In each of the following questions a series is given. In each one term is wrong. Find out the wrong term
4, 6, 12, 30, 75, 315, 1260

Options

A. 315
B. 75
C. 12
D. 6

Answer

To determine the wrong term in the series 4, 6, 12, 30, 75, 315, 1260, we can analyze the pattern of the series step by step.

### Step 1: Identify the series
The given series is:
4, 6, 12, 30, 75, 315, 1260

### Step 2: Look for a pattern
We will check how each term relates to the previous one.

- From 4 to 6:
\[ 6 = 4 \times 1.5 \]

- From 6 to 12:
\[ 12 = 6 \times 2 \]

- From 12 to 30:
\[ 30 = 12 \times 2.5 \]

- From 30 to 75:
\[ 75 = 30 \times 2.5 \]

- From 75 to 315:
\[ 315 = 75 \times 4.2 \]

- From 315 to 1260:
\[ 1260 = 315 \times 4 \]

### Step 3: Check the multiplication factors
Now we can summarize the multiplication factors:
- \(1.5\) from \(4\) to \(6\)
- \(2\) from \(6\) to \(12\)
- \(2.5\) from \(12\) to \(30\)
- \(2.5\) from \(30\) to \(75\)
- \(4.2\) from \(75\) to \(315\)
- \(4\) from \(315\) to \(1260\)

### Step 4: Identify the inconsistency
The pattern suggests that after \(30\), the next term should be obtained by multiplying \(30\) by \(3\) (not \(2.5\)), which gives:
\[ 30 \times 3 = 90 \]

However, the term given is \(75\), which does not fit the pattern.

### Conclusion
Thus, the wrong term in the series is \(75\). The correct term should have been \(90\).

### Final Answer
The wrong term in the series is **75**.

---