Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4,6,8)
(6,8,10)

Correct option is B

Given:

(4,6,8)
(6,8,10)

Logic: (1st number + 3rd number) ÷ 2 = 2nd number
Set 1: (4, 6, 8)
(4 + 8) ÷ 2 = 12 ÷ 2 = 6
This satisfies the condition because the second number is 6.
Set 2: (6, 8, 10)
(6 + 10) ÷ 2 = 16 ÷ 2 = 8
This satisfies the condition because the second number is 8.
(A): (2, 12, 8)
(2 + 8) ÷ 2 = 10 ÷ 2 = 5
This does not satisfy the condition because the second number is 12, not 5.
(B): (8, 12, 16)
(8 + 16) ÷ 2 = 24 ÷ 2 = 12
This satisfies the condition because the second number is 12.
(C): (5, 30, 10)
(5 + 10) ÷ 2 = 15 ÷ 2 = 7.5
This does not satisfy the condition because the second number is 30, not 7.5.
(D): (18, 18, 16)
(18 + 16) ÷ 2 = 34 ÷ 2 = 17
This does not satisfy the condition because the second number is 18, not 17.