Direction : Select the related word/letters/number from the given alternatives :
12: 18: : 80:? / निर्देश : निम्नलिखित प्रत्येक प्रश्न में दिये गये विकल्पों में से संबंधित अक्षर/शब्द/संख्या को चुनिए :
`12: 18: : 80:?`

Options

A. 125
B. 100
C. 120
D. 122

Explanation

To solve the problem, we need to find the relationship between the numbers in the first pair (12 and 18) and then apply that same relationship to the second pair (80 and ?).

### Step-by-Step Solution:

1. **Identify the relationship in the first pair (12 and 18)**:
- The ratio of 12 to 18 can be simplified.
- Divide both numbers by their greatest common divisor, which is 6:
- \( \frac{12}{6} = 2 \)
- \( \frac{18}{6} = 3 \)
- This gives us a ratio of 2:3.

2. **Apply the same ratio to the second number (80)**:
- We need to find the number that corresponds to 80 using the same ratio of 2:3.
- Let’s denote the unknown number as \( x \).
- According to the ratio, we can set up the equation:
- \( \frac{80}{x} = \frac{2}{3} \)

3. **Cross-multiply to solve for \( x \)**:
- Cross-multiplying gives us:
- \( 2x = 80 \times 3 \)
- \( 2x = 240 \)

4. **Solve for \( x \)**:
- Divide both sides by 2:
- \( x = \frac{240}{2} = 120 \)

5. **Conclusion**:
- The number that corresponds to 80 in the same ratio is 120.

### Final Answer:
**120**