What will come in place of the question mark(?) in the following number series
50 37 63 24 ? 11

Options

A. 76
B. 65
C. 62
D. 102

Answer

To find the missing number in the series 50, 37, 63, 24, ?, 11, we can analyze the pattern in the series.

### Step-by-step solution:

1. **Identify the two alternating sequences**:
- The first sequence consists of the numbers in the positions: 1st (50), 3rd (63), and the unknown 5th position (?).
- The second sequence consists of the numbers in the positions: 2nd (37), 4th (24), and the last (6th) position (11).

2. **Analyze the second sequence (decreasing)**:
- From 37 to 24:
\[ 37 - 24 = 13 \]
- From 24 to 11:
\[ 24 - 11 = 13 \]
- The difference is consistently 13. Therefore, to find the number before 24 (which is the 5th position), we can add 13 to 24:
\[ 24 + 13 = 37 \]

3. **Analyze the first sequence (increasing)**:
- From 50 to 63:
\[ 63 - 50 = 13 \]
- To find the unknown number (5th position), we add 13 to 63:
\[ 63 + 13 = 76 \]

4. **Conclusion**:
- The missing number in the series is 76.

### Final Answer:
The number that comes in place of the question mark (?) is **76**.