What should come in place of the question mark (?) in the following number series ?
(निम्नलिखित संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आना चाहिए?)
`4" "8" "24" "60" "?" "224`

Options

A. 124
B. 96
C. 109
D. 141

Answer

To solve the number series: 4, 8, 24, 60, ?, 224, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the first term and the second term:**
- The first term is 4.
- The second term is 8.

2. **Calculate the difference between the first and second terms:**
- \(8 - 4 = 4\)
- Notice that \(4\) can be expressed as \(2^2\).

3. **Identify the second and third terms:**
- The second term is 8.
- The third term is 24.

4. **Calculate the difference between the second and third terms:**
- \(24 - 8 = 16\)
- Notice that \(16\) can be expressed as \(4^2\).

5. **Identify the third and fourth terms:**
- The third term is 24.
- The fourth term is 60.

6. **Calculate the difference between the third and fourth terms:**
- \(60 - 24 = 36\)
- Notice that \(36\) can be expressed as \(6^2\).

7. **Identify the pattern in the differences:**
- The differences are \(4\), \(16\), and \(36\), which correspond to \(2^2\), \(4^2\), and \(6^2\) respectively.
- The pattern in the squares is increasing by \(2\) each time: \(2, 4, 6\).

8. **Predict the next difference:**
- Following the pattern, the next difference should be \(8^2 = 64\).

9. **Calculate the next term:**
- Add the predicted difference to the fourth term:
- \(60 + 64 = 124\).

10. **Verify the next term with the last term in the series:**
- The fifth term we calculated is 124.
- The last term in the series is 224.
- Now, calculate the difference between the fifth term and the last term:
- \(224 - 124 = 100\), which is \(10^2\), consistent with our pattern.

### Conclusion:
The number that should come in place of the question mark (?) is **124**.