Study the given pattern carefully and select the number that can replace the question mark (?) in it.

First row: 15, 3, 252

Second row: 11, 5, 246

Third row: 9, 6, ?

(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)

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)

Answer 1

Given:

First row: 15, 3, 252

Second row: 11, 5, 246

Third row: 9, 6, ?

Logic: 'Row wise'

First row → Third no. = [(First no.)² + (Second no.)³]

The first row (15, 3, 252) →

⇒ [(15)² + (3)³]

⇒ (225 + 27) = 252

The second row (11, 5, 246) →

⇒ [(11)2 + (5)3]

⇒ (121 + 125) = 246

Similarly, for the third row (9, 6, ?) →

⇒ [(9)2 + (6)3]

⇒ (81 + 216) = 297

Here, the question mark is replaced by '297'.

Hence, the correct answer is "Option (4)".