SSC MTS MATHS QUIZ

Question 1:

If $\frac{3 }{ 7}^{\text {th }}$ of a cistern is filled in 36 minute, then what is the time (in minutes) needed to fill the remaining part?

42 min.

44 min.

52 min.

48 min.

Question 2:

Pipes A, B and C together can fill a cistern in 12 hours. All the three pipe are opened together for 4 hours and then C is closed. A and B together take 10 hours to fill the remaining part of the cistern. C alone will fill two-thirds of the cistern in :

25

30

35

40

Question 3:

Three pipes $A, B, C$ can fill an empty cistern in 4,3 and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly $2 \mathrm{hr} 12 \mathrm{~min}$ ?

$30 \mathrm{~min}$

$15 \mathrm{~min}$

$20 \mathrm{~min}$

$45 \mathrm{~min}$

Question 4:

Two taps $\mathrm{A}$ and $\mathrm{B}$ can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe $\mathrm{C}$ is opened, they can together empty it in 18 minutes. The waste pipe can empty the full cistern in?

$4.5$ min

$5.5$ min

$9$ min

$3$ min

Question 5:

Pipe P fill the tank in three forth of the time as compared to Pipe Q . Pipe R takes four times to fill it as compared to pipe P. If all the three pipes are opened together they can fill an empty tank in 12 hours . How many hours will it to take to fill the empty tank if pipe P is not tuned on ?

20 hours

32 hours

28 hours

24 hours

Question 6:

A water tank normally takes 16 hours to be filled by a tap but because of the leak, it takes another 5 hours. In how many hours will the leak empty a full water tank?

$65 \frac{1}{5}$

$67 \frac{1}{2}$

$67 \frac{1}{5}$

$65 \frac{2}{5}$

Question 7:

Three pipes A, B and C are connected to a tank. A and B together can fill the tank in 30 minutes B and C together in 20 minutes and C and A together in 15 minutes. In how much time each pipe will fill the tank.

$28 \mathrm{~min}, 124 \mathrm{~min}, 35 \mathrm{~min}$

$30 \mathrm{~min}, 120 \mathrm{~min}, 36 \mathrm{~min}$

$80 \mathrm{~min}, 240 \mathrm{~min}, 12 \mathrm{~min}$

$40 \mathrm{~min}, 120 \mathrm{~min}, 24 \mathrm{~min}$

Question 8:

A tank of water is filled through three pipes $X, Y$ and $Z$ in $5 \mathrm{~h}$. Pipe $Z$ is three times faster than pipe $Y$ and pipe $Y$ is twice as fast as pipe $X$. In how much time will pipe $X$ alone fill the water tank?

40 hours

35 hours

60 hours

45 hours

Question 9:

Pipes A and B can empty a tank in 15 hours and 18 hours, respectively. Pipe C alone can fill the tank in 6 hours. If all the three pipes are opened together, then two-third part of the tank will be full after:

18 hours

12 hours

15 hours

$22 \frac{1}{2}$ hours

Question 10:

Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?

3 hours

6 hours

8 hours

10 hours