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Question

Find the next number:

34, 46, 58, 70, ____

This question was previously asked in
RRB Group D 2018 Question Paper (11-Oct-2018) (Shift 3)
The correct answer is

82

Find the common difference between consecutive terms in the sequence 34, 46, 58, 70. Compute \(46 - 34 = 12\), \(58 - 46 = 12\) and \(70 - 58 = 12\).

Every gap is 12, so this is an arithmetic progression with first term 34 and common difference 12. The next term is obtained by adding 12 once more to the last known term: \(70 + 12 = 82\).

The other options 80, 81 and 78 come from adding a wrong constant such as 10, 11 or 8, none of which matches the observed gap of 12.

Hence, 82.

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