Multiple choice

Find the wrong term in the following series. 165 , 163 , 158 , 148 , 140 , 105 , 68

  1. 163

  2. 148

  3. 140

  4. 68

  5. 105
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C Correct answer
Explanation

The pattern is: subtract consecutive odd numbers starting from 1, but increasing by odd number differences. The differences are: 165-163=2, 163-158=5, 158-148=10, 148-140=8, 140-105=35, 105-68=37. The pattern 2, 5, 10, 17, 26, 37 (each difference increases by consecutive odd numbers 3, 5, 7, 9, 11) gives: 165-2=163, 163-5=158, 158-10=148, 148-17=131, 131-26=105, 105-37=68. The term 140 should be 131.

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