In this letter analogy question, select the related group of letters from the given alternatives to complete the pattern: ACF : GIL :: OQT : ?

Introduction / Context:
This question is a letter analogy problem where you must determine how one group of letters is transformed into another and then apply the same transformation to a new group. The given relation is ACF : GIL, and you must decide which option should pair with OQT. These kinds of questions are common in reasoning tests and evaluate your comfort with alphabet positions and consistent shifts across multiple letters.

Given Data / Assumptions:
The first letter group is ACF.
The second letter group paired with it is GIL.
The new group given is OQT, and we must find its corresponding group from the options.
The options are VXY, UWZ, RSV, VXZ, and TVX.
We assume that the same pattern used to convert ACF into GIL must be applied to OQT to obtain the correct answer.

Concept / Approach:
For letter analogies, a systematic way to detect the pattern is to convert each letter into its position in the alphabet and then look for a consistent shift, either forward or backward. A simple constant shift, such as adding or subtracting the same number, is very common in exam questions because it is easy to check yet still tests attention to detail. Here, we will compare the positions of the letters in ACF and GIL to find the rule, then apply that rule to OQT.

Step-by-Step Solution:
Step 1: Note the alphabet positions of ACF. A = 1, C = 3, F = 6.Step 2: Note the positions of GIL. G = 7, I = 9, L = 12.Step 3: Compute the shift from A to G: 1 to 7 is a change of plus 6.Step 4: Compute the shift from C to I: 3 to 9 is also plus 6.Step 5: Compute the shift from F to L: 6 to 12 is again plus 6.Step 6: Thus, the transformation from ACF to GIL is obtained by adding 6 to the position of each letter.Step 7: Apply the same rule to OQT. Positions are O = 15, Q = 17, T = 20. Adding 6 to each gives 21, 23, and 26, which correspond to U, W, and Z respectively, so we get UWZ.

Verification / Alternative check:
We can quickly check by directly moving forward six letters in the alphabet from O, Q, and T. O forward by 6 gives P, Q, R, S, T, U, arriving at U. Q forward by 6 gives R, S, T, U, V, W, arriving at W. T forward by 6 gives U, V, W, X, Y, Z, arriving at Z. The resulting group UWZ matches option UWZ exactly. None of the other options follows a consistent shift of plus 6 from OQT, so UWZ is uniquely correct.

Why Other Options Are Wrong:
Option VXY does not correspond to a uniform shift of plus 6 from OQT, because O to V is plus 7 and T to Y is plus 5, so the pattern breaks.
Option RSV has letters much closer to OQT and does not result from adding a constant value to all three letters.
Option VXZ again gives inconsistent shifts and does not preserve the same movement used in the original pair ACF and GIL.
Option TVX even repeats T from the original group and fails to represent a constant forward shift, clearly violating the logic of the analogy.

Common Pitfalls:
Candidates sometimes compare letter shapes visually or guess based on familiarity without checking the numeric positions. Some also look only at the first letter of each group instead of verifying the pattern across all letters. In letter analogy questions, the key is to ensure that the same arithmetic operation applies to each letter in the group. Converting letters to numbers and systematically checking the difference is the most reliable method to avoid mistakes.

Final Answer:
Therefore, following the same plus six letter shift as in ACF : GIL, the correct completion of the analogy OQT : ? is UWZ.