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{ "label": [ "A", "B", "C", "D" ], "text": [ "600 m 2', '", "540 m 2', '", "680 m 2', '", "574 m 2', '" ] }
[ "A" ]
in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area
in a parallelogram . area = diagonal Γ— length of perpendicular on it . = 30 Γ— 20 = 600 m 2 answer a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "750", "700", "800", "850" ] }
[ "C" ]
in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 320 vote ’ s majority . what is the total number of votes polled ?
"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 320 ( 40 * 8 = 320 ) 100 % - - - - - > 800 ( 100 * 8 = 800 ) answer : option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "380", "350", "332", "310" ] }
[ "C" ]
( 3136 + 6160 ) / 28
"explanation : as per bodmas rule , first we will solve the equation in bracket then we will go for division = ( 9296 ) / 28 = 332 option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "2 / 20", "3 / 20", "4 / 20", "5 / 20" ] }
[ "B" ]
if you spend 1 / 4 of your salary during the first week of the month and 20 % of it during each of the coming 3 weeks , what part ( fraction ) of your salary will leave unspent at the end of the month ?
solution : 1 / 4 + 3 ( 20 / 100 ) = 1 / 4 + 3 / 5 = 5 + 12 / 20 = 17 / 20 the sallary that will be spent = 17 / 20 unspend will be = 1 βˆ’ 17 / 20 = 20 βˆ’ 17 / 20 = 3 / 20 answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "4500", "7500", "5000", "6000" ] }
[ "D" ]
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 15 . find the sum :
"sol . ( d ) let the sum be 100 . therefore , si = 100 Γ— 5 Γ— 2100 = 10100 Γ— 5 Γ— 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 βˆ’ 100100 ( 1 + 5100 ) 2 βˆ’ 100 ∴ = 100 Γ— 21 Γ— 2120 Γ— 20 βˆ’ 100 = 414 = 100 Γ— 21 Γ— 2120 Γ— 20 βˆ’ 100 = 414 difference of ci and si = 41 ⁄ 4 - 10 = 1 ⁄ 4 if the difference is 1 ⁄ 4 , the sum = 100 = > if the difference is 15 , the sum = 400 Γ— 15 = 6000 answer d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "380", "350", "331", "310" ] }
[ "C" ]
( 3108 + 6160 ) / 28
"explanation : as per bodmas rule , first we will solve the equation in bracket then we will go for division = ( 9268 ) / 28 = 331 option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "10 hours", "12 hours", "14 hours", "24 hours" ] }
[ "D" ]
in a river flowing at 2 km / hr , a boat travels 64 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time .
"explanation : speed of the boat = 6 km / hr speed downstream = ( 6 + 2 ) = 8 km / hr speed upstream = ( 6 - 2 ) = 4 km / hr distance travelled downstream = distance travelled upstream = 64 km total time taken = time taken downstream + time taken upstream = ( 64 / 8 ) + ( 64 / 4 ) = = 24 hr . answer : option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "7", "16", "10", "11" ] }
[ "A" ]
define a = the sum of digits of the number 7 ^ 100 and b = the sum of the digits of a . what is the sum of the digits of b ?
following approach will take you only couple of sec . \ ( 7 ^ { 100 } = ( 7 ^ { 50 } ) ^ 2 \ ) the sum of digits ( digital root ) of a perfect square can only be 1 , 4 , 7 or 9 . for example \ ( 7 ^ 2 = 49 \ ) = > dr = 4 + 9 = 13 = > 1 + 3 = 4 and etc . checking available options . answer a .
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "24", "17", "28", "42" ] }
[ "D" ]
two sets of 7 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ?
a = ( 1 , 2,3 , 4,5 , 6,7 ) , sum of this = 28 b = ( 7 , 8,9 , 10,11 , 12,13 ) , sum of this = 70 the differenct between 70 - 28 = 42 hence , 42 is the answer i . e . d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "12541', '", "12542', '", "12544', '", "12545', '" ] }
[ "C" ]
a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ?
explanatory answer the shape of the area used for growing cauliflower has remained a square in both the years . let the side of the square area used for growing cauliflower this year be x ft . therefore , the area of the ground used for cultivation this year = x 2 sq . ft . let the side of the square area used for growing cauliflower last year be y ft . therefore , the area of the ground used for cultivation last year = y 2 sq . ft . as the number of cauliflower grown has increased by 223 , the area would have increased by 223 sq ft because each cauliflower takes 1 sq ft space . hence , x 2 - y 2 = 223 ( x + y ) ( x - y ) = 223 . 223 is a prime number and hence it will have only two factors . i . e . , 223 and 1 . therefore , 223 can be expressed as product of 2 numbers in only way = 223 * 1 i . e . , ( x + y ) ( x - y ) = 223 * 1 so , ( x + y ) should be 223 and ( x - y ) should be 1 . solving the two equations we get x = 112 and y = 111 . therefore , number of cauliflower produced this year = x 2 = 1122 = 12544 . alternative approach : use answer choices the area in both the years are squares of two numbers . that rules out choice a , b and d . as 12541,12542 and 12545 are not the square of any number . check choice c : if this year ' s produce is 12544 , last year ' s produce would have been 12544 - 223 = 12321 12321 is the square of 111 . so , 12544 is the answer . choice c .
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "2 hours", "3 hours", "4 hours", "5 hours" ] }
[ "C" ]
a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 4 km / hr . find the time taken by the boat to go 68 km downstream ?
"solution speed downstream = ( 13 + 4 ) km / hr = 17 km / hr . time taken to travel 68 km downstream = ( 68 / 17 ) hrs = 4 hrs . answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "130", "620", "147", "120" ] }
[ "C" ]
what is the compound interest paid on a sum of rs . 700 for the period of 2 years at 10 % per annum .
"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 700 = 700 * ( 21 / 100 ) = 147 answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "11 , 12,13", "15 , 11,13", "15 , 11.25 , 18.75", "11 , 15.25 , 18.75" ] }
[ "C" ]
a can do piece of work in 15 days and b in 20 days they finished the work with the assistance of c in 5 days and got rs . 45 as their wages find the share for each in wages ?
explanation : a ’ s 1 day work = 1 / 3 b ’ s 1 day work = 1 / 4 c ’ s 1 day work = 1 - 1 / 4 - 1 / 3 = 5 / 12 a ’ s share = 45 * 1 / 3 = 15 b ’ s share = 45 * 1 / 4 = 11.25 c ’ s share = 45 * 5 / 12 = 18.75 answer : option c
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "βˆ’ 220", "βˆ’ 100", "100", "135" ] }
[ "C" ]
if the average ( arithmetic mean ) of a and b is 210 , and the average of b and c is 160 , what is the value of a βˆ’ c ?
"question : a - c = ? ( a + b ) / 2 = 210 = = = > a + b = 420 ( b + c ) / 2 = 160 = = = > b + c = 320 ( a + b ) - ( b + c ) = 420 - 320 = = = > a + b - b - c = 100 = = = > a - c = 100 answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "6", "36", "19", "27" ] }
[ "B" ]
765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns . how many chairs will be excluded to make this arrangement possible ?
27 ( 2 ) < 765 < 28 ( 2 ) ∴ required no . of chairs to be excluded = 765 – 729 = 36 answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "1010", "804", "814", "844" ] }
[ "A" ]
what is the least number of square tiles required to pave the floor of a room 12 m 12 cm long and 1 m 20 cm broad ?
"solution length of largest tile = h . c . f . of 1212 cm & 120 cm = 12 cm . area of each tile = ( 12 x 12 ) cm 2 ∴ required number of tiles = [ 1212 x 120 / 12 x 12 ] = 1010 . answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "3 / 5", "5 / 3", "15", "25" ] }
[ "B" ]
if 2 x = 3 √ 32 , then x is equal to :
"sol . 2 x = 3 √ 32 ⇔ 2 x = ( 32 ) 1 / 3 = ( 25 ) 1 / 3 = 25 / 3 ⇔ x = 5 / 3 . answer b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "40", "54", "45", "50" ] }
[ "D" ]
a worker makes a toy in every 3 h . if he works for 150 h , then how many toys will he make ?
no . of toys = 150 / 3 = 50 answer : d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs 1950", "rs 2000", "rs 745", "rs 765" ] }
[ "A" ]
if an amount of rs 42,900 is distributed equally amongst 22 persons , how much amount would each person get ?
required amount = 42900 / 22 = rs 1950 answer a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "10 hours", "12 hours", "14 hours", "18 hours" ] }
[ "D" ]
in a river flowing at 2 km / hr , a boat travels 48 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time .
"explanation : speed of the boat = 6 km / hr speed downstream = ( 6 + 2 ) = 8 km / hr speed upstream = ( 6 - 2 ) = 4 km / hr distance traveled downstream = distance traveled upstream = 48 km total time taken = time taken downstream + time taken upstream = ( 48 / 8 ) + ( 48 / 4 ) = 18 hr . answer : option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "630", "674", "672", "960" ] }
[ "A" ]
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1500 employees , then the no . of female employees who are computer literate ?
"solution : total employees , = 1500 female employees , 60 % of 1500 . = ( 60 * 1500 ) / 100 = 900 . then male employees , = 600 50 % of male are computer literate , = 300 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1500 ) / 100 = 930 computer literate . thus , female computer literate = 930 - 300 = 630 answer : option a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 21.81", "rs . 12", "rs . 12.25", "rs . 12.31" ] }
[ "A" ]
a fruit seller sells mangoes at the rate of rs . 16 per kg and thereby loses 12 % . at what price per kg , he should have sold them to make a profit of 20 % ?
"solution 88 : 16 = 120 : x x = ( 16 Γ£ β€” 120 / 88 ) = rs . 21.81 hence , s . p per kg = rs . 21.81 answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "400", "525", "750", "850" ] }
[ "C" ]
the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in metres ) is :
"sol . speed = [ 90 * 5 / 18 ] m / sec = 25 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x metres . then , 2 x / 60 = 25 ⇔ x = 25 * 60 / 2 = 750 answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 9000.30", "rs . 9720", "rs . 10123.20", "rs . 10483.20" ] }
[ "C" ]
what will be the compound interest on a sum of rs . 25,000 after 3 years at the rate of 12 p . c . p . a . ?
"explanation : amount = rs . [ 25000 x ( 1 + 12 / 100 ) 3 ] = rs . 35123.20 c . i . = rs . ( 35123.20 - 25000 ) = rs . 10123.20 answer is c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "100", "160", "120", "200" ] }
[ "D" ]
4 - fifths of 3 - eighths of a number is 24 . what is 250 per cent of that number ?
let the number = x . 4 ⁄ 5 Γ— 3 ⁄ 8 x = 24 or x = 24 Γ— 2 Γ— 5 / 3 = 80 ∴ 250 per cent of the number = 250 ⁄ 100 Γ— 80 = 200 answer d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "8163", "8633", "8663", "8636" ] }
[ "B" ]
find the mean proportional between 7921 & 9409 ?
"explanation : formula = √ a Γ— b a = 7921 and b = 9409 √ 7921 Γ— 9409 = 89 Γ— 97 = 8633 answer : option b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "10.8", "18", "25", "30" ] }
[ "D" ]
a train moves with a speed of 108 kmph . its speed in metres per second is
"sol . 108 kmph = [ 108 x 5 / 18 ] m / sec = 30 m / sec . answer d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "75", "81", "71", "79" ] }
[ "D" ]
a , b , c , d and e are ve consecutive odd numbers the sum of a and c is 146 . what is the value of e ?
a + c = 146 β‡’ a + a + 4 = 146 β‡’ a = 146 - 4 / 2 = 71 ∴ e = a + 8 = 71 + 8 = 79 answer d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "4.58 %", "5.96 %", "6.52 %", "4.98 %" ] }
[ "B" ]
at what rate percent on simple interest will rs . 415 amount to rs . 514 in 4 years ?
"explanation : difference in amount = 514 - 415 = 99 99 = ( 415 x 4 x r ) / 100 r = 5.96 % answer is b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "1.6 km", "2 km", "6.3 km", "4 km" ] }
[ "C" ]
the speed of a boat in still water is 21 km / hr and the rate of current is 8 km / hr . the distance travelled downstream in 13 minutes is
"explanation : speed downstreams = ( 21 + 8 ) kmph = 18 kmph . distance travelled = ( 29 x 13 / 60 ) km = 6.3 km option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "34", "40", "85", "88" ] }
[ "C" ]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 650 sq . feet , how many feet of fencing will be required ?
"explanation we have : l = 20 ft and lb = 650 sq . ft . so , b = 32.5 ft . length of fencing = ( l + 2 b ) = ( 20 + 65 ) ft = 85 ft . answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "21.2 kmph", "12.1 kmph", "23.4 kmph", "20.4 kmph" ] }
[ "A" ]
mike took a bus from home to market , that travels at 30 kmph . while walking back at 6 kmph , halfway through , he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph . find the average speed .
let the distance be 2 x ( one way ) time taken by bus = 2 x / 30 , by walking = x / 6 , by cycling = x / 20 hours : . average speed = total distance / total time = 6 x / x / 15 + x / 6 + x / 20 = 6 * 60 / 4 + 10 + 3 = 21.2 answer : a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "26", "27", "46", "57" ] }
[ "B" ]
the sum of 3 consecutive multiples of 3 is 72 . what is the larget number ?
sol . let the numbers be 3 x , 3 x + 3 and 3 x + 6 . then , 3 x + ( 3 x + 3 ) + ( 3 x + 6 ) = 72 ⇔ 9 x = 63 ⇔ x = 7 . ∴ largest number = 3 x + 6 = 27 . answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "30 %", "53 %", "90 %", "100 %" ] }
[ "B" ]
in a restaurant , the profit is 140 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?
"explanation : let c . p . = rs . 100 . then , profit = rs . 140 , s . p . = rs . 240 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 240 . profit = rs . ( 240 - 112 ) = rs . 128 . required percentage = ( 128 / 240 * 100 ) % = 53 % appox answer : b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "120", "160", "132", "130" ] }
[ "A" ]
in an office , totally there are 800 employees and 25 % of the total employees are males . 40 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?
"number of male employees = 800 * 25 / 100 = 200 required number of male employees who are less than 50 years old = 200 * ( 100 - 40 ) % = 200 * 60 / 100 = 120 . answer : a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "8925", "8032.5", "4462.5", "8900" ] }
[ "B" ]
a sum fetched total simple interest of 4016.25 at the rate of 10 p . c . p . a . in 5 years . what is the sum ?
let the sums be p . now , 50 % of p = 4016.25 or , p = 8032.5 answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0.68", "0.6", "0.8", "0.3" ] }
[ "D" ]
( 1.2 ) ( power 3 ) - ( 0.9 ) ( power 3 ) / ( 1.2 ) ( power 2 ) + 1.08 + ( 0.9 ) ( power 2 ) is :
"given expression = ( 1.2 ) ( power 3 ) - ( 0.9 ) ( power 3 ) / ( 1.2 ) ( power 2 ) + ( 1.2 x 0.9 ) + ( 0.9 ) ( power 2 ) = a ( power 3 ) - b ( power 3 ) / a ( power 2 ) + ab + b ( power 2 ) = ( a - b ) = ( 1.2 - 0.9 ) = 0.3 answer is d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "50", "30", "125", "25" ] }
[ "B" ]
if the l . c . m of two numbers is 600 and their product is 18000 , find the h . c . f of the numbers .
"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 18000 / 600 = 30 . answer : b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "9 , 10", "10 , 11", "11 , 12", "12 , 13" ] }
[ "A" ]
the sum of the squares of two consecutive positive integers exceeds their product by 91 . find the integers ?
let the two consecutive positive integers be x and x + 1 x 2 + ( x + 1 ) 2 - x ( x + 1 ) = 91 x 2 + x - 90 = 0 ( x + 10 ) ( x - 9 ) = 0 = > x = - 10 or 9 . as x is positive x = 9 hence the two consecutive positive integers are 9 and 10 . answer : a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 600", "rs . 618", "rs . 525", "rs . 620" ] }
[ "B" ]
find compound interest on rs . 5000 at 12 % per annum for 1 year , compounded half - yearly .
"principal = rs . 5000 , rate = 6 % per half year time = 1 year = 2 half - years amount = rs . { 5000 x ( 1 + 6 / 100 ) 2 ] = rs . [ 5000 x 53 / 50 x 53 / 50 ] = rs . 5618 c . i . = rs . ( 5618 – 5000 ) = rs . 618 answer b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "1 / 16", "1 / 19", "1 / 4", "1 / 3" ] }
[ "B" ]
a consignment of 20 picture tubes contains 5 defectives . two tubes are selected one after the other at random . the probability that both are defective assuming that the first tube is not replaced before drawing the second , would be :
probability of drawing a defective tube in first draw is 5 / 20 probability of drawing a defective tube in second draw ( without replacing first tube ) is 4 / 19 . therefore probability of getting both defective is = ( 5 / 20 ) * ( 4 / 19 ) = 1 / 19 answer : b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 40000", "rs . 36000", "rs . 50000", "rs . 25000" ] }
[ "D" ]
raja spends 60 % of his monthly income on household items , 10 % of his monthly income on buying cloths , 10 % of his monthly income on medicines and saves the remaining amount which is rs . 5000 . find his monthly income .
"savings 20 % - 5000 expenditure 80 % - 20000 total - 25000 answer : d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0.22085", "2.2085", "0.022085", "0.0022085" ] }
[ "C" ]
22.085 Γ£ β€” 0.001 = ?
"22.085 Γ£ β€” 0.001 = ? or , ? = 0.022085 answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "82 m", "50 m", "72 m", "150 m" ] }
[ "D" ]
two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 108 seconds . the length of each train is :
"explanation : the relative speed of train is 46 - 36 = 10 km / hr = ( 10 x 5 ) / 18 = 25 / 9 m / s 10 Γ— 518 = 259 m / s in 108 secs the total distance traveled is 108 x 25 / 9 = 300 m . therefore the length of each train is = 300 / 2 = 150 m . answer d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "4038", "8076", "9691.2", "4845.6" ] }
[ "A" ]
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 48456 , how much amount per month would he have spent on clothes and transport ?
∡ amount , he have spent in 1 month on clothes transport = amount spent on saving per month ∡ amount , spent on clothes and transport = 48456 ⁄ 12 = 4038 answer a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 147.50", "rs . 785.50", "rs . 176.50", "rs . 258.50" ] }
[ "C" ]
teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 154 per kg , the price of the third variety per kg will be ?
"explanation : since first and second varieties are mixed in equal proportions . so , their average price = rs . ( 126 + 135 ) / 2 . = > rs . 130.50 . so , the mixture is formed by mixing two varieties , one at rs . 130.50 per kg and the other at say , rs . x per kg in the ratio 2 : 2 , i . e . , 1 : 1 . we have to find x . by the rule of alligation , we have : cost of 1 kg cost of 1 kg of 1 st kind of 2 nd kind ( rs . 130.50 ) ( rs . x ) \ / mean price ( rs . 154 ) / \ x Γ’ Λ† ’ 154 22.50 = > x Γ’ Λ† ’ ( 154 / 22.50 ) = 1 . = > x Γ’ Λ† ’ 154 = 22.50 . = > x = 176.50 rs . answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 27,000", "rs . 24,000", "rs . 30,000", "rs . 36,000" ] }
[ "A" ]
jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 54,000 after completion of one year . what will be madhu ' s share of profit ?
"30,000 * 12 = 45,000 * 8 1 : 1 madhu ' s share = 1 / 2 * 54,000 i . e . rs . 27,000 answer : a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "70 %", "60 %", "30 %", "75 %" ] }
[ "B" ]
the ratio 15 : 25 expressed as percent equals to
"explanation : actually it means 15 is what percent of 25 , which can be calculated as , ( 15 / 25 ) * 100 = 15 * 4 = 60 answer : option b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "3 : 1", "3 : 2", "3 : 5", "4 : 1" ] }
[ "D" ]
if the volume of two cubes are in the ratio 64 : 1 , the ratio of their edges is :
"explanation : let the edges be a and b of two cubes , then a 3 / b 3 = 64 / 1 = > ( a / b ) 3 = ( 4 / 1 ) 3 a / b = 4 / 1 = > a : b = 4 : 1 option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0.1503", "0.001503", "1.503", "0.001503" ] }
[ "A" ]
15.03 Γ£ β€” 0.01 = ?
"15.03 Γ£ β€” 0.01 = ? or , ? = 0.1503 answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "3025", "4200", "3060", "3210" ] }
[ "A" ]
{ ( 481 + 426 ) 2 - 4 x 481 x 426 } = ?
"explanation : here , the given statement is like ( a + b ) 2 - 4 ab where a = 481 and b = 426 ( a + b ) 2 - 4 ab = ( a 2 + 2 ab + b 2 ) - 4 ab = a 2 - 2 ab + b 2 = ( a - b ) 2 hence { ( 481 + 426 ) 2 - 4 x 481 x 426 } = ( 481 - 426 ) 2 = 552 = 3025 . answer : option a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "960", "1060", "1,200", "945" ] }
[ "D" ]
the profit earned by selling an article for 812 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?
"let the profit or loss be x and 812 – x = 448 + x or , x = 364 ⁄ 2 = 182 \ cost price of the article = 812 – x = 448 + x = 630 \ sp of the article = 630 Γ— 150 ⁄ 100 = 945 answer d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "150", "160", "140", "130" ] }
[ "D" ]
what is the angle between the minute hand and the hour hand when the time is 1540 hours ?
solution : the total angle made by the minute hand during an hour is 360 o . if it takes 360 o for an hour , it will take ( 40 / 60 ) * 360 = 240 o . the angle between the hour hand the minute hand will therefore , be somewhere between 240 - 90 = 150 o , as the hour hand is between 3 and 4 . the angle made by the hour hand when it moves from say 3 to 4 will be 30 o . that is the hour hand makes 30 o during the course of an hour . the hour hand will therefore , move ( 40 / 60 ) * 30 = 20 o . therefore , the net angle between the hour hand and the minute hand will be 150 - 20 = 130 o . answer d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0", "1", "27", "0" ] }
[ "D" ]
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.567 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?
k = [ lcm of 80 and 45 ] * ( any integer ) however minimum value of k is sq . rt of 3 ^ 2 * 4 ^ 2 * 5 ^ 2 = 60 * any integer for value of k ( 60 ) * any integer unit value will be always zero . d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "52 kmph .", "62 kmph .", "72 kmph .", "80 kmph ." ] }
[ "A" ]
a man sitting in a train which is travelling at 60 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?
"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 60 ) kmph = 52 kmph . answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 420000", "rs . 180000", "rs . 436800", "rs . 504000" ] }
[ "C" ]
the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 13000 , then find the annual income of a ?
"b ' s monthly income = 13000 * 112 / 100 = rs . 14560 b ' s monthly income = 2 parts - - - - > rs . 14560 a ' s monthly income = 5 parts = 5 / 2 * 14560 = rs . 36400 a ' s annual income = rs . 36400 * 12 = rs . 436800 answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 49.17", "rs . 51.03", "rs . 54.17", "rs . 55.66" ] }
[ "D" ]
if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 67 per litre then what is the rate of mixed oil per litre ?
"50 * 10 = 500 67 * 5 = 335 835 / 15 = 55.66 answer : d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 950", "rs . 1500", "rs . 1000", "rs . 2200" ] }
[ "D" ]
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 55 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?
explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 – 55 = rs . 150 cp on 40 metres = 150 x 40 = rs . 6000 profit earned on 40 metres cloth = rs . 8200 – rs . 6000 = rs . 2200 . answer : option d
MathQA
{ "label": [ "A", "B", "C", "E" ], "text": [ "13", "12 , 45", "1 , 25", "12 , 35" ] }
[ "E" ]
if a and b are multiples of 3 then which are all the multiples of 3 1 ) a / b 2 ) a ^ b 3 ) a + b 4 ) a - b 5 ) a * b
a * b a ^ b a + b a - b are multiples of 3 except a / b answer : e
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "51 : 52", "52 : 53", "53 : 54", "54 : 55" ] }
[ "C" ]
the cash difference between the selling prices of an article at a profit of 6 % and 8 % is rs 3 . the ratio of two selling prices is
"explanation : let the cost price of article is rs . x required ratio = ( 106 % of x ) / ( 108 % of x ) = 106 / 108 = 53 / 54 = 53 : 54 . answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "16", "24", "20", "32" ] }
[ "A" ]
if 20 % of 30 is greater than 25 % of a number by 2 , the number is :
explanation : = > 20 / 100 * 30 - 25 / 100 * x = 2 = > x / 4 = 4 so x = 16 answer : a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "6630", "6650", "6560", "6530" ] }
[ "A" ]
15 51 216 1100 ? 46452
"the format of the series 15 * 3 + 6 = 51 51 * 4 + 12 = 216 216 * 5 + 20 = 1100 1100 * 6 + 30 = 6630 6630 * 7 + 42 = 46452 answer : a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "315", "345", "325", "375" ] }
[ "D" ]
what annual installment will discharge a debt of rs . 1260 due in 3 years at 12 % simple interest ?
"let each installment be rs . x then , ( x + ( ( x * 12 * 1 ) / 100 ) ) + ( x + ( ( x * 12 * 2 ) / 100 ) ) + x = 1260 = ( ( 28 x / 25 ) + ( 31 x / 25 ) + x ) = 1260 Γ― Ζ’ β€Ί ( 28 x + 31 x + 25 x ) = ( 1260 * 25 ) x = ( 1260 * 25 ) / 84 = rs . 375 . therefore , each installment = rs . 375 . answer is d ."
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "300", "400", "562.5", "600" ] }
[ "C" ]
there are 225 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .
as per question stem 2 / 5 m ( portion of men employees who are managers ) + 225 ( portion of female employees who are managers ) = 2 / 5 t ( portion of total number of employees who are managers ) , thus we get that 2 / 5 m + 225 = 2 / 5 t , or 2 / 5 ( t - m ) = 225 , from here we get that t - m = 562.5 , that would be total number of female employees and the answer ( c )
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "22.8 kg", "25.6 kg", "28 kg", "26.5 kg" ] }
[ "A" ]
if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 6 m of the same rod ?
"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 6 : : 42.75 : x = > 11.25 x x = 6 x 42.75 = > x = ( 6 x 42.75 ) / 11.25 = > x = 22.8 answer : a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "124 m 2', '", "120 m 2', '", "108 m 2', '", "58 m 2', '" ] }
[ "A" ]
the floor of a rectangular room is 15 m long and 12 m wide . the room is surrounded by a verandah of width 2 m on all its sides . the area of the verandah is :
area of the outer rectangle = 19 Γ— 16 = 304 m 2 area of the inner rectangle = 15 Γ— 12 = 180 m 2 required area = ( 304 – 180 ) = 124 m 2 answer a
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "1100", "800", "1400", "1200" ] }
[ "D" ]
a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 6600 . what is the share of b ?
"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a ’ s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 6600 x ( 2 / 11 ) ) = rs . 1200 . answer is d ."
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0.1", "0.4", "0.82", "0.8" ] }
[ "B" ]
if 0.60 : x : : 6 : 4 , then x is equal to
"sol . ( x Γ— 6 ) = ( 0.60 Γ— 4 ) β‡’ x = 2.4 / 6 = 0.40 . answer b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "2436", "2801", "- 1496", "- 2071" ] }
[ "C" ]
- 84 x 19 + 100 = ?
"given exp . = - 84 x ( 20 - 1 ) + 100 = - ( 84 x 20 ) + 84 + 100 = - 1680 + 184 = - 1496 answer is c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "20 m", "25 m", "22.5 m", "9 m" ] }
[ "A" ]
in a 100 m race , a covers the distance in 36 seconds and b in 45 second . in this race a beats b by :
"solution distance covered by b in 9 sec . = ( 100 / 45 x 9 ) m = 20 m . ∴ a beats b by 20 metres . answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "7 m", "7.5 m", "8 m", "8.5 m" ] }
[ "B" ]
the cost of carpeting a room 18 m long with a carpet 75 cm wide at 4.50 per metre is 810 . the breadth of the room is :
length of the carpet = totalcost / rate / m = ( 8100 ⁄ 45 ) m = 180 m . area of the room = area of the carpet = ( 180 Γ— 75 ⁄ 100 ) m 2 = 135 m 2 ∴ breadth of the room = arealength = 135 / 18 m = 7.5 m answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 19", "rs . 22", "rs . 20", "rs . 21" ] }
[ "D" ]
the present worth of a certain bill due sometime hence is rs . 400 and the true discount is rs . 20 . what is the banker ' s discount ?
"explanation : bg = ( td ) 2 / pw = 202 / 400 = rs . 1 bg = bd – td = > 1 = bd - 20 = > bd = 1 + 20 = rs . 21 answer : option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 432", "rs . 422", "rs . 416", "rs . 442" ] }
[ "C" ]
the true discount on a bill of rs . 2660 is rs . 360 . what is the banker ' s discount ?
"explanation : f = rs . 2660 td = rs . 360 pw = f - td = 2660 - 360 = rs . 2300 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 2300 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2160 for unexpired time = 360 / 2300 Γ— 2660 = 0.16 Γ— 2660 = rs . 416 answer : option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "18", "8", "12", "10" ] }
[ "D" ]
find the greatest number which leaves the same remainder when it divides 20 , 40 and 90 .
"90 - 40 = 50 40 - 20 = 20 90 - 20 = 70 the h . c . f of 20 , 50 and 70 is 10 . answer : d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "110 hours", "112 hours", "115 hours", "100 hours" ] }
[ "B" ]
two pipes can fill a cistern in 14 and 16 hours respectively . the pipes are opened simultaneously and it is found that due to leakage in the bottom , 32 minutes extra are taken for the cistern to be filled up . if the cistern is full , in what time would the leak empty it ?
cistern filled by both pipes in one hour = 1 ⁄ 14 + 1 ⁄ 16 = 15 ⁄ 112 th ∴ both pipes filled the cistern in 112 ⁄ 15 hrs . now , due to leakage both pipes filled the cistern in 112 ⁄ 15 + 32 ⁄ 60 = 8 hrs . ∴ due to leakage , filled part in one hour 1 ⁄ 8 ∴ part of cistern emptied , due to leakage in one hour = 15 ⁄ 112 - 1 ⁄ 8 = 1 ⁄ 112 th ∴ in 112 hr , the leakage would empty the cistern . answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "100", "250", "300", "330" ] }
[ "A" ]
the radius of the wheel of a bus is 175 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is
"radius of the wheel of bus = 175 cm . then , circumference of wheel = 2 Γ― € r = 350 Γ― € = 1100 cm distance covered by bus in 1 minute = 66 Γ’  β€ž 60 Γ£ β€” 1000 Γ£ β€” 100 cms distance covered by one revolution of wheel = circumference of wheel = 1100 cm Γ’ Λ† Β΄ revolutions per minute = 6600000 / 60 Γ£ β€” 1100 = 100 answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "2 hr 30 min", "2 hr", "4 hr", "1 hr 15 min" ] }
[ "A" ]
a boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes . how long will it take to go 5 km in stationary water ?
"explanation : speed upstream = 2 / 2 = 1 km / hr speed downstream = 1 / ( ( 20 / 60 ) ) = 3 km / hr speed in still water = 1 / 2 ( 3 + 1 ) = 2 km / hr time taken to travel 5 km in still water = 5 / 2 = 2 ( 1 / 2 ) hours = 2 hour 30 minutes . answer : option a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "0.7", "0.07", "0.007", "7" ] }
[ "B" ]
the cube root of . 000343 is
"explanation : ( . 000343 ) 1 / 3 = ( 343 / 106 ) 1 / 3 = ( 7 * 7 * 7 / 102 * 102 * 102 ) 1 / 3 = 7 / 102 = 7 / 100 = 0.07 answer b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "296", "252", "344", "388" ] }
[ "C" ]
the sum of 4 consecutive even numbers is 36 . find the sum of the squares of these numbers ?
let the four numbers be x , x + 2 , x + 4 and x + 6 . = > x + x + 2 + x + 4 + x + 6 = 36 = > 4 x + 12 = 36 = > x = 6 the numbers are 6 , 8 , 10 and 12 . sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344 . answer : c
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "20 %", "13.50 %", "14 %", "14.50 %" ] }
[ "A" ]
an uneducated retailer marks all his goods at 60 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?
"sol . let c . p . = rs . 100 . then , marked price = rs . 160 . s . p . = 75 % of rs . 160 = rs . 120 . ∴ gain % = 20 % . answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs 8.81", "rs 9.81", "rs 10.81", "rs 11.81" ] }
[ "D" ]
a fruit seller sells mangoes at the rate of rs . 9 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %
"explanation : 85 : 9 = 105 : x x = ( 9 Γ— 105 / 85 ) = rs 11.81 option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "20 %", "15 %", "33.33 %", "18 %" ] }
[ "B" ]
a milk man has 10 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :
"explanation : when the water is freely available and all the water is sold at the price of the milk , then the water gives the profit on the cost of 10 liters of milk . therefore , profit percentage = 15 % . answer : b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "βˆ’ 220", "βˆ’ 200", "100", "135" ] }
[ "B" ]
if the average ( arithmetic mean ) of a and b is 80 , and the average of b and c is 180 , what is the value of a βˆ’ c ?
"a + b = 160 b + c = 360 a - c = - 200 . imo option b ."
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "500", "600", "700", "800" ] }
[ "C" ]
a sum was put at simple interest at a certain rate for 4 years had it been put at 2 % higher rate , it would have fetched 56 more . find the sum .
"difference in s . i . = p Γ— t / 100 ( r 1 βˆ’ r 2 ) β‡’ 56 = p Γ— 4 Γ— 2 / 100 ( ∡ r 1 - r 2 = 2 ) β‡’ p = 56 Γ— 100 / 4 Γ— 2 = 700 answer c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "64 %", "65 %", "66 %", "67 %" ] }
[ "A" ]
a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error .
"explanation : let the number be x , then , 5 / 3 βˆ’ 3 / 5 = 16 / 15 x error % = ( 16 / 15 x βˆ— 3 / 5 βˆ— 100 ) option a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "54", "76", "152", "384" ] }
[ "D" ]
the greatest number by which the product of 3 consecutive multiples of 4 is always divisible is
solution required number = product of first three multiplies of 3 = ( 4 Γ£ β€” 8 Γ£ β€” 12 ) = 384 . answer d
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "6", "12", "24", "48" ] }
[ "B" ]
if √ 2 n = 64 , then the value of n is :
sol . √ 2 n = 64 ⇔ ( 2 n ) 1 / 2 ⇔ 2 n / 2 = 26 ⇔ n / 2 = 6 ⇔ n = 12 . answer b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "28000", "30000", "31500", "34000" ] }
[ "C" ]
a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ?
"explanation : suppose b ' s investment = x . then a ' s investment = 3 x suppose bs period of investment = y , then a ' s period of investment = 2 y a : b = 3 x * 2 y : xy = 6 : 1 total profit * 1 / 7 = 4500 = > total profit = 4500 * 7 = 31500 . answer : option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 147.50", "rs . 785.50", "rs . 177.50", "rs . 258.50" ] }
[ "C" ]
teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 155 per kg , the price of the third variety per kg will be ?
"explanation : since first and second varieties are mixed in equal proportions . so , their average price = rs . ( 126 + 135 ) / 2 . = > rs . 130.50 . so , the mixture is formed by mixing two varieties , one at rs . 130.50 per kg and the other at say , rs . x per kg in the ratio 2 : 2 , i . e . , 1 : 1 . we have to find x . by the rule of alligation , we have : cost of 1 kg cost of 1 kg of 1 st kind of 2 nd kind ( rs . 130.50 ) ( rs . x ) \ / mean price ( rs . 155 ) / \ x Γ’ Λ† ’ 155 22.50 = > x Γ’ Λ† ’ ( 155 / 22.50 ) = 1 . = > x Γ’ Λ† ’ 155 = 22.50 . = > x = 177.50 rs . answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "130 km", "120 km", "100 km", "140 km" ] }
[ "C" ]
a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5 hours , then the distance covered at 40 kmph is
"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 5 or , x / 40 + ( 250 - x ) / 60 = 5 or , ( 3 x + 500 - 2 x ) / / 120 = 5 or 500 + x = 600 x = 100 answer : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "4", "0", "2", "5" ] }
[ "B" ]
what is the remainder when 8 ^ 1 + 8 ^ 2 + 8 ^ 3 + . . . + 8 ^ 9 is divided by 8 ?
"notice that in the brackets we have the sum of 9 even multiples of 8 , which yields remainder of 0 upon division by 8 . answer : b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 21724.14", "rs . 31724.14", "rs . 51724.14", "rs . 61724.14" ] }
[ "C" ]
a man sells a car to his friend at 13 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :
"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 Γ£ β€” 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 13 % . now s . p = rs . 45000 and loss = 13 % c . p . rs . [ 100 / 87 Γ£ β€” 45000 ] = rs . 51724.14 . correct option : c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "600", "500", "400", "300" ] }
[ "B" ]
a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are
explanation : given that the student got 125 marks and still he failed by 40 marks = > the minimum pass mark = 125 + 40 = 165 given that minimum pass mark = 33 % of the total mark = > total mark Γ— ( 33 / 100 ) = 165 = > total mark = 16500 / 33 = 500 answer : option b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "25.5", "2.5", "12.5", ". 25" ] }
[ "C" ]
1 / 0.08 is equal to
"explanation : 1 / 0.08 = ( 1 * 100 ) / 8 = 100 / 8 = 12.5 option c"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs 600", "rs 625", "rs 650", "rs 675" ] }
[ "B" ]
the difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4 % per annum is rs 1 . find the sum
explanation : let the sum be p s . i . = p βˆ— 4 βˆ— 2 / 100 = 2 p / 25 c . i . = p ( 1 + 4 / 100 ) 2 βˆ’ p = 676 p / 625 βˆ’ p = 51 p / 625 as , c . i . - s . i = 1 = > 51 p / 625 βˆ’ 2 p / 25 = 1 = > 51 p βˆ’ 50 p / 625 = 1 p = 625 option b
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "rs . 70", "rs . 36", "rs . 54", "rs . 50" ] }
[ "A" ]
the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 8.4 . the true discount is
"solution t . d = [ b . g x 100 / r x t ] = rs . ( 8.4 x 100 / 12 x 1 ) = rs . 70 . answer a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "57600", "44000", "34936", "25640" ] }
[ "A" ]
40 % of the population of a village is 23040 . the total population of the village is ?
"answer ∡ 40 % of p = 23040 ∴ p = ( 23040 x 100 ) / 40 = 57600 correct option : a"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "290 / 289", "122 / 121", "290 / 90", "290 / 19" ] }
[ "B" ]
product of two natural numbers is 11 . then , the sum of reciprocals of their squares is
"explanation : if the numbers are a , b , then ab = 17 , as 17 is a prime number , so a = 1 , b = 17 . 1 / a 2 + 1 / b 2 = 1 / 1 ( 2 ) + 1 / 11 ( 2 ) = 122 / 121 option b"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "1240", "1120", "1190", "1978" ] }
[ "D" ]
the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 828 . what is the banker ' s discount ?
"explanation : td = ( bg Γ— 100 ) / tr = ( 828 Γ— 100 ) / ( 6 Γ— 12 ) = rs . 1150 bg = bd – td = > 828 = bd - 1150 = > bd = 1978 answer : option d"
MathQA
{ "label": [ "A", "B", "C", "D" ], "text": [ "8000000", "1000000", "7500000", "1200000" ] }
[ "A" ]
a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 2 cm x 7 cm x 3 cm . the maximum number ofboxes that can be carried in the wooden box , is
explanation : number = ( 800 * 700 * 600 ) / 2 * 7 * 3 = 8000000 answer : a
MathQA