Select the option in which the numbers are related in the same way as are the numbers in the given sets.

(343, 36, 13),

(64, 16, 8),

(27, 25, 8)​​

Given: (343, 36, 13), (64, 16, 8), (27, 25, 8)

Logic: The first number is a cube, the second is a square, and the third is the sum of the cube and square bases.

343 = 7³​ (cube of 7)

36 = 6​² (square of 6)

13 =7+6 (Sum  of the bases of the cube and square).

64 = 4³ (cube of 4)

16 = 4² (square of 4)

8 = 4 + 4 (Sum of the bases, which is 0).

27 = 3³(cube of 3)

25 = 5​² (square of 5)

8=5+3(Sum of the bases).

Let’s analyze each options:

28 is not a cube, so this does not follow the pattern.

216 = 6³ (cube of 6)

64 = 8²(square of 8)

14=8+6 (Sum of the bases).

So this follows the pattern.​

81 = not a perfect cube 

27= not a perfect square, so this does not follow the pattern.

63 is not a cube, so this does not follow the pattern.

Thus, the correct option is (b) (216, 64, 14)