Find the wrong term in the following number series questions.
12,6,6,12,48,382,6144

Options

A. A)6144
B. B)6
C. C)48
D. D)382

Answer

To find the wrong term in the number series 12, 6, 6, 12, 48, 382, 6144, we can analyze the pattern of the series step by step.

### Step 1: Identify the terms
The series given is:
- First term (T1) = 12
- Second term (T2) = 6
- Third term (T3) = 6
- Fourth term (T4) = 12
- Fifth term (T5) = 48
- Sixth term (T6) = 382
- Seventh term (T7) = 6144

### Step 2: Analyze the pattern
Let's look at how each term relates to the previous term:
1. T2 = T1 * (1/2) → 12 * (1/2) = 6
2. T3 = T2 * 1 → 6 * 1 = 6
3. T4 = T3 * 2 → 6 * 2 = 12
4. T5 = T4 * 4 → 12 * 4 = 48
5. T6 = T5 * 8 → 48 * 8 = 384 (but the term is 382, which seems incorrect)
6. T7 = T6 * 16 → 384 * 16 = 6144

### Step 3: Identify the wrong term
From our analysis, we see that:
- The expected term T6 should be 384, but it is given as 382.
- Therefore, the wrong term in the series is 382.

### Conclusion
The wrong term in the series is **382**.

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