1. The problem asks us to find the relationship that corresponds to SP given the pattern relating CT to RQ and AI to DF. 2. Let's analyze the pairs: - CT to RQ - AI to DF 3. To understand the pattern, we examine the positions of the letters in the alphabet: - C is the 3rd letter and T is the 20th letter. - R is the 18th letter and Q is the 17th letter. 4. So from CT to RQ: - C (3) changes to R (18), which is $+15$ positions. - T (20) changes to Q (17), which is $-3$ positions. 5. Now check AI to DF: - A (1) to D (4) is $+3$ positions. - I (9) to F (6) is $-3$ positions. 6. These differences are inconsistent, so let's check their reverse positions: - For CT (3 and 20) to RQ (18 and 17), see if reversing or rearranging helps. 7. Alternatively, consider that the first letter is shifted by $+15$ in the first pair and $+3$ in the second; the second letter shifts by $-3$ in both pairs. 8. To find a matching consistent pattern, note that the second letter shifts backwards by 3 positions. 9. Check the options for SP, where S is 19 and P is 16: - Second letter must go $-3$ positions: 16 - 3 = 13, which corresponds to M. 10. So for SP, second letter maps to M. 11. For the first letter, the shift isn't consistent, but two values were found: $+15$ and $+3$. Looking for $+3$ shift: - S (19) + 3 = 22, which is V. 12. None of the options have second letters M or first letters V, so check the given options carefully: - a) MD (M = 13, D = 4) - b) DN (D = 4, N = 14) - c) AD (A = 1, D = 4) - d) AI (A = 1, I = 9) 13. Since the second letter of SP reduces by 3 (P at 16 -> M at 13), and None of the second letters in options is M, perhaps first letter shift of -3 is the key: - For CT to RQ, C (3) to R (18): +15 - For AI to DF, A (1) to D (4): +3 Both second letters shift back by 3 in alphabet: - T (20) to Q (17): -3 - I (9) to F (6): -3 14. So the second letter always moves back by 3. 15. SP's second letter P (16) moved back by 3 is M (13). 16. Check options for second letter M: only a) MD has M. 17. For the first letter S (19), first letters in the example pairs shift forward by 15 and 3; if we pick +3: - S (19) + 3 = V (22), which is not in MD. Alternatively, consider that the first letter moves back by 15 (since 3 + 15 = 18). So subtract 15 from S: - 19 - 15 = 4, which corresponds to D. 18. So applying the first letter shift of $-15$ to S gives D. 19. Therefore, SP corresponds to DM or MD. 20. The options give MD, so the answer is MD. Final answer: MD