What should come in place of the question mark (?) in the given series based…
2025
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
LOQ JMO HKM FIK ?
- A.
DGI
- B.
DHJ
- C.
DGJ
- D.
DHI
Attempted by 3 students.
Show answer & explanation
Correct answer: A
A letter-series analogy built on English alphabet positions is governed by a fixed pair of position-offsets that turns a group's base letter into its next two letters (base, base+d1, base+d1+d2); the base letters of successive groups themselves change by their own constant step. Recovering the answer means fixing both the internal offset pair from the given groups and the base-letter step, then applying both to the next base letter.
Convert each given group to alphabet positions (A=1 ... Z=26): LOQ -> L=12, O=15, Q=17; internal offsets 15-12=3 and 17-15=2, i.e. (+3, +2).
JMO -> J=10, M=13, O=15; offsets 13-10=3 and 15-13=2, i.e. (+3, +2).
HKM -> H=8, K=11, M=13; offsets 11-8=3 and 13-11=2, i.e. (+3, +2).
FIK -> F=6, I=9, K=11; offsets 9-6=3 and 11-9=2, i.e. (+3, +2). All four groups use the same internal offset pair, (+3, +2), confirming the rule.
Compare the base (first) letters of successive groups: L=12, J=10, H=8, F=6 — each base is 2 less than the one before.
Applying that same step to the last given base: next base = F(6) - 2 = 4, which is D.
Apply the internal offset pair (+3, +2) to base D(4): D(4) -> next letter = 4+3 = 7 = G -> next letter = 7+2 = 9 = I.
So the missing group of letters is D, G, I.
Cross-check: for D(4), G(7), I(9), the internal offsets are 7-4=3 and 9-7=2, matching the (+3, +2) pattern found in every other group, and the base 4 is exactly 6-2, consistent with the base-letter step. Both conditions the rule requires are satisfied, so the missing group is DGI.