Select the option that will replace the question mark in the given series 48 52 61 77 102 ........

Logical Reasoning (MTS) Number series

Select the option that will replace the question mark (?) in the given series.

48, 52, 61, 77, 102, ?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-2

148

128

238

138

- The series starts with consecutive numbers: 48, 52, 61, 77, 102, and ends with the unknown number.

- The differences between the numbers are as follows:

- 52 - 48 = 4

- 61 - 52 = 9

- 77 - 61 = 16

- 102 - 77 = 25

- These differences (4, 9, 16, 25) are perfect squares: 2², 3², 4², 5².

- The pattern involves adding consecutive perfect squares.

- Continuing this pattern, add the next perfect square: 6² = 36 to 102.

- 102 + 36 = 138

- Therefore, the next number should be 138.

- Option:4 is 138.

- Correct Answer is Option:4 – 138.

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