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# Maths Quiz for KVS/NVS & CTET Exams Q1. A bus moving at a speed of 45 km/hr overtakes a truck 150 m ahead going in the same direction in 30 seconds. The speed of the truck is
(a) 27 km/hr
(b) 24 km/hr
(c) 25 km/hr
(d) 28 km/hr

Q2. A train 300 m long passed a man walking along the line in the same direction at the rate of 3 km/hr in 33 seconds. The speed of the train is
(a) 30 km/h
(b) 32 km/h
(c) 32 8/11 km/h
(d) 35 8/11 km/h

Q3. A train, 240 m long crosses a man walking along the line in opposite direction at the rate of 3 km/h in 10 seconds. The speed of the train is
(a) 63 km/h
(b) 75 km/h
(c) 83.4 km/h
(d) 86.4 km/h

Q4. Two trains of length 70 m and 80 m are running at the speed of 68 km/hr and 40 km/hr respectively on parallel tracks in opposite directions. In how many seconds will they pass each other?
(a) 10 sec
(b) 8 sec
(c) 5 sec
(d) 3 sec

Q5. Two trains of length 137 m and 163 m are running with speed of 42 km/hr and 48 km/hr respectively towards each other on parallel tracks. In how many seconds will they cross each other?
(a) 30 sec
(b) 24 sec
(c) 12 sec
(d) 10 sec

Q6. Find the maximum number of trees which can be planted 20 m apart, on two sides of a straight road 1760 m long
(a) 180
(b) 178
(c) 174
(d) 176

Q7. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is:
(a) 15
(b) 20
(c) 25
(d) 10

Q8. Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will take
(a) 12 sec
(b) 9 sec
(c) 8 sec
(d) 10 sec

Q9. Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 seconds. If the speed of the second train is 43.2 km/hr, then the speed of the first train is
(a) 54 km/hr
(b) 50 km/hr
(c) 52 km/hr
(d) 51 km/hr

Q10. A passenger train 150 m long is travelling with a speed of 36 km/hr. If a man is cycling in the direction of train at 9 km/hr., the time taken by the train to pass the man is
(a) 10 sec
(b) 15 sec
(c) 18 sec
(d) 20 sec
Solutions

S1. Ans.(a)
Sol. 150=(45-x)×(5/18)×30
18 = 45 – x
x = 27 km/h 