In this letter analogy, BF is related to HL in a specific pattern. Using the same pattern, EI is related to which of the following letter pairs?

Introduction / Context:
This question is a letter analogy based on positions in the English alphabet. The pair BF and HL is given, and the same transformation must be applied to EI to obtain the correct option. These questions test comfort with alphabet positions and simple shifts.

Given Data / Assumptions:
1) The first pair is BF and HL.
2) The second pair involves EI and an unknown pair from KO, KN, JN, and JO.
3) The English alphabet positions are A = 1, B = 2, C = 3, and so on up to Z = 26.
4) The relationship should be the same for both pairs of letters.

Concept / Approach:
We first convert each letter to its numerical position in the alphabet and then look for a consistent shift. For BF to become HL, we look at how many steps forward each letter moves. If we find the same shift for both letters, we can apply that shift to EI and then convert back to letters to obtain the answer.

Step-by-Step Solution:
Step 1: Convert B and F into numbers. B is the 2nd letter and F is the 6th letter. Step 2: Convert H and L into numbers. H is the 8th letter and L is the 12th letter. Step 3: Find the shift from B to H. The difference is 8 minus 2 which equals 6, so we add 6. Step 4: Find the shift from F to L. The difference is 12 minus 6 which also equals 6, so again we add 6. Step 5: Conclude that the rule is to add 6 to the position of each letter. Step 6: Now apply the rule to EI. E is the 5th letter, so 5 plus 6 equals 11, which corresponds to K. I is the 9th letter, so 9 plus 6 equals 15, which corresponds to O. Step 7: Therefore EI becomes KO under the same transformation.

Verification / Alternative check:
Verify by checking whether any other option could fit the same rule. The pair KO matches exactly because K and O are at positions 11 and 15, which are 6 steps ahead of 5 and 9. None of the other options KN, JN, or JO match this pattern for both letters at once. This confirms that KO is uniquely correct.

Why Other Options Are Wrong:
KN has 11 and 14, so the second letter has moved by only 5 positions from 9. JN has 10 and 14, which are not both 6 steps ahead of 5 and 9. JO has 10 and 15, again mismatching the required shift. These inconsistencies show that only KO faithfully follows the add 6 rule for both letters.

Common Pitfalls:
Students sometimes look only at the first letter and ignore the second one, leading to partial matches that are actually wrong. Others miscount positions in the alphabet. To avoid this, always check the shift for both letters and be careful to count the steps correctly from A onward.

Final Answer:
Thus, EI is related to KO in the same way that BF is related to HL. The correct answer is KO.