SSC CPO 2022 PYQ — Question 177

SSC CPO - 10 Nov 2022 - Shift 1 • Reasoning • Q177

Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its 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 on 1 and 3 is not allowed.)

(23, 25, 16)

(21, 17, 256)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. (18, 15, 81)

Given sets: 

(23, 25, 16)

Here, (23 - 25)4 = 24 = 16

Similarly, (21, 17, 256)

= (21 - 17)4 = 44 = 256

Let us check all the options:

1. (14, 19, 125)

= (14 - 19)4 = 54 = 625 ≠ 125

2. (27, 23, 64)

(27 - 23)4 = 44 = 256 ≠ 64

3. (18, 15, 81)

= (18 - 15)4 = 34 = 81 = 81

4. (11, 9, 12)

(11 - 9)4 = 24 = 16 ≠ 12

Hence, (18, 15, 81) is the correct answer.