Select the option in which the numbers are related in the same way as are the numbers of the following set. (11, 31, 800)

Solution

The logic followed here is as follows: The third number is obtained by squaring the difference between the first two numbers and then multiplying the result by 2. Third number = (Second number - First number)² x 2 For the given set (11, 31, 800) → (31 - 11)² x 2 = 20² x 2 = 400 x 2 = 800. A (12, 29, 612) → (29 - 12)² x 2 = 17² x 2 = 289 x 2 = 578. B (14, 38, 1152) → (38 - 14)² x 2 = 24² x 2 = 576 x 2 = 1152. C (16, 30, 400) → (30 - 16)² x 2 = 14² x 2 = 196 x 2 = 392. D (19, 42, 1000) → (42 - 19)² x 2 = 23² x 2 = 529 x 2 = 1058.