Question
Find the wrong number in the given number series.
4, 7, 12, 19, 30, 43, 61Solution
Look at the differences between consecutive terms: 7 − 4 = 3 12 − 7 = 5 19 − 12 = 7 30 − 19 = 11 43 − 30 = 13 61 − 43 = 18 We can see that initially the differences are prime numbers: 3, 5, 7, 11, 13, ... The next prime after 13 is 17, so the correct last difference should be 17, not 18. So the correct last term: 43 + 17 = 60 The intended series: 4, 7, 12, 19, 30, 43, 60 Given term 61 breaks the pattern. Hence, 61 is the wrong number.
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