Quantitative Aptitude Questions
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Question 1 
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
A  30 km/hr 
B  45 km/hr

C  60 km/hr 
D  75 km/hr 
Question 2 
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A  12 sec 
B  24 sec

C  48 sec 
D  60 sec 
Question 3 
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
A  2 : 3 
B  4 : 3

C  6 : 7 
D  9 : 16 
Question 4 
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
A  15 days 
B  20 days

C  25 days 
D  30 days 
Question 5 
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
A  7 hours 30 minutes 
B  8 hours

C  8 hours 15 minutes 
D  8 hours 25 minutes 
Question 6 
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
A  30 days 
B  40 days

C  60 days 
D  70 days 
Question 7 
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A  30% 
B  70%

C  100% 
D  250% 
Question 8 
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
A  3.5 
B  4.5

C  5.6 
D  6.5 
Question 9 
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A  No profit, no loss 
B  5%

C  8% 
D  10%

E  None of these 
Question 10 
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
A  14 years 
B  19 years

C  33 years 
D  38 years 
Question 11 
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A  12 years 
B  14 years

C  18 years 
D  20 years 
Question 12 
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
A  1 year 
B  2 years

C  25 years 
D  Data inadequate

E  None of these 
Question 13 
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A  76 kg 
B  76.5 kg

C  85 kg 
D  Data inadequate

E  None of these 
Question 14 
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
A  35 years 
B  40 years

C  50 years 
D  None of these 
Question 15 
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A  250 
B  276

C  280 
D  285 
Question 16 
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
A  4 
B  10

C  15 
D  16 
Question 17 
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
A  1677 
B  1683

C  2523 
D  3363 
Question 18 
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A  10 
B  13

C  14 
D  15 
Question 19 
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
A  20 
B  30

C  40 
D  50 
Question 20 
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
A  12 
B  18

C  22 
D  24

E  None of these 
Question 21 
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
A  50 km 
B  56 km

C  70 km 
D  80 km 
Question 22 
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A  70 km/hr 
B  75 km/hr

C  84 km/hr 
D  87.5 km/hr 
Question 23 
A farmer traveled a distance of 61 km in 9 hours. He traveled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance traveled on foot is:
A  14 km 
B  15 km

C  16 km 
D  17 km 
Question 24 
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
A  3.6 
B  6

C  18 
D  Cannot be determined

E  None of these 
Question 25 
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
A  Rs. 2000 
B  Rs. 10,000

C  Rs. 15,000 
D  Rs. 20,000 
Question 26 
A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
A  Rs. 35 
B  Rs. 245

C  Rs. 350 
D  Cannot be determined

E  None of these 
Question 27 
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A  Rs. 8400 
B  Rs. 11,900

C  Rs. 13,600 
D  Rs. 14,700 
Question 28 
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A  3 : 5 : 2 
B  3 : 5 : 5

C  6 : 10 : 5 
D  Data inadequate 
Question 29 
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
A  Rs. 9,423 
B  Rs. 10,250

C  Rs. 12,500 
D  Rs. 10,500 
Question 30 
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
A  8 
B  11

C  12 
D  13

E  None of these 
Question 31 
(51 + 52 + 53 + ... + 100) = ?
A  2525 
B  2975

C  3225 
D  3775 
Question 32 
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
A  47619 
B  47719

C  48619 
D  47649 
Question 33 
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3) hours to fill the tank. The leak can drain all the water of the tank in:
A  4 (1/3) hours

B  7 hours

C  8 hours 
D  14 hours 
Question 34 
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
A  1 hour 
B  2 hours

C  6 hours 
D  8 hours 
Question 35 
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
A  10 
B  12

C  14 
D  16 
Question 36 
Find the odd man out.
6, 9, 15, 21, 24, 28, 30
A  28 
B  21

C  24 
D  30 
Question 37 
Find the odd man out.
10, 14, 16, 18, 21, 24, 26
A  26 
B  24

C  21 
D  18 
Question 38 
Find the odd man out.
835, 734, 642, 751, 853, 981, 532
A  751 
B  853

C  981 
D  532 
Question 39 
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
A  Rs. 2160 
B  Rs. 3120

C  Rs. 3972 
D  Rs. 6240

E  None of these 
Question 40 
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
A  6% 
B  6.5%

C  7% 
D  7.5% 
Question 41 
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A  588 apples 
B  600 apples

C  672 apples 
D  700 apples 
Question 42 
Two numbers A and B are such that the sum of 5% of A and 4% of B is twothird of the sum of 6% of A and 8% of B. Find the ratio of A : B.
A  2 : 3 
B  1 : 1

C  3 : 4 
D  4 : 3 
Question 43 
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
A  4.37% 
B  5%

C  6% 
D  8.75% 
Question 44 
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A  2 : 3 : 4 
B  6 : 7 : 8

C  6 : 8 : 9 
D  None of these 
Question 45 
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A  Rs. 3500 
B  Rs. 3750

C  Rs. 3840 
D  Rs. 3900 
Question 46 
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A  160 
B  175

C  180 
D  195 
Question 47 
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
A  2 : 1 
B  3 : 2

C  8 : 3 
D  Cannot be determined

E  None of these 
Question 48 
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
A  16 hours 
B  18 hours

C  20 hours 
D  24 hours 
Question 49 
The difference between a twodigit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
A  3 
B  4

C  9 
D  Cannot be determined

E  None of these 
Question 50 
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
A  20 
B  23

C  169 
D  None of these 
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