SSC CGL 2023 PYQ — Question 86

SSC CGL - 20 July 2023 - Shift 2 • Reasoning • Q86

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

9 : 702 : 3 : 18 :: 6 : ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 198.

Logic: Second number = [First number × {(First number)2 - 3}]

9 : 702 → [9 × {(9)2 - 3}] = [9 × (81 - 3)] = (9 × 78) = 702

3 : 18 → [3 × {(3)2 - 3}] =  [3 × (9 - 3)] =  (3 × 6) = 18

Similarly,

'6 : ?' → [6 × {(6)2 - 3}] = [6 × (36 - 3)] = (6 × 33) = 198

Hence, the correct answer is 198.