In each of the following questions, there is a certain relationship between two given numbers one on side of : and one number is given another side of : while another number on is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear . Choose the best alternative
182 : ? : : 210 : 380

Options

A. 156
B. 240
C. 272
D. 342

Answer

D

Explanation

The pattern is as follows :
`210 = (15) ^(2) - 15 , 380 = (15 + 5 )^(2) - (15 + 5)`
Similarly, ` 182 = (13)^(2) + 13`
Therefore, `(13 + 5) ^(2) + (13 + 5) = (18) ^(2) + 18 = 342 `