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Question

What should come in place of the question mark (?) in the given series?

98 102 110 126 158 ?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
222

Number Series Analysis

The question asks to find the missing number in the series: 98, 102, 110, 126, 158, ?.

Pattern Identification

Let's examine the differences between consecutive terms in the series:

  • Difference between 102 and 98: $102 - 98 = 4$
  • Difference between 110 and 102: $110 - 102 = 8$
  • Difference between 126 and 110: $126 - 110 = 16$
  • Difference between 158 and 126: $158 - 126 = 32$

Calculating the Next Difference

The differences are 4, 8, 16, 32. We observe that each difference is double the previous one:

  • $4 \times 2 = 8$
  • $8 \times 2 = 16$
  • $16 \times 2 = 32$

Following this pattern, the next difference should be:

  • $32 \times 2 = 64$

Finding the Missing Term

To find the missing term (the question mark), add the calculated next difference (64) to the last term of the series (158):

  • $158 + 64 = 222$

Therefore, the number that should come in place of the question mark is 222.

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