7:48 :: 11 : ?

Options

A. 120
B. 119
C. 121
D. 122

Explanation

To solve the analogy problem \( 7:48 :: 11:? \), we need to find the value that corresponds to 11 in the same way that 48 corresponds to 7.

### Step-by-Step Solution:

1. **Understand the given ratio**: The first part of the analogy is \( 7:48 \). This means that we need to find a relationship between 7 and 48.

2. **Identify the relationship**: We can express 48 in terms of 7. Notice that:
\[ 48 = 7 \times (7 - 1) = 7 \times 6 \]
Here, we multiplied 7 by one less than itself (which is 6).

3. **Set up the second part of the analogy**: Now we need to apply the same relationship to the second part of the analogy, which is \( 11:? \).

4. **Calculate the unknown**: Using the same relationship:
\[ ? = 11 \times (11 - 1) = 11 \times 10 = 110 \]

5. **Final answer**: Therefore, the value that corresponds to 11 in the analogy is:
\[ 11:110 \]

### Conclusion:
The complete analogy is \( 7:48 :: 11:110 \).