Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. CFJ, FIM, ILP, ?
- (a)LKN
- (b)LOS
- (c)NHS
- (d)KIS
Answer
Why
Correct — B.
Rule: each position moves +3 from one cluster to the next.
First letters: C, F, I → L
Second letters: F, I, L → O
Third letters: J, M, P → S
Inside each cluster the steps are +3, +4 (C → F → J), and L → O → S keeps them.
LOS → option (b).
Why the others are wrong
- (a)LKN — LKN starts correctly with L, but the second letters run F, I, L, so the next is O. K and N also break the +3, +4 steps inside the cluster.
- (c)NHS — NHS ends in the right S, but the first letters run C, F, I, and I + 3 is L, not N.
- (d)KIS — KIS starts with K, just two steps after I. The first letters move +3 each time, so the cluster must start with L.
Concept
Read a letter-cluster series column by column. Each position forms its own series: the first letters run C, F, I, the second F, I, L and the third J, M, P, each climbing by 3.
There is a second check inside each cluster: C → F is +3 and F → J is +4, and every cluster repeats those steps. An answer that passes both checks is safe.
The second and third columns are the first column shifted: F, I, L is C, F, I moved +3, and J, M, P is C, F, I moved +7.
So once the first letter is L, the rest follow: L + 3 = O and L + 7 = S.
Key facts
- C = 3, F = 6, I = 9, L = 12, O = 15 in alphabet positions.
- J = 10, M = 13, P = 16, S = 19 in alphabet positions.
- E = 5, J = 10, O = 15, T = 20, Y = 25 are quick reference points for counting positions.
Study next
Common traps
- Checking only the first letter, when LKN also starts with L
- Counting the gap from C to F as 2 (the letters D and E between them) instead of the step of 3
14 Sep 2025, 09:00, Reasoning Q.3 also moves every position +3: CDE, FGH, IJK, ?, keyed LMN, on the same C, F, I, L first letters.
14 Sep 2025, 09:00, Reasoning Q.5 adds a wrap: LWB, OZE, RCH, UFK, ?, keyed XIN, where Z + 3 runs round to C.
Related PYQs
No directly related past PYQ was found.