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SSC CGL 2022 PYQ — Question 68

SSC CGL - 11 April 2022 - Shift 3 • Quantitative Aptitude • Q68

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If p is the third proportional to 8 , 20 and q is the fourth proportional to 3,5,24 , then finf the value of (

2p +q).

 

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 140

Concept used : 

1. If 'c' is the third proportional of a and b then c = b2/a

2. If d is the fourth proportion of a, b and c then a/b = c/d.

Solution : 

Given that p is the third proportion of 8 and 20.

Here p = (20)2/8 

          p = 50

Also its is given that q is the fourth proportion of 3, 5 and 24

Here, 3/5 = 24/q

           q = (24 × 5)/3

           q = 40

Now the required result ,

(2p + q) = (2 × 50) + 40 = 100 + 40 = 140.