id
string
dataset
string
question
string
options
list
answer
string
explanation
string
openbookqa_3100
openbookqa
<ctx> second liquid crystal square also changes color, and so forth. ( credit : arkrishna, wikimedia commons ) figure 13. 5 fireman jason ormand uses a pyrometer to check the temperature of an aircraft carrier ’ s ventilation system. infrared radiation ( whose emission varies with temperature ) from the vent is measure...
[ "determine if it is airier", "determine if it is windy", "determine the high tide", "determine if it is hotter in the desert" ]
D
mmlu_aux_1674
mmlu_auxiliary
<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...
[ "stay in cool places in the day.", "eat as much as they can in the day", "hunt at night when it is cool", "reduce as many activities as possible" ]
A
null
aquarat_38721
aquarat
<ctx> ##vi, another line recently electrified was the line from seinajoki to vaasa in 2011. the next railway line to be electrified is the railway from turku to uusikaupunki, electrification is scheduled to begin in 2019. running speeds the maximum speed for passenger traffic is, but is achieved only on the kerava – la...
[ "A)338", "B)277", "C)350", "D)881" ]
C
D = 72 * 5/18 = 25 = 500 – 150 = 350 Answer: C
arc_challenge_257
arc_challenge
<ctx> ice is the solid form of water. ice or ice may also refer to : computing and technology ice ( scanning ) ( image correction and enhancement ), for removing surface defects from a scanned photo / image in case of emergency, emergency numbers stored on a mobile or cellular phone ice ( cipher ), a block cipher in cr...
[ "They are all solids.", "They are all liquids.", "They are all minerals.", "They are all elements." ]
A
aquarat_44538
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)2989", "B)2765", "C)5800", "D)2989" ]
C
Total production of salt by the company in that year = 5000 + 5150 + 5300 + .... + 6650 = 70050. Average monthly production of salt for that year = 70050/12 = 5837. Answer:C
medmcqa_7271
medmcqa
<ctx> tourette syndrome or tourette's syndrome ( abbreviated as ts or tourette's ) is a common neurodevelopmental disorder that begins in childhood or adolescence. it is characterized by multiple movement ( motor ) tics and at least one vocal ( phonic ) tic. common tics are blinking, coughing, throat clearing, sniffing...
[ "Hypopyon", "Hyphema", "Subconjuctival hemmorrhage", "Scleritis" ]
A
Hypopyon REF: Khurana 4th ed p. 156 Uveitis in bechet's disease Bilateral Recurrent iridocyclitis Hypopyon Viteritis Periphlebitis Retinitis
aquarat_4010
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)50 m", "B)72 m", "C)80 m", "D)82 m" ]
A
Let the length of each train be x metres. Then, distance covered = 2x metres. Relative speed = (46 - 36) km/hr (10 x (5/18) ) m/s = 25/9 m/s 2x/36 = 25/9 2x=100 x=50 ANSWER:A
arc_challenge_1073
arc_challenge
<ctx> these sometimes have a special theme, such as the one in 2006 that focused on pterosaurs and in 2009 on the mazon creek fossils which includes the tully monster ( tullimonstrum gregarium ). research the museum has conducted fossil digs in many western states. the late cretaceous niobrara formation in kansas has y...
[ "the composition of the Earth.", "patterns of crystal formation.", "physical properties of rocks.", "organisms from long ago." ]
D
medmcqa_9146
medmcqa
<ctx> nuclear mass, away from the periphery. they have round and prickly somata, and numerous dendritic trunks emerge from every direction of the soma. these dendrites have complex branching patterns and spherical dendritic fields. border neurons : the border neurons are concentrated at the boundary of the nuclear lami...
[ "Dentate nuclei", "Emboliform nuclei", "Fastigial nuclei", "Caudate nuclei" ]
D
There are 4 deep nuclei in cerebellum: dentate, globose, emboliform, & fastigial nuclei. Ref: Ganong&;s review of medical physiology; 23rd edition; pg:255
mmlu_aux_7112
mmlu_auxiliary
<ctx> against the opposing force of the air already in the tire. like matter, energy comes in different types. one scheme classifies energy into two types : potential energy, the energy an object has because of its relative position, composition, or condition, and kinetic energy, the energy that an object possesses bec...
[ "computer", "light bulb", "television", "bicycle" ]
D
null
mmlu_aux_2967
mmlu_auxiliary
<ctx> stephen william hawking ( 8 january 1942 – 14 march 2018 ) was an english theoretical physicist, cosmologist, and author who, at the time of his death, was director of research at the centre for theoretical cosmology at the university of cambridge. between 1979 and 2009, he was the lucasian professor of mathemati...
[ "first", "second", "third", "fourth" ]
C
null
aquarat_7828
aquarat
<ctx> immigration due to high economic growth has resulted in ever increasing demand for better transport, putting excessive pressure on the city's existent transport infrastructure. like many other cities in the developing world, the city faces acute transport management problems leading to air pollution, congestion a...
[ "A)11 a.m", "B)10 a.m", "C)77 a.m", "D)55 a.m" ]
B
D = 110 – 20 = 90 RS = 20 + 25 = 45 T = 90/45 = 2 hours 8 a.m. + 2 = 10 a.m. Answer: B
aquarat_15959
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)315", "B)321", "C)330", "D)415" ]
B
a+(a+1)+(a+2)=3a+3=312 (a+3)+(a+4)+(a+5)=(3a+3)+9=312+9=321 Answer: B.
aquarat_27206
aquarat
<ctx> the relative velocity ( also or ) is the velocity of an object or observer b in the rest frame of another object or observer a. classical mechanics in one dimension ( non - relativistic ) we begin with relative motion in the classical, ( or non - relativistic, or the newtonian approximation ) that all speeds are ...
[ "A)100kmph", "B)90kmph", "C)120kmph", "D)117kmph" ]
D
Let the speed of the train be x kmph Speed of the train relative to man = x+3 = (x+3)*5/18 m/sec 300/[(x+3)*5/18] = 9 9(x+3) = 1080 x = 117kmph Answer is D
mmlu_aux_3526
mmlu_auxiliary
<ctx> 11. 7 β€’ archimedes ’ principle 461 example 11. 9 calculating average density : floating woman suppose a 60. 0 - kg woman floats in freshwater with of her volume submerged when her lungs are full of air. what is her average density? strategy we can find the woman ’ s density by solving the equation for the density...
[ "it helps people to be safer in water", "it can help people to swim better", "it can never be trained to get better", "it increases swimming length" ]
B
null
mmlu_aux_2838
mmlu_auxiliary
<ctx> often, the fish species can be identified from distinct morphological characteristics of an isolated otolith. fish otoliths accrete layers of calcium carbonate and gelatinous matrix throughout their lives. the accretion rate varies with growth of the fish – often less growth in winter and more in summer – which r...
[ "Trees gain a growth ring each day.", "Trees also have otoliths.", "Their growth rings are very small.", "They both have growth rings." ]
D
null
arc_easy_1427
arc_easy
<ctx> in time series data, seasonality is the presence of variations that occur at specific regular intervals less than a year, such as weekly, monthly, or quarterly. seasonality may be caused by various factors, such as weather, vacation, and holidays and consists of periodic, repetitive, and generally regular and pre...
[ "Earth's tilt on its axis", "the Sun's tilt on its axis", "Earth spinning on its axis", "the Sun spinning on its axis" ]
A
medmcqa_5019
medmcqa
<ctx> diagnosis of lung cancer, computed tomography with special three - dimensional cad systems are established and considered as appropriate second opinions. at this a volumetric dataset with up to 3, 000 single images is prepared and analyzed. round lesions ( lung cancer, metastases and benign changes ) from 1 mm ar...
[ "Adenocarcinoma of lung", "Squamous cell carcinoma", "Small cell carcinoma", "Neuroendocrine tumor of lung" ]
A
Ref:Textbook of pathology (Harsh mohan) 6th edition,page no.500 Adenocarcinoma, also called peripheral carcinoma due to its location and scar carcinoma due to its association with areas of chronic scarring, is the most common bronchogenic carcinoma in women and isslow-growing.Recent estimates on adenocarcinoma place th...
mmlu_aux_2016
mmlu_auxiliary
<ctx> ##back whales or bottlenose dolphins. vocalization north atlantic right whales recordings are available online. many effective automated methods, such as signal processing, data mining, and machine learning techniques are used to detect and classify their calls. reproduction north atlantic right whales are promis...
[ "always swim under the ocean", "find food to supply their energy", "face the colder and colder water", "travel to the lagoons without a break" ]
A
null
medmcqa_7451
medmcqa
<ctx> type of crown to be fitted, there is a minimum preparation thickness. generally, full metal crowns require at least 0. 5mm, whist metal - ceramic and full ceramic crowns require at least 1. 2mm marginal integrity in order for the cast restoration to last in the oral environment and to protect the underlying tooth...
[ "Thermal and polymerization shrinkage of the impression material", "Use of a solid cast with individual stone dies", "Use of an internal layer of soft wax", "Use of resin or electroplated dies" ]
D
aquarat_38044
aquarat
<ctx> points :, where i is the number of grid points inside the polygon and b is the number of boundary points. this result is known as pick's theorem. area in calculus the area between a positive - valued curve and the horizontal axis, measured between two values a and b ( b is defined as the larger of the two values ...
[ "A) 9 % less", "B) 0.7 % less", "C) Equal to each other", "D) 1 % more" ]
B
Wish the question specified that we are talking about corresponding height. Base of A = 13/12 * Base of B Height of A = 11/12 * Height of B Area of A = (1/2) * Base of A * Height of A = 13/12 * 11/12 * Area of B = 143/144 * Area of B Area of A is 0.7% less than the area of B. Answer (B)
mmlu_aux_2430
mmlu_auxiliary
<ctx> extraterrestrial liquid water ( ) is water in its liquid state that naturally occurs outside earth. it is a subject of wide interest because it is recognized as one of the key prerequisites for life as we know it and thus surmised as essential for extraterrestrial life. although many celestial bodies in the solar...
[ "Mars .", "Moon .", "Sun .", "Mars and Moon ." ]
A
null
aquarat_27853
aquarat
<ctx> one die from the remaining dice. both players roll their die ; the player who rolls the higher number wins. if this game is played with a transitive set of dice, it is either fair or biased in favor of the first player, because the first player can always find a die that will not be beaten by any other dice more ...
[ "A)11/16", "B)15/32", "C)14/36", "D)23/48" ]
D
The answer is D Probability of just one enent will be happining So, Probability heads=1/2 Probability number 2 =1/6 Probability picking a spades card =1/4 so, Probability win by getting tails= 1/2*5/6*3/4 = 15/48 Probability win by getting number 6 = 1/2*1/6*3/4 = 3/48 Probability win by picking a spades card =1/2*5/6*...
qasc_857
qasc
<ctx> tectonic plates geology of central america geology of colombia geology of panama geology of the pacific ocean geography of choco department los santos province veraguas province were concentrated in the protocrusts and their derivatives, wherein the radioisotopes increased shallow temperatures while producing no...
[ "San Francisco", "outer space", "atmosphere", "h2o" ]
A
medmcqa_2240
medmcqa
<ctx> disease. archaeological significance dental calculus has been shown to contain well preserved microparticles, dna and protein in archaeological samples. the information these molecules contain can reveal information about the oral microbiome of the host and the presence of pathogens. it is also possible to identi...
[ "Uric acid", "Oxalate", "Cysteine", "Triple phosphate" ]
A
Ans: a (Uric acid) Ref: Bailey and Love, 24th ed, p. 1317Pure uric acid stones are radiolucent and appear in an excretory urogram as filling defects.Uric acid stones if contain calcium, will cast a faint radiological shadow.Examples for radiolucent stones* Uric acid* Dihydroxy adenine* Orotic acid* Xanthine* Allopurino...
arc_challenge_464
arc_challenge
<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...
[ "using cones for spreading seeds", "a successful way to reproduce", "the ability to live in the desert", "thorns to keep away animals" ]
B
medmcqa_3048
medmcqa
<ctx> outpatient surgeries intermittent, noninvasive blood pressure ( nbp ) monitoring is the standard of care. due to the discontinuous character of nbp, dangerous hypotensive episodes might be missed : in women undergoing caesarean section, cnap detected hypotensive phases in 39 % of the cases, whereas only 9 % were ...
[ "decreased right atrial pressure (RAP), low cardiac output (CO), and increased systemic vascular resistance (SVR)", "increased RAP, decreased CO, increased SVR", "increased RAP, decreased CO, decreased SVR", "decreased RAP, increased CO, decreased SVR" ]
B
Cardiogenic shock is characterized by high right atrial pressure (although it can be normal at times), high PA wedge pressure, high systemic vascular resistance, and low cardiac output.
openbookqa_1176
openbookqa
<ctx> ##litz and weiss considered, namely over - investment. their argument runs along the same lines as akerlof's market for lemons. in this setting, prospective buyers of used cars do not know the quality of the car they are thinking of purchasing ; sellers know the value of their own cars. assuming they know the dis...
[ "it endures", "died", "baked it", "ate it" ]
A
openbookqa_2305
openbookqa
<ctx> electric ( al ) devices are devices that functionally rely on electric energy ( ac or dc ) to drive their core parts ( electric motors, transformers, lighting, rechargeable batteries, control electronics ). they can be contrasted with traditional mechanical devices which depend on different power sources like fue...
[ "curling iron", "iron weight", "iron wrench", "potential energy" ]
A
medmcqa_9573
medmcqa
<ctx> at menopause. in some women, the ovaries age faster and the follicle pool diminishes before the age of 40 years. this phenomenon is known as the premature ovarian failure ( pof ) and it is used as the model for the study of the genetics of ovarian aging. the genes such as gdf9 and bmp15 have been identified as th...
[ "Epithelial tumour", "Germ cell tumour", "Metastatic tumour", "Sex cord stromal tumour" ]
B
Below 20 years, 60% ovarian tumours are of germ cell origin and in girls less than 105, 85% tumours are of germ cell origin. Ref: Shaw 15th edition: page; 376.
mmlu_aux_4436
mmlu_auxiliary
<ctx> 1. 4 approximation learning objectives by the end of this section, you will be able to : β€’ make reasonable approximations based on given data. on many occasions, physicists, other scientists, and engineers need to make approximations or β€œ guesstimates ” for a particular quantity. what is the distance to a certain...
[ "the teacher wasn't satisfied with him", "his answer wasn't complete or correct", "the teacher clicln 5t fully understand his answer", "his answer didn't show his knowledge of physics" ]
D
null
pubmedqa_674
pubmedqa
<ctx> counters compressive loads on the tissue. this functional ability is dependent on a high gag / aggrecan concentration being present in the tissue extracellular matrix. in the disc, aggrecan concentrations peak in a person's twenties, and decline thereafter, with aggrecan degradation products slowly accumulating o...
[ "yes", "no", "maybe" ]
A
openbookqa_1281
openbookqa
<ctx> a sun outage, sun transit, or sun fade is an interruption in or distortion of geostationary satellite signals caused by interference ( background noise ) of the sun when it falls directly behind a satellite which an earth station is trying to receive data from or transmit data to. it usually occurs briefly to suc...
[ "Brownies", "Envrionments", "Buildings", "Cars" ]
B
mmlu_aux_4847
mmlu_auxiliary
<ctx> 24. 2 production of electromagnetic waves learning objectives by the end of this section, you will be able to : β€’ describe the electric and magnetic waves as they move out from a source, such as an ac generator. β€’ explain the mathematical relationship between the magnetic field strength and the electrical field s...
[ "you can see a program", "you can hear a program", "a picture will appear", "you can feel the electric current." ]
B
null
medmcqa_4940
medmcqa
<ctx> it then creates fighter cells that attack the parasite / virus ; literally, causing a war within the body. a virus can affect any part of the body causing a wide range of illnesses such as the flu, the common cold, and sexually transmitted diseases. the flu is an airborne virus that travels through tiny droplets ...
[ "Adenovirus 3 and 7", "Adenovirus 11, 21", "Adenovirus 40, 41", "Adenovirus 8, 19" ]
A
Pharyngoconjunctival fever is caused most commonly by serotypes 3 and 7, but serotypes 2, 4 and 14 also, have been documented as etiologic agents. Β Ocular infections caused by Adenovirus - i. Epidemic keratoconjunctivitis β†’ Serotypes 8, 19, 37 ii. Follicular conjunctivitis β†’ Serotypes 3,7 iii. Pharyngoconjunctival f...
aquarat_25416
aquarat
<ctx> 8. 79 8. 80 8. 81 8. 82 . 86 3. 87 3. 88 3. 89 3. 90 3. 91 3. 92 . 4 if the equilibrium concentrations of nitrogen and hydrogen are 4. 26 m and 2. 09 m, respectively. answer : </ctx> The following are multiple choice questions (with answers) about STEM. A ratio between two numbers is 3 : 4 and their L.C.M. i...
[ "A)60", "B)45", "C)21", "D)15" ]
C
Sol. Let the required numbers be 3x and 4x. Then, their L.C.M. is 12x. ∴ 12x = 84⇔ x = 7. Hence, the first number is 21. Answer C
medmcqa_3417
medmcqa
<ctx> , in 1994. mechanism of action an average dairy cow begins her lactation with a moderate daily level of milk production. this daily output increases until, at about 70 days into the lactation, production peaks. from that time until the cow is dry, production slowly decreases. this increase and decrease in product...
[ "0.5 degree Fahrenheit", "1.0 degree Fahrenheit", "0.5 degree Celsius", "1.0 degree Celsius" ]
A
Ans:A.)0.5 degree Fahrenheit. Before ovulation, there is only a small amount of progesterone present in your body and your basal body temperatures (your resting temperatures) are in the lower range. After ovulation, when there is increased progesterone secreted from the corpus luteum, temperatures become elevated. The ...
arc_easy_333
arc_easy
<ctx> ecological succession is the process of change in the species that make up an ecological community over time. the process of succession occurs either after the initial colonization of a newly created habitat, or after a disturbance substantially alters a pre - existing habitat. succession that begins in new habit...
[ "An organism survives a difficult winter.", "The populations in an area remain the same.", "One species replaces another species in an ecosystem.", "Each of several species uses the same amount of resources." ]
D
qasc_108
qasc
<ctx> - finders, " quantitative analysis requires that measurements be made with calibrated echo sounder equipment, having high signal - to - noise ratios. animal sounds sounds used by animals that fall within the scope of bioacoustics include a wide range of frequencies and media, and are often not " sound " in the na...
[ "snort", "death", "reacts", "Injury" ]
A
aquarat_44098
aquarat
<ctx> relatively balanced with 54 % boys and 46 % girls. high school level in pakistan grades 8 to 10 constitute high school education. public sector the total number of students enrolled in public high schools is 1, 500, 749. the 61 % of students are boys and 39 % are girls. overall enrollment decreases sharply at hig...
[ "A)102", "B)115", "C)132", "D)162" ]
D
Boys : Girls 9 : 11 let the boys be 9x and the girls be 11x. Now, 36 more girls are added -------> 9:13(new ratio). so, 9x/(11x+36) =9/13. solving, We get : x=18 so No. of boys in the school are :9x= 9*18= 162 hence (D)
aquarat_6597
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)320", "B)340", "C)360", "D)380" ]
C
Statement of 7th student was wrong. No is not divisible by 7. LCM of 2,3,4,5,6,8,9,10 = 360 ANSWER:C
aquarat_5970
aquarat
<ctx> pays $ 100, or a'bad'job that pays $ 44, with equal probability ( 50 / 50 ). once they accept a job, they will remain in that job for the rest of the ten years. for simplicity, it is assumed that they care only about their monetary earnings, and that they value earnings at different times equally, i. e., the disc...
[ "A)Rs.90", "B)Rs.100", "C)Rs.130", "D)Rs.170" ]
B
9/12 = 3/4 * 900 = 675 650 ------------- 25 1/4 -------- 25 1 --------- ? => Rs.100 B
aquarat_4987
aquarat
<ctx> . 155. 156. 157. use vectors to show that a parallelogram with equal diagonals is a rectangle. 158. use vectors to show that the diagonals of a rhombus are perpendicular. 159. show that is true for any vectors,, and. 160. verify the identity for vectors and for the following problems, the vector is given. a. find...
[ "A)120,50,120,50(angle in deg)", "B)120,30,130,20(angle in deg)", "C)90,90,90,90(angle in deg)", "D)a & c" ]
C
sum of adjacent angles is 180 degrees. ANSWER:C
pubmedqa_892
pubmedqa
<ctx> ., stevens, k. r., puga, f., patel, d. i,... olson, j, s. ( 2012 ). improving the odds through the collaboration success wizard. translational behavioral medicine, 1 – 7. colquhoun, h., leeman, j., michie, s., lokker, c., bragge, p., hempel, s.,... grimshaw, j. ( 2014 ). towards a simplified model of intervention...
[ "yes", "no", "maybe" ]
A
qasc_580
qasc
<ctx> a microbial desalination cell ( mdc ) is a biological electrochemical system that implements the use of electro - active bacteria to power desalination of water in situ, resourcing the natural anode and cathode gradient of the electro - active bacteria and thus creating an internal supercapacitor. available water...
[ "kinetic energy", "Deoxyribonucleicacid", "rays or beams", "harmful substances" ]
A
pubmedqa_496
pubmedqa
<ctx> resonance acoustic resonance spectroscopy references nuclear magnetic resonance spectroscopy ultrasound acoustics to create pictures of the heart and visualize the blood flowing through each of the four heart valves. echocardiography is widely used in an array of patients ranging from those experiencing symptoms...
[ "yes", "no", "maybe" ]
A
arc_easy_921
arc_easy
<ctx> this one, you can see the metal disc that initiates the exothermic precipitation reaction. ( credit : modification of work by science buddies tv / youtube ) another common hand warmer produces heat when it is ripped open, exposing iron and water in the hand warmer to oxygen in the air. one simplified version of t...
[ "condensation", "evaporation", "precipitation", "erosion" ]
B
pubmedqa_896
pubmedqa
<ctx> k. ( 2011 ). mutations in mtfmt underlie a human disorder of formylation causing impaired mitochondrial translation. cell metabolism, 14 ( 3 ), 428 - 434. tucker, e. j., wanschers, b. f., szklarczyk, r., mountford, h. s., wijeyeratne, x. w., van den brand, m. a.,... & thorburn, d. r. ( 2013 ). mutations in the uq...
[ "yes", "no", "maybe" ]
B
aquarat_36231
aquarat
<ctx> heart or diamond ) or a black card ( club or spade ) will be drawn. when a and b are mutually exclusive,. to find the probability of drawing a red card or a club, for example, add together the probability of drawing a red card and the probability of drawing a club. in a standard 52 - card deck, there are twenty -...
[ "A)2/1223", "B)1/122", "C)1/221", "D)3/1253" ]
C
Let s is the sample space. then n(s ) = 52C2 = 1326 E = event of getting 2kings out of 4 n(E) = 4C2 = 6 P(E) = 6/1326 = 1/221 Answer is C
aquarat_5115
aquarat
<ctx> ##shido and zeng presented an algorithm called mark - cut - choose, that can also handle irrational entitlements, but with an unbounded number of cuts. the algorithm of cseh and fleiner can also be adapted to work with irrational entitlements in a finite number of queries. number of required cuts besides the numb...
[ "A)84", "B)86", "C)88", "D)90" ]
A
no of 1st variety of pastry: a no of 2nd variety of pastry: b no of 3rd variety of pastry: c no of 4th variety of pastry: d So, we have a+b+c+d=10 (where a,b,c,d>0) Remember: Number of positive integer solution of x+y+z+... (r terms) = n is (n-1)C(r-1) So, the answer to the question would be (10-1)C(4-1) = 9C3 = 84. AN...
mmlu_aux_8770
mmlu_auxiliary
<ctx> have a low acceleration due to their relatively weak motors. electric vehicles can also use a motor in each wheel hub or next to the wheels ; this is rare but claimed to be safer. electric vehicles that lack an axle, differential, or transmission can have less drivetrain inertia. some direct current motor - equip...
[ "feelings", "digestive tracts", "empty juice", "hairy bodies" ]
C
null
medmcqa_7226
medmcqa
<ctx> tailor catheters for cardiovascular, urological, gastrointestinal, neurovascular, and ophthalmic applications. celiac disease – another way of spelling coeliac disease cell biology – also called cytology, is a branch of biology that studies the structure and function of the cell, which is the basic unit of life. ...
[ "Upper extremity ischemia", "Cerebral infarction", "Exsanguinating hemorrhage", "Mediastinitis" ]
C
Exsanguinating hemorrhage is the predominant risk, because bleeding may not be easily recognized, given that bleeding into the pleural cavity and mediastinum can occur. The abundant collateral blood supply generally protects against upper extremities or cerebrovascular compromise.
medmcqa_9107
medmcqa
<ctx> personal or family history of bipolar disorder. a significant number of ppp cases, however, occur in individuals with no prior history of psychosis. ( for this reason, first - time pregnancy is itself sometimes considered to be a risk factor for ppp. ) a review of pregnancy - related complications demonstrated so...
[ "Multiple endocrine neoplasia I", "Pituitary adenoma", "Adrenocoical adenoma", "Ectopic ACTH producing tumor" ]
D
Harmonies produced by small cell carcinoma ACTH,ADH,CALCITONIN,GONADOTROPIN. Ref Davidson edition23rd pg 601
qasc_655
qasc
<ctx> selection. humans began controlling the offspring of livestock during the agricultural revolution through the mating of high yielding animals. theories from anthropologists suggest that humans began differing relationships with canines during the neolithic age. this is possibly when humans began keeping dogs as p...
[ "breathe", "health", "move", "drink" ]
D
medmcqa_4648
medmcqa
<ctx> of the placenta, allowing gas exchange and the transfer of nutrients to the embryo. waste products from the embryo will diffuse across the placenta. as the syncytiotrophoblast starts to penetrate the uterine wall, the inner cell mass ( embryoblast ) also develops. the inner cell mass is the source of embryonic st...
[ "Not covered by a sac", "Associated with some or complete malrotation of bowel", "A detect in abdominal musculature", "Associated with an umbilicus attached to the abdominal walk musculature." ]
B
aquarat_25874
aquarat
<ctx> of these interest and principal payments must equal the cumulative fixed payments at time t i. e. mat. evaluating the first integral on the right we obtain an expression for i ( t ), the interest paid : unsurprisingly the second integral evaluates to p0 βˆ’ p ( t ) and therefore : the reader may easily verify that ...
[ "A)5%", "B)7%", "C)9%", "D)11%" ]
A
Explanation: The difference of two successive amounts must be the simple interest in 1 year on the lower amount of money. S.I = 18522/- - 17640/- = Rs. 882/- Rate of interest = (882/17640) Γ— (100/1) => 8820/1764 = 5% Principal = Amount/(1 + R/100)2 = 17640/(1 + 5/100)2 = 17640/(21/20 Γ— 21/20) = 17640/(1.05 Γ— 1.05) = 17...
mmlu_aux_5183
mmlu_auxiliary
<ctx> ##ctic information. journal of experimental psychology, general, 122, 184 - 194. herman, l. m., hovancik, j. r., gory, j. d., bradshaw, g. l. ( 1989 ). generalization of visual matching by a bottlenosed dolphin ( tursiops truncatus ) : evidence for invariance of cognitive performance with visual or auditory mater...
[ "Its mouth.", "Its head.", "A dead fish.", "A little dog." ]
C
null
qasc_6961
qasc
<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...
[ "die", "edible", "expand", "grow" ]
D
qasc_3400
qasc
<ctx> also serve as a growth and reproductive medium for pathogens. in developed countries there are intricate standards for food preparation, whereas in lesser developed countries there are fewer standards and less enforcement of those standards. even so, in the us, in 1999, 5, 000 deaths per year were related to food...
[ "a pathogens", "Room temperature food", "Dehydrated food", "Refrigerated food" ]
B
qasc_4947
qasc
<ctx> is one of the causes. that statistics purporting to link cigarette smoking with the disease could apply with equal force to any one of many other aspects of modern life. indeed, the validity of the statistics themselves is questioned by numerous scientists. the claims made in a frank statement were largely false ...
[ "Pollution", "smoking salmon", "burning", "cigarettes" ]
D
medmcqa_1003
medmcqa
<ctx> to lipids and peptides in sera, detected by microarrays, can be used as markers of the pathological subtype given by brain biopsy. other developments in this area is the finding that some lesions present mitochondrial defects that could distinguish types of lesions. mri phenotypes several studies trying to stabli...
[ "abc", "bcd", "ac", "bd" ]
B
arc_easy_1119
arc_easy
<ctx> when the thermometer ’ s temperature increases, the liquid from the bulb is forced into the narrow tube, producing a large change in the length of the column for a small change in temperature. ( credit : chemical engineer, wikimedia commons ) fully absorbed. the test result of 0. 080 was at 10 : 00. so the one h...
[ "The glass contracts when heated.", "The alcohol contracts when heated.", "The glass expands more than the alcohol when heated.", "The alcohol expands more than the glass when heated." ]
D
aquarat_42469
aquarat
<ctx> a nearly flat rectangle bounded by vertices,,, and, and whose width and height are thereby and ( close enough to ), respectively. then the surface area of the wall is where the integral yields, so that the area of the wall is, and substituting yields. the base of the cylindrical ungula has the surface area of hal...
[ "A)A)3:4", "B)B)2:7", "C)C)2:2", "D)D)2:1" ]
A
The volume of the cone = (1/3)Ο€r2h Only radius (r) and height (h) are varying. Hence, (1/3)Ο€ may be ignored. V1/V2 = r12h1/r22h2 => 1/12 = (1)2h1/(3)2h2 => h1/h2 = 3/4 i.e. h1 : h2 = 3: 4 Answer: A
aquarat_40171
aquarat
<ctx> equal to the present value of $ 1, because holding a portfolio consisting of each arrow security will result in certain payoff of $ 1. consider a raffle where a single ticket wins a prize of all entry fees : if the prize is $ 1, the entry fee will be 1 / number of tickets. for simplicity, we will consider the int...
[ "A)Rs. 45", "B)Rs. 55", "C)Rs. 50", "D)Rs. 60" ]
C
Let the face value of the item is Rs.100 It yields Rs.15 Market value of the stock=(15/30)*100=Rs.50 ANSWER:C
qasc_3537
qasc
<ctx> that scouring will continue to occur until the snow level reaches the second floor. because snow gradually settles over time under its own weight, the foundations of the building were designed to accommodate substantial differential settling over any one wing in any one line or any one column. if differential set...
[ "organisms can die", "organisms can grow", "cloudy and rainy weather", "They may not survive." ]
A
aquarat_21866
aquarat
<ctx> between fixed costs and variable costs. using : sales revenue = pq = price Γ— quantity sold cost of sales = wq = unit cost Γ— quantity sold administration, selling, engineers, personnel etc. = fn = fixed post - manufacturing overheads profit = Ο€ thus the profit can be calculated from : notice that w ( average unit ...
[ "A)$3", "B)$4", "C)$7", "D)$13" ]
D
The key operator that everyone seems to have missed is the average. The average profit of $1428 per day is equivalent to a total profit of $9996 for the whole week. Therefore, the difference between sale price and cost per unit is equal to $9996, which is divisible by all of the answer choices, except for 13. So, D is ...
medmcqa_9934
medmcqa
<ctx> , 1977 : 685 - 98. revised 1983. 10. stossel tp, boxer la. qualitative abnormalities of granulocytes. in : williams wj, beutler e, erslev aj, rundles rw, eds. hematology. new york : mcgraw - hill, 1977 : 756 - 69. revised 1983. 11. stossel tp, taylor m. phagocytosis. in : rose nr, friedman h, eds. manual of clini...
[ "Sepsis", "Myocardial infarction", "Pyogenic osteomyelitis", "Hay fever" ]
D
Acute myocardial infarction ST-elevation (STEMI) is frequently associated with leukocytosis and relative increased in neutrophil count. It is believed that the peripheral leukocyte count have impoant prognostic implication in AMI. In patients with leukocytosis, the possibility of infection always exists, especially wit...
aquarat_37781
aquarat
<ctx> world cup, a 9 - round swiss - system tournament in which every match yields a winner by 12 – 0, 9 – 3, 8 – 4, or 7 – 5 score, depending on whether 0, 1, 2, or 3 tie - breaks generate the winner. the final standings show 82 open players, 39 women. go five wmsg medal events were included in the 2nd games. the chin...
[ "A)10/20", "B)15/20", "C)13/15", "D)17/20" ]
A
Assume 100 total people. 30% of 100 = 30 --->Europeans 1/2 of 30 ---> 15 Americans 1/20 of 100 ---> 5 Africans Now you would add them all up, and minus it by the total (100). 100 - 50= 50. So, 50 people out of 100 are not EU, US or Africans. 50/100 is also equal to 10/20. So therefore, the answer is A.
aquarat_4873
aquarat
<ctx> 9. 46 m / s 26. Γ— 27. equating and, we obtain 29. ( a ) ( b ) this is much, much longer than human time scales. 30. Γ— 32. ( a ) 40 ( b ) 8 million 34. $ 149 36. ( a ) ( b ) 141 s 38. ( a ) 3. 20 s ( b ) 4. 04 s 40. ( a ) Γ— ( b ) 42. identify knowns :,,, identify unknowns : power of the car, force that car applies...
[ "A)6.5", "B)5.5", "C)5.2", "D)4.6" ]
B
35 --- 5 DS = 7 ? ---- 1 20 ---- 5 US = 4 ? ---- 1 M = ? M = (7+ 4)/2 = 5.5 Answer: B
qasc_6061
qasc
<ctx> border security may be an implication of treating migration as a national security issue. it is possible to combine both approaches, taking national concerns into account in accordance with human rights. would - be migrants often need access to social and financial capital. these include support networks in the c...
[ "important habitats", "avoid harsh conditions", "locate less food", "to move people" ]
B
mmlu_aux_7402
mmlu_auxiliary
<ctx> 472, issue, 2195, pp. 20160749. s. z. ali and s. dey ( 2016 ). " hydrodynamics of sediment threshold ". physics of fluids, american institute of physics, vol. 28, no. 7, pp. 075103. s. dey and r. das ( 2012 ). " gravel - bed hydrodynamics : a double - averaging approach ". journal of hydraulic engineering, americ...
[ "they are wet", "they are clear", "they are rough", "they are velvety" ]
D
null
qasc_4145
qasc
<ctx> electric power is the rate at which electrical energy is transferred by an electric circuit. the si unit of power is the watt, one joule per second. standard prefixes apply to watts as with other si units : thousands, millions and billions of watts are called kilowatts, megawatts and gigawatts respectively. a com...
[ "lowered energy cost", "works properly", "get started", "power failure" ]
B
openbookqa_591
openbookqa
<ctx> hindered by much higher cost, confining it mostly to smaller - size bulbs. krypton mixed with xenon, where xenon improves the gas properties further due to its higher atomic weight. its use is however limited by its very high cost. the improvements by using xenon are modest in comparison to its cost. hydrogen, in...
[ "light bulbs get very warm", "filaments are able to freeze", "the filament glows warmly", "the filament catches fire" ]
C
qasc_3563
qasc
<ctx> and water, an increase of 119 million ha since 1990. thus, forest ecological studies are sometimes closely aligned with meteorological and hydrological studies in regional ecosystem or resource planning studies. perhaps more importantly the duff or leaf litter can form a major repository of water storage. when th...
[ "ants", "fish", "carbon", "ferns" ]
C
aquarat_9024
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)0", "B)1", "C)2", "D)3" ]
A
Easier to start with numbers that are of the form 16p+2 ---> 18,34,50,66,82,98. Out of these no number is also of the form 7q+2. Thus 0 is the answer. A is the correct answer.
qasc_1270
qasc
<ctx> the body as the system of interest, we can use the first law to examine heat transfer, doing work, and internal energy in activities ranging from sleep to heavy exercise. what are some of the major characteristics of heat transfer, doing work, and energy in the body? for one, body temperature is normally kept con...
[ "exposure to cold", "depress neuronal excitability", "makes the organism cold", "keeps the organism warm" ]
D
aquarat_43803
aquarat
<ctx> 50 % probability of 3 people sharing a birthday - 88 people ; > 50 % probability of 4 people sharing a birthday - 187 people. probability of a shared birthday ( collision ) the birthday problem can be generalized as follows : given random integers drawn from a discrete uniform distribution with range, what is the...
[ "A)8", "B)13", "C)16", "D)24" ]
B
A intersect B intersect C = 4 A intersect B but not C = 1 B intersect C but not A = 1 C intersec A but not B = 1 A only is 2; B only is 2; C only is 2 Therefore, total 13 members serve on one or more boards of directors. ANSWER:B
mmlu_aux_2764
mmlu_auxiliary
<ctx> , which would otherwise go shooting off into space. if the sun's pull is considered an action, then earth simultaneously exerts a reaction as a gravitational pull on the sun. earth's pull has the same amplitude as the sun but in the opposite direction. since the sun's mass is so much larger than earth's, the sun ...
[ "nine planets", "eight planets", "one star and ten planets", "the earth and the sun" ]
A
null
qasc_488
qasc
<ctx> sign indicates the restoring force is in the direction opposite to the displacement. remains closed or open. an experiment easily performed and often done in physics labs is illustrated in figure 23. 4. an emf is induced in the coil when a bar magnet is pushed in and out of it. emfs of opposite signs are produce...
[ "forces", "voltage", "seats", "brakes" ]
A
mmlu_aux_3675
mmlu_auxiliary
<ctx> at 17 : 00 utc, with landing at 18 : 16 utc. weather was not expected to interfere with landing, with a forecast of high clouds, but no inclement weather. if the second landing opportunity was taken, the shuttle would fly directly over hurricane dean, although it would be well above any effects of the storm. nasa...
[ "One", "Two", "Three", "We have no idea" ]
D
null
openbookqa_2644
openbookqa
<ctx> pollination is the transfer of pollen from an anther of a plant to the stigma of a plant, later enabling fertilisation and the production of seeds, most often by an animal or by wind. pollinating agents can be animals such as insects, birds, and bats ; water ; wind ; and even plants themselves, when self - pollin...
[ "genetically similar thing", "rock", "cloud", "water" ]
A
medmcqa_6753
medmcqa
<ctx> of cvd and 20 cigarettes per day increased the risk of cvd by 6 times. women who smoke face up to a 25 % increased risk of developing cad compared to their male counterparts, with studies showing that reduction in smoking decreased the incidence of cad in women by 13 %. furthermore, second - hand smoking may incr...
[ "Type I", "Type II", "Type III", "Type V" ]
D
The patient most likely has a type V hyperlipoproΒ­teinemia, which is associated with eruptive xanthomas secondary to increased triacylglycerol. Type V hyperliΒ­poproteinemia is a combination of type I, characterized by elevated chylomicrons, and type IV, characterized by increased very-low-density lipoproteins (VLDL). D...
medmcqa_1625
medmcqa
<ctx> temperature chemistry to occur. since dihydrogen is by far the most abundant molecule in the universe, the initial chemistry of these ices is determined by the chemistry of the hydrogen. if the hydrogen is atomic, then the h atoms react with available o, c and n atoms, producing " reduced " species like h2o, ch4,...
[ "Argon", "Carbon dioxide", "Hydrogen", "Methane" ]
A
Atmosphere composition Nitrogen 78% O2 21% Argon 0.9% CO2 0.03%
medmcqa_8369
medmcqa
<ctx> parts in order to reduce weight prior to additive manufacturing. example applications include research into 3d printed medical devices, lattice support structure generation, and research into 3d organs. scanip was used to generate stl files of a man's kidney to help visualize options before a minor procedure at s...
[ "III, IV", "II, III", "I, II", "I, IV" ]
A
Left medial sector contains segment III and IV Left lateral sector contains only one segment II Ref: Sabiston 20th edition Pgno : 1421-1422
aquarat_23392
aquarat
<ctx> : 19 march – 29 may papua : 17 march – 17 april aceh : 20 march – 29 may north sumatra : 31 march – 29 may south kalimantan : 22 march – 29 may large - scale social restrictions specific regions can apply for a request for large - scale social restrictions ( psbb / lssr ) to the ministry of health alongside proof...
[ "A)75%", "B)66,66%", "C)60%", "D)64,5%" ]
B
Explanation : Total days in the month of April = 30 Required percentage = (20/30) Γƒβ€” 100 = 66,66% Answer : Option B
medmcqa_8905
medmcqa
<ctx> able to see human pharmaceuticals that are being detected in the environment which most are typically found on surface water. the importance of ecopharmacovigilance is to monitor adverse effects of pharmaceuticals on humans through environmental exposure. due to this relatively new field of science, researchers a...
[ "2:01", "1:01", "5:01", "4:05" ]
C
5:01
aquarat_36414
aquarat
<ctx> remains unchanged after rotation of 180 degrees about the origin. examples of odd functions are : the sign function the identity function sine hyperbolic sine the error function basic properties uniqueness if a function is both even and odd, it is equal to 0 everywhere it is defined. if a function is odd, the abs...
[ "A)[22]", "B)[44]", "C)[45]", "D)[28]" ]
D
[6]*[3]=(6/2+1)(3*2+1) =[28]. Ans-D
qasc_3658
qasc
<ctx> plant - pollinator interactions leading to major conservation implications within this group. destruction of populations habitat fragmentation has a major impact on animal specie populations because it deprives species of what they are naturally accustomed to. this makes the species isolated, reduces the area whe...
[ "relocation", "changes", "rain", "exposure" ]
B
aquarat_47082
aquarat
<ctx> ##treams of up to 24 telephone calls, along with two special bits : a framing bit ( for frame synchronization ) and a maintenance - signaling bit. t1's maximum data transmission rate is 1. 544 megabits per second. outside of the united states, canada, japan, and south korea, the e - carrier system is used. e - ca...
[ "A)100km/hr", "B)110km/hr", "C)240km/hr", "D)150km/hr" ]
C
Number of gaps between 51 telephone posts = 50 Distance traveled in 1 minute = 50*80 = 4000m = 4km Speed = 60*4=240km/hr Answer is C
aquarat_5208
aquarat
<ctx> . 98 10. 99 10. 100 2. 2 type conversion 1. a. book _ rating was assigned with 3. 5 on line 5 and converted from an integer to a float by the interpreter. book _ rating isn't modified after line 5. 2. a. combining a float and an integer in a calculation produces a float. book _ rating would be assigned with 4. 0...
[ "A)2", "B)3", "C)4", "D)5" ]
B
Solution: B. For 1 pizza 10$. For 2 pizza 10$ +9.6$(4% off)=19.6, For 3 pizza 19.6+9.2(8% off)=28.8, For 4 pizza 28.8+8.8(12% off)=37.6. so he have 37 so he cant eat 4th pizza.
medmcqa_8948
medmcqa
<ctx> micropeptides ( also referred to as microproteins ) are polypeptides with a length of less than 100 - 150 amino acids that are encoded by short open reading frames ( sorfs ). in this respect, they differ from many other active small polypeptides, which are produced through the posttranslational cleavage of larger...
[ "5.8 S", "23 S", "16 S", "18 S" ]
A
The mammalian ribosome has a sedimentation consisting of 80s unitIt has larger 60s subunit and another smaller 40s subunit The larger ribosomal subunit has 28s, 5.8S, and 5S rRNA And small subunit has only 18SrRNA
openbookqa_1195
openbookqa
<ctx> obd codes indicate the location and nature of problems. often obd apps offer additional features such as journey recording, co2 emission calculation, horsepower evaluation, dynamo meter, fuel consumption, and driving time. an alarm feature is usually present as well – such apps alert the driver about speeding, lo...
[ "dead", "bigger", "smaller", "icier" ]
C
mmlu_aux_4070
mmlu_auxiliary
<ctx> ##i's group reported a hybrid cell combining a silicon solar cell with a water - droplet - harvesting triboelectric nanogenerator. this hybrid cell had the capacity to harvest both solar and raindrop energies. harvesting energy from human body motion since there is abundant mechanical energy generated on human bo...
[ "produces power without adding more loads to the walker", "can produce more power in a much shorter time", "needs to be equipped with a battery", "can help the walker walk faster" ]
A
null
aquarat_23888
aquarat
<ctx> are indeed independent. consider the probability of typing the word banana on a typewriter with 50 keys. suppose that the keys are pressed randomly and independently, meaning that each key has an equal chance of being pressed regardless of what keys had been pressed previously. the chance that the first letter ty...
[ "A)1/120", "B)1/235", "C)1/24", "D)1/76" ]
C
Explanation : There are total 4 letters. The probability that P gets the first position is 1/4. The probability that O is in the second position is 1/3. Likewise, probability for C and Y are 1/2 and 1/1. Hence, the required probability is:- => (1/4) x (1/3) x (1/2) x 1. => 1/24. Answer : C
medmcqa_9944
medmcqa
<ctx> : simple squamous ( pavement ) epithelium simple cuboidal epithelium simple columnar epithelium simple ciliated ( pseudostratified ) columnar epithelium simple glandular columnar epithelium stratified non - keratinized squamous epithelium stratified keratinized epithelium stratified transitional epithelium connec...
[ "Blood vessels", "Thyroid follicle", "Esophagus", "Hard palate" ]
A
Squamous epithelium lines theinside of the hea ,where it is called endothelium INDERBIR SINGH&;S TEXT BOOK OF HUMAN HISTOLOGY-REFERENCE page no:41
medmcqa_8464
medmcqa
<ctx> the overall physical effects and facial appearance of dwarfism with premature aging. other features and findings include : intrauterine growth retardation, congenital hip dislocations, winged scapulae ( shoulder blades ), pes planus ( fallen arches ), pseudoepiphyses of the second metacarpals ( upper bone of the ...
[ ">=20 Follicles which are <=9 mm in size in either ovary", "Ovarian Volume <=10 cc", "Necklace of pearl pattern of Follicles", "Thick Ovarian Stroma" ]
B
Cysts arrange around the periphery of ovary giving Necklace of pearl appearance on USG is Characteristic of PCOD Rotterdam PCOS Diagnostic Criteria for PCOS diagnosis : The presence of two of the three criteria is sufficient to diagnosis PCOS: menstrual cycle anomalies (amenorrhea, oligomenorrhea), clinical and/or bioc...
aquarat_2549
aquarat
<ctx> strategy for ( b ) the efficiency can be calculated with since is given and work was found in the first part of this example. solution for ( b ) efficiency is given by :. the work was just found to be, and is given, so the efficiency is 15. 26 15. 27 15. 28 Γ— Γ— 15. 29 15. 30 give the expected number of days. for...
[ "A)14", "B)8", "C)20", "D)10" ]
A
Option D Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x/21 = 6/7 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.
mmlu_aux_4630
mmlu_auxiliary
<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...
[ "Man.", "Plants.", "Animals.", "Air, water, and sunlight." ]
B
null
aquarat_13250
aquarat
<ctx> this list contains selected positive numbers in increasing order, including counts of things, dimensionless quantities and probabilities. each number is given a name in the short scale, which is used in english - speaking countries, as well as a name in the long scale, which is used in some of the countries that ...
[ "A)0", "B)1", "C)6", "D)9" ]
C
Answer: Option C
aquarat_47662
aquarat
<ctx> 1. 20 m / s to the right. refer to figure 3. 43, which shows a boat trying to go straight across the river. let us calculate the magnitude and direction of the boat ’ s velocity relative to an observer on the shore,. the velocity of the boat,, is 0. 75 m / s in the - direction relative to the river and the veloci...
[ "A)1.2 km", "B)1.8 km", "C)2.4 km", "D)3.6 km" ]
D
Solution Speed downstreams =(15 + 3)kmph = 18 kmph. Distance travelled (18 x 12/60)km = 3.6km. Answer D