21 : 3 :: 574:?

Options

A. A) 23
B. B) 82
C. C) 97
D. D) 113

Explanation

To solve the analogy question 21 : 3 :: 574 : ?, we need to identify the relationship between the first pair of numbers (21 and 3) and apply the same relationship to the second pair (574 and ?).

### Step-by-Step Solution:

1. **Identify the Relationship**:
- We start with the first pair: 21 and 3.
- To find the relationship, we can check if 21 can be divided by a certain number to yield 3.

2. **Perform the Division**:
- Dividing 21 by 7 gives us:
\[ 21 \div 7 = 3 \]
- This shows that 21 divided by 7 equals 3.

3. **Apply the Same Logic**:
- Now, we need to apply the same operation to the second number, 574.
- We will divide 574 by 7 to find the corresponding number.
- Performing the division:
\[ 574 \div 7 = 82 \]

4. **Conclusion**:
- Therefore, the answer to the analogy 21 : 3 :: 574 : ? is 82.

### Final Answer:
The answer is **82**.

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