SSC CPO 2023 PYQ — Question 199

SSC CPO - 03 Oct 2023 - Shift 3 • Reasoning • Q199

Select the set in which the numbers are related in the same way as 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.)

(6, 8, 106)

(7, 11, 177)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. (9, 8, 154).

Logic : [(First Number)2 + (Second Number )2 ] + First number = Third Number 

⇒(6, 8, 106)

[ (6)2 + (8)2 ] + 6 = 36 + 64 +6 = 106

⇒(7, 11, 177)

[ (7)2 + (11)2 ] + 7 = 49 + 121 + 7 = 177

Similarly ,

⇒(9, 8, 154)

[ (9)2 + (8)2 ] + 9 = 81 + 64 + 9 = 154

Hence, (9, 8, 154) is the correct answer.