Select the triad which follows the same pattern as that followed by the two…
2025
Select the triad which follows the same pattern as that followed by the two triads given
below. Both triads follow the same pattern.
MU - PL - TV
JR - MI - QS
- A.
HO – LG – PR
- B.
GO – LH – PR
- C.
HP – KG – OQ
- D.
HP – LG – OR
Show answer & explanation
Correct answer: C
Concept: In alphabet-coding analogy questions, each letter is first converted to its position in the alphabet (A = 1, B = 2, ..., Z = 26). A model triad of three letter-groups hides two constant numeric offsets: the offset from the first letter to the second letter within each group, and the offset from one group's leading letter to the next group's leading letter. Any triad that reproduces both sets of offsets follows the same pattern as the given ones.
Application: Reading A = 1 through Z = 26, the two given triads are examined step by step.
First triad MU - PL - TV: the letters are M(13), U(21); P(16), L(12); T(20), V(22).
Within-group offset (second letter minus first letter) for each group: U - M = 21 - 13 = +8; L - P = 12 - 16 = -4; V - T = 22 - 20 = +2.
Offset between the leading letters of consecutive groups: P - M = 16 - 13 = +3; T - P = 20 - 16 = +4.
Second triad JR - MI - QS: J(10), R(18); M(13), I(9); Q(17), S(19). The same computation gives within-group offsets +8, -4, +2 and leading-letter offsets +3, +4 - identical to the first triad, confirming the rule.
Apply this fixed rule (leading letter, +8, gives that group's second letter; group 1 leading letter +3 gives group 2's leading letter; that letter -4 gives group 2's second letter; group 2 leading letter +4 gives group 3's leading letter; that letter +2 gives group 3's second letter) to each option's first letter and check whether every resulting letter matches the option's own printed letters.
Starting from H(8): H + 8 = P (group 1 second letter); H + 3 = K (group 2 leading letter); K - 4 = G (group 2 second letter); K + 4 = O (group 3 leading letter); O + 2 = Q (group 3 second letter). The rule generates HP - KG - OQ, letter for letter.
Cross-check: Re-deriving in the opposite direction confirms it: from the generated triad's own leading letters H, K, O the group-to-group gaps are +3 and +4, and the within-group gaps P-H, G-K, Q-O are +8, -4, +2 - exactly the offsets extracted from both given triads, with no other option reproducing every one of these five offsets simultaneously.
Hence the triad that follows the same pattern is HP - KG - OQ.