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Question: john makes $ 40 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?
A.16 %.
B.16.66 %.
C.17.9 %.
D.18.12 %.
e ) 100 %E.
increase = ( 40 / 40 ) * 100 = ( 1 ) * 100 = 100 % . e | null |
Question: a part of certain sum of money is invested at 16 % per annum and the rest at 20 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
A.4 : 6.
B.4 : 9.
C.4 : 3.
D.4 : 1.
e ) 5 : 4E.
"20 : 16 = 5 : 4 answer : e" | null |
Question: the average of 6 no . ' s is 4.60 . the average of 2 of them is 3.4 , while the average of the other 2 is 3.8 . what is the average of the remaining 2 no ' s ?
A.2.3.
B.6.6.
C.3.6.
D.4.5.
e ) 4.6B.
"sum of the remaining two numbers = ( 4.6 * 6 ) - [ ( 3.4 * 2 ) + ( 3.8 * 2 ) ] = 27.60 - ( 6.8 + 7.6 ) = 27.60 - 14.40 = 13.20 . required average = ( 13.2 / 2 ) = 6.6 . answer : b" | null |
Question: at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.25 to bowl 2 games . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?
A.7.
B.8.
C.9.
D.19.
e ) 21D.
"after renting bowling shoes the person is left with $ 12.80 - $ 0.5 = $ 12.30 , which is enough for 12.3 / 1.25 = 9.84 ( 2 ) = 19.68 < 21 . ~ 19 games answer : d ." | null |
Question: if the product of the integers from 1 to n is divisible by 378 , what is the least possible value of n ?
A.7.
B.8.
C.9.
D.10.
e ) 11C.
"378 = 2 x 3 x 3 x 3 x 7 n must include at least 3 , 2 * 3 , and 3 * 3 . the answer is c ." | null |
Question: what is the value of ( 3 ) ^ - 4 ?
A.1 / 4.
B.1 / 81.
C.1 / 65.
D.1 / 9.
e ) 1 / 3B.
"3 ^ - 4 = 1 / ( 3 ) ^ 4 = 1 / 81 answer : b" | null |
Question: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?
A.3.
B.5.
C.7.
D.9.
e ) 10B.
"sol . on dividing 13924 by 97 , we get remainder = 5 . ∴ required number to be subtracted = 5 . answer b" | null |
Question: the price of an item is discounted 5 percent on day 1 of a sale . on day 2 , the item is discounted another 10 percent , and on day 3 , it is discounted an additional 15 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
A.28 %.
B.40 %.
C.64.8 %.
D.76.5 %.
e ) 78 %D.
"let initial price be 1000 price in day 1 after 5 % discount = 950 price in day 2 after 10 % discount = 855 price in day 3 after 15 % discount = 726.75 so , price in day 3 as percentage of the sale price on day 1 will be = 726.75 / 950 * 100 = > 76.5 % answer will definitely be ( d )" | null |
Question: amar takes as much time in running 18 meters as a car takes in covering 12 meters . what will be the distance covered by amar during the time the car covers 1.6 km ?
A.6200 m.
B.2400 m.
C.300 m.
D.4300 m.
e ) 1200 mB.
"b 2400 m distance covered by amar = 18 / 1.2 ( 1.6 km ) = 3 / 8 ( 1600 ) = 2400 m answer is b" | null |
Question: with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity w of the pool ?
A.9000 cubic meters.
B.10500 cubic meters.
C.11750 cubic meters.
D.12000 cubic meters.
e ) 12500 cubic metersD.
"d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters ." | null |
Question: if n = 2 ^ 0.15 and n ^ b = 1 , b must equal
A.3 / 80.
B.20 / 3.
C.4.
D.5 / 3.
e ) 80 / 3B.
"15 / 100 = 3 / 20 n = 2 ^ 3 / 20 n ^ b = 2 ^ 1 ( 2 ^ 3 / 20 ) ^ b = 2 ^ 1 b = 20 / 3 answer : b" | null |
Question: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?
A.300 km.
B.320 km.
C.360 km.
D.390 km.
e ) 400 kmC.
"sol . average speed of a tractor = 25 km / h the speed of a bus in an hour = 25 × 2 = 50 km the speed of a car in an hour = 9 / 5 * 50 = 90 km so , the distance covered by car in 4 h is 90 × 4 = 360 km ans . ( c )" | null |
Question: find the sum of first 89 odd numbers
A.7921.
B.4800.
C.7900.
D.4980.
e ) 4960A.
"explanation : n 2 = 892 = 7921 answer : option a" | null |
Question: a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was
A.960.
B.980.
C.900.
D.970.
e ) 1000E.
"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 1000 answer : e ) rs 1000" | null |
Question: the difference between a number and its 3 - fourth is 100 . what is 25 % of that number ?
A.120.
B.100.
C.125.
D.150.
e ) none of theseB.
explanation : solution : let the number be x . then , x - 3 / 4 x = 100 = > x / 4 = 100 = > x = 400 . 25 % of x = 25 % of 400 = 25 / 100 * 400 = 100 . answer : b | null |
Question: i chose a number and divide it by 4 . then i subtracted 175 from the result and got 10 . what was the number i chose ?
A.200.
B.740.
C.780.
D.500.
e ) 100B.
"let x be the number i chose , then x / 4 − 175 = 10 x / 4 = 185 x = 740 answer is b ." | null |
Question: ramu bought an old car for rs . 42000 . he spent rs . 15000 on repairs and sold it for rs . 64900 . what is his profit percent ?
A.13.8.
B.77.
C.18.
D.99.
e ) 88A.
"total cp = rs . 42000 + rs . 15000 = rs . 57000 and sp = rs . 64900 profit ( % ) = ( 64900 - 57000 ) / 57000 * 100 = 13.8 % answer : a" | null |
Question: how many 3 digit numbers n are divisible by 78 or 91 ?
A.17.
B.19.
C.20.
D.21.
e ) 22B.
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 n - - 13 * 7 * 6 = 91 * 6 = 546 so total number of multiples - - 11 + 9 - 1 = 19 . hence answer is 19 . b | null |
Question: the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ?
A.9.18.
B.9.25.
C.9.5.
D.8.98.
e ) 8.88A.
"100 * 100 = 10000 103 * 106 = 10918 - - - - - - - - - - - 918 10000 - - - - - - - 918 100 - - - - - - - - - - 9.18 ans a" | null |
Question: a sells a bicycle to b and makes a profit of 60 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
A.237.
B.126.
C.971.
D.611.
e ) 112.5E.
"explanation : let cp be 100 a sells at 60 % profit so sp = 160 b sells at 25 % profit = 160 x ( 1 + 25 / 100 ) = 200 cp sp 100 - - - 200 x - - - 225 cp = 225 x 100 / 200 = 112.5 answer : e" | null |
Question: a shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee . find his net profit or loss percent ?
A.34 %.
B.30 %.
C.50 %.
D.150 %.
e ) 33 %D.
"the total number of mangoes bought by the shopkeeper be 10 . if he buys 5 a rupee , his cp = 2 he selling at 2 a rupee , his sp = 5 profit = sp - cp = 5 - 2 = 3 profit percent = 3 / 2 * 100 = 150 % answer : d" | null |
Question: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm .
A.335 cm 2.
B.885 cm 2.
C.285 cm 2.
D.825 cm 2.
e ) 266 cm 2E.
"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 14 ) = 266 cm 2 answer : e" | null |
Question: if x is 50 percent greater than 88 , then x =
A.68.
B.132.
C.86.
D.105.6.
e ) 108B.
"x = 88 * 1.5 = 132 so the answer is b ." | null |
Question: if x represents the product of the first 15 positive integers , then x is not a multiple of :
A.A.99.
B.B.84.
C.C.72.
D.D.57.
e ) e ) 67D.
a ) 99 = 9 * 11 b ) 84 = 4 * 7 * 3 c ) 72 = 9 * 11 d ) 65 = 5 * 13 e ) 57 = 19 * 3 since 19 is not there in first 15 positive numbers it is the only possibility d ) | null |
Question: a can complete a project in 20 days and b can complete the same project in 40 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?
A.18 days.
B.20 days.
C.26.67 days.
D.16 days.
e ) 12 daysB.
"let x = the number of days taken to complete the project . the amount of work done by a is ( x - 10 ) * ( 1 / 20 ) . the amount of work done by b is ( x ) * ( 1 / 40 ) . ( 1 / 20 ) * ( x - 10 ) + ( 1 / 40 ) * ( x ) = 1 ( x / 20 ) + ( x / 40 ) - ( 10 / 20 ) = 1 3 x / 40 = 3 / 2 x = 20 therefore , the answer is b : 20 ." | null |
Question: . 005 / ? = . 01
A.. 5.
B.. 05.
C.. 005.
D.. 0005.
e ) none of themA.
"let . 005 / x = . 01 ; then x = . 005 / . 01 = . 5 / 1 = . 5 answer is a" | null |
Question: the sum of two consecutive integers is 51 . find the numbers .
A.17.
18.
B.7.
8.
C.5.
6.
D.1.
2.
e ) 25,26E.
"n + ( n + 1 ) = 51 2 n + 1 = 51 2 n = 50 n = 25 answer : e" | null |
Question: a can finish a work in 12 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?
A.1 / 4.
B.1 / 6.
C.1 / 7.
D.1 / 8.
e ) none of theseA.
"explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 12 b ' s 1 day work = 1 / 6 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 12 + 1 / 6 ) = 1 / 4 so in one day 1 / 4 work will be done answer : a" | null |
Question: a train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds . its length is ?
A.23.
B.22.
C.21.
D.30.
e ) 19D.
"let the length of the train be x meters and its speed be y m / sec . they , x / y = 25 = > y = x / 25 ( x + 150 ) / 30 = x / 25 x = 30 m . answer : d" | null |
Question: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum e of all the digits of the integers from 0 to 99 inclusive ?
A.450.
B.810.
C.900.
D.1000.
e ) 1100C.
we want the sum of the digits from 0 to 99 , so i approximated : 0 - 9 - > 45 - > ( 9 + 0 ) * 10 / 2 40 - 49 - > 85 ( 13 + 4 ) * 10 / 2 90 - 99 - > 135 ( 18 + 9 ) * 10 / 2 we can see at a glance that theweightgoes up as the numbers go up ( meaning the difference between 85 and 45 is 40 , while 135 - 85 is 50 , this means that the second part of this sequence carries more weight for our result ) , so we know that the final answer has to be more than 850 ( 85 * 10 ) but close to it , and that ' s just e = 900 : the answer is c . | null |
Question: if m is the average ( arithmetic mean ) of the first 10 positive multiples of 3 and if m is the median of the first 10 positive multiples of 3 , what is the value of m – m ?
A.– 5.
B.5.
C.0.
D.25.
e ) 27.5C.
the first 10 positive multiples of 3 is an evenly spaced set . one of the most important properties of evenly spaced set ( aka arithmetic progression ) is : in any evenly spaced set the arithmetic mean ( average ) is equal to the median . hence m = m - - > m - m = 0 . answer : c . | null |
Question: subtracting 3 % of a from a is equivalent to multiplying a by how much ?
A.0.97.
B.9.4.
C.0.094.
D.94.
e ) noneA.
"answer let a - 3 % of a = ab . ⇒ ( 97 x a ) / 100 = ab ∴ b = 0.97 correct option : a" | null |
Question: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin
A.24.5.
B.24.8.
C.38.5.
D.24.88.
e ) 24.19C.
explanation : if rahul age is x , then sachin age is x + 7 , so , 9 x + 63 = 11 x 2 x = 63 x = 31.5 so sachin age is 31.5 + 7 = 38.5 answer : c ) 38.5 | null |
Question: when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ?
A.2.
B.3.
C.4.
D.5.
e ) 6C.
"when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ? putting a value say x = 24 we get remainder as 24 when divided by 61 . when 24 divided by 5 we get 4 as remainder . c is the answer ." | null |
Question: solve below question 2 x + 1 = - 19
A.- 8.
B.- 9.
C.9.
D.8.
e ) - 10E.
"2 x + 1 = - 19 x = - 10 e" | null |
Question: a train 150 m long can cross an electric pole in 3 sec and then find the speed of the train ?
A.180.
B.120.
C.72.
D.27.
e ) 28A.
"length = speed * time speed = l / t s = 150 / 3 s = 50 m / sec speed = 50 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 180 kmph answer : a" | null |
Question: approximately how many revolutions will be made by a car tire with a 10 - inch diameter if the car travels 1 ⁄ 2 mile ?
A.120.
B.180.
C.1003.
D.1000.
e ) 1,440C.
"diameter of car tire = 10 inches radius of car tire = 5 inches = 5 * 2.54 cm = 12.7 cm circumference of the car tire = 2 * pi * 12.7 = 2 * 3.14 * 12.7 = 79.76 cm distance traveled by car = . 5 mile = . 5 * 1.6 km = . 8 km = 800 m = 8 * 10 ^ 4 cm number of revolutions = distance traveled / circumference of tire = 8 * 10 ^ 4 / 79.76 = 1003 since the answer choices are far apart we should use estimation in this question . ideally , in the gmat the conversion between units would be provided . answer c" | null |
Question: calculate the share of z , if rs . 3720 is divided among x , y and z in the ratio 7 : 8 : 11 ?
A.1564.1.
B.1214.1.
C.1574.1.
D.1271.1.
e ) 1044.1C.
7 + 8 + 11 = 26 3720 / 26 = 143.1 so z ' s share = 11 * 143.1 answer : c | null |
Question: the area of a triangle is with base 18 m and height 6 m ?
A.88 m 2.
B.10 m 2.
C.66 m 2.
D.54 m 2.
e ) 31 m 2D.
"1 / 2 * 18 * 6 = 54 m 2 answer : d" | null |
Question: if a population of women in a town is 50 % of men . what is the population of men as a % of population of women ?
A.200 %.
B.100 %.
C.50 %.
D.65 %.
e ) 110 %A.
"we ' re told that the number of women in a town is equal to 50 % of the number of men in that town . if . . . . men = 10 women = 5 we ' re asked for the number of men , as a percentage of the number of women . m / w = 10 / 5 = 2 = 200 % answer is a" | null |
Question: 225 mtrs long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees ?
A.10.
B.12.
C.14.
D.16.
e ) 18A.
26 trees have 25 gaps between them , required distance ( 225 / 25 ) = 10 a | null |
Question: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ?
A.72.
B.192.
C.456.
D.256.
e ) 264C.
total of 3,200 boards . all that fail verification are indeed faulty . so the 64 are indeed faulty . 1 / 8 those that pass are also faulty . from the 3,200 we know 64 fail . so 3,136 must pass . of these 1 / 8 are faulty . 3,136 divided by 8 gives you 392 . what one must do now is to add to the 392 which were not detected the actually detected faulty ones , namely the 64 . total faulty : 456 . answer : c | null |
Question: the rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 400 meters per second , what was the speed , in meters per second , when the stopwatch was started ?
A.25 / 2.
B.25 / 4.
C.25 / 8.
D.25 / 16.
e ) 25 / 32B.
"let x be the original speed when the stopwatch was started . in 90 seconds , the speed doubled 6 times . 2 ^ 6 * x = 400 x = ( 2 ^ 4 * 25 ) / 2 ^ 6 = 25 / 4 the answer is b ." | null |
Question: the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ?
A.12.
B.9.
C.7.
D.6.
e ) 5A.
"2 x * x = 288 = > x = 12 answer : a" | null |
Question: robert ' s salary was increased by 50 % and subsequently decreased by 10 % . how much percentage does he gain ?
A.15 %.
B.20 %.
C.10 %.
D.25 %.
e ) 30 %A.
let original salary be $ 100 increased salary = 10 % of ( 150 % of $ 100 ) = ( 10 / 100 ) * ( 150 / 100 ) * 100 = $ 15 increase = 15 % correct option is a | null |
Question: the average ( arithmetic mean ) of 7 , 8 , 10 and 11 equals the average of 2 , 9 , 13 , and
A.7.
B.9.
C.10.
D.12.
e ) 13D.
"7 + 8 + 10 + 11 = 2 + 9 + 13 + x 36 = 24 + x or , x = 12 hence , answer will be ( d ) 12" | null |
Question: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 29.16 , the number of the member is the group is :
A.57.
B.54.
C.77.
D.87.
e ) 97B.
money collected = ( 29.16 x 100 ) paise = 29.16 paise numbers of members = 2916 squareroot = 54 answer b | null |
Question: a dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg , what is his percent ?
A.25 %.
B.25 %.
C.29 %.
D.55 %.
e ) 45 %B.
"800 - - - 200 100 - - - ? = > 25 % answer : b" | null |
Question: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg . what might be the weight of the new person ?
A.56 kg.
B.90 kg.
C.86 kg.
D.data inadequate.
e ) none of theseC.
"c 86 kg total weight increased = ( 8 x 2.5 ) kg = 20 kg . weight of new person = ( 66 + 20 ) kg = 86 kg ." | null |
Question: if ( 5 ^ 9 ) ( 9 ^ 5 ) = 3 ( 15 ^ x ) , what is the value of x ?
A.7.
B.9.
C.11.
D.13.
e ) 15B.
"( 5 ^ 9 ) ( 9 ^ 5 ) = 3 ( 15 ^ x ) = > 5 ^ 9 * 3 ^ 10 = 3 * 3 ^ x * 5 ^ x = > 5 ^ 9 * 3 ^ 10 = 3 ^ ( x + 1 ) * 5 ^ x value of x = 9 answer b" | null |
Question: a boat having a length 8 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :
A.12 kg.
B.60 kg.
C.72 kg.
D.160 kg.
e ) none of theseD.
"explanation : volume of water displaced = ( 8 x 2 x 0.01 ) m 3 = 0.16 m 3 . ∴ mass of man = volume of water displaced x density of water = ( 0.16 x 1000 ) kg = 160 kg . answer : d" | null |
Question: what is the sum between the place values of two 3 ' s in the numeral 63130
A.3111.
B.300.
C.3029.
D.3030.
e ) 3003D.
required sum = 3000 + 30 = 3030 answer is d | null |
Question: lloyd normally works 7.5 hours per day and earns $ 4.00 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?
A.$ 33.75.
B.$ 48.00.
C.$ 51.75.
D.$ 54.00.
e ) $ 70.00B.
"daily working hour * regular rate + overtime * increased rate 7.5 * 4.0 + 3 * 4.0 * 1.5 = 48 answer b" | null |
Question: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class .
A.48.79286.
B.42.25.
C.50.87364.
D.51.25.
e ) 52.25474A.
"explanation : average weight of 20 boys = 50.25 total weight of 20 boys = 50.25 × 20 average weight of remaining 8 boys = 45.15 total weight of remaining 8 boys = 45.15 × 8 total weight of all boys in the class = ( 50.25 × 20 ) + ( 45.15 × 8 ) total boys = 20 + 8 = 28 average weight of all the boys = ( 50.25 × 20 ) + ( 45.15 × 8 ) / 28 = answer : option a" | null |
Question: what is the difference between the c . i . on rs . 9000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?
A.s . 2.04.
B.s . 2.08.
C.s . 3.67.
D.s . 2.83.
e ) s . 2.42C.
c . i . when interest is compounded yearly = [ 9000 * ( 1 + 4 / 100 ) * ( 1 + ( 1 / 2 * 4 ) / 100 ] = 9000 * 26 / 25 * 51 / 50 = rs . 9547.2 c . i . when interest is compounded half - yearly = [ 9000 * ( 1 + 2 / 100 ) 2 ] = ( 9000 * 51 / 50 * 51 / 50 * 51 / 50 ) = rs . 9550.87 difference = ( 9550.87 - 9547.2 ) = rs . 3.67 . answer : c | null |
Question: a tank is filled by 3 pipes a , b , c in 3 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?
A.25 hr.
B.35 hr.
C.40 hr.
D.20 hr.
e ) 21 hrE.
"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 3 7 / x = 1 / 3 x = 21 hours answer is e" | null |
Question: a girl multiplies 987 by a certain number and obtains 559981 as her answer . if in the answer , both 9 ’ s are wrong but the other digits are correct , then the correct answer will be
A.553681.
B.555181.
C.555681.
D.556581.
e ) none of theseC.
987 = 3 x 7 x 47 . so , required number must be divisible by each one of 3 , 7 , 47 . none of the numbers in 553681 and 555181 are divisible by 3 . while 556581 is not divisible by 7 . correct answer is 555681 . answer : c | null |
Question: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 20 pages .
A.8.
B.10.
C.12.
D.14.
e ) 16A.
"subhas ' s 1 hr copy page = 50 / 10 = 5 page ( subhas + prakash ) ' s 1 hr copy page = 300 / 40 = 7.5 page from above prakash ' s 1 hr copy page = 2.5 page so time taken in 20 page ' s copy = ( 20 / 2.5 ) = 8 hrs answer : a" | null |
Question: a couple spent $ 198 in total while dining out and paid this amount using a credit card . the $ 198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ?
A.$ 130.
B.$ 140.
C.$ 150.
D.$ 160.
e ) $ 170C.
let the price of the meal be x . after a 10 % sales tax addition , the price is 1.1 * x after a 20 % tip on this amount , the total is 1.2 * 1.1 * x = 1.32 x 1.32 x = 198 x = $ 150 the correct answer is c . | null |
Question: in an election , candidate douglas won 58 percent of the total vote in counties x and y . he won 64 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ?
A.15 %.
B.18 %.
C.25 %.
D.36 %.
e ) 46 %E.
"given voters in ratio 2 : 1 let x has 200 votersy has 100 voters for x 64 % voted means 64 * 200 = 128 votes combined for xy has 300 voters and voted 58 % so total votes = 174 balance votes = 174 - 128 = 46 as y has 100 voters so 46 votes means 46 % of votes required ans e" | null |
Question: if x is an integer and 2.134 × 10 ^ x is less than 21,000 , what is the greatest possible value for x ?
A.7.
B.6.
C.5.
D.4.
e ) 3E.
"x is an integer and 2.134 × 10 x is less than 21,000 , what is the greatest possible value for x ? for 2.134 × 10 x is less than 21,000 to remain true , the greatest number is 2,134 , which makes x = 3 e . 3" | null |
Question: a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 4 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ? a . 480 liters
A.480.
B.489.
C.486.
D.482.
e ) 483A.
1 / x - 1 / 20 = - 1 / 24 x = 120 120 * 4 = 480 answer : a | null |
Question: what is the units digit of ( 147 ^ 17 ) ^ 48 ?
A.1.
B.3.
C.5.
D.7.
e ) 9A.
the units digit of the exponents of 7 repeat in a cycle of four , which is { 7,9 , 3,1 } . the number 17 has the form 4 n + 1 so the units digit is 7 inside the bracket . the exponent 48 has the form 4 n , so the units digit is 1 . the answer is a . | null |
Question: from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is two times longer . if ferry p is slower than ferry q by 4 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?
A.1.
B.2.
C.3.
D.4.
e ) 5A.
"the distance traveled by ferry p is 24 km . then the distance traveled by ferry q is 48 km . ferry q travels at a speed of 12 kph . the time of the journey for ferry q is 48 / 12 = 4 hours , which is 1 hour more than ferry p . the answer is a ." | null |
Question: find the cost of fencing around a circular field of diameter 39 m at the rate of rs . 1.50 a meter ?
A.287.
B.132.
C.156.
D.158.
e ) 128.73E.
"2 * 22 / 7 * 19.5 = 122.6 122.6 * 1 1 / 2 = rs . 128.73 answer : e" | null |
Question: the average weight of a group of persons increased from 48 kg to 51 kg , when two persons weighing 78 kg and 93 kg join the group . find the initial number of members in the group ?
A.87.
B.67.
C.23.
D.75.
e ) 25C.
let the initial number of members in the group be n . initial total weight of all the members in the group = n ( 48 ) from the data , 48 n + 78 + 93 = 51 ( n + 2 ) = > 51 n - 48 n = 69 = > n = 23 therefore there were 23 members in the group initially . answer : c | null |
Question: in δ pqs above , if pq = 4 and ps = 5 , then
A.9 / 4.
B.12 / 5.
C.16 / 5.
D.15 / 4.
e ) 10 / 3E.
"there are two ways to calculate area of pqs . area remains same , so both are equal . 4 * 5 / 2 = pr * 6 / 2 pr = 10 / 3 e" | null |
Question: convert 0.34 in to a vulgar fraction ?
A.18 / 50.
B.16 / 50.
C.17 / 50.
D.19 / 50.
e ) noneC.
"answer 0.34 = 34 / 100 = 17 / 50 correct option : c" | null |
Question: dhoni bought 5 toys with the average cost of $ 10 . if david also buys the sixth toy with the price of $ 16 , what is the average ( arithmetic mean ) price of those 6 toys ?
A.$ 10.
B.$ 7.
C.$ 8.5.
D.$ 9.
e ) $ 11E.
5 toys - > total cost = 5 * avg cost = 5 * 10 = 50 sixth toy cost = 16 total cost for 6 toys = 50 + 16 = 66 am = 66 / 6 = 11 hence e | null |
Question: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds . what is the length of the train in meters ?
A.400 meters.
B.1111 meters.
C.1777 meters.
D.1822 meters.
e ) none of theseA.
"relative speed of the train with respect to the motorbike should be the speed with which the length of the train is covered in 40 secs . calculate the relative speed = > 100 - 64 = 36 kmph and time is 40 sec = 40 / 3600 hrs distance ( in this case the length of the train ) = s * t = 36 * 40 / 3600 . 4 km or 400 meters . so answer ( a )" | null |
Question: a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 350 m long platform ?
A.44 sec.
B.49 sec.
C.42 sec.
D.47 sec.
e ) none of theseD.
"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 350 ) / 36 * 5 / 18 = 47 min . answer : d" | null |
Question: gold is 10 times as heavy as water and copper is 6 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ?
A.3 : 2.
B.1 : 1.
C.3 : 1.
D.5 : 2.
e ) 4 : 3B.
"g = 10 w c = 6 w let 1 gm of gold mixed with x gm of copper to get 1 + x gm of the alloy 1 gm gold + x gm copper = x + 1 gm of alloy 10 w + 6 wx = x + 1 * 8 w 10 + 6 x = 8 ( x + 1 ) x = 1 / 1 ratio of gold with copper = 1 : 1 = 1 : 1 answer is b" | null |
Question: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction q of the area of triangle abc is the area of triangle xyz ?
A.1 / 9.
B.1 / 8.
C.1 / 6.
D.1 / 5.
e ) 1 / 3A.
"if you notice , both triangles abc and xyz have a side on x axis . we can take these sides as bases for each triangle , therefore area of abc is 1 / 2 * 12 * 12 ( height of abc is the y coordinate of the third point ( 8,12 ) ) similarly area of xyz is 1 / 2 * 4 * 4 dividing area of xyz with that of abc gives q = 1 / 9 . a" | null |
Question: what will be the compound interest on a sum of rs . 20,000 after 3 years at the rate of 12 % p . a . ?
A.rs . 8098.56.
B.rs . 9720.
C.rs . 10123.20.
D.rs . 10483.20.
e ) noneA.
"amount = [ 20000 * ( 1 + 12 / 100 ) ^ 3 ] = 20000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 28098.56 c . i . = ( 28098.56 - 20000 ) = rs . 8098.56 answer : a" | null |
Question: a waitress ' s income consists of her salary and tips . during one week , her tips were 3 / 4 of her salary . what fraction of her income for the week came from tips ?
A.1 / 9.
B.1 / 6.
C.3 / 7.
D.4 / 9.
e ) 5 / 9C.
"her tips were 3 / 4 of her salary . let ' s say her salary = $ 4 this mean her tips = ( 3 / 4 ) ( $ 4 ) = $ 3 so , her total income = $ 4 + $ 3 = $ 7 what fraction of her income for the week came from tips $ 3 / $ 7 = 3 / 7 = c" | null |
Question: the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will
['A.decrease by 12.5 %', 'B.increase by 12.5 %', 'C.increase by 4.5 %', 'D.increase by 25 %', 'e ) none of these']C.
explanation : let the initial height be 100 and the base be 200 units . â ˆ ´ area = 1 / 2 x 100 x 200 = 10000 sq units now , height = 95 units and base = 220 units â ˆ ´ new area = 1 / 2 x 95 x 220 = 10450 â ˆ ´ area is increased by ( 10450 - 10000 ) / 10000 x 10 = 4.5 % answer : option c | null |
Question: how many different positive integers exist between 10 ^ 5 and 10 ^ 6 , the sum of whose digits is equal to 2 ?
A.6.
B.7.
C.5.
D.8.
e ) 18A.
"so , the numbers should be from 100,000 to 1 , 000,000 the following two cases are possible for the sum of the digits to be 2 : 1 . two 1 ' s and the rest are 0 ' s : 100,001 100,010 100,100 101,000 110,000 5 numbers . 2 . one 2 and the rest are 0 ' s : 200,000 1 number . total = 6 numbers . answer : a" | null |
Question: the average age of 20 students of a class is 20 years . out of these , the average age of 9 students is 11 years and that of the other 10 students is 24 years . the age of the 20 th student is ?
A.65.
B.61.
C.59.
D.63.
e ) 64B.
"age of the 20 th student = 20 * 20 - ( 9 * 11 + 10 * 24 ) = 400 - 339 = 61 years answer is b" | null |
Question: a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 300 , find the price of the uniform ?
A.s . 80.
B.s . 85.
C.s . 90.
D.s . 300.
e ) s . 120D.
"9 / 12 = 3 / 4 * 500 = 375 300 - - - - - - - - - - - - - 75 1 / 4 - - - - - - - - 75 1 - - - - - - - - - ? = > rs . 300 answer : d" | null |
Question: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ?
A.100 feet.
B.120 feet.
C.150 feet.
D.180 feet.
e ) 186 feetA.
"explanation : we are given with length and area , so we can find the breadth . as length * breadth = area = > 20 * breadth = 800 = > breadth = 40 feet area to be fenced = 2 b + l = 2 * 40 + 20 = 100 feet answer : option a" | null |
Question: a man buys a cycle for rs . 1400 and sells it at a loss of 10 % . what is the selling price of the cycle ?
A.rs . 1090.
B.rs . 1160.
C.rs . 1190.
D.rs . 1202.
e ) noneE.
"solution s . p = 90 % of rs . 1400 = rs . ( 90 / 100 × 1400 ) rs . 1260 . answer ce" | null |
Question: every day daniel drives 60 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?
A.10 %.
B.20 %.
C.30 %.
D.40 %.
e ) 50 %B.
"let ' s test x = 4 . . . . on sunday , daniel drove 60 miles at 4 miles / hour . d = ( r ) ( t ) 60 = ( 4 ) ( t ) 60 / 4 = 15 = t it takes 15 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 28 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 28 = ( 2 ) ( t ) 28 / 2 = 14 = t it takes 14 hours for the second part total time to drive home on monday = 4 + 14 = 18 hours we ' re asked by what percent 18 hours is greater than 15 hours . 18 / 15 = 1.2 , so it is 20 % greater . b" | null |
Question: the length of a rectangle is halved , while its breadth is tripled . watis the % change in area ?
A.43 %.
B.47 %.
C.50 %.
D.65 %.
e ) 68 %C.
"let original length = x and original breadth = y . original area = xy . new length = x . 2 new breadth = 3 y . new area = x x 3 y = 3 xy . 2 2 increase % = 1 xy x 1 x 100 % = 50 % . 2 xy c" | null |
Question: the number of sailors on a ship is 85 % more than the number of officers . the ratio of sailors to officers would be
A.37 : 20.
B.47 : 20.
C.47 : 25.
D.22 : 25.
e ) 97 : 50A.
"sailor = 1.85 * officer sailor / officer = 1.85 / 1 = 185 / 100 = 37 / 20 answer will be a" | null |
Question: a goods train runs at the speed of 72 km / hr and crosses a 270 m long platform in 26 sec . what is the length of the goods train ?
A.278.
B.166.
C.151.
D.250.
e ) 109D.
"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 270 ) / 26 = 20 x = 250 m . answer : d" | null |
Question: the volume of water inside a swimming pool doubles every hour . if the pool is filled to its full capacity within 8 hours , in how many hours was it filled to one quarter of its capacity ?
['A.2', 'B.4', 'C.5', 'D.6', 'e ) 7']D.
d | null |
Question: if pintu is coded as 79523 in a certain code language , how would you code mintu in the same language ?
A.13426.
B.14236.
C.49523.
D.14263.
e ) 15263C.
"1 2 3 4 5 6 7 8 9 a b c d e f g h i j k l m n o p q r s t u v w x y z sooo . . . mintu is 49523 . . . answer : c" | null |
Question: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure y in inches of the width of the foil covered prism ?
A.4.
B.6.
C.8.
D.9.
e ) 10E.
"if the width is w , then length and height would be w / 2 . so , w * w / 2 * w / 2 = 128 = > w ^ 3 = ( 2 ^ 3 ) * 64 = ( 2 ^ 3 ) * ( 4 ^ 3 ) = > w = 2 * 4 = 8 in . along the width of the cuboid , 8 cubes do n ' t touch the tin foil . so the actual width will be non - touching cubes + touching cubes = 8 + 2 = y = 10 ans e ." | null |
Question: evaluate : 2.5 + 0.0005
A.2000.
B.3000.
C.1000.
D.5000.
e ) 4000D.
"25 / 0.0005 = ( 25 * 10000 ) / ( 0.0005 * 10000 ) = 25000 / 5 = 5000 answer is d ." | null |
Question: it costs $ 2 for the first 1 / 5 hour to use the laundry machine at the laundromat . after the first ¼ hour it costs $ 12 per hour . if a certain customer uses the laundry machine for 2 hours and 15 minutes , how much will it cost him ?
A.$ 25 ..
B.$ 26 ..
C.$ 29 ..
D.$ 30 ..
e ) $ 31 .C.
"2 hrs 15 min = 135 min first 12 min - - - - - - > $ 2 time left is 135 min . . . now , 60 min costs $ 12 1 min costs $ 12 / 60 135 min costs $ 12 / 60 * 135 = > $ 27 so , total cost will be $ 27 + $ 2 = > $ 29 hence answer will be c" | null |
Question: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?
A.114.
B.124.
C.134.
D.144.
e ) 154D.
"length = speed * time speed = l / t s = 200 / 5 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : d" | null |
Question: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute . after 10 minutes , the water level decreases 1 / 9 meters . what is value of the radius in meters ?
A.2.
B.3.
C.4.
D.6.
e ) 9B.
"10 * 0.31 = 3.1 = pi * r ^ 2 * h r ^ 2 = 3.1 / ( pi * 1 / 9 ) which is about 9 r = 3 the answer is b ." | null |
Question: a person crosses a 800 m long street in 5 minutes . what is his speed in km per hour ?
A.1.23.
B.2.86.
C.4.36.
D.9.25.
e ) 9.61E.
"distance = 800 meter time = 5 minutes = 5 x 60 seconds = 300 seconds speed = distance / time = 800 / 300 = 2.67 m / s = 2.67 ã — 18 / 5 km / hr = 9.61 km / hr answer : e" | null |
Question: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?
A.520.
B.640.
C.700.
D.750.
e ) 800B.
"soap : alcohol initial ratio soap : alcohol : water - - > 20 : 50 : 80 initial soap : alcohol = 20 / 50 = 20 : 50 after doubled soap : alcohol = 2 * 20 / 50 = 40 : 50 initial soap : water = 20 / 80 = 20 : 80 after halved soap : water : 1 / 2 * 20 / 80 = 10 / 80 = 10 : 80 after soap : alcohol : water - - > 40 : 50 : 320 - - > 4 : 5 : 32 given alcohol 100 cubic centimeter . ratio is 80 : 100 : 640 ( 4 : 5 : 32 ) for 100 cubic centimeter of alcohol - - - 640 cubic cm water is required . answer - b" | null |
Question: in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 15 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?
A.4 seconds.
B.25 seconds.
C.29 seconds.
D.21 seconds.
e ) 17 secondsE.
"their difference is 5 second but this difference is 0 if john allows sam to start the race from 15 m ahead . that means jhon was 15 m away from finishing line when they started together . so he will cover 15 m in 5 seconds . so his speed = 15 / 5 = 3 metre / second . so time taken = 100 / 5 = 20 seconds . so sam took = 17 seconds . correct answer = e" | null |
Question: a 150 meter long train crosses a man standing on the platform in 3 sec . what is the speed of the train ?
A.176 kmph.
B.108 kmph.
C.176 kmph.
D.134 kmph.
e ) 180 kmphE.
"s = 150 / 3 * 18 / 5 = 180 kmph answer : e" | null |
Question: in an examination , 300 students appeared . out of these students ; 29 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
A.51.
B.37.
C.54.
D.99.
e ) 01A.
"the number of students with first division = 29 % of 300 = 29 / 100 × 300 = 8700 / 100 = 87 and , the number of students with second division = 54 % of 300 = 54 / 100 × 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 – ( 87 + 162 ) = 51 answer : a" | null |
Question: the length of rectangle is thrice its breadth and its perimeter is 104 m , find the area of the rectangle ?
A.507 sq m.
B.356 sq m.
C.452 sq m.
D.428 sq m.
e ) 525 sq mA.
"2 ( 3 x + x ) = 104 l = 39 b = 13 lb = 39 * 13 = 507 answer : a" | null |
Question: if x + y = 20 , x - y = 36 , for integers of x and y , x = ?
A.20.
B.25.
C.28.
D.20.
e ) 42C.
"x + y = 20 x - y = 36 2 x = 56 x = 28 answer is c" | null |
Question: if x , y is 20 % , 25 % greater than z then how much percentage is x smaller than y ?
A.3 1 / 13 %.
B.3 %.
C.3 11 / 13 %.
D.4 %.
e ) none of theseC.
explanation : x = 125 % y = 130 % z = 100 % x - y / y * 100 = 5 / 130 * 100 = 500 / 130 % = 3 11 / 13 % smaller than y answer : option c | null |
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