`{:(12,47,152,467,1412,4247),(33,(a),(b),(c),(d),(e)):}`
What will come in the place of (d) ?

Options

A. 3131
B. 1133
C. 3311
D. 3113

Explanation

To solve the problem, we need to analyze the given series and find the pattern that leads us to the value of (d).

### Step-by-Step Solution:

1. **Identify the First Series**:
The first series given is: 12, 47, 152, 467, 1412, 4247.

2. **Find the Pattern**:
We need to find a relationship between consecutive terms. Let's look closely:
- From 12 to 47:
- \( 12 \times 3 + 11 = 36 + 11 = 47 \)
- From 47 to 152:
- \( 47 \times 3 + 11 = 141 + 11 = 152 \)
- From 152 to 467:
- \( 152 \times 3 + 11 = 456 + 11 = 467 \)
- From 467 to 1412:
- \( 467 \times 3 + 11 = 1401 + 11 = 1412 \)
- From 1412 to 4247:
- \( 1412 \times 3 + 11 = 4236 + 11 = 4247 \)

The pattern is: Multiply the previous term by 3 and then add 11.

3. **Confirm the Pattern**:
We can confirm that the pattern holds for all the terms in the first series.

4. **Apply the Same Pattern to the Second Series**:
The second series starts with 33, and we need to find (d).
- First term:
- \( 33 \times 3 + 11 = 99 + 11 = 110 \) (This is the second term)
- Second term:
- \( 110 \times 3 + 11 = 330 + 11 = 341 \) (This is the third term)
- Third term:
- \( 341 \times 3 + 11 = 1023 + 11 = 1034 \) (This is the fourth term)
- Fourth term (d):
- \( 1034 \times 3 + 11 = 3102 + 11 = 3113 \) (This is the fifth term)

5. **Conclusion**:
The value that comes in place of (d) is **3113**.