Question : Find out the wrong number in the series: 190, 166, 145, 128, 112, 100, 91
Option 1: 100
Option 2: 166
Option 3: 145
Option 4: 128
Correct Answer: 128
Solution :
Given: Sequence is 190, 166, 145, 128, 112, 100, 91.
Calculating the first difference,
190 – 166, 166 – 145, 145 – 128, 128 – 112, 112 – 100, 100 – 91
= 24, 21, 17, 16, 12, 9
All the first differences are divisible by 3 except 17 and 16.
$\therefore$ 128 is the common number that is causing this difference.
Hence, the correct answer is 128.
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