Find out the wrong number in the series given below :
$15, 18, 20, 29, 45, 70, 106$

18

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20

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29

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45

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Solution

The correct option is A $18$
Starting from the back, we have
$106 - 70 = 36, 70 - 45 = 25, 45 - 29 = 16, 29 - 20 = 9, 20 - 16 = 4, 16 - 15 = 1.$
Each difference is a perfect square starting from $36$ and decreasing.
Thus, the wrong number is $18,$ it should be $16.$

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