Choose the best alternatives in place of ? out of the four given alternatives (a), (b), (c), (d).
`MK : (169)/(121): JH : ? `

Options

A. `(100)/(64)`
B. `(100)/(81)`
C. `(64)/(120)`
D. `(81)/(100)`

Answer

To solve the analogy problem MK : (169)/(121) : JH : ?, we will follow the same pattern used in the first part of the analogy.

### Step-by-Step Solution:

1. **Identify the Place Values**:
- For the letters M and K:
- M is the 13th letter of the alphabet, so its place value is 13.
- K is the 11th letter of the alphabet, so its place value is 11.

2. **Square the Place Values**:
- Now, we square the place values:
- M's place value: \( 13^2 = 169 \)
- K's place value: \( 11^2 = 121 \)

3. **Write the Fraction**:
- This gives us the fraction \( \frac{169}{121} \).

4. **Now for JH**:
- For the letters J and H:
- J is the 10th letter of the alphabet, so its place value is 10.
- H is the 8th letter of the alphabet, so its place value is 8.

5. **Square the Place Values for JH**:
- Now, we square the place values:
- J's place value: \( 10^2 = 100 \)
- H's place value: \( 8^2 = 64 \)

6. **Write the New Fraction**:
- This gives us the fraction \( \frac{100}{64} \).

7. **Final Answer**:
- Therefore, the answer to the analogy JH : ? is \( \frac{100}{64} \).