Directions: In the following number series one number is wrong. Find out the wrong number. 99, 98, 95, 90, 82, 74, 63
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Directions: In the following number series one number is wrong. Find out the wrong number. 99, 98, 95, 90, 82, 74, 63
98
82
95
63
74
Differences: 99-98=1, 98-95=3, 95-90=5, 90-82=8 (should be 7), 82-74=8, 74-63=11. The sequence of differences should be odd numbers: 1, 3, 5, 7, 9, 11. 90-7=83, 83-9=74. Thus, 82 is the wrong number.
The differences between the consecutive terms of the series are calculated using the subtracting prime numbers method. The differences are 1, 3, 5, 8, 8 and 11, which shows a deviation at the last few steps. The intended pattern of differences is consecutive prime numbers starting from 1: 1, 3, 5, 7, 11 and 13, meaning the fifth difference should be 7 instead of 8. Applying this, 90 minus 7 gives 83, which means 82 is the wrong number.