In a certain letter code BE is related to GJ in a particular way. According to the same pattern of coding, to which pair of letters will PS be related?

Introduction / Context:
This is a coding analogy question. The pair BE is coded as GJ, and we must apply the same rule to the pair PS in order to find its coded equivalent. Letter coding problems like this are frequently used in reasoning exams to test your understanding of alphabet positions and ability to recognise consistent shifts in letters.

Given Data / Assumptions:

In the given code, BE maps to GJ.
We assume a straightforward positional shift in the alphabet rather than any complex rearrangement.
We must apply the same operation to the pair PS.
The English alphabet from A to Z is used with positions A 1, B 2, ..., Z 26.

Concept / Approach:
We first determine the one step rule that converts B to G and E to J. If we convert letters to numbers, B is 2 and G is 7, E is 5 and J is 10. In both cases, the difference is plus 5, which suggests that each letter of the original pair is shifted forward by five positions in the alphabet. We must now apply this plus five shift to P and S and then convert the resulting positions back to letters to find the correct coded form for PS.

Step-by-Step Solution:

Verification / Alternative check:
You can verify the consistency of the rule by checking that adding five to both letters of BE yields GJ, and adding five to both letters of PS yields UX. Since we do not exceed 26 in either conversion for PS, no wrapping around the alphabet is needed. Comparing all options, only UX reflects the exact result of the plus five shift for both letters, which confirms the correctness of this choice.

Why Other Options Are Wrong:

VX shifts P by 5 to U but shifts S by 3 to V, so it does not apply the same shift to both letters and fails to respect the pattern.

TU shifts P to T (+4) and S to U (+2), which again does not follow the consistent +5 shift discovered from BE to GJ.

TV produces letters that do not correspond to a fixed +5 transformation from both P and S, so it cannot be derived from the rule used in the original pair.

Common Pitfalls:
Some candidates only look at one letter of the original pair when determining the shift and may miscalculate. Others forget to convert letters to positions and instead attempt to do it visually, which can lead to off by one errors. Always convert letters into numbers, compute the exact shift and then apply the shift consistently to all letters to avoid such mistakes in letter coding analogies.

Final Answer:
Using the same coding rule that converts BE into GJ, the pair PS is related to UX.