Cheukting/mathqa huggingface dataset:
Question (physics): a can do a piece of work in 4 days . b can do it in 5 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?
Options: a ) 87 days , b ) 20 days , c ) 16 days , d ) 19 days , e ) 36 days
Rationale: "c = 1 / 2 - 1 / 4 - 1 / 5 = 1 / 20 = > 20 days answer : b"
Answer: b
Question (general): what least no . must be subtracted from 10154 so that remaining no . is divisible by 30 ?
Options: a ) 10 , b ) 12 , c ) 14 , d ) 8 , e ) 9
Rationale: "explanation : on dividing 10154 by 30 we get the remainder 14 , so 14 should be subtracted option c"
Answer: c
Question (physics): the length of the bridge , which a train 140 meters long and travelling at 45 km / hr can cross in 30 seconds , is :
Options: a ) 230 , b ) 244 , c ) 245 , d ) 238 , e ) 235
Rationale: "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 140 + x ) / 30 = 25 / 2 = = > 2 ( 140 + x ) = 750 = = > x = 235 m . answer : option e"
Answer: e
Question (gain): the present population of a town is 240 . population increase rate is 10 % p . a . find the population of town after 1 years ?
Options: a ) 100 , b ) 120 , c ) 200 , d ) 220 , e ) 264
Rationale: "p = 240 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 240 * ( 1 + 10 / 100 ) = 240 * ( 11 / 10 ) = 264 answer is e"
Answer: e
Question (general): a batsman makes a score of 74 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ?
Options: a ) 25 , b ) 31 , c ) 26 , d ) 29 , e ) 39
Rationale: "let the average after 17 innings = x total runs scored in 17 innings = 17 x average after 16 innings = ( x - 3 ) total runs scored in 16 innings = 16 ( x - 3 ) total runs scored in 16 innings + 74 = total runs scored in 17 innings = > 16 ( x - 3 ) + 74 = 17 x = > 16 x - 48 + 74 = 17 x = > x = 26 answer is c"
Answer: c
Question (general): a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number q of ways this can be done is :
Options: a ) 122 , b ) 210 , c ) 216 , d ) 217 , e ) 225
Rationale: we should determine which 5 digits from given 6 , would form the 5 digit number divisible by 3 . we have six digits : 0 , 1 , 2 , 3 , 4 , 5 . their sum = 15 . for a number to be divisible by 3 the sum of the digits must be divisible by 3 . as the sum of the six given numbers is 15 ( divisible by 3 ) only 5 digits good to form our 5 digit number would be 15 - 0 = { 1 , 2 , 3 , 4 , 5 } and 15 - 3 = { 0 , 1 , 2 , 4 , 5 } . meaning that no other 5 from given six will total the number divisible by 3 . second step : we have two set of numbers : 1 , 2 , 3 , 4 , 5 and 0 , 1 , 2 , 4 , 5 . how many 5 digit numbers can be formed using these two sets : 1 , 2 , 3 , 4 , 5 - - > 5 ! as any combination of these digits would give us 5 digit number divisible by 3 . 5 ! = 120 . 0 , 1 , 2 , 4 , 5 - - > here we can not use 0 as the first digit , otherwise number wo n ' t be any more 5 digit and become 4 digit . so , desired # would be total combinations 5 ! , minus combinations with 0 as the first digit ( combination of 4 ) 4 ! - - > 5 ! - 4 ! = 4 ! ( 5 - 1 ) = 4 ! * 4 = 96 120 + 96 = 216 = q answer : c .
Answer: c
Question (geometry): the red triangle is equilateral with a side of 23 centimetres . its perimeter is
Options: a ) 68 cm
b ) 69 cm
c ) 70 cm
d ) 71 cm
e ) none
Rationale: solution : all three sides of an equilateral triangle are equal . thus , its perimeter will be 23 × 3 = 69 cm answer b
Answer: b
Question (general): the average height of 35 boys in a class was calculated as 180 cm . it has later found that the height of one of the boys in the class was wrongly written as 156 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) .
Options: a ) 168.58 cm , b ) 158.58 cm , c ) 179.29 cm , d ) 168.58 cm , e ) 178.58 cm
Rationale: "calculated average height of 35 boys = 180 cm . wrong total height of 35 boys = 180 * 35 cm . this was as a result of an actual height of 106 cm being wrongly written as 156 cm . correct total height of 35 boys = 180 * 35 cm - 156 cm + 106 cm = 180 * 35 cm - 156 cm + 106 cm / 35 = 180 cm - 50 / 35 cm = 180 cm - 1.42 cm = 178.58 cm . answer : e"
Answer: e
Question (other): in a group of 100 cars , 37 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
Options: a ) 45 , b ) 47 , c ) 48 , d ) 49 , e ) 53
Rationale: "lets assume ac = 63 ( includesonly ac carsandcars with ac and racing stripes ) lets assume rs ( racing stripes ) > = 51 ( includescars with ac and racing stripesandonly racing stripes ) . now since we want to maximize ( only ac ) we have to see to it thatcars with ac and racing stripesis minimal ( assume 0 ) but since rs > = 51 . . we have to assign atleast 14 tocars with ac and racing stripes . hence ac = 63 - 14 = 49 . the answer is d"
Answer: d
Question (probability): the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability r that the next couple the maitre ' d seats will not order dessert ?
Options: a ) 20 % , b ) 25 % , c ) 40 % , d ) 60 % , e ) 75 %
Rationale: could you use a venn diagram and just go with the number 100 . 60 people order dessert and coffee . . . which is the union of d and c . r = 2 / 10 of d are n ' t in d u c = so 8 / 10 of d are in duc which means = 60 = 8 / 10 d . so d in total = 75 , and 15 d ' s are n ' t in d union c . which means 25 people are in c only + neither . b 25 %
Answer: b
Question (general): john purchased 1365 large bottles at $ 1.89 per bottle and 720 small bottles at $ 1.42 per bottle . what was the approximate average price paid per bottle ?
Options: a ) $ 1.63 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.73 , e ) $ 1.76
Rationale: ( 1365 * 1.89 + 720 * 1.42 ) / ( 1365 + 720 ) = ~ 1.73 option ( d )
Answer: d
Question (physics): a train 100 meters long completely crosses a 300 meters long bridge in 15 seconds . what is the speed of the train is ?
Options: a ) 32 kmph , b ) 96 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph
Rationale: "s = ( 100 + 300 ) / 45 = 400 / 15 * 18 / 5 = 96 answer : b"
Answer: b
Question (general): ( 500 + 200 + 100 ) ã — 4 ã — ( 3 + 4 ) = ?
Options: a ) 52000 , b ) 32400 , c ) 22400 , d ) 22800 , e ) 24200
Rationale: "( 500 + 200 + 100 ) ã — 4 ã — ( 3 + 4 ) = ? or , ? = 800 ã — 4 ã — 7 = 22400 answer c"
Answer: c
Question (physics): jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent e ?
Options: a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %
Rationale: "c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . e = [ ( 2 - 1 ) / 1 ] * 100 % = 100 % . c"
Answer: c
Question (physics): if the wheel is 10 cm then the number of revolutions to cover a distance of 1056 cm is ?
Options: a ) 16.8 , b ) 26 , c ) 14 , d ) 12 , e ) 91
Rationale: "2 * 22 / 7 * 10 * x = 1056 = > x = 16.8 answer : a"
Answer: a
Question (physics): the perimeter of a semi circle is 126 cm then the radius is ?
Options: a ) 22 , b ) 28 , c ) 98 , d ) 24.5 , e ) 13
Rationale: "36 / 7 r = 126 = > r = 24.5 answer : d"
Answer: d
Question (physics): two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 15 kmph . what time will they take to be 50 km apart ?
Options: a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 5 hrs , e ) 6 hrs
Rationale: "to be ( 10 + 15 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 25 * 50 = 2 hrs answer is b"
Answer: b
Question (physics): r is the set of positive even integers less than 101 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?
Options: a ) none , b ) two , c ) four , d ) five , e ) seven
Rationale: "r is the set of positive even integers less than 101 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ? r = 2,4 , 6,8 , 10,12 . . . s = 4,16 , 36,64 . . . numbers : 4 , 16 , 36 , 64 , and 100 are even integers ( less than 101 ) that are in both sets . solution : five answer : d"
Answer: d
Question (physics): a fill pipe can fill 1 / 4 of cistern in 16 minutes in how many minutes , it can fill 3 / 4 of the cistern ?
Options: a ) 48 min , b ) 36 min , c ) 25 min , d ) 30 min , e ) 50 min
Rationale: "1 / 4 of the cistern can fill in 16 min 3 / 4 of the cistern can fill in = 16 * 4 * 3 / 4 = 48 min answer is a"
Answer: a
Question (general): how many three digit numbers e are divisible by 78 or 91 ?
Options: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Rationale: "the answer will be 19 . explanation : 78 = 2 * 3 * 13 now multiples of 78 , 156 . . . . 780 , now 1000 - 780 = 220 only two more muktiples of 78 can exists . so total number of 3 digit multiples of 78 are 9 + 2 = 11 91 = 13 * 7 - - total number of three digit multiples - - 9 no remember we have a common multiples as well - - 13 * 7 * 6 = 91 * 6 = 546 so total number of multiples e - - 11 + 9 - 1 = 19 . hence answer is 19 . b"
Answer: b
Question (geometry): calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 35 % and its breadth is decreased by 21 % ?
Options: a ) 4.65 % increase , b ) 5.65 % increase , c ) 6.65 % increase , d ) 6.65 % decrease , e ) 7.65 % increase
Rationale: "let l and b be 100 each 100 * 100 = 10000 l increase by 35 % = 135 b decrease by 21 % = 79 135 * 79 = 10665 6.65 % increase answer : c"
Answer: c
Question (gain): fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 3 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?
Options: a ) 9 % , b ) 56.6 % , c ) 11 % , d ) 12 % , e ) 15 %
Rationale: "you know that fox jeans costs $ 15 , and pony jeans costs $ 18 , you also know that 3 pairs of fox jeans and 2 pairs of pony jeans were purchased . so 3 ( 15 ) = 45 - fox 2 ( 18 ) = 36 - pony the total discount discount is $ 3 and you are asked to find the percent discount of pony jeans , so 45 ( 18 - x ) / 100 + 36 ( x ) / 100 = 3 or 45 * 18 - 45 * x + 36 * x = 3 * 100 or 9 x = - 3 * 100 + 45 * 18 x = 510 / 9 = 56.6 % b"
Answer: b
Question (gain): a and b began business with rs . 2000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of b .
Options: a ) 240 , b ) 288 , c ) 277 , d ) 455 , e ) 361
Rationale: "( 2 * 8 + 1 * 4 ) : ( 4 * 8 + 5 * 4 ) 5 : 13 13 / 18 * 630 = 455 answer : d"
Answer: d
Question (gain): if 70 % of a number exceeds 28 % of it by 39.9 , then find the number ?
Options: a ) 65 , b ) 67 , c ) 100 , d ) 95 , e ) 33
Rationale: "use the elimination method to find the correct option . of all the options only 95 fits 70 % of 95 = 66.5 28 % of 95 = 26.6 66.5 - 26.6 = 39.9 required number is 95 . answer : d"
Answer: d
Question (general): 40 onions on a scale weigh 7.68 kg . when 5 onions are removed from the scale , the average weight of the 35 onions is 190 grams . what is the average weight ( in grams ) of the 5 onions which were removed ?
Options: a ) 200 , b ) 202 , c ) 204 , d ) 206 , e ) 208
Rationale: "35 * 190 = 6650 . the other 5 onions weigh a total of 1030 grams . the average weight is 1030 / 5 = 206 grams . the answer is d ."
Answer: d
Question (general): evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025
Options: a ) 6819.59775 , b ) 6981.59775 , c ) 6918.59775 , d ) 7113.81775 , e ) 6891.59775
Rationale: "6402.5 640.25 64.025 6.4025 + 0.64025 - - - - - - - - - - - - - - - 7113.81775 answer is d ."
Answer: d
Question (general): mudit ' s age 16 years hence will be thrice his age 4 years ago . find mudit ' s present age ?
Options: a ) 14 , b ) 19 , c ) 27 , d ) 18 , e ) 15
Rationale: explanation : let mudit ' s present age be ' m ' years . m + 16 = 3 ( m - 4 ) = > 2 m = 28 = > m = 14 years . answer : a
Answer: a
Question (gain): the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1540 respectively . what is the rate of interest ?
Options: a ) 2 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 10 %
Rationale: 1540 - 1400 = 140 is the rate of interest on $ 1400 for one year . the rate of interest = ( 100 * 140 ) / ( 1400 ) = 10 % the answer is e .
Answer: e
Question (general): on a certain planet where people usually tend to live for more than a century , the ratio of present ages of father and son is 7 : 4 . 10 years later , the ratio of their ages will be 5 : 3 . what is the sum of their present ages ?
Options: a ) 220 , b ) 200 , c ) 140 , d ) 80 , e ) 60
Rationale: the ratio of present ages of father and son is 7 : 4 , so suppose the present ages are 7 x and 4 x , respectively . 10 years later , the ages of father and son , respectively , shall be 7 x + 10 and 4 x + 10 . the ratio of ages 10 years later is given to be 5 : 3 . this means ( 7 x + 10 ) / ( 4 x + 10 ) = 5 / 3 solving we get x = 20 . so present age of father is 7 x = 140 and present age of son is 4 x = 80 . the sum of present ages is thus 220 . ans a
Answer: a
Question (gain): a certain candy manufacturer reduced the weight of candy bar m by 40 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ?
Options: a ) 66.66 , b ) 62.5 , c ) 58 , d ) 60 , e ) 62
Rationale: "assume 1 oz candy cost $ 1 before . now price remain same $ 1 but weight of candy reduces to 0.6 oz new price of candy = 1 / 0.6 = 1.6666 price increase 66.66 % a"
Answer: a
Question (gain): weights of two friends ram and shyam are in the ratio 1 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?
Options: a ) 19 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none
Rationale: solution : given ratio of ram and shayam ' s weight = 1 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 1 / 5 or , x = 16 % . answer : option d
Answer: d
Question (general): the average of first 20 prime numbers is ?
Options: a ) 9.5 , b ) 8.6 , c ) 9.3 , d ) 9.6 , e ) 9.8
Rationale: "explanation : average = ( 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 / 8 = 77 / 8 = 9.6 ( approx ) answer is d"
Answer: d
Question (general): what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 4 ?
Options: a ) 20 , b ) 24 , c ) 30 , d ) 32 , e ) 48
Rationale: "4 * 1 * 4 - ( - 2 * 1 * 16 ) = 16 + 32 = 48 ans : e"
Answer: e
Question (physics): a train of 35 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?
Options: a ) 6 , b ) 3 , c ) 4 , d ) 9 , e ) 3.6
Rationale: "d = 35 * 60 + 1500 = 3600 m t = 3600 / 60 * 18 / 5 = 216 sec = 3.6 mins answer : e"
Answer: e
Question (general): on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent q of thatbeforejuly 1 last year ?
Options: a ) 90 % , b ) 99 % , c ) 100 % , d ) 101 % , e ) 110 %
Rationale: "the total number of employees = n the average salary = x total salary to all emplyoees = xn after the total number of employees = n - 0.1 n = 0.9 n the average salary = x + 10 % of x = 1.1 x total salary to all emplyoees = 0.9 n ( 1.1 x ) total salary after as a % of total salary before q = [ 0.9 n ( 1.1 x ) ] / xn = 0.99 or 99 % = b"
Answer: b
Question (general): the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers
Options: a ) 28,22 , b ) 28,17 , c ) 27,17 , d ) 26,17 , e ) 28,19
Rationale: if two numbers are x , y x - y = 11 - - ( i ) & ( x + y ) / 5 = 9 - - ( ii ) solving ( i ) & ( ii ) , x = 28 , y = 17 answer : b
Answer: b
Question (general): a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 18000 left with him . find salary . .
Options: a ) $ 10800 , b ) $ 18000 , c ) $ 180000 , d ) $ 1800 , e ) none
Rationale: "[ 1 / ( x 1 / y 1 + x 2 / y 2 + x 3 / y 3 ) ] * total amount = balance amount [ 1 - ( 1 / 5 + 1 / 10 + 3 / 5 ) } * total salary = $ 18000 , = [ 1 - 9 / 10 ] * total salary = $ 18000 , total salary = $ 18000 * 10 = $ 180000 , correct answer ( c )"
Answer: c
Question (general): bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 12 left in his pocket . what was the value of n ?
Options: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68
Rationale: "started to test answer b if he had 44 , then he spent 11 at hardware store now he was left with 33 $ he spent 9 dollars on cleaning , thus he remained with 24 $ he then spent 1 / 2 of 24 , or 12 , and was left with 12 . hence , the only option that can be right is b"
Answer: b
Question (physics): if the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is ?
Options: a ) 22 , b ) 28 , c ) 17 , d ) 12 , e ) 40
Rationale: "2 * 22 / 7 * 14 * x = 3520 = > x = 40 answer : e"
Answer: e
Question (gain): what will be the compound interest on a sum of rs . 15000 after 3 years at the rate of 12 % p . a . ?
Options: a ) s . 10123.22 , b ) s . 5823.20 , c ) s . 9123.20 , d ) s . 7256.20 , e ) s . 6073.92
Rationale: "explanation : amount = [ 15000 * ( 1 + 12 / 100 ) 3 ] = 15000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 35123.20 c . i . = ( 35123.20 - 15000 ) = rs . 6073.92 answer : e"
Answer: e
Question (general): if 13 = 13 w / ( 1 - w ) , then ( w ) 2 =
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 3
Rationale: 13 - 13 w = 13 w 26 w = 13 w = 1 / 2 2 w * 2 = 1 / 2 * 2 = 1 answer : c
Answer: c
Question (general): on dividing 15968 by a certain number , the quotient is 89 and the remainder is 37 . find the divisor .
Options: a ) 170 , b ) 179 , c ) 37 , d ) 67 , e ) 32
Rationale: "divisor = ( dividend – remainder / quotient ) = ( 15968 - 37 ) / 89 = 179 answer b 179"
Answer: b
Question (general): 58 , 52 , 46 , 40 , 34 , . . . ?
Options: a ) 20 , b ) 22 , c ) 28 , d ) 27 , e ) 32
Rationale: "each number is 6 less than the previous number . 58 - 6 = 52 52 - 6 = 46 46 - 6 = 40 40 - 6 = 34 34 - 6 = 28 answer : c"
Answer: c
Question (probability): if a coin is flipped , the probability that the coin will land tails is 1 / 2 . if the coin is flipped 4 times , what is the probability that it will land tails up on the first 2 flips and not on the last 2 flips ?
Options: a ) 1 / 4 , b ) 1 / 8 , c ) 1 / 2 , d ) 1 / 16 , e ) 1 / 32
Rationale: ( 1 / 2 ) * ( 1 / 2 ) * ( 1 / 2 ) * ( 1 / 2 ) = 1 / 16 answer : d
Answer: d
Question (gain): if rs . 460 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?
Options: a ) rs . 575 , b ) rs . 595 , c ) rs . 590 , d ) rs . 580 , e ) rs . 585
Rationale: "80 = ( 460 * 4 * r ) / 100 r = 4.34 % i = ( 460 * 6 * 4.34 ) / 100 = 120 460 + 120 = 580 answer : d"
Answer: d
Question (physics): a train passes a station platform in 50 sec and a man standing on the platform in 15 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
Options: a ) 227 , b ) 500 , c ) 550 , d ) 525 , e ) 171
Rationale: "speed = 54 * 5 / 18 = 15 m / sec . length of the train = 15 * 15 = 225 m . let the length of the platform be x m . then , ( x + 225 ) / 50 = 15 = > x = 525 m . answer : d"
Answer: d
Question (general): a trained covered x km at 70 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .
Options: a ) 22.25 , b ) 99 , c ) 26.25 , d ) 66 , e ) 887
Rationale: "total time taken = x / 70 + 2 x / 20 hours = 4 x / 35 hours average speed = 3 x / ( 4 x / 35 ) = 26.25 kmph answer : c"
Answer: c
Question (geometry): a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :
Options: a ) 3348 , b ) 3898 , c ) 1200 , d ) 2881 , e ) 7881
Rationale: answer : c ) 1200
Answer: c
Question (other): a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 420 kilograms of pears that day , how many kilograms did he sell in the afternoon ?
Options: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320
Rationale: "3 x = 420 x = 140 therefore , the salesman sold 140 kg in the morning and 2 ⋅ 140 = 280 kg in the afternoon . so answer is d ."
Answer: d
Question (physics): the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1000 per sq . metre .
Options: a ) rs . 15000 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 20625 , e ) none of these
Rationale: solution area of the floor = ( 5.5 × 3.75 ) m 2 = 20.625 m 2 ∴ cost of paving = rs . ( 1000 × 20.625 ) = 20625 . answer d
Answer: d
Question (other): the probability that a can solve the problem is 2 / 3 and b can solve it is 3 / 4 . if both of them attemp the problem , then what is the probability that the problem get solved ?
Options: a ) 9 / 12 , b ) 10 / 12 , c ) 11 / 12 , d ) 1 , e ) 2
Rationale: explanation : the event is defined as : a solves the problem and b does not solve the problem or a does n ' t solve the problem and b solves the problem or a solves the problem and b solves the problem numerically this is equivalent to : ( 2 / 3 ) x ( 1 / 4 ) + ( 1 / 3 ) x ( 3 / 4 ) + ( 2 / 3 ) x ( 3 / 4 ) = 11 / 12 answer : c
Answer: c
Question (physics): a and b finish the job in 15 days . while a , b and c can finish it in 11 days . c alone will finish the job in
Options: a ) 41.25 days , b ) 30.25 days , c ) 60.25 days , d ) 71.25 days , e ) 51.25 days
Rationale: explanation : 11 = ( 15 * x ) / ( 15 + x ) 165 + 11 x = 15 x 4 x = 165 x = 41.25 answer : option a
Answer: a
Question (physics): on a map , 1 inch represents 28 miles . how many x xxinches would be necessary to represent a distance of 383.6 miles ?
Options: a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7
Rationale: "x inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c"
Answer: c
Question (general): tim has 13 10 - dollar bills , 11 5 - dollar bills , and 17 one - dollar bills . if tim needs to pay exactly $ 128 , what is the least number of bills he will need to use ?
Options: a ) 68 , b ) 66 , c ) 565 , d ) 16 , e ) 35
Rationale: 128 is the total sum of money . as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils 128 - 120 = 8 so now we need to get 8 from either 5 dollar bills or 1 dollar bills 8 - 5 ( use only 1 5 dollar bill ) = 3 so we can get 3 from using 3 $ 1 bills . hence 16 ( 12 + 1 + 3 ) answer is d
Answer: d
Question (physics): if in a race of 130 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :
Options: a ) 20 m , b ) 26 m , c ) 11 m , d ) 10 m , e ) 15 m
Rationale: "explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 130 * 5 ) / 25 = 26 m hence , a beats b by 26 m . answer b"
Answer: b