Select the related letter pair that completes the analogy: GI is related to HJ in the same way as PR is related to which of the following?

Introduction / Context:
This question uses a simple alphabet shift analogy. The pair GI : HJ indicates that each letter in the first pair has been shifted forward in the alphabet by the same amount to produce the second pair. We must detect that shift and apply it to the new pair PR to identify the correct completion. Such questions appear frequently in logical reasoning and test the ability to work with alphabet positions in a systematic way.

Given Data / Assumptions:
- First pair: GI is transformed into HJ.
- Second pair: PR must transform into an unknown pair from the options.
- We use standard English alphabet positions with A = 1, B = 2, and so on.
- The shift is expected to be the same for each letter within the pair GI : HJ.

Concept / Approach:
Begin by assigning alphabet positions. G is the 7th letter, H is the 8th letter. I is the 9th letter, and J is the 10th letter. So G moves forward to H by plus one, and I moves forward to J also by plus one. This reveals a simple pattern: each letter is shifted forward by one position. Next we apply the same rule to P and R. P is the 16th letter, and moving forward one step gives Q (17th). R is the 18th letter, and moving forward one step gives S (19th). Therefore PR becomes QS under the same rule.

Step-by-Step Solution:
Step 1: Write the first pair GI : HJ and determine the shift from G to H. Step 2: Note that G(7) to H(8) is plus one, and I(9) to J(10) is also plus one. Step 3: Conclude that the rule is shift each letter forward by one alphabet position. Step 4: Apply this to P and R. P(16) plus one becomes Q(17). Step 5: R(18) plus one becomes S(19). Step 6: The resulting pair is QS, which appears as option C.

Verification / Alternative check:
We can quickly test the other options. Option A, QR, would require P to move to Q and R to remain R, which does not use the same shift on both letters. Option B, PO, involves moving backwards or staying in place, not moving forward. Option D, NO, requires decreasing both letters. None of these match the consistent plus one pattern that GI : HJ clearly demonstrates. Therefore, QS is the only option that fits.

Why Other Options Are Wrong:
Option A changes only the first letter but not the second in a consistent way. Option B moves P back to P and R back to O, blending different directions and magnitudes of shift. Option D also mixes shifts in a way that does not correspond to the simple plus one rule. Since analogies require the exact same operation to be applied, any option without uniform forward shifting must be rejected.

Common Pitfalls:
A common trap is to focus on the shapes or sound of the letters instead of their positions in the alphabet. Another mistake is to compute the shift for one letter correctly but not verify the others, leading to acceptance of inconsistent patterns. To avoid such errors, always convert letters into numeric positions and ensure the shift is the same in every position for that pair. Quick mental practice with alphabet positions makes such questions simple in timed tests.

Final Answer:
Since GI is transformed into HJ by adding one to each letter, PR must similarly become QS, so option C is the correct answer.