id string | dataset string | question string | options list | answer string | explanation string |
|---|---|---|---|---|---|
aquarat_34439 | aquarat | <ctx>
stock under different stock valuation methods can be confusing. another example is modelling labour variances with learning curve corrections and stock level changes. with the absence of a basic profit model in an algebraic form, confident development of such models is difficult. the development of spreadsheets h... | [
"A)4",
"B)5",
"C)6",
"D)7"
] | B | Explanation:
Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5
Option B |
qasc_4634 | qasc | <ctx>
in meteorology, a cloud is an aerosol consisting of a visible mass of miniature liquid droplets, frozen crystals, or other particles suspended in the atmosphere of a planetary body or similar space. water or various other chemicals may compose the droplets and crystals. on earth, clouds are formed as a result of ... | [
"Movement of an air mass",
"Something that evaporated",
"Something that melted",
"cloudy and rainy weather"
] | B | |
openbookqa_252 | openbookqa | <ctx>
, a more damaging greenhouse gas than carbon dioxide. local, community - grown food also requires no imported, long - distance transport which further depletes our fossil fuel reserves. in developing more efficiency per land acre, urban gardens can be started in a wide variety of areas : in vacant lots, public pa... | [
"Bahamas",
"Nebraska",
"Florida",
"Mexico"
] | B | |
medmcqa_769 | medmcqa | <ctx>
, e. p., and martinis, s. a. ( 2009 ) leucyl - trna synthetase - dependent and independent activation of the bi4 group i intron. j. biol. chem., 284, 26243 - 50. pang, y. l. j. and martinis, s. a. ( 2009 ) a paradigm shift for the amino acid editing mechanism of human cytoplasmic leucyl - trna synthetase. biochem... | [
"DHU arm",
"Pseudouridine arm",
"Acceptor arm",
"Anticodon arm"
] | B | Pseudoridine arm of tRNA is involved in binding of aminoacyl tRNA to ribosomal surface. |
aquarat_18878 | aquarat | <ctx>
, this comes out to 1096259850353149530222034277. factors of factorials let n be a positive integer and p a positive prime number. the exponent of the highest power of p that divides n! is given by a version of legendre's formula where is the way of writing n in base p. this is a finite sum, since the floors are ... | [
"A)2",
"B)3",
"C)5",
"D)7"
] | A | The number will be an even number as it contains 6 as a term in its product, so units digit will be even..
EVEN +2 will be another EVEN and will be div by 2..
ANSWER:A |
medmcqa_2533 | medmcqa | <ctx>
, hearing, vision, gait, feeding and digestion are also useful to determine the extent of the disorder. early diagnosis and intervention are seen as being a key part of managing cerebral palsy. machine learning algorithms facilitate automatic early diagnosis, with methods such as deep neural network and geometric... | [
"Craniopharyngioma",
"Pituitary apoplexy",
"Nasopharyngeal fibroma",
"Hypothalamic glioma"
] | A | (A) Craniopharyngioma[?]Craniopharyngioma:Craniopharyngioma are pituitary gland tumor develop from the embryogenic remnants in pituitary gland.Present at any time during childhood, tumor is congenital &d arises from squamous epithelial cell rests of the embryonic Rathke's pouch.The neoplasm is usually cystic & benign.C... |
aquarat_22770 | aquarat | <ctx>
the answer should also have three significant figures. the answer 30. 0 km / hr does indeed have three significant figures, so this is appropriate. note that the significant figures in the conversion factor are not relevant because an hour is defined to be 60 minutes, so the precision of the conversion factor is ... | [
"A)21.21",
"B)22.26",
"C)90.9",
"D)24.86"
] | C | distance covered in 1 min=(24*1000)/60=400m
circumference of the wheel=(2*(22/7)*.70)=4.4m
no of revolution per min=400/4.4=90.90
ANSWER:C |
aquarat_23955 | aquarat | <ctx>
, draper told fox business that he predicted that one bitcoin would reach $ 10, 000 " in three years " ; on january 27, 2015, draper wagered about $ 400, 000 ( which is 2000 bitcoins with $ 200 price ) that the bitcoin will rebound from a recent plunge. the price of a bitcoin crossed $ 10, 000 ( ~ $ in ) on novem... | [
"A)93%",
"B)97%",
"C)100%",
"D)107%"
] | A | Say Arthur's fortune was $100. Then:
A = 20*1.5*1.1 = 33
B = 20*1.5*1.1 = 33
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0
Total 33 + 33 + 12 + 15 = 93.
Answer: A. |
qasc_2087 | qasc | <ctx>
fugitive gas emissions are emissions of gas ( typically natural gas, which contains methane ) to atmosphere or groundwater which result from oil and gas or coal mining activity. in 2016, these emissions, when converted to their equivalent impact of carbon dioxide, accounted for 5. 8 % of all global greenhouse gas... | [
"harmful",
"deadly",
"h2o",
"helpful"
] | A | |
openbookqa_1535 | openbookqa | <ctx>
would it be easier if monochromatic light were used?
. by using a digital clock an accuracy of 0. 2 second is possible. this represents only 200 meters at the moon's distance of 385, 000 km. small objects and maps observing a nearby small object without a magnifying glass or a microscope, the size of the object ... | [
"a scope",
"a car",
"a blind",
"a mirror"
] | A | |
qasc_7978 | qasc | <ctx>
17. 6 hearing learning objectives by the end of this section, you will be able to : • define hearing, pitch, loudness, timbre, note, tone, phon, ultrasound, and infrasound. • compare loudness to frequency and intensity of a sound. • identify structures of the inner ear and explain how they relate to sound percept... | [
"plants",
"radio waves",
"bears",
"humans"
] | D | |
aquarat_31091 | aquarat | <ctx>
area is the measure of a region's size on a surface. the area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three - dimensional object. area can be understood as the amount of material with a given thic... | [
"A)2510",
"B)2535",
"C)3060",
"D)2515"
] | C | length = breadth +23. Therefore,
4× breadth +2×23=226 m
⇒ breadth =45 m
length =45+23=68 m
Area =68×45=3060 m2
Answer is C. |
aquarat_1842 | aquarat | <ctx>
11. 2 • density 443 discussion a large reservoir contains a very large mass of water. in this example, the weight of the water in the reservoir is, where is the acceleration due to the earth ’ s gravity ( about ). it is reasonable to ask whether the dam must supply a force equal to this tremendous weight. the ans... | [
"A)45%",
"B)48%",
"C)54%",
"D)58%"
] | C | When the storm deposited 115 billion gallons, volume of water in the reservoir = 245 + 115 = 360 billion gallons
If this is only 80% of the capacity of the reservoir, the total capacity of the reservoir = 360/0.8 = 450 billion gallons
Therefore percentage of reservoir that was full before the storm = (245/450)*100 = 54... |
qasc_4279 | qasc | <ctx>
. conceptual questions 11. 1 what is a fluid? 1. what physical characteristic distinguishes a fluid from a solid? 2. which of the following substances are fluids at room temperature : air, mercury, water, glass? 3. why are gases easier to compress than liquids and solids? 4. how do gases differ from liquids? 11. ... | [
"Alcohol",
"ozone",
"water",
"vapors"
] | C | |
aquarat_7505 | aquarat | <ctx>
29 the next number in the list after 2 is 3 ; cross out every 3rd number in the list after 3 by counting up from 3 in increments of 3 ( these will be all the multiples of 3 in the list ) : 2 3 5 7 11 13 17 19 23 25 29 the next number not yet crossed out in the list after 3 is 5 ; cross out every 5th number in the... | [
"A)53",
"B)47",
"C)48",
"D)59"
] | A | Explanation :
All are prime numbers in their order, starting from 23
Hence, next number is 53
Answer : A |
medmcqa_7197 | medmcqa | <ctx>
implicated in the development of diabetic foot ulcers are infection, older age, diabetic neuropathy, peripheral vascular disease, cigarette smoking, poor glycemic control, previous foot ulcerations or amputations, and ischemia of small and large blood vessels. prior history of foot disease, foot deformities that ... | [
"Conn syndrome",
"Hypothyroid",
"CHF",
"Nephrotic syndrome"
] | A | Ans. A. Conn syndromea. In Conn syndrome there is profound hypokalemia that leads to nephrogenic diabetes insipidus.b. Although excess of sodium is reabsorbed due to high amount aldosterone, but excess of water is lost. Hence edema feet is not a feature in Conn syndrome. |
qasc_7480 | qasc | <ctx>
and consequences for recruitment. trends in ecology & evolution 15 : 278 - 285. nathan, r., g. g. katul, h. s. horn, s. m. thomas, r. oren, r. avissar, s. w. pacala, and s. a. levin. ( 2002 ). mechanisms of long - distance dispersal of seeds by wind. nature 418 : 409 - 413. nathan, r. ( 2006 ). long - distance di... | [
"relocation",
"prey animals",
"predatory animals",
"migratory birds"
] | C | |
medmcqa_8277 | medmcqa | <ctx>
campylobacter bacterium. anne hardy argues that widespread public education of food hygiene can be useful, particularly through media ( tv cookery programmes ) and advertisement. she points to the examples set by scandinavian societies. united states in 2001, the center for science in the public interest petition... | [
"Clostridium welchii",
"Clostridium tetani",
"Clostridium botulinum",
"Clostridium difficile"
] | A | Ans: A i.e. Clostridium welchii Conditions and pathogens Established pathogens (clostridium) for gas gangrene (group) includes Cl. Perfringens/ welchii, Cl. septicum & Cl. Novyi Established pathogen (clostridium) for tetnaus include Cl. Tetani Established pathogens (clostridium) for food poisoning (group) includes Cl. ... |
medmcqa_8170 | medmcqa | <ctx>
the alvin j. siteman cancer center at barnes - jewish hospital and washington university school of medicine is a cancer treatment, research and education institution with six locations in the st. louis area. siteman is the only cancer center in missouri and within 240 miles of st. louis to be designated a compreh... | [
"Liver",
"Kidney",
"Lung",
"Bone"
] | D | Bone metastasis is a characteristic feature of prostatic cancer. The lesions are typically osteoblastic on x-ray, and the serum acid phosphatase level becomes elevated |
arc_challenge_163 | arc_challenge | <ctx>
##0 ( 81 ) 90048 - x weiner, j. & solbrig, o. t. ( 1984 ) the meaning and measurement of size hierarchies in plant populations. oecologia ( berlin ) 61, 334 - 336, doi 10. 1007 / bf00379630. weiner, j. ( 1984 ) neighborhood interference amongst pinus rigida individuals. journal of ecology 72, 183 - 195, doi 10. 2... | [
"all tall plants",
"all short plants",
"half tall plants, half short plants",
"1/4 tall plants, 1/3 short plants"
] | B | |
openbookqa_1109 | openbookqa | <ctx>
##is of the rat - tailed maggot ( larva of eristalis tenax ). zumpt proposed a hypothesis called " rectal myiasis ". during open defecation in the wilderness, flies attracted to feces may deposit their eggs or larvae near or into the anus, and the larvae then penetrate further into the rectum. the larva can survi... | [
"contains uranium",
"is genetically modified",
"contains bees",
"contains botulism"
] | D | |
qasc_5606 | qasc | <ctx>
length and centromere position. a karyotype can also be useful in clinical genetics, due to its ability to diagnose genetic disorders. on a normal karyotype, aneuploidy can be detected by clearly being able to observe any missing or extra chromosomes. giemsa banding, g - banding, of the karyotype can be used to d... | [
"influenza",
"smallpox",
"sweating",
"sleepwalking"
] | D | |
qasc_2469 | qasc | <ctx>
32. 6 fission • nuclear fission is a reaction in which a nucleus is split. • fission releases energy when heavy nuclei are split into medium - mass nuclei. • self - sustained fission is possible, because neutron - induced fission also produces neutrons that can induce other fissions,, where and are the two daught... | [
"mitosis",
"digestion",
"fusion",
"heat"
] | A | |
aquarat_44963 | aquarat | <ctx>
of event 2 is, as person 2 may have any birthday other than the birthday of person 1. similarly, the probability of event 3 given that event 2 occurred is, as person 3 may have any of the birthdays not already taken by persons 1 and 2. this continues until finally the probability of event 23 given that all preced... | [
"A) y/R",
"B) y/(R-x)",
"C) xy/(R-x)",
"D) ey/(R(R-e))"
] | D | y/(R-e)- y/R
if we simplify this we get choice D, which is the correct answer. |
qasc_1217 | qasc | <ctx>
forest ecology is the scientific study of the interrelated patterns, processes, flora, fauna and ecosystems in forests. the management of forests is known as forestry, silviculture, and forest management. a forest ecosystem is a natural woodland unit consisting of all plants, animals, and micro - organisms ( biot... | [
"flooding",
"humans disturb it",
"Sulfur dioxide",
"deforestation"
] | C | |
arc_easy_511 | arc_easy | <ctx>
the earth's crust would cause any generated currents to be absorbed before reaching the surface. disturbance of the daily cycle of the ionosphere the ionosphere usually develops its lower d layer during the day, while at night this layer disappears as the plasma there turns to gas. during the night, the f layer o... | [
"the Sun rotating on its axis",
"Earth rotating on its axis",
"Earth revolving around the Sun",
"the Moon revolving around Earth"
] | B | |
aquarat_26054 | aquarat | <ctx>
a time, to see the result. here are a few expressions to try : • x = 5 • 3 * x - 5 • 3 * ( x - 5 ) • x • type ( 1 ) • type ('1')
this equation and entering the known values gives 10. 28 10. 29 10. 30 10. 31 10. 32 10. 33
. 98 10. 99 10. 100
each answer with the correct number of significant figures. ( a ) 62. ... | [
"A)1/20",
"B)3/20",
"C)5/20",
"D)7/20"
] | A | (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)
5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20
Answer is A. |
mmlu_aux_8430 | mmlu_auxiliary | <ctx>
##losic biomass ). biomass has the capacity to produce electricity, heat, or liquid fuels. biomass can be used as a direct energy source as heating or cooking fuel, or can be burned to generate electricity. it can also be used indirectly by using its biological processes and producing ethanol, methanol, and fuel ... | [
"shoes",
"poetry",
"external food eaters",
"rubber"
] | C | null |
aquarat_44941 | aquarat | <ctx>
as part of their coursework is less than 45 %. to test the claim, the professor selects a sample of 200 students and surveys the students to determine if they use ai tools as part of their coursework. the results from the survey indicate that 74 out of 200 students use ai tools. use this sample data to test the c... | [
"A)39, 30",
"B)41, 32",
"C)42, 33",
"D)43, 34"
] | C | Let their marks be (x + 9) and x.
Then, x + 9 = 56 /100(x + 9 + x)
=25(x + 9) = 14(2x + 9)
= 3x = 99
=x = 33
So, their marks are 42 and 33.
ANSWER IS C |
arc_challenge_1092 | arc_challenge | <ctx>
1. 5 • measurement uncertainty, accuracy, and precision 39 ( a ) use these values to determine the density of this material. ( b ) do you have any reasonable guesses as to the identity of this material? explain your reasoning. answer : ( a ) 19 g / cm3 ; ( b ) it is likely gold ; the right appearance for gold and... | [
"copy what the other students are doing.",
"ask the teacher to first demonstrate the entire experiment.",
"perform the experiment after memorizing the instructions.",
"read and understand all directions before starting the experiment."
] | D | |
medmcqa_6184 | medmcqa | <ctx>
matrix from two sources : pyruvate decarboxylation in glycolysis and break down of fatty acids through β - oxidation, which are both essential pathways of energy production in human. pyruvate decarboxylation is the step that connects glycolysis and the krebs cycle regulated by the pyruvate dehydrogenase complex w... | [
"Beta oxidation",
"Urea cycle",
"Fatty acid synthesis",
"Heme synthesis"
] | C | Fatty acid synthesis takes place in cytoplasm.
Beta Oxidation occurs in mitochondria.
Heme synthesis and Urea cycle occur both in cytoplasm and mitochondria. |
qasc_3124 | qasc | <ctx>
themselves and their own people, animals, and goods at their own discretion. vehicles used are typically smaller, though publicly owned infrastructure is often used for travel. function relocation of travelers and cargo are the most common uses of transport. however, other uses exist, such as the strategic and ta... | [
"humans",
"jets",
"rocks",
"birds"
] | D | |
medmcqa_3077 | medmcqa | <ctx>
events ( aes ) related to the treatment, and among them, 86 patients ( 51. 5 % ) encountered grade 3 or 4 treatment - related aes. the most prevalent nonhematologic grade 3 or 4 treatment - related aes included febrile neutropenia ( 9. 0 % ), elevated levels of alanine aminotransferase ( 7. 8 % ), and nausea ( 5.... | [
"Outer hair cells in basal area",
"Inner hair cells in basal area",
"Outer hair cells in apical area",
"Inner hair cells in apical area"
] | A | Ans. is 'a' i.e., Outer hair cells in basal area Cochlear damage with the use of aminoglycosides stas from the base and spreads to the apex; hearing loss affects the high frequency sound first, then progressively encompasses the lower frequencies. Outer hair cells are easily damaged by ototoxic drugs (aminoglycosides) ... |
medmcqa_5016 | medmcqa | <ctx>
at - home " gum disease treatments involve injecting antimicrobial solutions, such as hydrogen peroxide, into periodontal pockets via slender applicators or oral irrigators. this process disrupts anaerobic micro - organism colonies and is effective at reducing infections and inflammation when used daily. a number... | [
"Will cause necrosis in the Periapical tissues",
"Will resorb on its own",
"Will be removed by multinucleated giant cells",
"Will have to be removed by apicoectomy"
] | C | |
openbookqa_1685 | openbookqa | <ctx>
are killed on roads when they leave the water to lay their eggs in upland sites. fish can be negatively affected by docks and retaining walls which remove breeding habitat in shallow water. some shoreline communities even deliberately try to remove wetlands since they may interfere with activities like swimming. ... | [
"weather",
"sunlight",
"critters",
"organism diagrams"
] | C | |
medmcqa_2482 | medmcqa | <ctx>
##idants on phagocyte - induced mutagenesis in bacteria. j. immunol. 1982 ; 128 : 2770 - 2772. 70. zaner ks, stossel tp. some perspectives on the viscosity of actin filaments. j cell biol. 1982 ; 93 : 987 - 991. 72. lind se, yin hl, stossel tp. human platelets contain gelsolin, a regulator of actin filament lengt... | [
"Diffuse large cell",
"Small cell lymphocytic lymphoma",
"Follicular cleavage",
"Large cell follicular"
] | A | |
arc_easy_1354 | arc_easy | <ctx>
30 minutes, a significant amount of gelatin would break down. the marshmallow would have reduced springiness from that loss of gelatin. but since the time the syrup spends at elevated temperature in modern cookers is so short, there is little to no degradation of the gelatin. in terms of texture, and mouth - feel... | [
"an atom",
"a mixture",
"a molecule",
"an element"
] | B | |
aquarat_37467 | aquarat | <ctx>
and coaches can be key tools in persuading people out of their cars and onto public transport. " the organisers of the 2012 summer olympics aimed to get 100 % of people to the venues by public transport or other non - car modes ( cycling / walking ) with around 10 per cent of spectators arriving by bus and coach.... | [
"A)20mins",
"B)19mins",
"C)5mins",
"D)4mins"
] | B | Let the distance be x km. Then,
( Time taken to walk x km) + (time taken to ride x km) =37 min.
( Time taken to walk 2x km ) + ( time taken to ride 2x km )= 74 min.
But, the time taken to walk 2x km = 55 min.
Time taken to ride 2x km = (74-55)min =19 min.
Ans: B |
medmcqa_2413 | medmcqa | <ctx>
higher risk of bladder cancer compared to people who have never smoked. passive smoking also appears to be a risk. opium consumption increases the risk of bladder cancer by 3 - fold and concurrent use of opium and smoking increases the risk of bladder cancer by 5 times compared to the general population. occupati... | [
"Silica",
"Iron",
"Coal dust",
"Cotton dust"
] | C | Ans. is 'c' i.e., Coal dust * Anthracosis- Coal dust* Silicosis- Silica* Siderosis- Iron* Byssinosis- Cotton dust (textile industry)* Farmer's lung- Hay or grain dust (micropolyspora faeni)* Sequousis- Moldy red wood saw dust* Suberosis- Moldy cork dust* Detergent workers lung- Enzyme additives* Baggassosis- Sugarcane ... |
aquarat_23230 | aquarat | <ctx>
mr. jones has two children. the older child is a girl. what is the probability that both children are girls? under the aforementioned assumptions, in this problem, a random family is selected. in this sample space, there are four equally probable events : only two of these possible events meet the criteria specif... | [
"A)40 years",
"B)45 years",
"C)50 years",
"D)54 years"
] | D | Solution
Let the sum of present ages of the two sons be x years.
Then,father's present age = 3x years.
∴ (3x + 6)=2 (x +12) ⇔ 3x + 6 = 2x + 24⇔ x =18.
Hence,father's present age = 54 years. Answer D |
aquarat_1220 | aquarat | <ctx>
##88070331088462855743520880671299302895546822695492968577380 7067958428022008294111984222973260208233693152589211629901686973933487362360 8129660418514569063995282978176790149760521395548532814196534676974259747930 6858645849268328985687423881853632604706175564461719396117318298679820785491 875674946700413680932... | [
"A)90",
"B)93",
"C)96",
"D)97"
] | B | Let number of notes of each denomination be x.
Then x + 5x + 10x = 496
16x = 496
x = 31.
Hence, total number of notes = 3x = 93.
B |
aquarat_7811 | aquarat | <ctx>
the answer should also have three significant figures. the answer 30. 0 km / hr does indeed have three significant figures, so this is appropriate. note that the significant figures in the conversion factor are not relevant because an hour is defined to be 60 minutes, so the precision of the conversion factor is ... | [
"A)550m",
"B)500m",
"C)375 m",
"D)420 m"
] | A | The distance traveled in 30 sec = 66*(5/18) *30 =550m
ANSWER:A |
arc_challenge_16 | arc_challenge | <ctx>
clay minerals are hydrous aluminium phyllosilicates ( e. g. kaolin, al2si2o5 ( oh ) 4 ), sometimes with variable amounts of iron, magnesium, alkali metals, alkaline earths, and other cations found on or near some planetary surfaces. clay minerals form in the presence of water and have been important to life, and ... | [
"breaks easily when struck with a hammer",
"bubbles when acid is placed on it",
"is easily scratched by a fingernail",
"reflects light from its surface"
] | C | |
pubmedqa_866 | pubmedqa | <ctx>
noninvasive glucose monitoring ( nigm ) is the measurement of blood glucose levels, required by people with diabetes to prevent both chronic and acute complications from the disease, without drawing blood, puncturing the skin, or causing pain or trauma. the search for a successful technique began about 1975 and h... | [
"yes",
"no",
"maybe"
] | A | |
aquarat_23135 | aquarat | <ctx>
, - 1 ) : if l [ j ] < l [ k ] : maxj = j break if maxj is not none and r [ maxj ] < r [ k ] : i [ maxj ] = ( lidx [ maxj ], i + 1 ) r [ maxj ] = total k = maxj else : k + = 1 break # getting maximal subsequences using stored indices return [ scores [ i [ l ] [ 0 ] : i [ l ] [ 1 ] ] for l in range ( k ) ] see als... | [
"A)3 and 8",
"B)4 and 5",
"C)2 and 6",
"D)2 and 5"
] | D | frequency means how many times the number occured in the given series
here they asked about least and max frequency
so in the given pair 2 occurs 1 time and 5 occurs 5 times
ANSWER:D |
qasc_7918 | qasc | <ctx>
. however, scientists now say that global warming is making bushfires burn more intensely and frequently and believe the 2019 – 2020 fires have already released approximately of carbon dioxide – as much as two - thirds of australia's average annual carbon dioxide emissions ( in 2017 ) between october and december... | [
"wind energy",
"natural gas",
"green manures",
"Greenhouse gases"
] | B | |
aquarat_14661 | aquarat | <ctx>
of event 2 is, as person 2 may have any birthday other than the birthday of person 1. similarly, the probability of event 3 given that event 2 occurred is, as person 3 may have any of the birthdays not already taken by persons 1 and 2. this continues until finally the probability of event 23 given that all preced... | [
"A)5",
"B)10",
"C)15",
"D)20"
] | B | Let present age of P and Q be x and 2x respectively.
Ten years ago, Q was half of R's age
⇒(x−10)=2(2x−10)
⇒x−10=4x−20
⇒3x=10
⇒x=10/3
Total of their present ages=x+2x
=>10/3 + 20/3
=>30/3
=>10
ANSWER:B |
aquarat_43014 | aquarat | <ctx>
by peter winkler for more information, and see the discussion on les - mathematiques. net. consult the references on 100 prisoners for links to these references. the above computation may be performed in a more simple and direct way, as follows : first note that a permutation of elements contains at most one cycl... | [
"A)5",
"B)7",
"C)9",
"D)11"
] | C | $141 = 27*$5 + 2*$3
We can find other combinations by reducing the $5 chocolates by 3 (which is -$15)and increasing the $3 chocolates by 5 (which is +$15).
The number of $5 chocolates can be 27, 24, 21, 18, 15,...,3 for a total of 9 combinations.
The answer is C. |
qasc_1181 | qasc | <ctx>
in ecology, an ecosystem is said to possess ecological stability ( or equilibrium ) if it is capable of returning to its equilibrium state after a perturbation ( a capacity known as resilience ) or does not experience unexpected large changes in its characteristics across time. although the terms community stabil... | [
"evolving",
"protect them",
"recycling",
"ligt"
] | A | |
medmcqa_9352 | medmcqa | <ctx>
the ureters have been resited as a result of surgery, for example due to a kidney transplant or due to past surgery for vesicoureteric reflux, that site may also become narrowed. a narrowed ureter may lead to ureteric enlargement ( ) and cause swelling of the kidneys ( hydronephrosis ). associated symptoms may in... | [
"Duplication",
"Renal vein thrombosis",
"Hydronephrosis",
"Hypoplasia"
] | B | B i.e. Renal vein thrombosis - Nonvisualization of kidney (or absence of nephrogram) occurs in complete renal ischemia secondary to occlusion of main renal aery, (global absence) or focal renal infarction/ischemia secondary to focal aerial occlusion or renal vein thrombosisQ or space occupying lesions (segmental absenc... |
aquarat_20398 | aquarat | <ctx>
in super bowl iii, and the giants'win over the new england patriots in super bowl xlvi. wnbc also serves as the official flagship carrier of giants preseason football games and is the new york area station for nbc's national broadcasts of sunday night football featuring either one of the two teams. the station al... | [
"A)1/18",
"B)5/36",
"C)7/48",
"D)11/72"
] | B | 11/12*1/15 + 1/12*14/15 = 25/180 = 5/36
The answer is B. |
medmcqa_1174 | medmcqa | <ctx>
take into account that the survival probability cannot be large. derivation as a maximum likelihood estimator kaplan – meier estimator can be derived from maximum likelihood estimation of the discrete hazard function. more specifically given as the number of events and the total individuals at risk at time, discr... | [
"T-test",
"Chi-square test",
"Log rank test",
"Whitneys test"
] | C | Ans. is 'C' i.e., Log rank test o The Kaplan-Meier estimator is an estimater for estimating the survival function from life time data. o A plot of the Kaplan-Meier estimate of the survival function is a series of horizontal steps of declining magnitude which, wrhen a large enough sample is taken, approaches the true su... |
aquarat_38624 | aquarat | <ctx>
proportional item allocation is a fair item allocation problem, in which the fairness criterion is proportionality - each agent should receive a bundle that they value at least as much as 1 / n of the entire allocation, where n is the number of agents. since the items are indivisible, a proportional assignment ma... | [
"A)1000",
"B)1500",
"C)2500",
"D)2000"
] | D | Let the share of A,B,C,D be 5x, 2x, 4x, 3x
then 4x-3x = 1000
x=1000
B's share = 2*1000 = $2000
Answer is D |
arc_challenge_933 | arc_challenge | <ctx>
##cession on earth occurs over a 26, 000 - year cycle. the earth's moon appears to play a crucial role in moderating the earth's climate by stabilising the axial tilt. it has been suggested that a chaotic tilt may be a " deal - breaker " in terms of habitability — i. e. a satellite the size of the moon is not onl... | [
"its climate",
"its great seas",
"its atmosphere",
"its mountain ranges"
] | D | |
arc_easy_750 | arc_easy | <ctx>
oceanic trenches – deep valleys, created by the mantle circulation movement from the mid - ocean mountain ridge to the oceanic trench. hotspot volcanic island ridges are created by volcanic activity, erupting periodically, as the tectonic plates pass over a hotspot. in areas with volcanic activity and in the ocea... | [
"They will be squeezed out onto deltas.",
"They will recrystallize into new rock.",
"They will become part of Earth's outer core.",
"They will melt in magma chambers."
] | B | |
pubmedqa_459 | pubmedqa | <ctx>
cad it is unclear if pci or cabg in addition to the other treatments improves life expectancy or decreases heart attack risk. in 2015, cad affected 110 million people and resulted in 8. 9 million deaths. it makes up 15. 6 % of all deaths, making it the most common cause of death globally. the risk of death from c... | [
"yes",
"no",
"maybe"
] | B | |
medmcqa_7590 | medmcqa | <ctx>
##inthes – phylogenetic evidence from morphology and molecules. biological journal of the linnean society, 66, 75 – 114. 1999 with d t j littlewood, r a bray and e a herniou. phylogeny of the platyhelminthes and the evolution of parasitism. biological journal of the linnean society, 68, 257 – 287. 1999 with i d w... | [
"D. latum",
"D. medinensis",
"W.bancrofti",
"S. mansoni"
] | B | |
medmcqa_429 | medmcqa | <ctx>
schwann cells or neurolemmocytes ( named after german physiologist theodor schwann ) are the principal glia of the peripheral nervous system ( pns ). glial cells function to support neurons and in the pns, also include satellite cells, olfactory ensheathing cells, enteric glia and glia that reside at sensory nerv... | [
"Neural crest cells",
"Endoderm",
"Mesoderm",
"Ectoderm"
] | A | |
qasc_5012 | qasc | <ctx>
there are no ripples. gently drop a cork into the middle of the bowl. estimate the wavelength and period of oscillation of the water wave that propagates away from the cork. remove the cork from the bowl and wait for the water to settle again. gently drop the cork at a height that is different from the first drop... | [
"Helps fish",
"Pleases fish",
"Disturbs fish",
"reduced heat"
] | C | |
openbookqa_1472 | openbookqa | <ctx>
. freud's " libido " corresponds to a dopaminergic seeking system drives can be understood as a series of basic emotions ( prompts to action ) anchored in pontine regions, specifically the periaqueductal gray, and projecting to cortex : play ; seeking ; caring ; fear ; anger ; sadness. seeking is constantly activ... | [
"geese leave colder regions",
"a human boy learns to speak French",
"a chicken learns to play fetch",
"an eagle eats trash"
] | A | |
aquarat_41675 | aquarat | <ctx>
2. 3 • time, velocity, and speed 45 figure 2. 11 position vs. time, velocity vs. time, and speed vs. time on a trip. note that the velocity for the return trip is negative. making connections : take - home investigation — getting a sense of speed if you have spent much time driving, you probably have a good sense... | [
"A)A) 3.12",
"B)B) 8",
"C)C) 2.49",
"D)D) 15"
] | C | Old time in minutes to cross 4 miles stretch = 4*60/55 = 4*12/11 = 4.36
New time in minutes to cross 4 miles stretch = 4*60/35 = 4*12/7 = 6.85
Time difference = 2.49
Ans:C |
qasc_99 | qasc | <ctx>
startle response will not occur. as the threatening stimuli moves forward and decreases the flight zone, the dog will exhibit behaviors that fall into a startle or avoidance response. avoidance response the avoidance response is a form of negative reinforcement which is learned through operant conditioning. this ... | [
"murmur",
"reflexes",
"vehicles",
"movement"
] | D | |
medmcqa_3156 | medmcqa | <ctx>
diagnosis many features of gerodermia osteodysplastica ( go ) and another autosomal recessive form of cutis laxa, wrinkly skin syndrome ( wss, ), are similar to such an extent that both disorders were believed to be variable phenotypes of a single disorder. several delineating factors, however, suggest that gerod... | [
"Congenital Adrenal FIyperplasia (CAH)",
"Adrenal Haemorrhage",
"Acute Gastorenteritis with dehydration",
"Hyperaldosteronism"
] | A | Presence of vomiting, lethargy, dehydration, hyponatremia, hyperkalemia, hypoglycemia and shock in this eight-year-old male infant suggest a diagnosis of neonatal adrenal insufficiency/crisis.
Congenital Adrenal Hyperplasia is the most prevalent cause of adrenal insufficiency in neonates (typically 7-14 days post deliv... |
qasc_388 | qasc | <ctx>
the great barrier reef combine to further stress the organisms. not only can ocean acidification affect habitat and development, but it can also affect how organisms view predators and conspecifics. studies on the effects of ocean acidification have not been performed on long enough time scales to see if organism... | [
"Energy.",
"support",
"fuel",
"Energy"
] | B | |
aquarat_10985 | aquarat | <ctx>
at the end of each semester. history see : education in czechoslovakia and list of colleges and universities in slovakia system primary education primary schools are usually preceded by kindergartens where children can spend up to 4 years, which in turn can be preceded by day nurseries. generally, children start ... | [
"A)2:5",
"B)2:3",
"C)2:4",
"D)1:1"
] | D | Let the ratio be k : 1. Then,
k * 16.2 + 1 * 15.4 = (k + 1) * 15.8
= (16.2 - 15.8)k = (15.8 - 15.4)
= k = 0.4/0.4 = 1/1
Required ratio = 1/1 : 1 = 1:1.
Answer:D |
qasc_7341 | qasc | <ctx>
, encouraging shoppers to buy soon - to - be - remaindered foods. they can make their purchase online, then go by the store to pick up their food. initially focusing on restaurants and bakeries, the too good to go app enables customers to buy discounted surprise bags of food. too good to go was first used in denm... | [
"glucose",
"fat",
"fuel",
"Heat"
] | B | |
qasc_7925 | qasc | <ctx>
. however, scientists now say that global warming is making bushfires burn more intensely and frequently and believe the 2019 – 2020 fires have already released approximately of carbon dioxide – as much as two - thirds of australia's average annual carbon dioxide emissions ( in 2017 ) between october and december... | [
"CO2",
"oil",
"tar",
"gas"
] | B | |
mmlu_aux_8109 | mmlu_auxiliary | <ctx>
visible images. electric discharges can induce fluorescence, as in so - called neon lights and in gas - discharge tubes that produce atomic and molecular spectra. common fluorescent lights use an electric discharge in mercury vapor to cause atomic emissions from mercury atoms. the inside of a fluorescent light is... | [
"dark",
"toasty",
"cold",
"icy"
] | B | null |
medmcqa_5599 | medmcqa | <ctx>
##ers who can invade wild - types'cooperators'of pathogenic bacteria until cooperator populations go to extinction or overall population'cooperators and cheaters'go to extinction. pseudomonas aeruginosa p. aeruginosa represents a commonly used biofilm model organism since it is involved in different types of biof... | [
"Leukemoid reaction",
"Leukopenia",
"Myeloid metaplasia",
"Myeloproliferative disease"
] | A | Leukemoid reaction. Circulating levels of leukocytes and their precursors may occasionally reach very high levels (>50,000WBC/mL). Such a situation, referred to as a leukemoid reaction, is sometimes difficult to differentiate from leukemia. In contrast to bacterial infections, viral infections (including infectious mon... |
aquarat_23708 | aquarat | <ctx>
a unit fraction is a positive fraction with one as its numerator, 1 /. it is the multiplicative inverse ( reciprocal ) of the denominator of the fraction, which must be a positive natural number. examples are 1 / 1, 1 / 2, 1 / 3, 1 / 4, 1 / 5, etc. when an object is divided into equal parts, each part is a unit f... | [
"A)12/25",
"B)13/25",
"C)3/5",
"D)6/7"
] | A | Explanation :
Let the fraction be x/y
We have 150x/120y = 9/15
= x/y = 12/25
Answer : Option A |
pubmedqa_954 | pubmedqa | <ctx>
9 fluoride, found in many toothpastes, helps prevent tooth decay ( credit : kerry ceszyk ). unfortunately, excess fluoride can negate its advantages. natural sources of drinking water in various parts of the world have varying concentrations of fluoride, and places where that concentration is high are prone to ce... | [
"yes",
"no",
"maybe"
] | C | |
aquarat_38022 | aquarat | <ctx>
money between two accounts in a same bank is mostly free ( for some banks may incur a small charge of irr 250 ) but between different banks costs from 5, 000 to 39, 600 ( for amounts of 10, 000 to 150, 000, 000 ) for instant transactions, irr 2, 000 to 25, 000 for " paya " transactions, and checking the account b... | [
"A)Rs 140",
"B)Rs 160",
"C)Rs 180",
"D)Rs 200"
] | C | X : Y : Z = 7 : 8 : 11. Hire charges paid by Y = Rs(520×9/26) = Rs.180.
Answer C |
pubmedqa_824 | pubmedqa | <ctx>
of hyoid position in pediatric sleep apnea. future studies are needed in this area. a scottish study used cephalometric radiographs in order to find cause of sleep apnea. this was performed on adult men and women and found that location of the hyoid also correlates with the obstructive sleep apnea / hypopnea synd... | [
"yes",
"no",
"maybe"
] | A | |
qasc_5916 | qasc | <ctx>
typically north ) recede and the opposite ( southern ) shores sink. this causes the formation of new rapids and rivers. for example, lake pielinen in finland, which is large ( 90 x 30 km ) and oriented perpendicularly to the former ice margin, originally drained through an outlet in the middle of the lake near nu... | [
"weather",
"sunlight",
"Joules",
"wind"
] | A | |
mmlu_aux_1642 | mmlu_auxiliary | <ctx>
interest surrounding the discovery of hundreds of planets orbiting other stars. kepler telescope, however has a more specific mission - to discover hundreds of terrestrial planets which are defined as exoplanets that are one half to twice the size of the earth. a priority is to find those in the habitable zone of... | [
"Kepler-78b is a newly-found planet in the solar system",
"Although ly small, Kepler-78b has many properties that are similar to those of the earth",
"Kepler-78b has the same orbit circling the sun as the earth does",
"The earth is ly larger than Kepler-78b both in size and in diameter"
] | B | null |
qasc_6567 | qasc | <ctx>
, freezing temperatures are a greater possibility, which explains why farmers keep track of the dew point. low humidity in deserts means low dew - point temperatures. thus condensation is unlikely. if the temperature drops, vapor does not condense in liquid drops. because no heat is released into the air, the air... | [
"It reaches the dew point",
"It reaches Kelvin point",
"Movement of an air mass",
"Warm air moving into cold air"
] | A | |
aquarat_20069 | aquarat | <ctx>
7. 1 work : the scientific definition 1. how much work does a supermarket checkout attendant do on a can of soup he pushes 0. 600 m horizontally with a force of 5. 00 n? express your answer in joules and kilocalories. 2. a 75. 0 - kg person climbs stairs, gaining 2. 50 meters in height. find the work done to acco... | [
"A)33",
"B)77",
"C)66",
"D)22"
] | D | Let the number of units which can be completed by each man, each women and each boy be m/day, w/day and b/day respectively.
Work = 8(8m + 10w +6b)units = 12(20m)
10w +6b = 22m
b is unknown.
We cannot find the relation between m and w.
We cannot answer the question.
Answer:D |
qasc_7999 | qasc | <ctx>
principle has been put in the service of gene cascades that control body - shape. each time a cell divides, two cells result which, although they contain the same genome in full, can differ in which genes are turned on and making proteins. sometimes a'self - sustaining feedback loop'ensures that a cell maintains ... | [
"electricity",
"proteins",
"A computer",
"Energy"
] | B | |
medmcqa_3367 | medmcqa | <ctx>
fracture is the appearance of a crack or complete separation of an object or material into two or more pieces under the action of stress. the fracture of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid. if a displacement develops perpendicular to the s... | [
"Zygomatic fracture",
"Maxillary fracture",
"Mandibular fracture",
"Temporal fracture"
] | A | Zygoma fracture is also known as tripod fracture. Clinical features of zygoma fracture Considerable swelling over zygomatic arch is common and makes clinical diagnosis more difficult. Flattening of malar prominence. Step-deformity of infraorbital margin. Anaesthesia in the distribution of infraorbital nerve. Trismus, d... |
medmcqa_6393 | medmcqa | <ctx>
matrix at the gum line, called dental plaque. other contributors are poor nutrition and underlying medical issues such as diabetes. diabetics must be meticulous with their homecare to control periodontal disease. new finger prick tests have been approved by the food and drug administration in the us, and are bein... | [
"Buccal mucosa",
"Floor of mouth",
"Lateral border of tongue",
"palate"
] | B | |
aquarat_21534 | aquarat | <ctx>
trial division is the most laborious but easiest to understand of the integer factorization algorithms. the essential idea behind trial division tests to see if an integer n, the integer to be factored, can be divided by each number in turn that is less than n. for example, for the integer, the only numbers that ... | [
"A)6",
"B)5",
"C)2",
"D)3"
] | D | take the example of 16...
it has 3 positive divisors (1,2,4,8,16)
Now, take the example of 4...
it has only 3 divisors..
so D is the ans |
qasc_2173 | qasc | <ctx>
5. 3 enthalpy chemical reactions, such as those that occur when you light a match, involve changes in energy as well as matter. societies at all levels of development could not function without the energy released by chemical reactions. in 2012, about 85 % of us energy consumption came from the combustion of petr... | [
"Oak",
"Gold",
"Spruce",
"cellulose"
] | C | |
arc_challenge_1095 | arc_challenge | <ctx>
desert dunes. barchan dunes are formed as winds continuously blow in the same direction, and are characterized by a crescent - shape atop the dune. seif dunes are long and narrow, featuring a sharp crest, and are more common in the sahara desert. analysis of geological features in desert environments can reveal a... | [
"Foliage in the rainforest reflects heat.",
"Organisms in the rainforest absorb moisture.",
"Solar radiation in the rainforest is less intense.",
"Cloud cover in the rainforest helps to retain heat."
] | D | |
openbookqa_1607 | openbookqa | <ctx>
store ice ( thermal energy in the form of latent heat ) at night to meet peak demand for cooling. fossil fuels such as coal and gasoline store ancient energy derived from sunlight by organisms that later died, became buried and over time were then converted into these fuels. even food ( which is made by the same ... | [
"fossil fuels",
"windmills",
"coal mining",
"fracking"
] | B | |
openbookqa_2614 | openbookqa | <ctx>
shade trees and creation of wind breaks permeable paving materials to reduce stormwater run - off and allow rain water to infiltrate into the ground and replenish groundwater rather than run into surface water use of sustainably harvested wood, composite wood products for decking and other garden uses, as well as... | [
"roots may fall apart",
"roots may begin to die",
"parts may break the concrete",
"roots may be split"
] | C | |
aquarat_26328 | aquarat | <ctx>
##2322972552204068806061829535529820731640151 rsa - 360 rsa - 360 has 360 decimal digits ( 1, 194 bits ), and has not been factored so far. rsa - 360 = 2186820202343172631466406372285792654649158564828384065217121866374227745448 7764963889680817334211643637752157994969516984539482486678141304751672197524 00523505... | [
"A)12",
"B)10",
"C)8",
"D)6"
] | A | This is an alternating number subtraction series. The pattern is -2, -4, -2, ....
The answer is A. |
openbookqa_1496 | openbookqa | <ctx>
##s are classified into three main ecophysiological categories : ( 1 ) leaf litter - or compost - dwelling worms that are nonburrowing, live at the soil - litter interface and eat decomposing organic matter ( epigeic ) e. g. eisenia fetida ; ( 2 ) topsoil - or subsoil - dwelling worms that feed ( on soil ), burro... | [
"a living tree",
"a healthy human",
"a dead lizard",
"a living rat"
] | C | |
medmcqa_5283 | medmcqa | <ctx>
##anine and cytosine content, and in humans is maternally derived. mitochondria of mammals have 55s ribosomes. composition metabolites the matrix is host to a wide variety of metabolites involved in processes within the matrix. the citric acid cycle involves acyl - coa, pyruvate, acetyl - coa, citrate, isocitrate... | [
"Fatty acid synthesis",
"DNA synthesis",
"Fatty acid oxidation (β-oxidation)",
"Protein synthesis"
] | D | Protein synthesis is a cytoplasmic process.
Fatty acid synthesis starts with the production of Acetyl Co A within the mitochondria .
β-oxidation of fatty acid oxidation also occurs in mitochondria .
Mitochondrial DNA synthesis occurs within the mitochondria . Protein synthesis Process whereby DNA encodes for t... |
medmcqa_3740 | medmcqa | <ctx>
mineralization process compose most of the material transported into the matrix, importantly amelogenins, ameloblastins, enamelins, and tuftelins. the ca2 + mainly comes from the enamel organ, and not the dental papilla, by either passive, extracellular transportation or active, intracellular transportation. the ... | [
"8-9 months",
"10-11 months",
"19-20 months",
"15-16 months"
] | A | |
medmcqa_6788 | medmcqa | <ctx>
##s, especially in aged dogs, can appear similar to mf or non - epidermotropic cutaneous lymphoma ( necl ). multiple histiocytomas may look like cutaneous histiocytosis, although morphologically histiocytomas are consistently epidermotropic and commonly epidermally invasive, these are not features of cutaneous hi... | [
"Rhinosporidiosis",
"Rhinophyma",
"Atrophic rhinitis",
"Strawberry nose"
] | B | . |
openbookqa_1033 | openbookqa | <ctx>
such as kourabies ( ) and melomakarona ( ). other christmas and new year foods include baklava, kataifi ( pastry ), and thiples ( a kind of fried pastry ). on december 24 and 23 housewives make the christmas cake with a cross in the middle and which are subsequently offered to the elderly and children. children g... | [
"flow to space",
"fueling trucks",
"seasoned and devoured",
"drowned alive"
] | C | |
medmcqa_2104 | medmcqa | <ctx>
certain cortical granules undergo redistribution and / or exocytosis throughout the meiotic cycle thus establishing the cgfds. more specifically, evidence includes increased quantities of cortical granules surrounding the cgfds and a decreased overall quantity of the cell's cortical granules during the meiotic cy... | [
"Ampulla",
"Isthmus",
"Interstitial",
"Infundibular"
] | A | REF : DUTTA OBG 9TH ED |
medmcqa_2346 | medmcqa | <ctx>
##ibroblastic spindle cell sheets in a myxoid background ( i. e. a background matrix containing gelatinous mucopolysaccharides and non - sulfated glycosaminoglycans ) ; the matrix also contains inflammatory cells, particularly plasma cells and lymphocytes occasionally mixed with eosinophils and neutrophils. the e... | [
"Calcitonin",
"TSH level",
"Anti TPO antibody",
"TRH"
] | A | Ans. (a) CalcitoninCytology showed showed parafollicular cells along with clusters of plasmacytoid and few spindle shaped cells are suggestive of medullary ca thyroid and so should be followed up by its tumor marker calcitonin. |
medmcqa_5986 | medmcqa | <ctx>
published photos of several bones with holes in them which had more or less circular holes similar to those found in the artifact, but they did not have a single bone coming even close to the linear alignment of turk's holes. ignoring the probability of the alignment of the holes, d'errico's interpretation was th... | [
"No brain damage",
"Seen in infants",
"Depressed fracture of the skull",
"Shearing of the dura is not seen"
] | C | Ans. Depressed fracture of the skull |
medmcqa_275 | medmcqa | <ctx>
certain cortical granules undergo redistribution and / or exocytosis throughout the meiotic cycle thus establishing the cgfds. more specifically, evidence includes increased quantities of cortical granules surrounding the cgfds and a decreased overall quantity of the cell's cortical granules during the meiotic cy... | [
"A series of meiotic divisions forming blastomeres",
"Production of highly differentiated blastomeres",
"An increased cytoplasmic content of blastomeres",
"A decrease in size of blastomeres"
] | D | Cleavage is a series of mitotic divisions by which the large amount of zygote cytoplasm is successively paitioned among the newly formed blastomeres. Although the number of blastomeres increases during cleavage, the size of individual blastomeres decreases until they resemble adult cells in size. |
medmcqa_3911 | medmcqa | <ctx>
the medial pterygoid nerve ( nerve to medial pterygoid, or internal pterygoid nerve ) is a nerve of the head. it is a branch of the mandibular nerve ( cn v3 ). it supplies the medial pterygoid muscle, the tensor veli palatini muscle, and the tensor tympani muscle. structure origin the medial pterygoid nerve is a ... | [
"Sternohyoid",
"Thyrohyoid",
"Digastric",
"Stylohyoid"
] | C | Digastric muscle Digastric has two bellies United by an intermediate tendon. NERVE SUPPLY; anterior belly by nerve to mylohyoid, facial nerve. ACTIONS; 1. Depresses mandible is opened widely or against resistance it is secondary to lateral pterygoid. 2. Elevates hyoid bone. Ref BDC volume 3;6th edition |
aquarat_41066 | aquarat | <ctx>
, for a set of randomly chosen people, what is the probability that some pair of them will have the same birthday? the problem itself is mainly concerned with counterintuitive probabilities, but we can also tell by the pigeonhole principle that if there are 367 people in the room, there is at least one pair of pe... | [
"A)12",
"B)51",
"C)13",
"D)15"
] | D | Two students can be selected from 6 in 6C2 =15 ways.
Therefore, the teacher goes to the zoo 15 times.
Ans: D |
mmlu_aux_4341 | mmlu_auxiliary | <ctx>
of this now - extinct species. the dodo, a flightless bird from mauritius, is another well - known example of overexploitation. as with many island species, it was naive about certain predators, allowing humans to approach and kill it with ease. from the earliest of times, hunting has been an important human acti... | [
"Strict rules alone can remove the bad effects of alien species.",
"Plants, herbivores and carnivores are the three tiers of consumers.",
"If a bird becomes extinct, the relevant food chain will be disrupted.",
"Animals and plants become extinct because alien species are imported."
] | C | null |
mmlu_aux_5153 | mmlu_auxiliary | <ctx>
the most recent sighting being reported during 2015. investigation after the sightings, the royal new zealand air force, the police and the carter observatory in wellington cooperated in an investigation, the results of which were lodged in the national archives in wellington. the new zealand ministry of defence ... | [
"Scientists know about the aliens' life well.",
"Some scientists try to imagine aliens' life.",
"Scientists have the same idea about the UFO.",
"Many scientists have already understood the origin of the UFO sightings."
] | B | null |
qasc_2299 | qasc | <ctx>
8. 7 introduction to rocket propulsion learning objectives by the end of this section, you will be able to : • state newton ’ s third law of motion. • explain the principle involved in propulsion of rockets and jet engines. • derive an expression for the acceleration of the rocket and discuss the factors that aff... | [
"supersonic",
"a hydraulic system",
"sun's heat",
"Mechanical energy"
] | D |
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