, how many grams of salt are in the tank after 100 minutes have elapsed?
math
cot_lib-college_mathematics
[ 0.013583180494606495, 0.044536687433719635, 0.03288034349679947, -0.07190356403589249, -0.03143464773893356, 0.0015203506918624043, 0.10984636098146439, -0.00026298381271772087, -0.01448336523026228, -0.06353878229856491, 0.057369664311409, -0.03050645813345909, 0.09871529787778854, 0.04998568817973137, -0.026819005608558655, -0.008070513606071472, 0.014708440750837326, 0.015449254773557186, -0.1446269303560257, -0.002077025594189763, 0.01945267617702484, -0.03272649645805359, -0.06893732398748398, 0.006954036187380552, 0.04482492431998253, 0.016848791390657425, 0.06881985813379288, -0.013732741586863995, 0.08155521005392075, -0.025382984429597855, -0.06590332090854645, 0.07184673845767975, -0.02166162244975567, -0.062128473073244095, -0.06106327474117279, -0.031423673033714294, -0.0630858987569809, 0.018936598673462868, -0.000948838540352881, 0.0723646804690361, 0.0006221278454177082, -0.03300640732049942, 0.00877184048295021, 0.05566822364926338, 0.06183132529258728, 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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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MMLU-Pro
MMLU-Pro
What is the embryological origin of the hyoid bone?
health
cot_lib-anatomy
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MMLU-Pro
MMLU-Pro
What is the difference between a male and a female catheter?
health
cot_lib-clinical_knowledge
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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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MMLU-Pro
MMLU-Pro
Why are parvoviruses a highly impactful parasite?
health
cot_lib-virology
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MMLU-Pro
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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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
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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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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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
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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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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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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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
MMLU-Pro
Which of the following represents an accurate statement concerning arthropods?
biology
cot_lib-college_biology
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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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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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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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0.08136753737926483, -0.006901840679347515, 0.02305985428392887, -0.07246328890323639, -0.001654672552831471, 0.010062296874821186, -0.04220796748995781, 0.031301744282245636, -0.01923450455069542, 0.056063003838062286, -0.044189877808094025, 0.05124051496386528, -0.026027802377939224, -0.015737297013401985, 0.032520491629838943, -0.028532590717077255, -0.005820299964398146, -0.01414145901799202, 0.018482722342014313, -0.011992817744612694, -0.006886172108352184, 0.001099275192245841, 0.00041825915104709566, -0.07016634941101074, -0.04180033132433891, 0.05696183443069458, 0.02467397414147854, -0.02427089400589466, -0.03916286677122116, 0.042109373956918716, -0.11413741111755371, 0.019403859972953796, -0.05197576433420181, 0.009808109141886234, -0.04806207865476608, -0.0002077177632600069, 0.016359461471438408, 0.04105008766055107, 0.041796907782554626, -0.06769639253616333, -0.026517977938055992, -0.08950649201869965, 0.03793764486908913, 2.789814747719699e-34, 0.011995039880275726, -0.032080721110105515, -0.008953256532549858, -0.0028981701470911503, -0.06691963970661163, -0.04472515732049942, 0.08901219069957733, -0.11242611706256866, 0.05404588207602501, 0.01906244270503521, 0.031957823783159256, -0.035774510353803635, -0.05332131311297417, -0.03882025554776192, -0.0822780504822731, 0.0235604215413332, 0.029238436371088028, 0.0647437572479248, 0.00201033684425056, -0.01786736398935318, -0.03057411126792431, 0.12389478832483292, 0.030128616839647293, 0.03370227664709091, 0.08045362681150436, 0.022192170843482018, -0.07170899212360382, 0.12462198734283447, 0.07261355221271515, -0.020871594548225403, -0.09079691022634506, -0.025882136076688766, 0.024445228278636932, -0.02551386132836342, 0.0013405679492279887, 0.05630119889974594, 0.05070594325661659, 0.05962382256984711, -0.0006647209520451725, -0.046419426798820496, -0.020094309002161026, 0.09926090389490128, -0.005798067431896925, 0.09008222818374634, 0.05090344697237015, 0.015146077610552311, -0.024221111088991165, 0.07684895396232605, 0.11339977383613586, 0.030310476198792458, 0.00674591027200222, -0.037658512592315674, -0.050256457179784775, -0.0505342110991478, 0.02089901827275753, -0.001596916583366692, 0.004144272767007351, -0.015320471487939358, 0.041712384670972824, 0.04277355596423149, -0.005401464644819498, -0.08139190822839737, 0.07390821725130081, -0.078973688185215, 0.02403794229030609, 0.0049370876513421535, -0.01812553033232689, 0.151363343000412, -0.022179435938596725, -0.06925858557224274, 0.06408382207155228, 0.038535550236701965, 0.03636790066957474, -0.05601515620946884, 0.0110890232026577, -0.0086133424192667, -0.00383598986081779, -0.013905240222811699, -0.011845098808407784, -0.07202164083719254, -0.04125647246837616, -0.013472985476255417, -0.004223799332976341, 0.04458034783601761, 0.0208431463688612, -0.09253939241170883, 0.019863024353981018, -0.08545905351638794, 0.0025668595917522907, 0.006869813427329063, -0.0009575309231877327, 0.012695676647126675, 0.05176704376935959, 0.05081203952431679, 0.08562569320201874, -1.804480831424371e-8, 0.07751215994358063, -0.03699066862463951, 0.0012570236576721072, -0.08867704123258591, 0.03391331806778908, 0.04288531467318535, -0.018234310671687126, 0.006693502422422171, 0.06777376681566238, -0.10460304468870163, -0.03106505796313286, 0.028588172048330307, -0.012651144526898861, 0.04928477108478546, 0.06953582912683487, -0.002462895354256034, -0.05412623658776283, -0.05727500095963478, -0.04353076592087746, -0.05308801308274269, -0.008842702023684978, -0.028644157573580742, -0.14005212485790253, 0.10168355703353882, -0.04543888568878174, 0.04825431481003761, 0.0434441938996315, -0.048509977757930756, -0.005720421671867371, -0.02281729131937027, 0.0143786845728755, 0.023455601185560226, 0.006867333315312862, 0.04391085356473923, -0.04780222102999687, -0.0937676951289177, 0.017111580818891525, 0.06047508120536804, -0.010609139688313007, -0.05705007165670395, 0.0482415109872818, 0.02878398448228836, -0.04804049804806709, 0.03881348669528961, 0.03542276471853256, -0.06534632295370102, -0.06111636012792587, -0.014696291647851467, -0.03323490172624588, -0.047668226063251495, 0.016261836513876915, -0.0679657906293869, 0.09516418725252151, -0.14664974808692932, -0.04705716669559479, -0.0018924032337963581, 0.037822432816028595, -0.028402190655469894, -0.003487668000161648, 0.007999668829143047, 0.05694064870476723, 0.03318970277905464, 0.13747486472129822, -0.024333862587809563 ]
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
[ -0.046805042773485184, -0.04391385614871979, -0.08113445341587067, 0.026628658175468445, -0.025652656331658363, 0.04108183830976486, -0.03627968952059746, -0.014135496690869331, 0.08927468955516815, 0.0712227001786232, 0.09285540133714676, -0.03171349689364433, -0.01852305978536606, 0.06917370110750198, -0.05427905172109604, -0.01907947286963463, -0.08466231822967529, 0.02143588662147522, -0.10738924145698547, 0.013061970472335815, 0.015512770041823387, 0.0035120337270200253, 0.01772807165980339, 0.005362045951187611, 0.04722705855965614, 0.011253053322434425, -0.012386062182486057, -0.0022401935420930386, -0.0026164448354393244, -0.09857254475355148, -0.02272351086139679, 0.05295603722333908, 0.06822271645069122, 0.028787309303879738, -0.043475255370140076, 0.006091916002333164, -0.007733714766800404, -0.05043892562389374, 0.05315827205777168, -0.00036706068203784525, 0.021279288455843925, -0.06628315895795822, -0.04662218689918518, 0.012355780228972435, 0.007602596655488014, 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0.09363005310297012, -0.11486650258302689, 0.03238467499613762, 0.012773875147104263, -0.028459852561354637, 0.0017971997149288654, -0.07639935612678528, 0.07696507126092911, 0.008129805326461792, -0.002287244889885187, -0.06863545626401901, 0.07955018430948257, 0.04198886826634407, 0.09464115649461746, -0.1350812017917633, -0.12070859223604202, -0.050651080906391144, -0.012273138388991356, -0.0804261639714241, -0.040233075618743896, 0.06963066011667252, 0.02950393036007881, 0.008461317978799343, 0.02984101139008999, -0.05498500540852547, 0.06096925586462021, -0.07142708450555801, -0.009053903631865978, -0.028949221596121788, -0.06348902732133865, -0.04359959065914154, 0.05348776653409004, -0.05870368704199791, -0.02803102508187294, 0.006458818446844816, 0.004654767923057079, -0.03162296488881111, 0.024685777723789215, -0.01393311470746994, -0.07887734472751617, -0.03265008330345154, 0.02549387887120247, 0.03735709190368652, 1.91305497516787e-33, 0.03447465971112251, 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-0.018688121810555458, -0.009073689579963684, -0.015119806863367558, 0.03486448898911476, 0.046619072556495667, 0.028508616611361504, 0.058603934943675995, -0.012622426263988018, -0.016452496871352196, -0.11175414174795151, -0.06285125017166138, 0.05217813327908516, -0.019658982753753662, 0.0036319491919130087, -0.092842236161232, 0.0385148711502552, -0.0009387123864144087, -0.01150941476225853, 0.009766153991222382, -0.017346173524856567, 0.012533764354884624, 0.03958563134074211, 0.08838099986314774, 0.014462383463978767 ]
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
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
MMLU-Pro
Which of the following is considered an acid anhydride?
chemistry
cot_lib-high_school_chemistry
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MMLU-Pro
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
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 change in pH. How many moles of nitric acid, HNO3, may be added before the pH begins to change significantly?
chemistry
cot_lib-high_school_chemistry
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MMLU-Pro
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 cycles if it produces a result required by the immediately following operation in an operation sequence. Consider the expression AB + ABC + BC, where variables A, B, C are located in registers R0, R1, R2. If the contents of these three registers must not be modified, what is the minimum number of clock cycles required for an operation sequence that computes the value of AB + ABC + BC?
computer science
cot_lib-college_computer_science
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MMLU-Pro
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 accumulator and the result appears in the accumulator. The smallest possible number of instructions in the resulting code is
computer science
cot_lib-college_computer_science
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MMLU-Pro
MMLU-Pro
SHA-1 has a message digest of
computer science
cot_lib-computer_security
[ 0.049951788038015366, -0.024143200367689133, 0.010880392044782639, -0.020099516957998276, 0.021614238619804382, -0.05551471933722496, 0.10240929573774338, -0.09002906084060669, 0.07441858947277069, -0.0563034862279892, 0.020931657403707504, -0.01292463205754757, 0.06169678643345833, -0.0008532972424291074, 0.005388019140809774, -0.06706010550260544, 0.03980446234345436, -0.05109236389398575, -0.0074622491374611855, -0.012790887616574764, -0.011314699426293373, 0.05446481704711914, 0.06258305162191391, 0.03980319947004318, -0.011339196003973484, -0.06434089690446854, -0.010911324061453342, 0.061155300587415695, -0.0464179664850235, -0.08899760246276855, 0.07806966453790665, -0.009561997838318348, 0.01657366007566452, 0.06839141249656677, -0.05225355178117752, 0.09625116735696793, 0.08000487089157104, 0.014405444264411926, -0.05927059426903725, -0.006363085005432367, -0.014055555686354637, -0.023414988070726395, -0.03218298405408859, -0.04122524335980415, -0.05431564152240753, 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MMLU-Pro
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
[ -0.058769404888153076, 0.07715187221765518, -0.08480226993560791, -0.02657417580485344, 0.04941407963633537, -0.019631419330835342, -0.023640066385269165, 0.008759175427258015, 0.022997716441750526, -0.0007465578964911401, 0.05617852509021759, 0.09015251696109772, 0.03787284716963768, -0.09745118021965027, -0.014603189192712307, -0.03403359279036522, -0.0037591971922665834, -0.020874865353107452, -0.016888052225112915, 0.098229318857193, -0.029322531074285507, 0.0068050166592001915, -0.09130252152681351, 0.002048713620752096, -0.054947081953287125, 0.04984979331493378, 0.0010782488388940692, 0.034275785088539124, -0.021662229672074318, -0.020988911390304565, -0.05755471810698509, -0.0536937452852726, 0.029873954132199287, 0.046730030328035355, 0.02989478036761284, -0.042595863342285156, 0.04023699462413788, 0.02640276961028576, -0.06606731563806534, 0.00031135656172409654, 0.010499730706214905, 0.004344854969531298, -0.07037665694952011, 0.07833180576562881, -0.031358566135168076, 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MMLU-Pro
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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MMLU-Pro
MMLU-Pro
For a stationary autoregressive process, shocks will
economics
cot_lib-econometrics
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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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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 null would not be rejected if a 1% size of test were used (iv) The null would be rejected if a 5% size of test were used.
economics
cot_lib-econometrics
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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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MMLU-Pro
MMLU-Pro
The concentration ratio for a monopoly is
economics
cot_lib-high_school_microeconomics
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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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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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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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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
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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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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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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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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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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MMLU-Pro
MMLU-Pro
What is the sign of the covenant for Jewish males?
philosophy
cot_lib-world_religions
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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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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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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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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
[ -0.0014971926575526595, 0.0054734209552407265, -0.055165354162454605, 0.09472586959600449, -0.02726651169359684, 0.0669284388422966, 0.06459959596395493, 0.07540009915828705, -0.0341334268450737, 0.01908213086426258, -0.025639433413743973, 0.0005599522846750915, -0.04711868613958359, 0.03279649466276169, -0.02519403211772442, 0.05757082253694534, 0.014543439261615276, -0.027827681973576546, 0.06330181658267975, 0.08194040507078171, -0.0010115770855918527, -0.014305460266768932, 0.061011385172605515, -0.02023920975625515, -0.03534602001309395, 0.00028775553801096976, -0.010953634046018124, 0.00026223668828606606, 0.00425314623862505, 0.06547585129737854, -0.0569327250123024, -0.014694913290441036, 0.01754908263683319, 0.0933729037642479, 0.006314629688858986, 0.028381749987602234, -0.06106848642230034, 0.09044212847948074, 0.05162997916340828, 0.0021914064418524504, -0.03296780586242676, -0.060897693037986755, -0.007025912404060364, -0.007368943188339472, -0.07023829221725464, 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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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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 tradesmen-could not rise above the idea of national liberation, and seemed to believe that the world would be delivered-when they had killed their despot&… "Foolery! They'll never get out of it with their foolery." Then, lowering his voice still more, in a few bitter words he described his old dream of fraternity. He had renounced his rank and his fortune; he had gone among workmen, only in the hope of seeing at last the foundation of a new society of labour in common. All the sous in his pockets had long gone to the urchins of the settlement; he had been as tender as a brother with the colliers, smiling at their suspicion, winning them over by his quiet workmanlike ways and his dislike of chattering. But decidedly the fusion had not taken place. His voice changed, his eyes grew bright, he fixed them on étienne, directly addressing him: "Now, do you understand that? These hatworkers at Marseilles who have won the great lottery prize of a hundred thousand francs have gone off at once and invested it, declaring that they are going to live without doing anything! Yes, that is your idea, all of you French workmen; you want to unearth a treasure in order to devour it alone afterwards in some lazy, selfish corner. You may cry out as much as you like against the rich, you haven't got courage enough to give back to the poor the money that luck brings you. You will never be worthy of happiness as long as you own anything, and your hatred of the bourgeois proceeds solely from an angry desire to be bourgeois yourselves in their place." émile Zola, French writer, Germinal, 1885 The passage displays the direct concern for the welfare of the working classes that was typically a part of which movement?
history
cot_lib-high_school_european_history
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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 himself to his present opinion, because he precludes himself the right of changing it. The most formidable weapon against errors of every kind is Reason. I have never used any other, and I trust I never shall. The circumstance that has now taken place in France of the total abolition of the whole national order of priesthood, and of everything appertaining to compulsive systems of religion, and compulsive articles of faith, has not only precipitated my intention, but rendered a work of this kind exceedingly necessary, lest in the general wreck of superstition, of false systems of government, and false theology, we lose sight of morality, of humanity, and of the theology that is true. I believe in one God, and no more; and I hope for happiness beyond this life. I believe in the equality of man; and I believe that religious duties consist in doing justice, loving mercy, and endeavoring to make our fellow-creatures happy. I do not believe in the creed professed by the Jewish church, by the Roman church, by the Greek church, by the Turkish church, by the Protestant church, nor by any church that I know of. My own mind is my own church. All national institutions of churches, whether Jewish, Christian or Turkish, appear to me no other than human inventions, set up to terrify and enslave mankind, and monopolize power and profit. I do not mean by this declaration to condemn those who believe otherwise; they have the same right to their belief as I have to mine. —Thomas Paine, The Age of Reason, 1794–1795 Which of the following Enlightenment philosophes designed a system of checks and balances for government to avoid abuses of power?
history
cot_lib-high_school_european_history
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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 developed. Non-alignment, as practiced by Ghana and many other countries, is based on co-operation with all States whether they be capitalist, socialist or have a mixed economy. Such a policy, therefore, involves foreign investment from capitalist countries, but it must be invested in accordance with a national plan drawn up by the government of the non-aligned State with its own interests in mind. The issue is not what return the foreign investor receives on his investments…The question is one of power. A State in the grip of neo-colonialism is not master of its own destiny." Kwame Nkrumah, Neo-Colonialism, 1965 Which of the following provides the best context for Nkrumah's writings?
history
cot_lib-high_school_world_history
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MMLU-Pro
MMLU-Pro
What is the approximate mean cranial capacity of Homo erectus?
history
cot_lib-prehistory
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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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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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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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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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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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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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MMLU-Pro
MMLU-Pro
What is the judge ad hoc?
law
cot_lib-international_law
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MMLU-Pro
MMLU-Pro
Functions of the law include all but which of the following?
law
cot_lib-jurisprudence
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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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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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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, not yet aware of the new law, entered into contracts with many out-of-state firms to dispose of their nuclear wastes in the state. On account of this new law, however, the man will be unable to perform these contracts. Assume that the man has standing to challenge this state law. Which of the following presents his strongest constitutional grounds to challenge the state law prohibiting the disposal of nuclear wastes within the state?
law
cot_lib-professional_law
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MMLU-Pro
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
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
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
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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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
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
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
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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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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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
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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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
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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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
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
MMLU-Pro
How does lateral communication in an organisation occur?
business
ori_mmlu-management
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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 maturing in 10 monthes time with a strike price of $14 (Let the distance between nodes on your tree be 1 month in length).
business
theoremQA-Finance
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MMLU-Pro
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
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, each partner invested an additional $2,000. The net profit for the year was $8,736. Find each partner's share of the profit.
business
stemez-Business
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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
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
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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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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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
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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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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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, $5,600; Notes Payable, $5,250; Accounts Payable, $4,800.
business
stemez-Business
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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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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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MMLU-Pro