Choosing a number related to a given number in the same manner as the two numbers of another given pair are related to each other
4 : 19 ::7 : ?

Options

A. 54
B. 55
C. 57
D. 59

Explanation

To solve the analogy problem \(4 : 19 :: 7 : ?\), we need to identify the relationship between the numbers in the first pair (4 and 19) and then apply the same relationship to the second pair (7 and ?).

### Step-by-Step Solution:

1. **Identify the relationship between 4 and 19:**
- We notice that \(19\) can be derived from \(4\) by multiplying \(4\) by \(5\) and then subtracting \(1\).
- Mathematically, this can be expressed as:
\[ 4 \times 5 - 1 = 20 - 1 = 19 \]

2. **Apply the same relationship to 7:**
- Now, we will apply the same operation to \(7\). We first multiply \(7\) by \(5\):
\[ 7 \times 5 = 35 \]
- Next, we subtract \(1\) from \(35\):
\[ 35 - 1 = 34 \]

3. **Conclusion:**
- Therefore, the number that corresponds to \(7\) in the same manner as \(19\) corresponds to \(4\) is \(34\).

### Final Answer:
The answer is \(34\).