Select the letter-cluster from among the given options that can replace the question mark (?) in the following series: HDZ LGB PJD TMF ?
- (a)XPH
- (b)XOH
- (c)XPG
- (d)WPH
Answer
Why
Correct — A.
Rule: read each position down the series: +4, +3, +2.
First letters: H, L, P, T (+4) → X.
Second letters: D, G, J, M (+3) → P.
Third letters: Z, B, D, F (+2, Z wraps to B) → H.
That gives X P H → option (a).
Why the others are wrong
- (b)XOH — X O H breaks the middle column. D, G, J, M climb by 3, so after M(13) comes P(16), not O(15).
- (c)XPG — X P G breaks the last column. Z, B, D, F climb by 2, so after F(6) comes H(8), not G(7).
- (d)WPH — W P H breaks the first column. H, L, P, T climb by 4, so after T(20) comes X(24), not W(23).
Concept
A letter-cluster series is three number series side by side. Convert letters to positions (A = 1 … Z = 26) and follow one position at a time down the terms.
Here each position has its own step: +4 in the first, +3 in the second, +2 in the third. The one place that needs care is Z + 2, which runs past Z and restarts at A, landing on B.
Each wrong option is X P H with one letter moved back by a single place, so a slip in any one column lands on an option.
Key facts
- A = 1 through Z = 26 is the position code these series run on.
- A step that runs past Z continues from A, so Z + 2 = B.
- Columns here: H L P T X (+4), D G J M P (+3), Z B D F H (+2).
Study next
Common traps
- Reading Z to B as a backward jump instead of Z + 2 wrapping round to B
- Assuming all three columns share the same step
Separate steps for each position also appear at 12 Sep 2025, 16:00, Reasoning Q.2 (ACE, EIM, IOU, MUC, keyed QAK), where the columns climb +4, +6 and +8 and two of them wrap past Z.
12 Sep 2025, 09:00, Reasoning Q.5 (BRF, EUH, HXJ, KAL, keyed NDN) runs +3, +3, +2, with the middle column wrapping from X to A.
Related PYQs
No directly related past PYQ was found.