Select the related group of letters: JMPS is to ADGJ as QTWZ is to which of the following?

Introduction / Context:
This question is a letter sequence analogy that uses fixed jumps in the alphabet. The pair JMPS : ADGJ is given, and you must apply the same pattern to QTWZ in order to find the correct answer. Understanding how letters move forward or backward by a constant number of positions is an important skill in solving such reasoning questions.

Given Data / Assumptions:
1) The first pair is JMPS and ADGJ.
2) The second pair begins with QTWZ and requires a matching letter group.
3) Alphabet positions are A=1, B=2, and so on up to Z=26.
4) The same transformation that maps JMPS to ADGJ will be used to map QTWZ to the answer group.
5) The options are HKNQ, OLRU, LORU, and CEGI.

Concept / Approach:
First we find the exact shift from JMPS to ADGJ. If the shift for each corresponding letter is the same, then it is a constant offset pattern. We then apply that numerical shift to each letter of QTWZ. If this yields one of the answer options, that option is correct. If not, we recheck the shift and calculations until the pattern is clear.

Step-by-Step Solution:
Step 1: Write the positions for JMPS. J is 10, M is 13, P is 16, and S is 19. Step 2: Write the positions for ADGJ. A is 1, D is 4, G is 7, and J is 10. Step 3: Calculate the shifts from JMPS to ADGJ. From J (10) to A (1) is minus 9, from M (13) to D (4) is minus 9, from P (16) to G (7) is minus 9, and from S (19) to J (10) is minus 9. The pattern is a constant shift of minus 9 for each letter. Step 4: Now apply this shift to QTWZ. Q is 17, T is 20, W is 23, and Z is 26. Step 5: Subtract 9 from each position. 17 minus 9 equals 8, 20 minus 9 equals 11, 23 minus 9 equals 14, and 26 minus 9 equals 17. Step 6: Convert these new positions back to letters. 8 is H, 11 is K, 14 is N, and 17 is Q. So QTWZ maps to HKNQ. Step 7: Match HKNQ with the answer options and select it as the correct group.

Verification / Alternative check:
Check that the same minus nine shift works backwards from HKNQ to QTWZ. H (8) plus 9 gives Q (17), K (11) plus 9 gives T (20), N (14) plus 9 gives W (23), and Q (17) plus 9 gives Z (26). This confirms that the transformation is consistent and that HKNQ is indeed the correct partner group for QTWZ under the same pattern used for JMPS and ADGJ.

Why Other Options Are Wrong:
OLRU, LORU, and CEGI do not emerge from subtracting nine from the positions of Q, T, W, and Z. Using any of these would break the exact same constant offset rule that maps JMPS to ADGJ. Since analogies demand a single consistent rule for both pairs, these options must be considered distractors.

Common Pitfalls:
A frequent mistake is to look only at the internal spacing inside each group (for example, the jump between consecutive letters) and to ignore the cross mapping between the two groups. Another error is to miscalculate alphabet positions or the subtraction by nine, especially under exam pressure. Writing down the positions clearly and checking each step avoids both issues.

Final Answer:
Using the same minus nine letter shift pattern, QTWZ corresponds to HKNQ in the analogy JMPS : ADGJ :: QTWZ : ?.