Question Details

37, 50, 65, 82, 101, 122, 143
Find the wrong number in the following number series.

Options

A

37

B

143

C

101

D

82

Show Answer

Correct Answer :

Option B

143

Solution :

The correct option is 143.

To find the wrong number in the given series, let us analyze the pattern followed by the numbers in the sequence:

37, 50, 65, 82, 101, 122, 143

Let us express each term in relation to consecutive squares:

62+1=36+1=37

72+1=49+1=50

82+1=64+1=65

92+1=81+1=82

102+1=100+1=101

112+1=121+1=122

122+1=144+1=145

Alternatively, we can look at the differences between consecutive terms:
50 - 37 = 13
65 - 50 = 15
82 - 65 = 17
101 - 82 = 19
122 - 101 = 21
The differences are consecutive odd numbers starting from 13.
Following this pattern, the next difference should be 23:
122 + 23 = 145

Therefore, the last number should be 145 instead of 143. Hence, 143 is the wrong number in the series.

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