In this letter analogy, “BEF is to GJK as LOP is to ______”. Choose the group of letters that results from applying the same alphabet shift rule to LOP.

Introduction / Context:
This is a standard letter coding analogy. We are given one pair of letter groups, “BEF : GJK”, and must apply the same alphabet shift to another group, “LOP”, to obtain the correct related group. These questions help to assess your ability to manipulate letter positions consistently using simple arithmetic.

Given Data / Assumptions:

• Known mapping: BEF → GJK. • Unknown mapping: LOP → ? • Options: QUV, QTU, QST, QUT. • Letters are mapped within A = 1, B = 2, ..., Z = 26 with straightforward shifts.

Concept / Approach:
We look at how each letter in BEF changes to the corresponding letter in GJK. If we find that every letter is shifted forward by the same count, we can repeat that same shift for each letter in LOP. Because BEF and GJK are of the same length, position wise comparison is direct and unambiguous.

Step-by-Step Solution:
Step 1: Convert BEF into numeric positions. B = 2, E = 5, F = 6. Step 2: Convert GJK into numeric positions. G = 7, J = 10, K = 11. Step 3: Check the shifts for each position. • 2 → 7: 2 + 5 = 7. • 5 → 10: 5 + 5 = 10. • 6 → 11: 6 + 5 = 11. All letters are shifted forward by +5 positions. Step 4: Apply the same +5 shift to LOP. L = 12; 12 + 5 = 17 → Q. O = 15; 15 + 5 = 20 → T. P = 16; 16 + 5 = 21 → U. Step 5: The resulting group is Q T U (QTU).

Verification / Alternative check:
To verify, we can run the process backwards. Subtracting 5 from each letter in GJK gives B (7 − 5), E (10 − 5), F (11 − 5), matching the original group. Similarly, subtracting 5 from QTU returns L (17 − 5), O (20 − 5), and P (21 − 5). This shows the mapping is perfectly reversible and confirms that QTU is the only correct choice consistent with the discovered rule.

Why Other Options Are Wrong:
• QUV: After Q, letters U and V reflect a shift of +5 from O and P, but the middle letter does not match the proper +5 shift from O. • QST: Letters S and T do not come from adding 5 to O and P; the sequence fails the uniform shift test. • QUT: The middle and last letters do not correspond correctly to the uniform +5 shift from O and P.

Common Pitfalls:
Some students select an option that starts with Q and ends with U simply because that pattern looks similar, without checking the middle letter carefully. Others attempt varying shifts for different letters, even though the first pair clearly uses a constant shift. To avoid these mistakes, always compute the exact shift from each original letter and apply it consistently to all positions.

Final Answer:
The correct related group of letters is QTU.