Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 3, 5 and 8 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

**A**

${15/79}$.

**B**

$1{8/39}$.

**C**

${5/27}$.

**D**

$3{1/9}$.

**Soln.**

**Ans: a**

Let the time taken by them to independently fill the tank be r, g and b minutes. Ink discharged by the blue tap is $3/b$. The total of all the inks is $3/r + 3/g + 3/b$. The ratio is ${1/b}/{1/r + 1/g + 1/b}$, which simplifies to ${rg}/{rg + gb + br}$ = ${15/79}$.

### Question 2

Two pipes can together fill a cistern in 8 minutes. How long does the slower alone take if the speeds of the pipes are in the ratio 4 : 1?

### Question 3

Tap X can fill the tank in 16 mins. Tap Y can empty it in 12 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $9/18$^{th} full of water?

### Question 4

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 8, 8 and 5 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

**A**

${4/9}$.

**B**

$1{5/8}$.

**C**

${4/11}$.

**D**

$2{9/11}$.

**Soln.**

**Ans: a**

Let the time taken by them to independently fill the tank be r, g and b minutes. Ink discharged by the blue tap is $3/b$. The total of all the inks is $3/r + 3/g + 3/b$. The ratio is ${1/b}/{1/r + 1/g + 1/b}$, which simplifies to ${rg}/{rg + gb + br}$ = ${4/9}$.

### Question 5

Tap M can fill a cistern in 14 mins. And, a tap N can empty it in 12 mins. In how many minutes will the cistern be emptied if both the taps are opened together when the tank is $5/19$^{th} already empty?

**A**

$61{17/19}$ mins.

**B**

$66{7/18}$ mins.

**C**

$55{2/21}$ mins.

**D**

$58{5/7}$ mins.

**Soln.**

**Ans: a**

1 filled cistern can be emptied in ${14 × 12}/{14 - 12}$ mins. So $1 - 5/19$ = $14/19$ filled cistern can be emptied in ${14 × 12}/{14 - 12}$ × $14/19$ = ${1176/19}$, which is same as: $61{17/19}$ mins.

### More Chapters | See All...

Logarithms | Stocks and Shares | Deductive Reasoning | Paper Folding | Cubes and Dice | Distance and Time | Problems on Numbers | Compound Interest | Surds and Indices | Pipes and Cisterns | More...

This Blog Post/Article "Pipes and Cisterns Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.