Multiple Choice Questions

Which of the following numbers will replace the question mark in the given series 35 51 76 112 ........

Logical Reasoning (CPO) Number series

Which of the following numbers will replace the question mark (?) in the given series?

35, 51, 76, 112, ?

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 3

162

158

161

164

- Let's observe the series: 35, 51, 76, 112, ?

- Calculate the differences between consecutive numbers:

- 51 - 35 = 16

- 76 - 51 = 25

- 112 - 76 = 36

- The differences are 16, 25, and 36, which are consecutive perfect squares: 4^2, 5^2, and 6^2.

- Predict the next difference: 7^2 = 49.

- Add this difference to the last number in the sequence: 112 + 49 = 161.

- Option 1: 162 (Not the correct answer)

- Option 2: 158 (Not the correct answer)

- Option 3: 161 (Correct answer)

- Option 4: 164 (Not the correct answer)

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