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.
BC : FG :: ? : ?

Options

A. PQ : ST
B. HI : LM
C. AD : PQ
D. JK : LM

Explanation

To solve the analogy question BC : FG :: ? : ?, we need to identify the relationship between the letters in the first pair (BC and FG) and then apply the same relationship to find the missing pair.

### Step-by-Step Solution:

1. **Identify the Relationship in the First Pair (BC : FG)**:
- Look at the first letter of the first pair: B.
- Find the position of B in the alphabet: B is the 2nd letter.
- Now look at the first letter of the second pair: F.
- Find the position of F in the alphabet: F is the 6th letter.
- The difference between the positions of B and F is 6 - 2 = 4. This means that F is 4 positions ahead of B.

2. **Check the Second Letter of the First Pair**:
- Now look at the second letter of the first pair: C.
- Find the position of C in the alphabet: C is the 3rd letter.
- Now look at the second letter of the second pair: G.
- Find the position of G in the alphabet: G is the 7th letter.
- The difference between the positions of C and G is 7 - 3 = 4. This means that G is also 4 positions ahead of C.

3. **Apply the Same Relationship to Find the Missing Pair**:
- We need to find a pair of letters (let's call them X and Y) such that Y is 4 positions ahead of X.
- We will check the provided options to find such a pair.

4. **Evaluate the Options**:
- **Option 1: P, Q, S, T**
- P is the 16th letter. 16 + 4 = 20, which is T (20th letter).
- This option maintains the same relationship.
- **Option 2: H, I, L, M**
- H is the 8th letter. 8 + 4 = 12, which is L (12th letter).
- This option also maintains the same relationship.
- **Option 3: A, B, C, D**
- A is the 1st letter. 1 + 4 = 5, which is E (not in the options).
- **Option 4: X, Y, Z, A**
- X is the 24th letter. 24 + 4 = 28, which is not a valid letter in the alphabet.

5. **Conclusion**:
- Both Option 1 (P, T) and Option 2 (H, L) maintain the same relationship as BC : FG.
- However, since we need to choose one, we can see that Option 2 (H, L) is the most fitting answer as it directly follows the pattern established by the first pair.

### Final Answer:
The correct answer is **Option 2: H, L**.