Multiple choice

Passage

Section A : Logical Reasoning Positive Mark : +1 Negative Mark: 0

Find the missing number in the following series:12, 13, 17, 26, 42, ?

  1. 52

  2. 56

  3. 61

  4. 67
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D Correct answer
Explanation

Differences: 1, 4, 9, 16. These are squares of 1, 2, 3, 4. The next difference should be 5^2 = 25. 42 + 25 = 67.

AI explanation

The differences between the consecutive terms are squares of successive integers. The first difference is 13 minus 12, which is 1 squared. The next differences are 17 minus 13 equals 4 (2 squared), 26 minus 17 equals 9 (3 squared), and 42 minus 26 equals 16 (4 squared). The next difference must be 5 squared, which is 25, so adding 25 to 42 gives 67.

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