What will come in place of question mark (?) in the following series questions?
128,?,32,16,8,4

Options

A. A)64
B. B)60
C. C)68
D. D)56

Answer

To solve the series: 128, ?, 32, 16, 8, 4, we need to find the missing term represented by the question mark (?).

### Step-by-Step Solution:

1. **Identify the Known Terms**:
The series starts with 128 and ends with 4. The known terms are:
- First term: 128
- Second term: ?
- Third term: 32
- Fourth term: 16
- Fifth term: 8
- Sixth term: 4

2. **Look for a Pattern**:
To find the missing term, we need to identify the relationship between the terms.
- From 32 to 16: 32 ÷ 2 = 16
- From 16 to 8: 16 ÷ 2 = 8
- From 8 to 4: 8 ÷ 2 = 4

We can see that each term after 32 is obtained by dividing the previous term by 2.

3. **Apply the Pattern Backwards**:
Now, let's apply the same pattern in reverse to find the missing term:
- From 16 to 32: 16 × 2 = 32
- From the missing term (?) to 128: We need to find what multiplied by 2 gives us 32.

4. **Calculate the Missing Term**:
Let’s denote the missing term as K.
- K × 2 = 32
- To find K, divide both sides by 2:
K = 32 ÷ 2 = 16

5. **Find K in Relation to 128**:
Now we can check:
- If we go backwards from 32 to K, we need to find K such that K = 128 ÷ 2.
- K = 128 ÷ 2 = 64.

6. **Conclusion**:
Therefore, the missing term (?) in the series is 64.

### Final Answer:
The missing term is **64**.