Quantitative Questions With Solution

1. A constant distance from Chennai to Bangalore is covered by Express  train at 5O km/hr. If it returns to same distance at 40 km/hr. then the average speed during the whole journey is

(1) 45 km/h  

(2) 48 km/h

(3) 45.45 km/h  

(4) 44.44 km/h

(5) None of these

2. By selling an article for Rs. 39. a shopkeeper gains 30%. For how much should he sell it to gain 10% ?

(1) 31   

(2) 32.5

(3) Rs 30   

(4) Rs33

(5) Rs 36

3. The two number are in the ratio 2:3 and their product is 54 the sum of the numbers is?

(1) 15   

(2) 5

(3) 9   

(4) 6

(5) None of these

4. A Man read 1/3 of a book on day 1. On day 2, he read 1/2 of what he read on first day. 75 pages were left for third day. The number of pages in the book is

(1) 100    

(2) 105

(3) 225   

(4) 250

(5) None of these

5. P can do 2/3 of a job in 8 days and Q is twice as efficient as P. In how many days Q will finish the job

(1) 6   

(2) 8

(3) 12   

(4) 4

(5) 3

6. If A & B together can complete a  piece of work in 15  days & B alone in 20 days, in how many days can A alone complete the work?

(1) 60   

(2) 45

(3) 40   

(4) 30

(5) None of these

7. In how many different ways the letter of the word GREATER be arranged?

(1) 5040   

(2) 2520

(3) 1260   

(4) 630

(5) None of these

8. In how many years a sum of money will triple itself at 8% per annum simple interest.

(1) 25 years  

(2) 37.5 years

(3) 20 years  

(4) 30 years

(5) None of these

9. In how much time a train of length 120 m running at 45km/hr can cross a platform of length 230 m?

(1) 36 sec   

(2) 28 sec

(3) 14 sec   

(4) 18 sec

(5) None of these

10. What is 6/11 of 25% of 10% 4400?

(1) 11   

(2) 66

(3) 60   

(4) 36

(5) None of these

Answers With Explanation:

1. (4)

Average Speed = (2 * 40 * 50)/90 = 44.444 km/hr

2. (4)

Required price = 39 * 1.1/1.3 = 33

3. (1)

Let the numbers be 2x and 3x.

6x2 = 54

x = 3

Sum of numbers = 5x = 15

4. (5)

Let the total number of pages be x.

x – x/3 – x/6 = 75

x = 150

5. (1)

P can finish the job in = 3/2 of 8 = 12 days

SO Q will take 12/2 = 6 days to finish the job.

6. (1)

Required number of days = (20 * 15)/(20 - 15) = 60 days

7. (3)

Number of arrangements = 7!/(2! * 2!)

8. (1)

Interest in 1 year = 8%.

To triple the money the interest should be 200%.

Number of years = 200/8 = 25 years.

9. (2)

Crossing time = (120 + 230)/(45 * 5/18) = 28sec

10 . (3)

6/11 of 25% of 10% 4400 = 6/11 * 25/100 * 10/100 * 4400 =60

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