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Directions(1-10): Answer the questions

1). A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

a) 4.5 Hours

b) 5 Hours

c) 6.5 Hours

d) 7.2 Hours

e) None of these

2). A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

a) 15 min

b) 20 min

c) 27.5 min

d) 30 min

e) None of these

3). One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 86 minutes, then the slower pipe alone will be able to fill the tank in

a) 81 min

b) 108 min

c) 144 min

d) 192 min

e) None of these

4). A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?

a) 3 hrs 15 min

b) 3 hrs 45 min

c) 4 hrs

d) 4 hrs 15 mins

e) None of these

5). Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

a) 4 Hrs

b) 5 Hrs

c) 7 Hrs

d) 9 Hrs

e) None of these

6). Two pipes A and B can fill a cistern in 37 ½ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

a) 5

b) 9

c) 10

d) 15

e) None of these

7). A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

a) 20 hours

b) 25hours

c) 36 hours

d) Data inadequate

e) None of these

8) Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:

a) 6 hrs

b) 6 2/3 hrs

c) 7 hrs

d) 7 1/2 hrs

e) None of these

9) Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

a) 10 min 20 Sec

b) 11 min 45 Sec

c) 12 min 30 Sec

d) 14 min 40 Sec

e) None of these

10) Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

a) 10

b) 12

c) 14

d) 16

e) None of these