Quantitative Aptitude Questions
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Question 1 
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A  1 : 3 
B  3 : 2

C  3 : 4 
D  None of these 
Question 2 
A train 800 meters long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
A  130 
B  360

C  500 
D  540 
Question 3 
A train traveling at 48 kmph completely crosses another train having half its length and traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
A  400 m 
B  450 m

C  560 m 
D  600 m 
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 
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A  3 
B  5

C  7 
D  Cannot be determined

E  None of these 
Question 6 
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
A  18 days 
B  24 days

C  30 days 
D  36 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 
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
A  18.20 
B  Rs. 70

C  Rs. 72 
D  Rs. 88.25 
Question 9 
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
A  Rs. 21,000 
B  Rs. 22,500

C  Rs. 25,300 
D  Rs. 25,800 
Question 10 
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A  7 
B  8

C  9 
D  10

E  11 
Question 11 
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
A  12 years 
B  15 years

C  19 and half 
D  21 years 
Question 12 
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
A  8, 20, 28 
B  16, 28, 36

C  20, 35, 45 
D  None of these 
Question 13 
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A  Rs. 4991 
B  Rs. 5991

C  Rs. 6001 
D  Rs. 6991 
Question 14 
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
A  7.98 
B  Rs. 8

C  Rs. 8.50 
D  Rs. 9 
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 
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A  648 
B  1800

C  2700 
D  10800 
Question 18 
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
A  1 
B  1/40

C  40 
D  80 
Question 19 
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
A  178 
B  195

C  204 
D  488 
Question 20 
The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
A  960 
B  Rs. 840

C  Rs. 1020 
D  Rs. 760 
Question 21 
The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:
A  Rs. 360 
B  Rs. 432

C  Rs. 540 
D  Rs. 1080 
Question 22 
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
A  60 
B  Rs. 108

C  Rs. 110 
D  Rs. 112 
Question 23 
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 24 
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 25 
Robert is traveling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
A  8 kmph 
B  11 kmph

C  12 kmph 
D  14 kmph 
Question 26 
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
A  Rs. 4462.50 
B  Rs. 8032.50

C  Rs. 8900 
D  Rs. 8925

E  None of these 
Question 27 
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
A  10% 
B  10.25%

C  10.5% 
D  None of these 
Question 28 
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 29 
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A  5 : 7 : 8 
B  20 : 49 : 64

C  38 : 28 : 21 
D  None of these 
Question 30 
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 31 
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
A  Rs. 890 
B  Rs. 1335

C  Rs. 1602 
D  Rs. 1780 
Question 32 
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A  2 
B  3

C  18 
D  21

E  None of these 
Question 33 
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
A  3 
B  2

C  1 
D  5

E  None of these 
Question 34 
If a and b are odd numbers, then which of the following is even ?
A  a + b 
B  a + b + 1

C  ab 
D  ab + 2

E  None of these 
Question 35 
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
A  625 
B  630

C  640 
D  650 
Question 36 
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 37 
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A  39, 30 
B  41, 32

C  42, 33 
D  43, 34 
Question 38 
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 39 
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A  Rs. 200 
B  Rs. 250

C  Rs. 300 
D  None of these 
Question 40 
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 41 
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
A  3 
B  5

C  9 
D  11 
Question 42 
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 43 
The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:
A  1.2 km 
B  1.8 km

C  2.4 km 
D  3.6 km 
Question 44 
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 45 
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 46 
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
A  20 
B  30

C  48 
D  58 
Question 47 
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
A  3 : 3 : 10 
B  10 : 11 : 20

C  23 : 33 : 60 
D  Cannot be determined 
Question 48 
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A  145Âº 
B  150Âº

C  155Âº 
D  160Âº 
Question 49 
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A  80Âº 
B  75Âº

C  60Âº 
D  105Âº 
Question 50 
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A  20 hours 
B  25 hours

C  35 hours 
D  Cannot be determined

E  None of these 
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