Model Questions on MATH set 5

1. A constant distance from Chennai to Bangalore is covered by Express  train at 50 km/hr. If it returns to same distance at 40 km/hr. then the average speed during the whole journey is
(a) 45 km/h  
(b) 48 km/h
(c) 45.45 km/h  
(d) 44.44 km/h

2. By selling an article for Rs. 39. a shopkeeper gains 30%. For how much should he sell it to gain 10% ?
(a) 31   
(b) 32.5
(c) Rs 30   
(d) Rs33

3. The two number are in the ratio 2:3 and their product is 54 the sum of the numbers is?
(a) 15   
(b) 5
(c) 9   
(d) 6

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
(a) 100    
(b) 105
(c) 225   
(d) 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
(a) 6   
(b) 8
(c) 12   
(d) 4

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?
(a) 60   
(b) 45
(c) 40   
(d) 30

7. In how many different ways the letter of the word GREATER be arranged?
(a) 5040   
(b) 2520
(c) 1260   
(d) 630

8. In how many years a sum of money will triple itself at 8% per annum simple interest.
(a) 25 years  
(b) 37.5 years
(c) 20 years  
(d) 30 years

9. In how much time a train of length 120 m running at 45km/hr can cross a platform of length 230 m?
(a) 36 sec   
(b) 28 sec
(c) 14 sec   
(d) 18 sec

10. What is 6/11 of 25% of 10% 4400?
(a) 11   
(b) 66
(c) 60   
(d) 36

Answer:


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

2. (d)
Required price = 39 * 1.1/1.3 = 33

3. (a)
Let the numbers be 2x and 3x.
6x2 = 54
x = 3
Sum of numbers = 5x = 15

4. (d)
Let the total number of pages be x.
x – x/3 – x/6 = 75
x = 150

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

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

8. (a)
Interest in 1 year = 8%.
To triple the money the interest should be 200%.
Number of years = 200/8 = 25 years.

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

10 . (c)
6/11 of 25% of 10% 4400 = 6/11 * 25/100 * 10/100 * 4400 = 60