Let's analyze the given number series: 21, 27, 48, 75, 123, 198, 323.
The pattern here appears to be that each number is increasing by a different amount in each step. Let's calculate the differences between consecutive terms to see if we can find a consistent pattern:
27 - 21 = 6 48 - 27 = 21 75 - 48 = 27 123 - 75 = 48 198 - 123 = 75 323 - 198 = 125
Now, let's examine the differences between terms:
6, 21, 27, 48, 75, 125
It seems that the differences between consecutive terms are not following a consistent pattern. However, if we look closely, we can see that the difference between the last two terms, 75 and 125, is significantly larger than the other differences. Therefore, the wrong number in the series is likely the last number, 323, because it does not follow the same pattern as the others in terms of differences. The correct number should have a difference that aligns with the pattern established by the other numbers in the series.
So, the wrong number is 323.
The Correct option is(B)