SSC CGL 2023 PYQ — Question 100

SSC CGL - 20 July 2023 - Shift 3 • Reasoning • Q100

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

32 : 8 :: 72: 12 :: 128 : ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 16.

The logic followed is:

Logic: Second no.2 ÷ 2 = First no.

32 : 8 → 82 ÷ 2 = 64 ÷ 2 = 32

72 : 12 → 122 ÷ 2 = 144 ÷ 2 = 72

Similarly, 128 : ?  → x2 ÷ 2 = 128

⇒ x2 = 128 × 2

⇒ x = √256

⇒ x = 16

Thus, 128 : 16.

Hence, 16 is the correct answer.