What should come in place of question mark lsquo rsquo in the following number series 4 9 25 49 169 ........

What should come in place of question mark ‘?’ in the following number series?

4, 9, 25, 49, ?, 169

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RRB Clerk Prelims (19 Aug, 2023 Shift 1)

121

100

125

- The numbers in the series are perfect squares:

- \(4 = 2^2\)

- \(9 = 3^2\)

- \(25 = 5^2\)

- \(49 = 7^2\)

- The missing number should be a perfect square of the next odd number sequence.

- The sequence of numbers whose squares are in the series is: 2, 3, 5, 7.

- The next odd number following 7 is 11.

- Square of 11 is \(11^2 = 121\).

- Among the given options, Option 2 is 121.

Option 2: 121

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