Select the number from among the given options that can replace the question mark in the following s...........

Logical Resoning (CGL) Analogy

Select the number from among the given options that can replace the question mark (?) in the following series.

16, 35, ?, 217, 653, 1309

This questions was previously asked in

SSC CGL 12th April 2022 Shift-1

128

107

- To find the missing number in the series, observe the pattern in the given numbers: 16, 35, ?, 217, 653, 1309.

- First, analyze the differences between successive numbers:

- Difference between 35 and 16 is 19.

- Difference between 217 and 35 is 182.

- Difference between 653 and 217 is 436.

- Difference between 1309 and 653 is 656.

- Check if the differences or the pattern of how differences are increasing follow a known pattern.

- Observe that the differences here (19, 182, 436, 656...) seem unusual for a simple arithmetic or geometric progression.

- Checking the correct sequence:

- Calculate the difference between successive terms.

- Find the pattern of differences.

- Addresses:

- 36 would yield: 19, 107, 110, 435, 656.

- Here, you can see the differences can be seen with increasing values.

- Hence, 107 fits into the sequence completing it: 16, 35, 107, 217.

- Option 4 (107) fits the sequence, and is correct.

Therefore, Option 4 - 107 is the correct answer.

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