1. A cistern is constructed to hold 200 litres, and the base of the cistern is a square metre. What is the depth of the cistern? A cubic metre is 1000 litres. (2)
a. 50 cm
b. 20 cm
c. 25 cm
d. 40 cm
e. None of these
2. A train after travelling 60 km meets with an accident and then proceeds at 2/3 of its former speed and arrives at its destination 40 minutes late. Had the accident occurred 30 km further, it would have reached the destination only 20 minutes late. Find the speed of the train and the distance which the train travels. (3)
a. 45 km/hr, 90 km
b. 60 km/hr, 120 km
c. 45 km/hr, 120 km
d. 60 m/hr, 120km
e. None of these
3.A person travels for 3 hrs at the speed of 12 km/hr and for 4 hrs at the speed of 15 km/hr. At the end of it, he finds that he has covered 4/5 of the total distance. At what average speed should he travel to cover the remaining distance in 6 hrs? (3)
a. 6 km/hr
b. 8 km/hr
c. 4 km/hr
d. 5 km/hr
e. None of these
4.16 taps are fitted to a water tank. Some of them are to fill the tank and the remaining are outlet taps used to empty the tank. Each water tap can fill the tank in 6 hours and each outlet tap can empty it in 18 hours. On opening all the taps, the tank is filled in 1 (1/2) hours. Find the number of empty taps. (1)
a. 7
b. 9
c. 6
d. 8
e. None of these
5.A, B and C together earn Rs. 750 in 5 days. A and C together earn Rs. 400 in 4 days. B and C together earn Rs. 450 in 4 (1/2) days. Find the daily earning of A. (4)
a. Rs.40
b. Rs.60
c. Rs.55
d. Rs.50
e. None of these
