Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.

15 : 135 :: 16 : ? :: 18 : 189

152

15 : 135 :: 16 : ? :: 18 : 189

The  logic followed here is :

{( FIRST NUMBER +3  ) × ( FIRST NUMBER)} ÷ 2 = IIND NUMBER

AS

{( 15 +3  ) × ( 15)} ÷ 2

= {18 × ( 15)} ÷ 2

= 9 × 15

= 135

AND

{( 18 +3  ) × ( 18)} ÷ 2

= {21 × ( 18)} ÷ 2

= 9 × 21

= 189

SIMILARLY

{( 16 + 3  ) × ( 16)} ÷ 2

= {19 × ( 16)} ÷ 2

= 19 × 8

= 152