What will come in place of question mark(?) in given number series.
63 65 61 69 53 ?

Options

A. 95
B. 83
C. 92
D. 85

Answer

To solve the number series: 63, 65, 61, 69, 53, ?, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the first two numbers:**
- Start with 63 and 65.
- To get from 63 to 65, we add 2.
- Calculation: \( 63 + 2 = 65 \)

**Hint:** Look for the operation (addition or subtraction) between the numbers.

2. **Identify the next operation:**
- Now, from 65 to 61, we subtract 4.
- Calculation: \( 65 - 4 = 61 \)

**Hint:** Alternate between addition and subtraction to find the next number.

3. **Continue the pattern:**
- From 61 to 69, we add 8.
- Calculation: \( 61 + 8 = 69 \)

**Hint:** Keep track of the numbers you are adding or subtracting.

4. **Next operation:**
- From 69 to 53, we subtract 16.
- Calculation: \( 69 - 16 = 53 \)

**Hint:** Notice the pattern in the numbers being added or subtracted.

5. **Identify the pattern in the operations:**
- The operations are: +2, -4, +8, -16.
- The numbers added or subtracted are powers of 2: \( 2^1, 2^2, 2^3, 2^4 \).

6. **Determine the next operation:**
- Following the pattern, the next operation should be addition, and we will add \( 2^5 \) which is 32.
- Calculation: \( 53 + 32 = 85 \)

**Hint:** Recognize the pattern in the powers of 2 to predict the next number.

7. **Final answer:**
- The value that comes in place of the question mark (?) is 85.

### Conclusion:
The answer to the question is **85**.