Question :
In the Following question, select the related letter pair from the given alternatives. KW : FR :: ?
Option :
-
OC : CP
-
AB : BM
-
BM : WO
-
IU : DP
correct answer : d)
Solution to the Letter Pair Analogy Question
**Given Pair:**
KW : FR
**Question:**
KW : FR :: ?
**Options:**
a) OC : CP
b) AB : BM
c) BM : WO
d) IU : DP
**Correct Answer:**
**d) IU : DP**
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### **Step-by-Step Explanation:**
#### **1. Analyzing the Given Pair (KW : FR):**
We need to find the relationship between the letters in “KW” and “FR”.
– **Letter Positions in the Alphabet:**
– K = 11th letter
– W = 23rd letter
– F = 6th letter
– R = 18th letter
– **Observing the Pattern:**
– For **K (11) → F (6):**
Subtract 5: \( 11 – 5 = 6 \).
– For **W (23) → R (18):**
Subtract 5: \( 23 – 5 = 18 \).
**Relationship:**
Each letter in “KW” is **shifted back by 5 positions** to get “FR”.
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#### **2. Applying the Same Logic to the Options:**
We check which option follows the same pattern (each letter shifted back by 5).
– **Option a) OC : CP**
– O (15) → C (3): \( 15 – 12 = 3 \)
– C (3) → P (16): \( 3 + 13 = 16 \)
– **Inconsistent shifts (not -5).**
– **Option b) AB : BM**
– A (1) → B (2): \( 1 + 1 = 2 \)
– B (2) → M (13): \( 2 + 11 = 13 \)
– **Inconsistent shifts (not -5).**
– **Option c) BM : WO**
– B (2) → W (23): \( 2 + 21 = 23 \)
– M (13) → O (15): \( 13 + 2 = 15 \)
– **Inconsistent shifts (not -5).**
– **Option d) IU : DP**
– I (9) → D (4): \( 9 – 5 = 4 \)
– U (21) → P (16): \( 21 – 5 = 16 \)
– **Perfect match!**
—
### **Conclusion:**
The correct pair is **IU : DP** because it follows the same pattern as **KW : FR**:
– Each letter in the first pair is **shifted back by 5 positions** to get the second pair.
**Final Answer:**
**d) IU : DP**
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### **Key Takeaway:**
For letter-pair analogy questions:
1. Assign each letter its **alphabet position (A=1, B=2, …, Z=26)**.
2. Look for **consistent arithmetic relationships** (e.g., +5, -5, ×2) between corresponding letters.
3. Verify the pattern across all options.
In this case, the relationship was a **uniform backward shift of 5 letters**. Only **Option d)** satisfied this rule.