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SSC CPO 2020 PYQ — Question 113

SSC CPO - 23 Nov 2020 - Shift 2 • Quantitative Aptitude • Q113

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If A is 16\frac{1}{6} of C, and B is twice of A , and the average of A , B and C is 30, then the difference between A and C is :

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 50

We have given,

A = C × 1/6

⇒ A/C = 1/6

B = 2A

⇒ A/B = 1/2

So, the ratio of A : B : C = 1x : 2x : 6x

Average of A, B, and C = 30

So, sum of the

⇒ A + B + C = 30 × 3 =90

⇒ x + 2x + 6x = 90

x = 10

So, the difference between A nad C = 6x - x = 5x = 5 × 10 = 50