Q1. An inlet pipe can fill a tank in 8 hours and an outlet can empty the same tank in 40 hours, working individually. How many minimum additional numbers of outlet pipes of the same capacity are required to be opened, so that the tank never overflows?

6

4

8

7

9

Q2. A tank holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 galloons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off, when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter).

7.14 min

10.0 min

10.7 min

5.0 min

11.5 min

Q3. Three pipes A, B and C can fill a tank in 15 minutes, 20 minutes and 30 minutes respectively. All three pipes started to fill the tank at same time. The pipe C is closed 6 minutes before the tank is filled. In what time the tank will be full?

6 minutes

8 minutes

12 minutes

14 minutes

None of these

Q4. Two pipes X and Y can fill an empty tank in 16 and 24 hours respectively. Ravi opens these two pipes simultaneously. After 8/3 hours he comes back and sees that there was a leak in the tank. He stops the leakage and thus tank took 48/5 hours to be filled completely after closing the leak. In what time leakage will empty the filled tank ?

6.9 hrs

9.6 hrs

8.4 hrs

8.4 hrs

None of these

Q5. One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

12 minutes

24 minutes

30 minutes

Data inadequate

None of these

Q6. A cistern has two inlet taps (which fill it in 12 minutes and 15 minutes, respectively) and an exhaust tap. When all the three taps are opened together, it takes 20 minutes to fill an empty cistern. How long will the exhaust tap take to empty it?

20 minutes

16 minutes

12 minutes

10 minutes

14 minutes

Q7. A tank is 7 m long and 4 m wide. At what speed should water run through a rectangular pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes, water level in the tank rises by 4.5 m ?

12 kmph

10 kmph

14 kmph

18 kmph

None of these

Q8. Two pipes can fill a tank in 10 hours and 16 hours respectively. A third pipe can empty the tank in 32 hours. If all the three pipes are opened simultaneously then in how much time the tank will be full? (in hours)

Q9. Three filling pipes P, Q and R can fill an empty tank in 16 hr, 24 hr and 32 hr respectively. They start felling together the tank. After 4 hours pipe R gets closed and other two pipes continue to fill the tank. What is the total time the tank will be filled?

8.4 hr

7.2 hr

9.4 hr

6.4 hr

8 hr

Q10. Two pipes can fill a tank in 15 hours and 20 hours respectively, while the third pipes can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in

10 hours

12 hours

15 hours

31/2 hours

17 hours

Q11. Two filling pipes A and B can fill a tank separately with the rate of 50 m³/min and 70 m³/min respectively. There is a leakage in the bottom of the tank which working efficiency is 30% less than the efficiency of pipe A. If capacity of tank is 7000 m³, then in how much time the tank will be filled if all the three (both filling pipes and leak) start performing simultaneously?

Q12. There is a hole in a water tank which can empty it in 8 hours. A pipe is opened which fills 6 litre water per minute in tank and now tank is emptied in 12 hours. What is the capacity of the tank?

8260 litre

8660 litre

8640 litre

8620 litres

8460 litres

Directions (13-15): Find the approximate value of the following questions.

Q13. 180% of 25501 + 50% of 28999 = ?

62400

64000

60400

64200

60600

Q14. 171.995 × 14.995 ÷ 25 = ?

103

115

110

125

118

Q15. 175 × 28 + 275 × 27.98 = ?

11800

12600

12800

11600

16200

SOLUTIONS

1.B

2.B

3.B

4.B

5.A

6.D

7.B

8.B

9.A

10.B

11.B

12.C

13.C

14.A

15.B

6

4

8

7

9

Q2. A tank holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 galloons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off, when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter).

7.14 min

10.0 min

10.7 min

5.0 min

11.5 min

Q3. Three pipes A, B and C can fill a tank in 15 minutes, 20 minutes and 30 minutes respectively. All three pipes started to fill the tank at same time. The pipe C is closed 6 minutes before the tank is filled. In what time the tank will be full?

6 minutes

8 minutes

12 minutes

14 minutes

None of these

Q4. Two pipes X and Y can fill an empty tank in 16 and 24 hours respectively. Ravi opens these two pipes simultaneously. After 8/3 hours he comes back and sees that there was a leak in the tank. He stops the leakage and thus tank took 48/5 hours to be filled completely after closing the leak. In what time leakage will empty the filled tank ?

6.9 hrs

9.6 hrs

8.4 hrs

8.4 hrs

None of these

Q5. One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

12 minutes

24 minutes

30 minutes

Data inadequate

None of these

Q6. A cistern has two inlet taps (which fill it in 12 minutes and 15 minutes, respectively) and an exhaust tap. When all the three taps are opened together, it takes 20 minutes to fill an empty cistern. How long will the exhaust tap take to empty it?

20 minutes

16 minutes

12 minutes

10 minutes

14 minutes

Q7. A tank is 7 m long and 4 m wide. At what speed should water run through a rectangular pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes, water level in the tank rises by 4.5 m ?

12 kmph

10 kmph

14 kmph

18 kmph

None of these

Q8. Two pipes can fill a tank in 10 hours and 16 hours respectively. A third pipe can empty the tank in 32 hours. If all the three pipes are opened simultaneously then in how much time the tank will be full? (in hours)

Q9. Three filling pipes P, Q and R can fill an empty tank in 16 hr, 24 hr and 32 hr respectively. They start felling together the tank. After 4 hours pipe R gets closed and other two pipes continue to fill the tank. What is the total time the tank will be filled?

8.4 hr

7.2 hr

9.4 hr

6.4 hr

8 hr

Q10. Two pipes can fill a tank in 15 hours and 20 hours respectively, while the third pipes can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in

10 hours

12 hours

15 hours

31/2 hours

17 hours

Q11. Two filling pipes A and B can fill a tank separately with the rate of 50 m³/min and 70 m³/min respectively. There is a leakage in the bottom of the tank which working efficiency is 30% less than the efficiency of pipe A. If capacity of tank is 7000 m³, then in how much time the tank will be filled if all the three (both filling pipes and leak) start performing simultaneously?

Q12. There is a hole in a water tank which can empty it in 8 hours. A pipe is opened which fills 6 litre water per minute in tank and now tank is emptied in 12 hours. What is the capacity of the tank?

8260 litre

8660 litre

8640 litre

8620 litres

8460 litres

Directions (13-15): Find the approximate value of the following questions.

Q13. 180% of 25501 + 50% of 28999 = ?

62400

64000

60400

64200

60600

Q14. 171.995 × 14.995 ÷ 25 = ?

103

115

110

125

118

Q15. 175 × 28 + 275 × 27.98 = ?

11800

12600

12800

11600

16200

SOLUTIONS

1.B

2.B

3.B

4.B

5.A

6.D

7.B

8.B

9.A

10.B

11.B

12.C

13.C

14.A

15.B

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