Math Questions for SSC CHSL and RRB NTPC EXAM

Q1. If (3x – 2y) : (3x + 2y) = 3 : 4, then x : y = ?
(a) 14/3
(b) 13/3
(c) 17/3
(d) 14/5

Q2. The ratio between two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. The difference between the numbers is:
(a) 1
(b) 3
(c) 6
(d) 8

Q3. When 20% of the number is added to the second number, then latter number increases by 50%. What is the ratio between the first and the second number.
(a) 3 : 2
(b) 2 : 3
(c) 5 : 2
(d) Cannot be determined

Q4. A train moves with a speed of 30 km/hr for 12 minutes and for next 8 minutes at a speed of 45 km/hr. the average speed of the train is:
(a) 37.5 km/hr
(b) 36 km/hr
(c) 48 km/hr
(d) 30 km/hr

Q5. The average of six observations is 12. The average decreases by 1 when a new observation is included. What is the seventh observation?
(a) 1
(b) 3
(c) 5
(d) 6

Q6. A bucket contains 2 litres more water when it is filled 80% in comparison when it is filled 200/3%. What is the capacity of the bucket?
(a) 10 litres
(b) 15 litres
(c) 200/3 litres
(d) 20 litres

Q7. Ram sells his goods 25% cheaper than Shyam and 25% dearer than Hari. How much percentage is Hari’s goods cheaper than Shyam’s?
(a) 25
(b) 331/3
(c) 40
(d) 50

Q8. A train travelling with constant speed crosses a 96 m long platform in 12 seconds and another 141 m long platform in 15 seconds. 
(a) 64 m, 44 km/hr
(b) 64 m, 54 km/hr
(c) 84 m, 54 km/hr
(d) 84 m, 60 km/hr

Q9. Two trains 105 m and 90 m long run at the speeds of 45 kmph and 72 kmph respectively in opposite directions on parallel tracks. The time which they take to cross each other, is:
(a) 5 sec
(b) 6 sec
(c) 7 sec
(d) 8 sec

Q10. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
(a) 29 m
(b) 21m
(c) 26 m
(d) 28 m

Q11. If a man earns Rs. 2000 for his first 50 hours of work in a week and is then paid one and one half times his regular hourly rate for any additional hours, then the hours must he work to make Rs. 2300 in a week is
(a) 4 hrs
(b) 5 hrs
(c) 6 hrs
(d) 7 hrs

Q12. x can copy 80 pages in 20 hours, x and y together can copy 135 pages in 27 hours. Then y can copy 20 pages in 
(a) 3 hrs
(b) 12 hrs
(c) 20 hrs
(d) 24 hrs

Q13. Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it?
(a) 16 min
(b) 24 min
(c) 32 min
(d) 40 min

Q14. Two pipes can fill a tank in 15 hours and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8 A.M., 9 A.M. and 11 A.M. respectively, the tank will be emptied at 
(a) 11:40 A.M.
(b) 12:40 P.M.
(c) 1:40 P.M.
(d) 2:40 P.M.

Q15. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time taken to fill the tank will be
(a) 8 hours
(b) 10 hours
(c) 16 hours
(d) 24 hours

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