Select the option in which the numbers DO NOT share the same relationship as that shared by the given set of numbers.
(7, 49, 63)

Options

A. (6, 42, 54)
B. (3, 21, 27)
C. (5, 25, 40)
D. (8, 56, 72)

Answer

To solve the problem, we need to analyze the relationship between the numbers in the given set (7, 49, 63) and then check which of the provided options does not share the same relationship.

### Step-by-Step Solution:

1. **Identify the Relationship in the Given Set (7, 49, 63):**
- The first number is 7.
- The second number is 49, which can be expressed as \(7 \times 7\).
- The third number is 63, which can be expressed as \(7 \times 9\).
- Therefore, the relationship can be summarized as:
- First number: \(7\)
- Second number: \(7 \times 7\)
- Third number: \(7 \times 9\)

2. **Analyze Each Option:**
- **Option A: (6, 42, 54)**
- \(6 \times 7 = 42\)
- \(6 \times 9 = 54\)
- This follows the same pattern.

- **Option B: (3, 21, 27)**
- \(3 \times 7 = 21\)
- \(3 \times 9 = 27\)
- This also follows the same pattern.

- **Option C: (5, 25, 40)**
- \(5 \times 5 = 25\) (not \(5 \times 7\))
- \(5 \times 8 = 40\) (not \(5 \times 9\))
- This does not follow the same pattern.

- **Option D: (8, 56, 72)**
- \(8 \times 7 = 56\)
- \(8 \times 9 = 72\)
- This follows the same pattern.

3. **Conclusion:**
- The option that does not share the same relationship as the given set (7, 49, 63) is **Option C: (5, 25, 40)**.

### Final Answer:
**Option C: (5, 25, 40)** does not share the same relationship.