id
string
dataset
string
question
string
options
list
answer
string
explanation
string
medmcqa_7015
medmcqa
<ctx> equal pr intervals with intermittent dropped beats ( p wave with no qrs ) third degree : complete dissociation between p wave and qrs complex, atria and ventricles are beating independent of one another management providers should follow the aha's pediatric bradycardia with a pulse algorithm. as always, provides ...
[ "Exploring the patient followed by splenectomy", "Exploring the patient followed by excision of the lower pole of spleen", "Splenorrhaphy", "Continuation of conservative treatment under close monitoring system and subsequent surgery if further indicated" ]
D
medmcqa_1663
medmcqa
<ctx> mylohyoid, tensor tympani, and tensor veli palatini. second arch all of the pharyngeal muscles of the second pharyngeal arch are innervated by the facial nerve. these muscles include the muscles of facial expression, the posterior belly of the digastric, the stylohyoid muscle, the auricular muscle and the stapedi...
[ "Larynx carcinoma", "Aortic aneurysm", "Mediastinal lymphadenopathy", "Vocal nodule" ]
A
First I would like to exclude other three options : - Aortic aneurysm (option b) and mediastinal lymphadenopathy (option c) cause left sided vocal cord paralysis. Vocal nodules does not cause vocal cord paralysis.  Now we are left with option 'a' only : - "Laryngeal carcinoma especially glottic can cause unilatera...
openbookqa_143
openbookqa
<ctx> : " the public in the united states and throughout much of the world has become keenly aware of the limitations of continued reliance on petroleum - based fuels. concerns over diminishing supplies, growing demand, price instabilities, environmental impacts, international competition for limited resources, energy ...
[ "they are endlessly available", "inexpensive to store at home", "free for everyone's use", "available to the public" ]
A
aquarat_49370
aquarat
<ctx> per hour. one can ask whether the vehicles are getting closer or further apart and at what rate at the moment when the north bound vehicle is 3 miles north of the intersection and the west bound vehicle is 4 miles east of the intersection. big idea : use chain rule to compute rate of change of distance between tw...
[ "A)3", "B)6", "C)9", "D)18" ]
B
I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer. My solution is as follows, and I ask anyone to correct me if I am wrong. Solution 1 Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X dA = X dB = 12*3.14 - X Times t...
mmlu_aux_5246
mmlu_auxiliary
<ctx> , m33 ), according to a procedure similar to that of the first scenario. the consequences for humanity are the same as in the first scenario. the scenario of a complete colonization of space has no probability of being realized according to kardashev because if it were realizable then " they " would already be on...
[ "They're afraid of us.", "It's a long way away.", "They don't want to see us.", "They don't know how to use radio signals." ]
B
null
qasc_4621
qasc
<ctx> mainly provide support to the leaves and reproductive structures, but can store water in succulent plants such as cacti, food as in potato tubers, or reproduce vegetatively as in the stolons of strawberry plants or in the process of layering. leaves gather sunlight and carry out photosynthesis. large, flat, flexi...
[ "evergreens", "it needs them", "Leptospirosis", "epidermal" ]
A
medmcqa_1530
medmcqa
<ctx> pre - test probability and post - test probability ( alternatively spelled pretest and posttest probability ) are the probabilities of the presence of a condition ( such as a disease ) before and after a diagnostic test, respectively. post - test probability, in turn, can be positive or negative, depending on whe...
[ "Disease is very fatal and/or easily curable", "Disease is nonfatal", "Calculation of prevalence and incidence is wrong", "Nothing can be said, as they are independent" ]
A
Prevalence is less than incidence 1) Disease is very fatal Most of the cases die, so at the time of calculating prevalence the number is usually less than the incidence. 2) Disease is very well curable either by rapid recovery or by treatment Most of the cases recover, so at the time of calculating prevalence the nu...
aquarat_48072
aquarat
<ctx> the same number as the wheat and chessboard problem above ). < ref > ivan moscovich, 1000 playthinks : puzzles, paradoxes, illusions & games, workman pub., 2001. < / ref > computing – ipv6 : 18, 446, 744, 073, 709, 551, 616 ( 264 ; ≈1. 84 ) possible unique / 64 subnetworks. mathematics – rubik's cube : there are ...
[ "A)40", "B)72", "C)80", "D)112" ]
D
Case 1: Numbers starting with 7 7 _ _ The unit digit can take 5 numbers (0,2,4,6,8) to be EVEN so 5 ways. The tens digit can take remaining 8 numbers left after using 2 numbers so 8 ways. Total = 8*5=40 Case 2: Numbers starting with 8 8 _ _ The unit digit can take 4 numbers (0,2,4,6) to be EVEN so 4 ways. The tens digi...
medmcqa_5379
medmcqa
<ctx> lamellar bone. in adults, woven bone is created after fractures or in paget's disease. woven bone is weaker, with a smaller number of randomly oriented collagen fibers, but forms quickly ; it is for this appearance of the fibrous matrix that the bone is termed woven. it is soon replaced by lamellar bone, which is...
[ "Skull", "Femur", "Pelvis", "Veebrae" ]
C
Ans. is 'c' i.e., Pelvis The pelvis and tibia being the commonest sites, and femur, skull, spine (veebrae) and clavicle the next commonest.
mmlu_aux_1682
mmlu_auxiliary
<ctx> intelligent objects and, sooner or later, a new generation of information systems that are even more diffused and based on nanotechnology, will profoundly change this concept. small devices that can be compared to insects do not dispose of a high intelligence on their own. indeed, their intelligence can be classe...
[ "not willing to share food", "not found around the poles", "more successful than all other animals", "too many to achieve any level of organization" ]
B
null
qasc_4293
qasc
<ctx> in agriculture and gardening, seed saving ( sometimes known as brown bagging ) is the practice of saving seeds or other reproductive material ( e. g. tubers ) from vegetables, grain, herbs, and flowers for use from year to year for annuals and nuts, tree fruits, and berries for perennials and trees. this is the t...
[ "water", "warmth", "flowers", "food" ]
A
medmcqa_1552
medmcqa
<ctx> population change is simply the change in the number of people in a specified area during a specific time period. demographics ( or demography ) is the study of population statistics, their variation and its causes. these statistics include birth rates, death rates ( and hence life expectancy ), migration rates a...
[ "Mortality", "Fertility", "Morbidity", "Marriage" ]
C
Demography is the scientific study of human population. It focuses its attention on three readily observable human phenomena :- Change in the population size (growth or decline). The composition of population. The distribution of population. It deals with five "demographic processes", namely fertility, mortality, m...
arc_easy_2071
arc_easy
<ctx> 17. 2 • speed of sound, frequency, and wavelength 729 medium vw ( m / s ) polyethylene 920 marble 3810 glass, pyrex 5640 lead 1960 aluminum 5120 steel 5960 table 17. 1 speed of sound in various media earthquakes, essentially sound waves in earth ’ s crust, are an interesting example of how the speed of sound depe...
[ "They spread in all directions away from their source.", "They remain trapped near the source by water pressure.", "They travel mostly horizontally along the ocean floor.", "They travel mostly upward toward the surface of the water." ]
A
arc_easy_674
arc_easy
<ctx> . = 93, 000, 000 mi. since the time it takes for earth to orbit the sun is 1 year, we use earth years for units of time. then, substituting 1 year for the period of earth and 1 a. u. for the average distance to the sun, kepler ’ s third law can be written as for any planet in the solar system, where is the period...
[ "travel in orbit around its moon.", "complete one rotation on its axis.", "switch orbits with the nearest planet.", "make one complete orbit around the Sun." ]
D
mmlu_aux_5197
mmlu_auxiliary
<ctx> that break down large food molecules before absorbing them through their cell membranes. many fungi are also saprobes, feeding on dead organic matter, making them important decomposers in ecological systems. animals are multicellular eukaryotes. with few exceptions, animals consume organic material, breathe oxyge...
[ "Animals.", "Plants.", "Animals and plants.", "All living things." ]
B
null
arc_easy_575
arc_easy
<ctx> boiling point condensation in aerosol dynamics deposition earth's atmosphere eddy covariance equation of state evaporative cooler fog frost gas laws gibbs free energy gibbs phase rule greenhouse gas heat capacity heat of vaporization humidity hygrometer ideal gas kinetic theory of gases latent heat latent heat fl...
[ "water cycle.", "energy cycle.", "carbon cycle.", "nitrogen cycle." ]
A
aquarat_90
aquarat
<ctx> 1. 50 km, and the distance traveled was 1. 50 km. discussion distance is a scalar. it has magnitude but no sign to indicate direction. example 2. 4 calculating acceleration : a subway train speeding up suppose the train in figure 2. 18 ( a ) accelerates from rest to 30. 0 km / h in the first 20. 0 s of its motion...
[ "A)40", "B)90", "C)120", "D)80" ]
B
If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their spee...
aquarat_34022
aquarat
<ctx> of flips, the probability that the game will eventually end this way is 1. ( one way to see this is as follows. any given finite string of heads and tails will eventually be flipped with certainty : the probability of not seeing this string, while high at first, decays exponentially. in particular, the players wo...
[ "A)1/16", "B)3/32", "C)1/8", "D)3/16" ]
C
Another approach: Two likely scenarios would be : HHTH or THTH for each of the scenarios probability would be 1/16 So Probablilty W is 1/16 + 1/16 = 1/8.C
arc_challenge_978
arc_challenge
<ctx> ##aging. the mass and volume of packaging ( per unit of contents ) can be measured and used as criteria for minimizing the package in the design process. usually " reduced " packaging also helps minimize costs. packaging engineers continue to work toward reduced packaging. reuse – reusable packaging is encouraged...
[ "aluminum.", "cardboard.", "plastic.", "glass." ]
B
medmcqa_6357
medmcqa
<ctx> escherichia coli ( ; commonly abbreviated e. coli ) is a gram - negative gammaproteobacterium commonly found in the lower intestine of warm - blooded organisms ( endotherms ). the descendants of two isolates, k - 12 and b strain, are used routinely in molecular biology as both a tool and a model organism. diversi...
[ "ETEC is invasive", "EPEC acts via cAMP", "Pilli present in uropathogenic type", "ETEC causes HUC" ]
C
medmcqa_1890
medmcqa
<ctx> with infertility and / or recurrent pregnancy loss, as these histories can be associated with parental chromosome aberrations ( such as inversions or translocations ) and other genetic conditions. cardiovascular genetics a rapidly expanding field in genetic counseling is cardiovascular genetics. more than 1 in 20...
[ "A 62 year old man with renal artery stenosis", "A 32 year old pregnant female", "A 41 year old woman with hyperkalemia", "A 56 year old diabetic woman" ]
D
aquarat_25870
aquarat
<ctx> about 0 ) of the relevant trigonometric function is where is the angle in radians. in clearer terms, it is readily seen that the second most significant ( third - order ) term falls off as the cube of the first term ; thus, even for a not - so - small argument such as 0. 01, the value of the second most significa...
[ "A)75", "B)80", "C)85", "D)90" ]
C
In a parallelogram opposite angles are equal and the angles at each side are supplementary to each other (supplementary angles are two angles that add up to 180°). Given: x+(x+10)=180 --> x=85. Answer: C.
qasc_6315
qasc
<ctx> foot to lift or the person would collapse. thus, depending on the phase, the same sensory input can cause the foot to be lifted higher or held more firmly to the ground. " this change in motor response as a function of motor pattern phase is called reflex reversal, and has been observed in invertebrates ( dicapri...
[ "lightheaded", "sweating", "inner ear", "cochlea" ]
C
openbookqa_2397
openbookqa
<ctx> the atmosphere, a gas that is required by nearly all living things to carry out cellular respiration. in addition, they are influential in the global carbon and water cycles and plant roots bind and stabilise soils, preventing soil erosion. plants are crucial to the future of human society as they provide food, o...
[ "fly", "balance upright", "cry", "sing" ]
B
medmcqa_303
medmcqa
<ctx> ' s sense self, incorporating object permanence as well, the child also begins to understand that they can in fact be separated from their primary caregiver. they see this separation as something final though, and don't yet understand that their caregiver will return causing fear and distress for the infant. it i...
[ "Nightmares", "Re-living of past adverse event", "Hypervigilance", "Avoidance" ]
B
This question is not about the diagnostic features of PTSD. This is about the differential diagnosis. PTSD is an anxiety disorder and it shares symptoms with other disorders. Impoant features in distinguishing the condition are given below. Differential diagnosis: Point 1: Etiologically significant trauma should be pre...
mmlu_aux_4782
mmlu_auxiliary
<ctx> ##dlow. 1934. " the ornithology of guerrero, mexico, " bulletin of the museum of comparative zoology 75 : 367 – 422. fernald, merritt l., and ludlow griscom. 1935. " three days of botanizing in southeastern virginia, " contributions from the gray herbarium of harvard university 107 : 129 – 157, 167 – 189. griscom...
[ "Mr. Ellis", "Some people", "The robins", "Some dogs" ]
C
null
openbookqa_1406
openbookqa
<ctx> a random surprise. the occasional meteor will make a bright, fleeting streak across the sky, and they can be very bright in comparison to the night sky. aircraft are also visible at night, distinguishable at a distance from other objects because their navigation lights blink. sky map see also amateur astronomy as...
[ "changing views of the horizon", "changing views of the Sun", "changing views of mountains", "the big Dipper disappearing over the horizon" ]
D
openbookqa_674
openbookqa
<ctx> species. types [ [ file : phytoplankton types. jpg | thumb | upright = 3. 3 | { { center | some types of phytoplankton ( not to scale )'left to right : cyanobacteria, diatom, dinoflagellate, green algae and coccolithophore } } ] ] phytoplankton are photosynthesizing microscopic protists and bacteria that inhabit ...
[ "needs food", "produces food", "can get sick", "lives in ocean" ]
B
mmlu_aux_2746
mmlu_auxiliary
<ctx> ##uki hosoda hoped the crew would have a safe return and said development in china of crewed spacecraft was not a " military threat ". – nikolai moiseyev, deputy head of the russian federal space agency said " another power has joined the space club " and that russia looked " forward to further cooperation with t...
[ "2020.", "2010.", "2018.", "No specific date." ]
D
null
medmcqa_3781
medmcqa
<ctx> density lipoproteins ( hdl ) are considered'good'lipoproteins as they search for excess cholesterol in the body and transport it back to the liver for disposal. trans fats also " increase ldl levels whilst decreasing hdl levels within the body, significantly raising blood cholesterol levels ". high levels of chol...
[ "HDL increases oxidation of LDL", "HDL reduces foam cell production by LDL", "HDL is the best predictor of CAD", "HDL helps to clear lipids from atheromas" ]
A
HDL prevent oxidation of LDL in complex in vitro models as a result HDL function as a naturally acting antioxidant which protect vessel wall from oxidative damage and resulting atherogenesis. Ref: Current Pharmaceutical Design, Page 6.
openbookqa_1884
openbookqa
<ctx> of habitat change will likely be similar in all urban environments as urban environments are all built to cater to the needs of humans. wildlife in cities are more susceptible to suffering ill effects from exposure to toxicants ( such as heavy metals and pesticides ). in china, fish that were exposed to industria...
[ "the species would have to emigrate", "the species would thrive", "the species would die off", "that animal type would be depleted" ]
B
openbookqa_317
openbookqa
<ctx> place primarily at the de young museum but also at other museums. the book is divided into seven sections, each coloured a different colour of the rainbow. ) external links the mathematics of rainbows, article from the american mathematical society interactive simulation of light refraction in a drop ( java apple...
[ "leprechauns and pots of gold", "rain and dark skies", "sun and some drizzle", "sun and clear skies" ]
C
arc_easy_499
arc_easy
<ctx> 18. 1 static electricity and charge : conservation of charge learning objectives by the end of this section, you will be able to : • define electric charge, and describe how the two types of charge interact. • describe three common situations that generate static electricity. • state the law of conservation of ch...
[ "atoms", "protons", "neutrons", "electrons" ]
D
pubmedqa_661
pubmedqa
<ctx> , churchill livingstone. 2012. management of acute and chronic neck pain. n bogduk, b mcguirk ( authors ), 1st ed., elsevier. 2006. biomechanics of back pain. m adams, n bogduk, k burton, p dolan ( authors ), 3rd ed., churchill livingstone. 2012. medical management of acute and chronic low back pain. an evidence ...
[ "yes", "no", "maybe" ]
B
aquarat_27599
aquarat
<ctx> miles? ( 1 a = 1 10−10 m ) 79. a chemist ’ s 50 - trillion angstrom run ( see exercise 1. 78 ) would be an archeologist ’ s 10, 900 cubit run. how long is one cubit in meters and in feet? ( 1 a = 1 10−8 cm ) 80. the gas tank of a certain luxury automobile holds 22. 3 gallons according to the owner ’ s manual. if ...
[ "A)975.5", "B)1250.5", "C)1465.5", "D)1687.5" ]
D
2HL + 2HW = 2LW H = LW / (L+W) Volume = LWH = (LW)^2 / (L+W) = 1687.5 The answer is D.
aquarat_20995
aquarat
<ctx> ) length : 264 km specifications double track main line designed for mixed - use traffic equipped with “ state of the art ” in - cab european signaling system ( etcs level 2 ) standard gauge 32. 5 tonne maximum axle load built to accommodates double stack containers, e. g. in future from jebel ali etihad rail db ...
[ "A)230 m", "B)240 m", "C)260 m", "D)270 m" ]
D
Explanation: Speed = 72*5/18m/sec = 20 m/sec; Time = 26 sec. Let the length of the train be x metres. Then,X+250/26=20 x = 270. ANSWER IS D
medmcqa_6473
medmcqa
<ctx> workstations or visual display terminals in fast - paced, repetitive keystroke jobs. their fingers, wrists, arms, necks, and back may become so weak and painful that they cannot work, " many people do not think about this when they look at their computer while using it. it is important to note that everything dow...
[ "Phlyctenular conjunctivitis", "Choroiditis", "Eales' disease", "Acute Retinal necrosis" ]
B
Phlyctenular conjunctivitis used to be most common manifestation of tuberculosis, but now it is causes by staphylococcus Eales' disease (periphlebitis retinae ) occur in tuberculosis but it is not very common. Acute retinal necrosis occurs in Herpes simplex and varicella infection not in tuberculosis. Choroiditis is by...
aquarat_40808
aquarat
<ctx> that divides the order of is 71, which is the eighth self - convolution of fibonacci numbers ( where 744, which is essential to moonshine theory, is the twelfth ). while only two sporadic groups have eight prime factors in their order ( lyons group and fischer group ), mathieu group holds a semi - presentation wh...
[ "A)1", "B)2", "C)3", "D)4" ]
C
3 triangles can be formed....because we have to take the property that sum of two sides of a triangle should be greater than the third side ANSWER:C
medmcqa_8916
medmcqa
<ctx> oxygenation and removal of carbon dioxide. the left atrium receives newly oxygenated blood from the lungs as well as the pulmonary vein which is passed into the strong left ventricle to be pumped through the aorta to the different organs of the body. pulmonary circulation the pulmonary circulation is the part of ...
[ "Lower limb pulses are barely palpable or absent", "Blood pressure is elevated distal to the lesion and reduced proximal to it", "The condition is twice as common in females as males", "Hypertrophy of the lower ribs may be seen in older children" ]
A
(A) Lower limb pulses are barely palpable or absent> Coarctation of the aorta, or aortic coarctation, is a congenital condition whereby the aorta narrows in the area where the ductus arteriosus (ligamentum arteriosum after regression) inserts.> Coarctation is about twice as common in boys as it is in girls, it s common...
medmcqa_1947
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...
[ "Grathostoma", "Angiostrongylus cantonens", "Clonorchis sinensis", "H. Dimunata" ]
C
In most cases the disease tends to remain low grade and chronic producing only minor symptoms of abdominal distress,intermittent diarrhea and liver pain or tenderness.C.sinensis has been linked to bile duct carcinoma.It is mostly observed in areas where chlonorchiasis is endemic (refer pgno:126 baveja 3 rd edition)
arc_easy_1089
arc_easy
<ctx> spike in estrogen during the follicular phase of the menstrual cycle causes ovulation. the generation of nerve signals is another example, in which the membrane of a nerve fibre causes slight leakage of sodium ions through sodium channels, resulting in a change in the membrane potential, which in turn causes more...
[ "lipids.", "enzymes.", "nucleic acids.", "carbohydrates." ]
B
medmcqa_491
medmcqa
<ctx> - element and non - linear windkessel models ). model types modeling of a windkessel windkessel physiology remains a relevant yet dated description of important clinical interest. the historic mathematical definition of systole and diastole in the model are obviously not novel but are here elementally staged to f...
[ "2cm", "2.5cm", "3cm", "4cm" ]
D
ValveDiameter of OrificePulmonary2.5cmAoic2.5cmMitral3cmTricuspid4cmRef: BD Chaurasia; Volume 1; 6th edition; Table 18.1
medmcqa_4543
medmcqa
<ctx> in 2010. the program called for a much lighter version of the m240, while keeping the same familiar open bolt design that the machine gun is world - renowned for. this was formally known as the m240b weight reduction program, or the m240e6. the results of that solicitation ended with the adoption of the m240l by ...
[ "10 years", "8 years", "4 years", "5 years" ]
A
Ans. is 'a' i.e., 10 years o The longest life span is of CuT380A: 10 years.IUDsLife spanFirst generation:Lippe's loop (obsolete)--Second generationCopper-T--CuT-200-B4 yrCuT-2003yrCuT-220C--Nova-T5 yrMultiload - 2503 yr3755 yrCuT-3 80A10 yrThird generationProgestasert1 yrLNG-20 (Mirena)5 yr (Ref: Novak p263; Note that ...
pubmedqa_311
pubmedqa
<ctx> available to individuals at risk of developing the condition. having the genetic information of other members of the family opens the door to asking important questions about the pattern of inheritance of specific disease ‐ causing mutations. whilst there is a wealth of literature that describes how families comm...
[ "yes", "no", "maybe" ]
B
medmcqa_4850
medmcqa
<ctx> – 86. stevenson, m. h., & unsworth, e. f. ( 1978 ). studies on the absorption of calcium, phosphorus, magnesium, copper and zinc by sheep fed on roughage - cereal diets. british journal of nutrition, 40 ( 3 ), 491 – 496. stewart, e. m., & stevenson, m. h. ( 1997 ). identification of irradiated norway lobster ( ne...
[ "Sickle cell anemia", "Multiple myeloma", "Polycythemia vera", "Thalassemia" ]
B
Ans. is 'b' i.e., Multiple myelomaFactors affecting ESR 1. Plasmao RBCs carry a negative electric charge, whereas plasma carries a postive charge.o Any condition in plasma that increases its positive charge, increases rouleaux formation and increases ESR by lengthening stage I.o Following factors increase positive char...
medmcqa_2085
medmcqa
<ctx> 17. 6 • hearing 755 figure 17. 39 shows the middle and inner ear in greater detail. pressure waves moving through the cochlea cause the tectorial membrane to vibrate, rubbing cilia ( called hair cells ), which stimulate nerves that send electrical signals to the brain. the membrane resonates at different position...
[ "IX", "VI", "VIII", "X" ]
C
As the eighth nerve schwannoma grows, it extends into the posterior fossa to occupy the angle between the cerebellum and pons (cerebellopontine angle). In this lateral position, it is so situated as to compress the seventh, fifth, and less often the ninth and tenth cranial nerves, which are implicated in various combin...
medmcqa_5985
medmcqa
<ctx> . the entire chewing organ is known as aristotle's lantern from aristotle's description in his history of animals ( translated by d'arcy thompson ) : however, this has recently been proven to be a mistranslation. aristotle's lantern is actually referring to the whole shape of sea urchins, which look like the anci...
[ "Ulnar artery", "Radial artery", "Median nerve", "Radial nerve" ]
B
Ans. B Radial arteryRef: BDC, 6th ed. vol. I pg. 122; Gray's 41st ed. pg. 790* The anatomical snuffbox is formed by the tendons of extensor polloicis longus and brevis, and abductor pollicis longus.* It has the radial artery running in the floor of the snuffbox, and the radial nerve passing to the dorsum of the hand.* ...
arc_challenge_807
arc_challenge
<ctx> island ecology is the study of island organisms and their interactions with each other and the environment. islands account for nearly 1 / 6 of earth ’ s total land area, yet the ecology of island ecosystems is vastly different from that of mainland communities. their isolation and high availability of empty nich...
[ "There are more prey than predators.", "The food web is more stable and lasting.", "Organisms often must compete for food.", "Plant populations are the primary producers." ]
B
aquarat_36569
aquarat
<ctx> in mathematics, the remainder is the amount " left over " after performing some computation. in arithmetic, the remainder is the integer " left over " after dividing one integer by another to produce an integer quotient ( integer division ). in algebra of polynomials, the remainder is the polynomial " left over "...
[ "A)195", "B)196", "C)197", "D)198" ]
C
According to the division process of whole numbers, N can be written, using multiplication, as follows N = quotient × divisor + remainder = 15 × 13 + 2 = 197 correct answer is C)197
medmcqa_7442
medmcqa
<ctx> in mathematics, a super vector space is a - graded vector space, that is, a vector space over a field with a given decomposition of subspaces of grade and grade. the study of super vector spaces and their generalizations is sometimes called super linear algebra. these objects find their principal application in t...
[ "They bind to the cleft of the MHC", "Needs to processed before presentation", "They are presented by APC' S to T cells", "Directly attached to lateral aspect of TCR B chain" ]
D
A group of antigens have been termed superantigens because they stimulate a much larger number of T cells than would be predicted based on the specificity of combining site diversity. This causes a massive cytokine release. The action of superantigens is based on their ability to bind directly to MHC proteins and to pa...
medmcqa_8612
medmcqa
<ctx> benefit the economy. weather forecasts ( figure 9. 7 ) are the result of thousands of measurements of air pressure, temperature, and the like, which are compiled, modeled, and analyzed in weather centers worldwide. chemistry in everyday life measuring blood pressure blood pressure is measured using a device calle...
[ "Cuff width should be 40% of arm circumference", "Diastolic blood pressure is indicated by fouh Korotkoff sound", "Small cuff measures spuriously elevated Diastolic blood pressure", "Monkenberg sclerosis causes pseudohypeension" ]
B
Diastolic blood pressure is indicated by fouh Korotkoff sound According to American Hea Association- onset of phase I Korotkoff s sound corresponds to systolic pressure and the disappearance of sounds (phase V) corresponds to diastolic pressure . More points about measuring blood pressure The standard technique for blo...
aquarat_36734
aquarat
<ctx> list of elements is this : ( ( 3, 8, 0 ), ( 2, 8, 1 ), ( 4, 8, 1 ) ) after 2 turns : ( ( 3, 8, 0 ), ( 2, 8, 1 ), ( 4, 8, 1 ), ( 1, 8, 2 ), ( 4, 7, 2 ) ) after 3 turns : (... ( 1, 7, 3 ), ( 4, 6, 3 ), ( 5, 7, 3 ) ) after 4 turns : (... ( 1, 6, 4 ), ( 3, 6, 4 ), ( 6, 7, 4 ) ) after 5 turns : (... ( 1, 5, 5 ), ( 3, ...
[ "A)71/23", "B)81/13", "C)81/29", "D)17/29" ]
D
The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes. So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes. The event of not hitting the target even once is the compleme...
arc_easy_2222
arc_easy
<ctx> 14. 3 relative strengths of acids and bases 26. explain why the neutralization reaction of a strong acid and a weak base gives a weakly acidic solution. 27. explain why the neutralization reaction of a weak acid and a strong base gives a weakly basic solution. 28. use this list of important industrial compounds (...
[ "wear nose plugs", "put on safety goggles", "put away all lab supplies", "wear heavy cloth gloves" ]
B
aquarat_5209
aquarat
<ctx> ( pi ( ( 6 * l + 1 ) / ( 6 * k ) ) ) 150 next 160'to get a ( k, n ), multiply c by sqrt ( k / 3 ) 170 u = exp ( mu / k ) 180 r = ( mu + k ) / u :'rademacher's convergence term 190 s + = ( ( mu - k ) * u + r ) * c 200 next 210 s = round ( abs ( s * 2 / ( mu * ( 24 * n - 1 ) ) ) ) 220 print cutspc ( str ( n ) ) ; 2...
[ "A)200", "B)210", "C)180", "D)190" ]
B
Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210. Answer B
aquarat_33338
aquarat
<ctx> different - parts. svg | thumb | 300px | assume that a task has two independent parts, a and b. part b takes roughly 25 % of the time of the whole computation. by working very hard, one may be able to make this part 5 times faster, but this only reduces the time for the whole computation by a little. in contrast,...
[ "A)88", "B)20", "C)99", "D)18" ]
B
Explanation: C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days Answer:B
openbookqa_1959
openbookqa
<ctx> research on seasonal effects on suicide rates suggests that the prevalence of suicide is greatest during the late spring and early summer months, despite the common belief that suicide rates peak during the cold and dark months of the winter season. general effects the centers for disease control and prevention a...
[ "store", "coma", "differing hemisphere", "different world" ]
C
qasc_2963
qasc
<ctx> supply voltage, the capacitance or mutual inductance between the wires of building wiring systems is typically quite low and incapable of supplying significant amounts of current. however, in overhead transmission work on or near high - voltage lines, safety rules require connecting a conductor to earth ground du...
[ "fire hazard", "similar", "rays or beams", "energy barrier" ]
A
qasc_3541
qasc
<ctx> may experience range - shifts in response to physiologic changes, outcomes are species - specific and not reliable in all organisms. as water temperatures increase, it is organisms that inhibit warmer waters that are positively affected, while cold - water organisms are negatively affected. warmer temperature als...
[ "plants", "starfish", "trout", "planets" ]
A
aquarat_38316
aquarat
<ctx> its greedy expansion if and only if ; the simplest such fraction is. a fraction requires three terms in its greedy expansion if and only if, for then and is odd, so the fraction remaining after a single step of the greedy expansion, is in simplest terms. the simplest fraction with a three - term expansion is. a f...
[ "A)5:8", "B)5:5", "C)5:9", "D)5:3" ]
A
5/8 : 3/2 = 5:8 Answer: A
mmlu_aux_4179
mmlu_auxiliary
<ctx> and entertainment. during training humans communicate their wishes with positive or negative reinforcement. after training is finished the human communicates by giving signals with words, whistles, gestures, body language, etc. apopo has trained southern giant pouched rats to communicate to humans the presence of...
[ "other animals do not have any emotion", "we can communicate with each other through language", "we also use body movements while communicating", "other animals use sounds to give calls to their members" ]
B
null
medmcqa_8539
medmcqa
<ctx> cranberry juice is the liquid juice of the cranberry a fruit recognized for its bright red color, tart taste, and versatility for product manufacturing. major cranberry products include cranberry juice, dried cranberry, cranberry sauce, frozen cranberry, cranberry powder, and dietary supplements containing cranbe...
[ "Grape juice", "Orange juice", "Cranberry juice", "Raspberry juice" ]
C
Cranberry juice Mechanism of prevention of UTI: Proanthocyanidis in cranberry juice prevent bacterial fimbriae from attaching to wall of Urinary Bladder and urinary tract Ref: How cranberry juice can prevent Urinary tract Infections, Science daily, July 21,2008)
aquarat_21938
aquarat
<ctx> two possible triangulations in this example are : the cost of a single triangle in terms of the number of multiplications needed is the product of its vertices. the total cost of a particular triangulation of the polygon is the sum of the costs of all its triangles : ( ab ) c : ( 10×30×5 ) + ( 10×5×60 ) = 1500 + ...
[ "A)19", "B)12", "C)20", "D)21" ]
A
Let the cost of each pen and pencil be 'p' and 'q' respectively. 16m + 8c = 344 --- (1) 4m + 4c = 96 8m + 8c = 192 --- (2) (1) - (2) => 8p = 152 => m = 19 A
mmlu_aux_1678
mmlu_auxiliary
<ctx> , sala e, selkoe ka, stochowicz jj & watson r ( 2006 ) impacts of biodiversity loss on ocean ecosystem services. science 314 : 787 - 790 mcclenachan l, jackson jbc & newman mjh ( 2006 ) conservation implications of historic sea turtle nesting loss. frontiers in ecology and environment 4 : 290 - 296 jackson jbc & ...
[ "It threatens the sandy beaches on which they lay eggs.", "The changing climate makes it difficult for their eggs to hatch.", "The rising sea levels make it harder for their hatchlings to grow.", "It takes them longer to adapt to the high beach temperature." ]
A
null
openbookqa_2766
openbookqa
<ctx> service and placed certain suburbs and areas under the control of the rural fire service and fire brigade. in the five hours following the storm striking sydney, the state emergency service received 2, 000 emergency calls to 1, 092 separate incidents. in total, the state emergency service received 25, 301 calls f...
[ "drinking water will be in short supply", "ponds may dry out", "creek beds may be spilling over", "flowers will wilt and wither" ]
C
mmlu_aux_8057
mmlu_auxiliary
<ctx> ). the buffy fish owl does not produce firm pellets as do most owls. instead, bones, and frog and insect remains are ejected in pieces and fall to the ground below the roost. prey remains have only been found within the nest, never around or below the nest as is commonly recorded in other owls. the buffy fish owl...
[ "vampire bats", "flying squirrels", "lesser whitethroats", "coyotes" ]
C
null
aquarat_22658
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)123600 m", "B)141600 m", "C)153600 m", "D)161600 m" ]
C
Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m. 60 Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160. Length = 480 m and Breadth = 320 m. Area = (480 x 320) m2 = 153600 m C
medmcqa_4570
medmcqa
<ctx> 1996 by the cdc. in these guidelines, the use of one of two prevention methods was recommended : either a risk - based approach or a culture - based screening approach. the cdc issued updated guidelines in 2002 ; these guidelines recommended the universal culture - based screening of all pregnant women at 35 – 37...
[ "Physiological anemia", "Pathological anemia", "Thalassemia", "Iron dificiency anemia" ]
A
Ans. is 'a' i.e., Physiological anemia o Physiologic Anemia of InfancyHemoglobin drops to low point at age 6 to 8 weeksErythropoietin nadir drops HemoglobinTerm Infants: Hemoglobin drops to 9-11 g/dlPreterm Infants: Hemoglobin drops to 7-9 g/dlo No work-up or treatment unless Hemoglobin lower than expected Other point ...
aquarat_9322
aquarat
<ctx> of water. strategy b taking a ratio of new intensity to old intensity and using primes for the new quantities, we will find that it depends on the ratio of the areas. all other quantities will cancel. solution b 1. take the ratio of intensities, which yields : 16. 75 16. 76 16. 77 16. 78 16. 79 0. 0758 m in ba2 ...
[ "A)12 liters", "B)32 liters", "C)41 liters", "D)54 liters" ]
D
Milk = 3/5 * 135 = 81 liters Water = 54 liters 81 : (54+P) = 3:4 162 + 3P = 324 => P = 54 54 liters of water are to be added for the ratio become 3:4. Answer:D
mmlu_aux_1606
mmlu_auxiliary
<ctx> 26. 3 color and color vision learning objectives by the end of this section, you will be able to : • explain the simple theory of color vision. • outline the coloring properties of light sources. • describe the retinex theory of color vision. the gift of vision is made richer by the existence of color. objects an...
[ "color1 and its surprising effects", "women being luckier than men", "danger caused by color1 blindness", "color1 blindness" ]
D
null
openbookqa_3061
openbookqa
<ctx> drought deciduous, or drought semi - deciduous plants refers to plants that shed their leaves during periods of drought or in the dry season. this phenomenon is a natural process of plants and is caused due to the limitation of water around the environment where the plant is situated. in the spectrum of botany, d...
[ "they were babies", "Seventeen", "Hot dogs", "botany" ]
A
aquarat_15606
aquarat
<ctx> numbers. for example, let pn be the n - th prime, and for any integer r > 1, define the real number α by the sum then a similar result is that there is a number θ = 1. 3064... ( mills'constant ) with the property that are all prime. there is also a number ω = 1. 9287800... with the property that are all prime. le...
[ "A)1 and 8", "B)2 and 6", "C)0 and 9", "D)3 and 7" ]
D
5n-3 > 12 5n > 15 n > 3 7n-5 < 44 7n < 49 n < 7 So n must be between 3 and 7 3 < n < 7 correct answer D
aquarat_5154
aquarat
<ctx> the investment vehicle that maximizes the profit. hence, conclusion : knowing the direction the market will go ( i. e. having perfect information ) is worth $ 350. discussion : if someone was selling information that guaranteed the accurate prediction of the future market direction, we would want to purchase this...
[ "A)228", "B)384", "C)267", "D)288" ]
B
SP = 800 Profit = 25% CP = (SP)*[100/(100+P)] = 800 * [100/125] = 640 Loss = 40% = 40% of 640 = Rs.256 SP = CP - Loss = 640 - 256 = Rs.384 Answer: B
arc_easy_974
arc_easy
<ctx> is still debated. distortions to the earth's magnetic field cause the phenomenon aurora borealis, commonly called the northern lights. the magnetic field stores energy given by cosmic particles known as solar wind, which causes the magnetic field lines to expand. when the lines contract, they release this energy,...
[ "the ground to bacteria.", "the Sun to plants.", "plants to animals.", "animals to air." ]
B
openbookqa_2493
openbookqa
<ctx> trees and wall trellised ( or self - attaching ) vines can assist in temperate climates. lighting and electrical appliances to minimize total primary energy consumption, passive and active daylighting are the first daytime solutions to employ. for low - light days, non - daylight spaces and nighttime, sustainable...
[ "love", "a flash light", "breathing", "water" ]
B
aquarat_46187
aquarat
<ctx> ##88070331088462855743520880671299302895546822695492968577380 7067958428022008294111984222973260208233693152589211629901686973933487362360 8129660418514569063995282978176790149760521395548532814196534676974259747930 6858645849268328985687423881853632604706175564461719396117318298679820785491 875674946700413680932...
[ "A)-12 number", "B)-14", "C)2", "D)8" ]
A
Explanation : 78 - 14 = 64 64 - 16 = 48 48 - 18 = 30 30 - 20 = 10 10 - 22 = -12 Answer : Option A
openbookqa_175
openbookqa
<ctx> ##s also cannot be banded on their legs because they urinate onto their legs, causing corrosion of the bands into a powdery oxide that sticks to the vulture's leg and injures the bird. dippers are also dangerously handicapped by ringing because the rings induce drag that makes it extremely difficult for them to c...
[ "melt wax", "reflect light", "read books", "stain clothes" ]
B
qasc_6059
qasc
<ctx> , overharvesting, pollution, invasive species, and climate change. invertebrates makes up most of the earth's biodiversity which is why they do not go extinct as fast as other species. marine invertebrates : these species average lifespan is 5 - 10 million years. many marine invertebrates face extinction because ...
[ "predators", "rainfall", "space travel", "flooding" ]
D
medmcqa_6568
medmcqa
<ctx> the icd - 11 is the eleventh revision of the international classification of diseases ( icd ). it replaces the icd - 10 as the global standard for recording health information and causes of death. the icd is developed and annually updated by the world health organization ( who ). development of the icd - 11 start...
[ "Integrated child development services", "Integrated child development scheme", "International child development services", "Indian child development scheme" ]
A
Integrated Child Development Services (ICDS) scheme- Under ICDS scheme, there is an anganwadi worker for every 400-800 population- The beneficiaries include nursing mothers, pregnant women, other women (15-45 years), children below the age of 6 years and adolescent girls.Park 23e pg: 903
openbookqa_2771
openbookqa
<ctx> an underground city is a series of linked subterranean spaces that may provide a defensive refuge ; a place for living, working or shopping ; a transit system ; mausolea ; wine or storage cellars ; cisterns or drainage channels ; or several of these. underground cities may be currently active modern creations or ...
[ "food", "hunters", "dirt", "water" ]
B
arc_challenge_327
arc_challenge
<ctx> 3. 4 • motion in space 279 the object resulting from gravity is equal to the mass of the object times the acceleration resulting from to gravity, or where represents the force from gravity and g represents the acceleration resulting from gravity at earth ’ s surface. the value of g in the english system of measur...
[ "density.", "mass.", "momentum.", "volume." ]
B
pubmedqa_726
pubmedqa
<ctx> limits benefits to the larger world. alternative models like dynamic permission, where patients can modify access in centralized databases, help balance individual control with broader societal good. in any case, consent and permission require ongoing refinement to truly empower patients. alongside consent, robus...
[ "yes", "no", "maybe" ]
A
mmlu_aux_3872
mmlu_auxiliary
<ctx> ##tic storms, and the relationship between the two. some spacecraft with other primary missions have carried auxiliary instruments for solar observation. among the earliest such spacecraft were the applications technology satellite ( ats ) series at geo that were precursors to the modern geostationary operational...
[ "replace the satellite in use", "observe space weather", "study the sun", "take pictures of space" ]
B
null
openbookqa_2630
openbookqa
<ctx> there is a highly diverse and dense number of lizards, birds, snakes, and mice populating the area. roaming outdoor cats can also be attributed to the transmission of harmful diseases like rabies and toxoplasmosis to the native wildlife population. burmese python another example of a destructive introduced invasi...
[ "convert the area into swampland", "experience a sharp increase in available resources", "leave the area in search of a better habitat", "experience a dramatic decrease in population" ]
B
qasc_5294
qasc
<ctx> manifest themselves as changes to the location, amount and composition of sediments. legacy effects are temporally and spatially variable and the resulting sediment have varying spatial extents, accumulation rates and residence times within a river system. for example, removal of beaver dams may initially cause l...
[ "relocation", "the loss of topsoil", "Plant growth is reduced", "to move people" ]
B
aquarat_1602
aquarat
<ctx> these binary operations are straightforward to evaluate. for example, if the probability of an event a is in the interval p ( a ) = a = [ 0. 2, 0. 25 ], and the probability of the event b is in p ( b ) = b = [ 0. 1, 0. 3 ], then the probability of the conjunction is surely in the interval p ( a & b ) = a × b = [ ...
[ "A)1/50", "B)1/30", "C)1/15", "D)1/10" ]
A
P(A and B) = 1/10*1/5 = 1/50 The answer is A.
pubmedqa_984
pubmedqa
<ctx> ##ch, direct measurement of the 3 - dimensional dna lesion distribution induced by energetic charged particles in a mouse model tissue, proc. natl. acad. sci. usa. 112 ( 2015 ) 12396 – 12401. durante m., reppingen n., held kd. immunologically augmented cancer treatment using modern radiotherapy trends mol. med. 1...
[ "yes", "no", "maybe" ]
B
aquarat_28105
aquarat
<ctx> , so that this degree condition will always be valid when this is the remainder ). moreover, q ( x ) and r ( x ) are uniquely determined by these relations. this differs from the euclidean division of integers in that, for the integers, the degree condition is replaced by the bounds on the remainder r ( non - neg...
[ "A)8", "B)2", "C)− 2", "D)− 4" ]
D
We know that given ax^2 + bx + c = 0, Sum of the roots = -b/a and product of the roots = c/a. The roots here are -r and -s. -r - s = -(-2)/1 = r + s = -2 (-r)*(-s) = -15/1 = rs So one of r and s is -5 and the other is 3. So (r - s)/2 could be 4 or -4. Answer (D)
openbookqa_881
openbookqa
<ctx> linked to fibrin in the provisional ecm in order to reach the wound edges. they form connections to the ecm at the wound edges, and they attach to each other and to the wound edges by desmosomes. also, at an adhesion called the fibronexus, actin in the myofibroblast is linked across the cell membrane to molecules...
[ "show for the ladies", "rest and repair itself", "get other muscles out of the way", "stretch out an arm" ]
D
pubmedqa_864
pubmedqa
<ctx> feeling of chest pain. the decision to perform surgery is informed by studies of cabg's efficacy in different patient subgroups, based on the lesions'anatomy or how well the heart is functioning. these results are compared with that of other strategies, most importantly percutaneous coronary intervention ( pci )....
[ "yes", "no", "maybe" ]
B
arc_easy_480
arc_easy
<ctx> 18. 6 • occurrence, preparation, and properties of carbonates 891 instead of the carbonate. alkali metal hydrogen carbonates such as nahco3 and cshco3 form by saturating a solution of the hydroxides with carbon dioxide. the net ionic reaction involves hydroxide ion and carbon dioxide : it is possible to isolate t...
[ "valleys", "ravines", "caverns", "mountains" ]
C
medmcqa_695
medmcqa
<ctx> a preventable cancer but available statistics suggest that between 1500 and 2000 women die from it every year in papua new guinea, and the true number is likely to be much higher. pap smear testing has not been logistically successful in png and toliman researched whether a rapid human papillomavirus ( hpv ) test...
[ "100% Informative", "Detects to change into sarcoma", "Prevents progress of the disease", "Every six months cervical smear in all sexually active women." ]
C
C. i.e. (Prevents progress of the disease) (721- Basic pathology 8th)* PAP smear is highly effective screening tool in the detection of cervical dysplasia and carcinoma and has reduced the incidence of cervical carcinoma* Flow cytometry is used routinely in the classification of leukemias and lymphomas* Pap smear is 90...
aquarat_2181
aquarat
<ctx> )? 11. a student drove to the university from their home and noted that the odometer reading of their car increased by 12. 0 km. the trip took 18. 0 min. ( a ) what was their average speed? ( b ) if the straight - line distance from their home to the university is your other path. 18. you drive in a straight lin...
[ "A)4 miles per hour", "B)6 miles per hour", "C)8 miles per hour", "D)10 miles per hour" ]
B
Recall the formula s = v t, where in this case, s is distance (in miles) traveled at a constant speed of v (miles per hour), for a time of t hours. The rst statement indicates that it usually takes you only 20 minutes to go to school (solve for t in 1 = 3 t and change units) Today, it took you 15 minutes to cover the r...
mmlu_aux_4558
mmlu_auxiliary
<ctx> ) is itself dependent on the thickness, so that the ice growth slows as the ice thickens. likewise, during melt, thinner sea ice melts faster. this leads to different behaviour between multiyear and first year ice. in addition, melt ponds on the ice surface during the melt season lower the albedo such that more s...
[ "The scientists have been observing the Arctic Ocean for many years.", "The scientists have compared the computer programs with observation made by satellites and other instruments.", "The scientists have figured out many numbers with the help of computer.", "The scientists have found that the seawater take i...
B
null
aquarat_31710
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)A)12", "B)B)18", "C)C)24", "D)D)30" ]
C
Explanation: T = 24/60 * 60 = 24 Answer: Option C
aquarat_43475
aquarat
<ctx> < 2465 * 5 x = 4 98 56 y = ( 2460 + x ) * x = 2464 * 4 = 9856 00 00 algorithm terminates : answer = 12. 34 binary numeral system ( base 2 ) this section uses the formalism from the digit - by - digit calculation section above, with the slight variation that we let, with each or. we iterate all, from down to, and ...
[ "A)114", "B)115", "C)116", "D)117" ]
C
1369=114*12+1 1368=114*12 mean 1368 occurs in 114 row and 12 column. so 1369 occur in 115 row and 1st column.as elements are entered sequentially. so p=115 q=1.p+q=116 ANSWER:C
openbookqa_832
openbookqa
<ctx> be automatic, or a special destruction method may be called on the object. in class - based languages with deterministic object lifetime, notably c + +, a destructor is a method called when an instance of a class is deleted, before the memory is deallocated. in c + +, destructors differs from constructors in vari...
[ "temperature", "configuration", "moistness", "elements" ]
B
qasc_1401
qasc
<ctx> space and desired cost of production. switches may be covered with a flexible rubber boot to exclude dirt and moisture and may be backlit for easy location. another common type of switch relies on twisting the head of the light. weapon - mounted lights may have remote switches for convenience in operation. electr...
[ "condensation", "energy", "direct energy", "batteries" ]
D
aquarat_42263
aquarat
<ctx> another shape, the area of the two shapes will be identical. thus rearranging the six green triangles, three blue triangles and three red triangles into a rectangle with width = 3, and height shows that the area of the dodecagon = 3. in general, multiplying half of the circumference of a - gon by its radius yield...
[ "A)5π", "B)10π", "C)15π", "D)20π" ]
D
The diagonal of the rectangle will be the diameter of the circle. and perimeter= 2*pi*r Ans: D
aquarat_35216
aquarat
<ctx> formula till gate 2012 ( and year 2013 - 14 of the 2 - year validity period of gate 2013 score ), the score was calculated using the formula : gate score = where, m = marks obtained by the candidate, a = average of marks of all candidates who appeared in that subject, in that year, with marks less than zero conve...
[ "A)3:4", "B)3:5", "C)6:5", "D)3:6" ]
B
4:5 3:4 ------- 12:15:20 12:20 ------>6:10 3:5 Answer: B
aquarat_20141
aquarat
<ctx> .. 5. length : ; width : ;. 7. 9. ( a ) ( b ) 11. 2 kg 13. ( a ) ( b ) 15. ( a ) ( b ) ( c ) 17. ( a ) 3 ( b ) 3 ( c ) 3 19. ( a ) ( b ) 21. 23. 25. 1575 27. 29. sample answer : heartbeats 31. sample answer : if an average human lifetime is taken to be about 70 years. 33. sample answer : 50 atoms 35. sample answe...
[ "A)27", "B)5", "C)4", "D)9" ]
C
Explanation : Let the largest piece = 3x. Middle = x. Shortest = 3x – 23. or 3x + x + (3x – 23) = 40. or x = 9 or the shortest piece = 3(9) – 23 = 4 Check choices: The shortest piece has to be < 20 cm. 27 is wrong choice. The largest piece is a multiple of 3. Or (23 + Shortest) should be a multiple of 3. Hence ,the ans...