Latest Teaching jobs   »   Maths Questions for CTET Exam 2017

# Maths Questions for CTET Exam 2017

Q1. A cistern has two pipes. One can fill it with water in 8 h and other can empty it in 5 h. In how many hours will the cistern be emptied if both the pipes are opened together & when 3/4 part of the cistern is already full of water?
(a) 13 1/3 h
(b) 10 h
(c) 6 h
(d) 3 1/3 h

Q2. 3/4 part of the tank is full of water. When 30 L of water is taken out, the tank becomes empty. The capacity of the tank is
(a) 36 L
(b) 42 L
(c) 40 L
(d) 38 L

Q3. One pipe fills a water tank three times faster than the another pipe. If the two pipes together can fill the empty tank in 36 min, then how much time will the slower pipe alone take to fill the tank?
(a) 1 h 21 min
(b) 1 h 48 min
(c) 2 h
(d) 2 h 24 min

Q4. Two pipes A and B can fill a cistern in 37 1/2 min and 45 min, respectively. If both pipes are opened then the cistern will be filled just in half an hour, if the pipe B is turned off after.
(a) 15 min
(b) 10 min
(c) 5 min
(d) 9 min

Q5. A tap can empty a tank in 1 h. A second tap can empty it in 30 min. If both the taps operate simultaneously, how much time is needed to empty the tank?
(a) 20 min
(b) 30 min
(c) 40 min
(d) 45 min

Q6. A moving train crosses a man standing on a platform and a bridge 300 metres long in 10 seconds and 25 seconds respectively. What will be the time taken by the train to cross a platform 200 metres long?
(a) 16 2/3 seconds
(b) 18 seconds
(c) 20 seconds
(d) 22 seconds

Q7. The speed 3 1/3 m/sec when expressed in km/hour becomes
(a) 8
(b) 9
(c) 10
(d) 12

Q8. Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. After they meet, if train A is moving at 45 km/hr, then the speed of the train B is
(a) 60 km/hr
(b) 64.8 km/hr
(c) 54 km/hr
(d) 37.5 km/hr

Q9. A man covers 9/20 by bus and the remaining 10 km on foot. His total journey (in km) is
(a) 15.6
(b) 24
(c) 18.18
(d) 12.8

Q10. A is twice as fast as B and B is thrice as fact as C is. The journey covered by C in 1 1/2 hours will be covered by A in
(a) 15 minutes
(b) 2 minutes
(c) 30 minutes
(d) 1 hour

Solutions: