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Question

Select the option that completes the series by filling in the blank.

90, 96, 105, 117, 132, _____

This question was previously asked in
SSC GD Constable 2018 Question Paper PDF Hindi (8-Mar-2019) (Shift 3)
The correct answer is

150

150 is correct.

Find the difference between each pair of consecutive terms: \(96-90=6\), \(105-96=9\), \(117-105=12\), \(132-117=15\).

The differences 6, 9, 12, 15 are consecutive multiples of 3, rising by 3 each time. So the next difference must be \(15+3=18\).

Missing term = \(132+18=150\).

The other values would need differences of 16 (148), 10 (142) or 20 (152), none of which continues the +3 growth of the differences.

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