PSC Previous questions 14 maths answer key

ASSISTANT/AUDITOR-GOVT SECRETARIAT/KPSC/KSAD DATE OF TEST 15-10-18

1.The largest natural number which exactly divides the product of any four consecutive natural numbers is

(A) 120 

(B) 24 

(C) 12 

(D) 6 

2. If 520 mangoes can be bought for ` 600, how many can be bought for ` 1500 ? 

(A) 1040 

(B) 1200 

(C) 1300 

(D) 1560 

3. In an examination 86% of the candidates passed and 224 failed. How many candidates appeared for the exam ? 

(A) 800 

(B) 1540 

(C) 1600 

(D) 3136 

4. Raju & Tom together can do a work in 10 days. Tom & Appu together can do it in 12 days. Appu & Raju together can do it in 15 days. In how many days will they finish it if all the three work together ? 

(A) 8 days 

(B) 4 days 

(C) 4.5 days 

(D) 9.5 days 

5. Area of the largest triangle that can be inscribed in a semicircle of radius 2 cm is 

(A) 2 cm2 

(B) 4 cm2 

(C) 2 2 cm2 

(D) 4 p cm2 

6. If Maya goes to office at a speed of 40 km/hr, she reaches 5 minutes late. If she travels at the speed of 60 km/hr, she is 10 minutes early. What is the distance to office from her home ? 

(A) 30 km 

(B) 40 km

(C) 50 km 

(D) 35 km

7. How much time will a train of length 171 metres take to cross a tunnel of length 229 metres, if it is running at a speed of 30 km/hr ? 

(A) 1 minute 

(B) 36 seconds 

(C) 30 seconds 

(D) 32 seconds 

8. At what time between 4 and 5 will the hands of a clock be at right angles ? 

(A) 38 3/11 minutes past 4 

(B) 38 9/13 minutes past 4 

(C) 38 2 /1 minutes past 4 

(D) 38 5/13 minutes past 4 

9. Today 10th May 2018 is a Thursday. What day of the week will it be on 25th December, 2018 ? 

(A) Wednesday 

(B) Sunday 

(C) Monday 

(D) Tuesday 

10. The ratio between the ages of Appu and Ryan at present is 3 : 4. Five years ago the ratio of their ages was 2 : 3. What is the present age of Appu ? 

(A) 15 years 

(B) 20 years 

(C) 12 years 

(D) 30 years 

11. What day of the week will be on 8th June 2215 ? 

(A) Friday 

(B) Thursday 

(C) Monday 

(D) Sunday 

12. What will come in the place of “?” : EG, HJ, KM, NP, ? 

(A) QS 

(B) QR 

(C) QT 

(D) RS 13. 

13 B

14. The simple interest on a sum of money is equal to the principal and number of years is equal to the rate percent per annum. Find the rate percent. 

(A) 15% 

(B) 20% 

(C) 12% 

(D) 10% 

15. How long will a 150 m long train running at a speed of 60 kmph take to cross the bridge of 300 m long ? 

(A) 37 seconds 

(B) 35 seconds 

(C) 25 seconds 

(D) 27 seconds 

16. The ratio of ages of Monu and Sonu at present is 4 : 1. Eight years ago Monu’s age was 10 times the age of Sonu. What is the present age of Monu ? 

(A) 48 

(B) 44 

(C) 46 

(D) 42 

17. What will be the next term 7, 12, 19, ______ ? 

(A) 26 

(B) 28 

(C) 30 

(D) 24 

18. Rony walked 20 m towards North, then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. How many metres is he from the starting position ? 

(A) 45 m 

(B) 35 m 

(C) 55 m 

(D) 15 m 

19. A tank can be filled by pipe A in 6 hours and by pipe B in 3 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 4 hours. If initially the tank was empty and someone started the two pump together, but left the drainage hole open, how long does it take for the tank to be filled ? 

(A) 6 hours 

(B) 8 hours 

(C) 4 hours 

(D) 12 hours 

20. What are the last two digit of the number 745 ? 

(A) 07 

(B) 23 

(C) 49 

(D) 43