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)
Correct Answer: (b) (9, 8, 154)
Solution: Logic: (1st no.)² + (2nd no.)² + 1st no. = 3rd no.
(6, 8, 106) :- (6² + 8² + 6) ⇒ (36 + 64 + 6) = 106
(7, 11, 177) :- (7² + 11² + 7) ⇒ (49 + 121 + 7) = 177
Similarly,
(9, 8, 154) :- (9² + 8² + 9) ⇒ (81 + 64 + 9) = 154