CEPTAM Admin and Store Assistant Model Paper – Maths

CEPTAM DRDO Sample Paper for  Administrative, Store, Security Assistant and Canteen Manager 

1. Every month, Mr. Duggabati spends 24% of his monthly income in paying rent and 30% on shopping of groceries. Out of the remaining, he invests in fixed deposit and respective ratio of 9 : 7. If in a year, he deposited a total of Rs.1,24,200/- in fixed deposit, how much did he pay as rent-in a year?
   (a) Rs. 1,24,000/-
   (b) Rs. 1,10,400/-
   (c) Rs. 1,17,600/-
   (d) Rs. 1,24,560/-
   (e) Rs. 1,15,200/-

2.  Raj while going by bus from home to airport (without any halt) takes 10 min less than time taken when the bus halts for some time. The average speed is 4 km/h more than the average speed of the bus when it halts. If the distance from home to airport is 60 km, what is the speed of the bus when it is travelled without any halt? (in km/h)
(a) 24
(b) 46
(c) 20
(d) 40
(e) 18

3. The total time taken by a boat to travel ‘x’ km downstream and `x-52 km upstream was 285 min. If the difference between speed of the boat downstream and upstream is 3 km/h and the respective ratio between speed of boat in still water and speed of water current was 9 : 1, what is the value of x ?
(a) 40.4
(b) 30
(c) 20.4
(d) 34.4
(e) None of these

4.  18 women complete a project in 24 days and 24 men complete the same project in 15 days, 16 women worked for 3 days and then they left. 20 men work for next 2 days and then they are joined by 16 women. In how many days will they complete the remaining work?
(a) 31/5
(b) 38/5
(c) 27/5
(d) 46/5
(e) None of these

5. The cost price of article B is 20% more than that of article A. Articles A and B were marked up by 50% and 25% respectively. Article A was old at a discount of 5% and article B was sold at a discount of 9%. If the selling price of article A was Rs.30/- more than the selling price of article B, What was the cost price of article A?
(a) Rs. 600/-
(b) Rs. 400/-
(c) Rs. 500/-
(d) Rs. 540/-
(e) Rs. 400/-

6. Ram’s age after 17 years will be 6 years less than twice his present age. The respective ratio between Vivian’s present age and Amit’s present age is 21 : 19. If Amit’s age 31 years hence will be same as three times Ram’s present age, what will be Vivian’s age 4 years hence ? (in years)
(a) 44
(b) 45
(c) 46
(d) 48
(e) None of these

7. A sum of Rs. 25000 amounts to Rs. 31000 in 4 years at the rate of simple interest what is the rate of interest?
(a) 3%
(b) 4%
(c) 5%
(d) 6%
(e) None of these

8. Two trains A and B of same length running in same direction with a speed of 36 km/hr and 54 km/hr respectively can cross each other in how many seconds if train A corsses a standing man in 12 seconds?
(a) 36 seconds
(b) 24 seconds
(c) 52 seconds
(d) 48 seconds
(e) None of these

9. Which is smallest prime number?
(a) 0
(b) 2
(c) 3
(d) 7
(e) None of these

10. The greatest number by which the product of three consecutive multiples of 3 is always
(a) 54
(b) 81
(c) 162
(d) 243
(e) None of these