Select the letter-cluster from among the given options that can replace the question mark (?) in the following series: BDFH, BFJN, BHNT, BJRZ, ?
- (a)BLVF
- (b)BGFD
- (c)BNJH
- (d)BFDS
Answer
Why
Correct — A.
Rule: first letter fixed at B; the others step +2, +4, +6.
2nd: D, F, H, J → J(10) + 2 = L(12).
3rd: F, J, N, R → R(18) + 4 = V(22).
4th: H, N, T, Z → Z(26) + 6 = 32, past Z to F(6).
That gives BLVF → option (a).
Why the others are wrong
- (b)BGFD — BGFD fails at the second letter: D, F, H, J climb by 2, so the next is L, not G. Its F and D also miss V and F.
- (c)BNJH — BNJH fails at the second letter: after J comes L, not N. Its third letter J falls back, where the third letters climb F, J, N, R by 4.
- (d)BFDS — BFDS repeats BF, the opening of the second cluster. The second letters have moved on to J, so the next is L.
Concept
Read down each column: the first letter never changes, and the others step by 2, 4 and 6.
Read across each cluster and a second pattern confirms it. BDFH moves in 2s, BFJN in 4s, BHNT in 6s and BJRZ in 8s, so the answer should move in 10s: B(2), L(12), V(22), then 32 − 26 = 6, F.
Every option starts with B, so the first letter settles nothing. The second letter alone rules out (b), (c) and (d).
Key facts
- Z + 6 = 32, and 32 − 26 = 6, so the letter is F.
- Inside each cluster the gap grows by 2 from term to term: 2, 4, 6, 8, then 10.
Study next
Common traps
- Treating Z as the end of the line instead of wrapping Z + 6 to F
- Relying on the first letter, which all four options share
14 Sep 2025, 09:00, Reasoning Q.7 has the same build, a fixed first letter and then steps of 3, 5 and 7: DAFH, DDKO, DGPV, DJUC, keyed DMZJ.
Reasoning Q.6 of this paper uses the same frame with steps of 4, 8 and 12.
Related PYQs
No directly related past PYQ was found.