In this type of question , two groups of letters related to each other in same way are given . It is requird to find out this relationship and then choose either a letter-group of a pair consisting of similarly related letter-groups out of the given four alternatives.
`(T)/(J) : 2 :: (X)/(H) : ?`

Options

A. 2
B. 3
C. `(23)/(7)`
D. 4

Explanation

To solve the analogy question `(T)/(J) : 2 :: (X)/(H) : ?`, we need to identify the relationship between the letters in the first pair and then apply that same relationship to the second pair.

### Step-by-Step Solution:

1. **Identify the Place Values**:
- The place value of T is 20 (T is the 20th letter of the alphabet).
- The place value of J is 10 (J is the 10th letter of the alphabet).

2. **Calculate the Relationship for the First Pair**:
- We need to find the relationship between T and J. We can do this by dividing the place value of T by the place value of J.
- Calculation: \( \frac{20}{10} = 2 \)
- This confirms that the relationship between T and J is that the place value of T divided by the place value of J equals 2.

3. **Identify the Place Values for the Second Pair**:
- The place value of X is 24 (X is the 24th letter of the alphabet).
- The place value of H is 8 (H is the 8th letter of the alphabet).

4. **Calculate the Relationship for the Second Pair**:
- Now we apply the same relationship to the second pair (X and H).
- Calculation: \( \frac{24}{8} = 3 \)

5. **Conclusion**:
- Therefore, the relationship for (X)/(H) is 3. Thus, the answer to the question is 3.

### Final Answer:
The answer is 3.