Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operation should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations is not allowed.)

(4, 16, 32)

(6, 36, 72)

Given: ​

(4, 16, 32)

(6, 36, 72)

Logic: (1st)² = 2nd , 2nd × 2 = 3rd number

For: (4, 16, 32) = (4)² = 16; 16 × 2 = 32

For: (6, 36, 72) = (6)² = 36; 36 × 2 = 72
(a) (9, 81, 164) = (9)² = 81; 81 × 2 = 162 $$\neq$$​ 164

(b) (9, 27, 162) = (9)² = 81$$\neq$$​ 27, 81 × 2 = 162

(c) (9, 81, 162) = (9)² = 81; 81 × 2 = 162

(d) (9, 81, 160) = (9)² = 81; 81 × 2 = 162 $$\neq$$​160

Thus, only option (c) follows the logic. ​​