Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 9, 6, 117
Second row: 12, 7, 193
Third row: 13, 8,?
(NOTE: Operations 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/deleting/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.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3, i.e., 233.
Logic: Third number = (First number)2 + (Second number)2
First row: 9, 6, 117 → (9)2 + (6)2 = 81 + 36 = 117
Second row: 12, 7, 193 → (12)2 + (7)2 = 144 + 49 = 193
Third row: 13, 8, 233 → (13)2 + (8)2 = 169 + 64 = 233