Directions (10-11) : Some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation in each question.
a = 11 (242) 121, b= 14 (392) 196 , c = 13 (?) 169

Options

A. 182
B. 338
C. 2197
D. 28224

Answer

B

Explanation

a=11 (242) 121
`rArr (11)^2 + 121`
or, 121 + 121 =242
That is, the number under brackest is equal to the sum of the squares of the left number and the right number itself.
b=14(392)196
`rArr (14)^2 + 196`
or, 196 + 196 = 392
Terefore ,
`C=13 (?) 169`
`? = (13)^2 + 169` of , ? = 169 + 169=338