Question

Find the wrong term in the following number series: 3, 8, 12, 16, 48, 38, 192, 64

• A. 64
• B. 48
• C. 38
• D. 192

Hint:

When analyzing number series, check for alternating patterns of multiplication and addition or subtraction. If one term doesn’t fit, it may be the incorrect term.

Answer 1

The Correct Option is C

The given number series is:
\[ 3, 8, 12, 16, 48, 38, 192, 64. \] Let’s examine the pattern:
- The series seems to follow alternating multiplication and addition patterns.
- From 3 to 8: \( 3 \times 2 + 2 = 8 \)
- From 8 to 12: \( 8 \times 2 - 4 = 12 \)
- From 12 to 16: \( 12 \times 2 + 4 = 16 \)
- From 16 to 48: \( 16 \times 3 = 48 \)
However, from 48 to 38, the pattern breaks. The correct sequence should involve multiplication by a factor (like the previous steps), but instead, we have subtraction.
Thus, the incorrect term in the series is \( 38 \), and the correct term should have followed the pattern, such as \( 48 \times 2 \).