Number Series, Coding and DecodingPYQ Jan 26Question 4569 of 217

The next term of the series 1, 7, 17, 31, 49, 71, ______ is

A97

B153

C89

D111

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Correct Answer

✅ Option a — 97

Let us examine the differences between the consecutive terms of the series

\displaystyle 1, 7, 17, 31, 49, 71

: -

\displaystyle 7 - 1 = 6

\displaystyle 17 - 7 = 10

\displaystyle 31 - 17 = 14

\displaystyle 49 - 31 = 18

\displaystyle 71 - 49 = 22

The sequence of differences is

\displaystyle 6, 10, 14, 18, 22

. Notice that these differences increase by

\displaystyle 4

each time (an arithmetic sequence with a common difference of

\displaystyle 4

): -

\displaystyle 10 - 6 = 4

\displaystyle 14 - 10 = 4

\displaystyle 18 - 14 = 4

\displaystyle 22 - 18 = 4

Thus, the next difference in the sequence will be:

22 + 4 = 26

So, the next term in the main series is:

\text{Next Term} = 71 + 26 = 97

Hence, **Option A** is the correct answer.

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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