Ratio and Proportion- Aptitude Questions and Answers

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175 men can dig a canal of 3150 meters long in 36 days. How many men are required to dig a canal of 3900 meters long in 24 days?

A)

325


B)

350


C)

375


D)

400



Correct Answer :

325


Explanation :

175 men*36 days / X men*24 days = 3150 meters/3900 meters
175 *36 *3900 = 3150 *24 *X
X = 175 *36 *3900 / 3150 *24
X = 325

So, 325 men are required.

A bag contains red, blue and black balls. The ratio of red to blue balls is 3 : 5. The ratio of black to red balls is 3 : 4. What is the ratio of blue to black balls?

A)
5 : 3

B)
4 : 5

C)
9 : 20

D)
20 : 9


Correct Answer :

20 : 9


Explanation :

ratio of red to blue balls= red / blue = 3 / 5
ratio of black to red balls= black / red = 3 / 4

ratio of black to blue balls= (black / red) * (red / blue)
= (3 / 4) * (3 / 5)
= 3*3 / 4*5
= 9 / 20

Hence, ratio of blue to black balls = 1 /(9/20) = 20/9

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