Select the option that will replace the question mark in the given series 45 46 42 51 35 ........

Logical Reasoning (MTS) Number series

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

45, 46, 42, 51, 35, ?

This questions was previously asked in

SSC MTS 22nd July 2022 Shift-2

Let's analyze the series: 45, 46, 42, 51, 35, ?

- Begin with 45, add 1 to get the second number: 46

- Subtract 4 from 46 to get the third number: 42

- Add 9 to 42 to get the fourth number: 51

- Subtract 16 from 51 to get the fifth number: 35

This series alternates between adding perfect squares (1, 9, 25, ...) and subtracting consecutive perfect squares (4, 16, 36, ...).

- Next, we add 25 to get the missing number: 35 + 25 = 60

Therefore, the sequence should be continued with option 1 - 60.

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