Cheukting/mathqa huggingface dataset:
Question (general): the average weight of 4 person ' s increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ?
Options: a ) 129 kg , b ) 134 kg , c ) 180 kg , d ) 185 kg , e ) 190 kg
Rationale: "total weight increased = ( 4 x 8.5 ) kg = 34 kg . weight of new person = ( 95 + 34 ) kg = 129 kg option a"
Answer: a
Question (gain): the s . i . on a certain sum of money for 2 years at 8 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?
Options: a ) 2197 , b ) 1267 , c ) 1750 , d ) 2267 , e ) 2625
Rationale: "explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 2 * 8 ) = rs . 2625 answer : e"
Answer: e
Question (physics): two trains 120 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
Options: a ) 10.9 , b ) 10.7 , c ) 10.3 , d ) 10.08 , e ) 10.2
Rationale: relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 120 + 160 = 280 m . required time = 280 * 9 / 250 = 252 / 25 = 10.08 sec . ' answer : d
Answer: d
Question (gain): a , b and c start a business each investing 20,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 67,600 was recorded . find the share of b .
Options: a ) 20,000 , b ) 21,200 , c ) 21,600 , d ) 20,500 , e ) none of these
Rationale: "ratio of the capitals of a , b and c = 20000 ã — 6 + 15000 ã — 6 : 20000 ã — 6 + 16000 ã — 6 : 20000 ã — 6 + 26000 ã — 6 = 210000 : 216000 : 250000 = 210 : 216 : 250 b â € ™ s share = ( 67600 ã — 216 â  „ 676 ) = 21600 answer c"
Answer: c
Question (gain): in the first 20 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?
Options: a ) 10.13 , b ) 9.13 , c ) 8.13 , d ) 11.13 , e ) 13.13
Rationale: required run rate = 396 - ( 4.6 x 20 ) / 30 = 304 / 30 = 10.13 option a
Answer: a
Question (general): a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ?
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Rationale: "let number of pounds of 5 $ candy to be used be w 6 = ( 10 * 8 + 5 * w ) / ( 10 + w ) = > 60 + 6 w = 80 + 5 w = > w = 20 answer a"
Answer: a
Question (general): a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,800 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
Options: a ) 23 , b ) 55 , c ) 48 , d ) 62 , e ) 70
Rationale: "to get maximum vehicles we must take into consideration the minimum weight i . e 1800 pounds here since , 1 ton = 2000 pounds 50 tons will be 100,000 pounds from the answer choices : let max number of vehicles be total weight will be = 55 * 1800 = 99000 pounds , which is lesser than the maximum weight allowed . ans : b"
Answer: b
Question (gain): if the annual increase in the population of a town is 10 % and the present number of people is 15000 , what will the population be in 2 years ?
Options: a ) 12100 , b ) 15240 , c ) 18150 , d ) 18452 , e ) 19002
Rationale: "the required population is = 15000 ( 1 + 10 / 100 ) ^ 2 = 15000 * 11 / 10 * 11 / 10 = 18150 answer is c"
Answer: c
Question (physics): a plant manager must assign 8 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?
Options: a ) 243 , b ) 336 , c ) 350 , d ) 486 , e ) 540
Rationale: "whatever : my take selecting team of 2 out of 8 to assign to the shifts = 8 c 2 = 28 ways . now 2 out of 8 means total of 4 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 4 * 3 * 2 * 1 = 24 here alt and alt are the same : so 24 / 2 = 12 ways . total ways of selecting = ( selecting 2 out of 8 ) * arranging those teams in shifts = 28 * 12 = 336 ans : b"
Answer: b
Question (general): 1 = 62 = 363 = 3634 = 3645 = 365 , then 36 = ?
Options: a ) 1 , b ) 2 , c ) 345 , d ) 445 , e ) 235
Rationale: 1 = 6,2 = 36,3 = 363,4 = 364,5 = 365 , then 36 = ? 36 = 2 check the second eqn . answer : b
Answer: b
Question (physics): a and b can do a piece of work in 7 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?
Options: a ) 33 days , b ) 77 days , c ) 30 days , d ) 17 days , e ) 18 days
Rationale: "c = 1 / 5 – 1 / 6 = 1 / 30 = > 30 days answer : c"
Answer: c
Question (physics): convert the 13 / 36 m / s into kilometers per hour ?
Options: a ) 2.9 , b ) 2.2 , c ) 1.3 , d ) 1.2 , e ) 1.8
Rationale: 13 / 36 m / s = 13 / 36 * 18 / 5 = 13 / 10 = 1.3 kmph . answer : c
Answer: c
Question (general): a man has some hens and cows . if the number of heads be 100 and the number of feet equals 240 , then the number of cows will be :
Options: a ) 22 , b ) 23 , c ) 24 , d ) 20 , e ) 28
Rationale: "explanation : let the number of hens be x and the number of cows be y . then , x + y = 100 . . . . ( i ) and 2 x + 4 y = 240 x + 2 y = 120 . . . . ( ii ) solving ( i ) and ( ii ) we get : x = 26 , y = 20 . the required answer = 20 . answer : d"
Answer: d
Question (general): find large number from below question the difference of two numbers is 1000 . on dividing the larger number by the smaller , we get 10 as quotient and the 10 as remainder
Options: a ) 1234 , b ) 1110 , c ) 1456 , d ) 1200 , e ) 1600
Rationale: "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1000 = 10 x + 10 9 x = 990 x = 110 large number = 110 + 1000 = 1110 b"
Answer: b
Question (general): the average height of 30 girls out of a class of 40 is 160 cm . and that of the remaining girls is 156 cm . the average height of the whole class is :
Options: a ) 158 cms , b ) 158.5 cms , c ) 159 cms , d ) 159.5 cms , e ) none
Rationale: explanation : average height of the whole class = ( 36 × 160 + 10 × 156 / 40 ) = 159 cms answer c
Answer: c
Question (general): what is the units digit of 16 ^ 83 × 13 ^ 82 × 11 ^ 87 ?
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Rationale: "to find : the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 87 let ' s reduce the clutter and simplify the product ( 7 ^ 83 ) ( 3 ^ 82 ) ( 1 ^ 87 ) 7 has a cyclicity of 4 : the last digit of any positive power of 7 repeats itself after every 4 th power so 7 ^ 5 has the same last digit as 7 ^ 1 , 7 ^ 9 , 7 ^ 13 thus , 7 ^ 83 has the same last digit as 7 ^ 3 , 7 ^ 7 , 7 ^ 11 i . e . 3 3 has a cyclicity of 4 : exactly the same routine as above thus , 3 ^ 82 has the same last digit as 3 ^ 2 , 3 ^ 6 , 3 ^ 10 i . e . 9 any power of 1 will result in 1 as the last digit so , product of our last digits = 3 x 9 x 1 = 27 . . . . last digit is 6 correct option : c"
Answer: c
Question (general): a man owns 1 / 3 of market reserch beauro buzness , and sells 3 / 5 of his shares for 15000 rs , what is the value of buzness ?
Options: a ) 55000 , b ) 75000 , c ) 65000 , d ) 190000 , e ) 250000
Rationale: "if value of business = x total sell ( 2 x / 3 ) ( 3 / 4 ) = 15000 - > x = 75000 answer : b"
Answer: b
Question (general): jaylen was planning to save all summer for a pair of jordan 12 s . they cost $ 250 . jaylen figured that he could cut grass to help with the cost of the sneakers . how many yards would jaylen have to cut if he charges $ 2.15 per yard ?
Options: a ) 116 yards , b ) 226 yards , c ) 97 yards , d ) 115.74 yards , e ) 1 yard
Rationale: d
Answer: d
Question (general): what is the total number of integers between 200 and 500 that are divisible by 25 ?
Options: a ) 20 , b ) 25 , c ) 14 , d ) 15 , e ) 18
Rationale: "125 , 150 , 175 , . . . , 450,475 this is an equally spaced list ; you can use the formula : n = ( largest - smallest ) / ( ' space ' ) + 1 = ( 475 - 125 ) / ( 25 ) + 1 = 350 / 25 + 1 = 14 + 1 = 15 answer is d"
Answer: d
Question (general): at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents 75 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ?
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Rationale: "the q talks of total capacity , normal level , present level , shortage etc . . so it is all about not going wrong in these terms 30 mg = 75 % of total . . total = 30 / . 75 = 40 mg . . normal level = 1 / 2 of 40 = 20 mg . . shortage of normal level = 40 - 20 = 20 mg . . c"
Answer: c
Question (general): matt gets a $ 1000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ?
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Rationale: let , average commission = x no . of items sold = y total commission = xy new commission = xy + 1000 new average = ( xy + 1000 ) / ( y + 1 ) = 150 + x i . e . ( xy + 1000 ) = ( y + 1 ) * ( 150 + x ) i . e . ( xy + 1000 ) = ( xy + x + 150 y + 150 ) i . e . ( 850 ) = ( x + 150 y ) new commission = 250 = 150 + x i . e . x = 100 i . e . y = 5 new sales = y + 1 = 6 answer : option d
Answer: d
Question (gain): the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?
Options: a ) $ 145.89 , b ) $ 138.62 , c ) $ 156.25 , d ) $ 160.23 , e ) $ 158.95
Rationale: "present worth = 169 / ( 1 + 4 / 100 ) ^ 2 = 169 * 25 / 26 * 25 / 26 = $ 156.25 answer is c"
Answer: c
Question (other): an urn contains 10 black and 5 white balls . two balls are drawn from the urn one after the other without replacement . what is the probability that both drawn balls are black ?
Options: a ) 1 / 5 , b ) 3 / 7 , c ) 2 / 5 , d ) 3 / 5 , e ) 2 / 7
Rationale: let e and f denote respectively the events that first and second ball drawn are black . we have to find p ( e n f ) or p ( ef ) . now p ( e ) = p ( black ball in first draw ) = 10 / 15 also given that the first ball drawn is black , i . e . , event e has occurred , now there are 9 black balls and five white balls left in the urn . therefore , the probability that the second ball drawn is black , given that the ball in the first draw is black , is nothing but the conditional probability of f given that e has occurred . that is p ( f | e ) = 9 / 14 by multiplication rule of probability , we have p ( e n f ) = p ( e ) p ( f | e ) = 10 / 15 × 9 / 14 = 3 / 7 b
Answer: b
Question (gain): by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?
Options: a ) 8.25 , b ) 9.25 , c ) 7.25 , d ) 10.25 , e ) 3.25
Rationale: 90 % - - - 11 120 % - - - ? 90 / 120 * 11 = 8.25 answer : a
Answer: a
Question (gain): in the first 10 overs of a cricket game , the run rate was only 4.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Options: a ) 6.25 , b ) 6.5 , c ) 6.75 , d ) 7 , e ) 6
Rationale: "10 overs - run rate = 4.2 runs scored in first 10 overs = 42 remaining overs 40 total runs to be scored = 282 42 runs already scored 282 - 42 = 240 240 runs to be scored in 40 overs let required runrate be x 40 * x = 240 x = 240 / 40 x = 6.0 the required runrate is 6.0 answer : e"
Answer: e
Question (general): average between two sets of numbers is closer to the set withmore numbers ?
Options: a ) 60 , b ) 80 , c ) 98 , d ) 89 , e ) 91
Rationale: if on a test three people answered 90 % of the questions correctly and two people answered 80 % correctly , then the average for the group is not 85 % but rather 3 × 90 + 2 × 805 = 4305 = 86.3 × 90 + 2 × 805 = 4305 = 86 . here , 90 has a weight of 3 = > it occurs 3 times . whereas 80 has a weight of 2 = > it occurs 2 times . so the average is closer to 90 than to 80 as we have just calculated . b
Answer: b
Question (general): crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?
Options: a ) $ 20 , b ) $ 40 , c ) $ 50 , d ) $ 80 , e ) $ 100
Rationale: "deargoodyear 2013 , i ' m happy to help . this is a relatively straightforward problem , not very challenging . btw , crazy eddiewas the actually name of an electronics chain on the east coast of the usa back in the 1970 s . manufacturing now is $ 50 . they now are making a 50 % profit , so the selling price must be $ 100 . they had this same selling price , $ 100 , before they made the change , and had a profit of 50 % , so the manufacturing must have been $ 50 . answer = ( c ) ."
Answer: c
Question (gain): if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2240 less than the principal . what was the principal ?
Options: a ) 1500 , b ) 2500 , c ) 2507 , d ) 2800 , e ) 11500
Rationale: "p - 2240 = ( p * 5 * 4 ) / 100 p = 2800 answer : d"
Answer: d
Question (physics): a jeep takes 9 hours to cover a distance of 480 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?
Options: a ) 48 kmph , b ) 52 kmph , c ) 35 kmph , d ) 63 kmph , e ) 65 kmph
Rationale: time = 9 distance = 480 3 / 2 of 9 hours = 9 * 3 / 2 = 13.5 hours required speed = 480 / 13.5 = 35 kmph c )
Answer: c
Question (general): what is the tens digit of 6 ^ 22 ?
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Rationale: "the tens digit of 6 in integer power starting from 2 ( 6 ^ 1 has no tens digit ) repeats in a pattern of 5 : { 3 , 1 , 9 , 7 , 5 } : the tens digit of 6 ^ 2 = 36 is 3 . the tens digit of 6 ^ 3 = 216 is 1 . the tens digit of 6 ^ 4 = . . . 96 is 9 . the tens digit of 6 ^ 5 = . . . 76 is 7 . the tens digit of 6 ^ 6 = . . . 56 is 5 . the tens digit of 6 ^ 7 = . . . 36 is 3 again . etc . . . 22 has the form 5 n + 2 , so the tens digit of 6 ^ 22 is 3 . the answer is b ."
Answer: b
Question (physics): in one hour , a boat goes 7 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :
Options: a ) 2 , b ) 4 , c ) 6 , d ) 12 , e ) 15
Rationale: "sol . speed in still water = 1 / 2 ( 7 + 5 ) kmph = 6 kmph . answer c"
Answer: c
Question (physics): a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec . what is the length of the platform ?
Options: a ) 389 m , b ) 350 m , c ) 289 m , d ) 299 m , e ) 25 m
Rationale: "speed = 300 / 36 = 25 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 25 / 3 = > x = 25 m . answer : e"
Answer: e
Question (general): a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 15 more than that received by b , find the total amount shared by a , b and c .
Options: a ) $ 250 , b ) $ 340 , c ) $ 640 , d ) $ 440 , e ) $ 540
Rationale: "a = 1 / 3 ( b + c ) = > c = 3 a - b - - - ( 1 ) b = 2 / 7 ( a + c ) = > c = 3.5 b - a - - ( b ) a - b = $ 15 a = 15 + b ( 1 ) = = = > c = 45 + 3 b - b = 2 b + 45 = = > 2 b - c = - 45 - - - ( 3 ) ( 2 ) = = = > c = 3.5 b - b - 15 = 2.5 b - 15 = = > 2.5 b - c = 15 - - - ( 4 ) from ( 4 ) and ( 3 ) 0.5 b = 60 b = $ 120 a = $ 135 c = 405 - 120 = $ 285 total amount = 135 + 120 + 285 = $ 540 answer : e"
Answer: e
Question (physics): the distance between a & b is 1540 km . a person is traveling from a to b at 100 km / hr started at 6 am and another person is traveling from b to a at 120 km / hr and started at same time . then at what time they meet together .
Options: a ) 11 am , b ) 1 pm , c ) 3 pm , d ) 10 am , e ) 9 am
Rationale: "let x hours be they will meet together distance covered by 1 st person + distance covered by 2 nd person = 1540 km 100 x + 120 x = 1540 x = 7 hr they will meet = 6 am + 7 hr = 1 pm answer is b"
Answer: b
Question (general): williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?
Options: a ) 3 / 7 , b ) 5 / 7 , c ) 6 / 7 , d ) 1 / 7 , e ) 4 / 7
Rationale: first notice the number of months for which he worked - march to sept i . e . 7 months avg of monthly totals in tips for months other than august = x tips in august = 8 x total tips for all months = 6 * x + 8 x = 14 x tips for august / total tips for all months = 8 x / 14 x = 4 / 7 answer : e
Answer: e
Question (physics): ajay can ride 50 km in 1 hour . in how many hours he can ride 1000 km ?
Options: a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs
Rationale: "1 hour he ride 50 km he ride 1000 km in = 1000 / 50 * 1 = 20 hours answer is c"
Answer: c
Question (general): 0.0008 ? = 0.02
Options: a ) 40 , b ) 4 , c ) 0.4 , d ) none of these , e ) 0.04
Rationale: "explanation : required answer = 0.0008 / 0.02 = 0.08 / 2 = 0.04 . answer : option e"
Answer: e
Question (gain): if each edge of cube increased by 50 % , the percentage increase in
Options: a ) 100 , b ) 114 , c ) 115 , d ) 125 , e ) 105
Rationale: "100 × ( 150 ) / 100 × ( 150 ) / 100 = 225 = > 125 % answer is d ."
Answer: d
Question (physics): a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 11 hours of the journey .
Options: a ) 342 km , b ) 352 km , c ) 642 km , d ) 440 km , e ) 382 km
Rationale: "the total distance covered by the car in the first 11 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 + 50 = sum of 11 terms in ap whose first term is 30 and last term is 50 = 11 / 2 [ 30 + 50 ] = 440 km . answer : d"
Answer: d
Question (general): a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 80 % of the length of the race ?
Options: a ) 44 % , b ) 48 % , c ) 52 % , d ) 42 % , e ) 87 %
Rationale: "first calculate the distance , b has covered with his speed in the time , in which a reached 20 % of the race . then add the remaining distance as head start for b to win the race . its best to apply ratios concept here . since a ' s speed is 20 / 13 of b , therefore , b ' s speed is 13 / 20 of a distance covered by b = speed x time = ( 13 / 20 ) x ( 0.2 ) = 0.13 % ( which means b would have covered 0.13 of the race length during the time in which a has covered 0.2 of the race length . therefore to win , b needs a headstart of ( 1 - 0.13 = ) 0.87 of the race length . so the answer is e"
Answer: e
Question (general): marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12,000 and the marginal cost is $ 200 , and the total cost is $ 16,000 , what is the value of n ?
Options: a ) 20 , b ) 50 , c ) 60 , d ) 80 , e ) 100
Rationale: total cost for n products = fixed cost for n products + n * marginal cost - - > $ 16,000 = $ 12,000 + n * $ 200 - - > n = 20 . answer : a .
Answer: a
Question (general): the mark up between ` ` normal plan ' ' price and ` ` premium plan ' ' price is 30 percent of the ` ` normal plan ' ' price . the markup is what percent of the ` ` premium plan ' ' price ? ( markup = difference between normal and premium price plans )
Options: a ) 8 % , b ) 20 % , c ) 33 1 / 3 % , d ) 45 % , e ) 56 2 / 3 %
Rationale: a = price for normal plan b = price for premium plan mp = 0.5 a b = a + 0.5 a = 1.5 a hence markup = b - a = 0.5 / 1.5 b = 1 / 3 b . hence mp is 33.33 % of b answer c
Answer: c
Question (gain): 90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 50 % of the total school population of x students , what is x ?
Options: a ) 134 , b ) 150 , c ) 225 , d ) 250 , e ) 500
Rationale: "90 = x / 100 * 50 / 100 * x = > x ^ 2 = 9 * 10000 / 5 = > x = 134 a"
Answer: a
Question (general): paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
Options: a ) 11 / 12 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19
Rationale: "let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
Answer: a
Question (general): the average salary of all the workers in a workshop is rs . 8000 . the average salary of 8 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is :
Options: a ) 22 , b ) 21 , c ) 88 , d ) 37 , e ) 24
Rationale: "explanation : lot the total number of workers be v then , 8 ooov = ( 12000 * 8 ) + 6000 ( v - 8 ) < = > 2000 v = 48000 < = > v = 24 answer : e ) 24"
Answer: e
Question (general): what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?
Options: a ) 70,592 , b ) 64,850 , c ) 64,749 , d ) 149,700 , e ) 156,720
Rationale: "find the number , upon sum of 3 digits of a number gives a reminder 2 when it is divided by 7 seeing the options after dividing an finding the reminder of 2 my answer was a"
Answer: a
Question (physics): a tyre has two punctures . the first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes . if air leaks out at a constant rate , how long does it take both the punctures together to make it flat ?
Options: a ) 315 min , b ) 325 min , c ) 335 min , d ) 345 min , e ) none of these
Rationale: explanation : do not be confused , take this question same as that of work done question ' s . like work done by 1 st puncture in 1 minute and by second in 1 minute . lets solve it : 1 minute work done by both the punctures = ( 19 + 16 ) = ( 518 ) so both punctures will make the type flat in ( 185 ) mins = 335 mins answer : c
Answer: c
Question (general): a sum of money is distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 1000 more than d , what is the b ' s share ?
Options: a ) $ 1000 , b ) $ 2000 , c ) $ 2500 , d ) $ 2850 , e ) $ 2950
Rationale: "let the shares of a , b , c , d are 5 x , 2 x , 4 x , 3 x 4 x - 3 x = 1000 x = 1000 b ' s share = 2 x = $ 2000 answer is b"
Answer: b
Question (gain): alex takes a loan of $ 6,000 to buy a used truck at the rate of 8 % simple interest . calculate the annual interest to be paid for the loan amount .
Options: a ) 680 , b ) 700 , c ) 720 , d ) 480 , e ) 420
Rationale: "from the details given in the problem principle = p = $ 6,000 and r = 8 % or 0.08 expressed as a decimal . as the annual interest is to be calculated , the time period t = 1 . plugging these values in the simple interest formula , i = p x t x r = 6,000 x 1 x 0.08 = 480.00 annual interest to be paid = $ 480 answer : d"
Answer: d