Question

What will come at the place of question mark? 2, 12, 30, 56, 90, ?

• A. 132
• B. 140
• C. 142
• D. 150

Answer 1

Answer:

A. 132

Observe the pattern:

• $(1^2 + 1 = 2)$

• $2^2 + 8 = 12)$

• $(3^2 + 21 = 30)$

A simpler way is to check differences:

• 12 − 2 = 10

• 30 − 12 = 18

• 56 − 30 = 26

• 90 − 56 = 34

Differences increase by 8 each time.

Next difference:

34 + 8 = 42

So,

90 + 42 = 132

Therefore, the missing number is 132.