Select the letter-cluster from among the given options that can replace the question mark (?) in the following series: D A F H, D D K O, D G P V, D J U C, ?
- (a)DMKA
- (b)DJSH
- (c)DMNS
- (d)DMZJ
Answer
Why
Correct — D.
Rule: D stays, then +3, +5 and +7 in positions two, three and four.
Second: A, D, G, J → J(10) + 3 = M(13).
Third: F, K, P, U → U(21) + 5 = Z(26).
Fourth: H, O, V, C → C(3) + 7 = J(10).
That gives DMZJ → option (d).
Why the others are wrong
- (a)DMKA — DMKA gets D and M right, then fails: U + 5 is Z, not K, and C + 7 is J, not A.
- (b)DJSH — DJSH repeats J in second place, but the second letters climb A, D, G, J in threes, so the next is M.
- (c)DMNS — DMNS has D and M right, then drops to N. The third letters climb F, K, P, U by 5, which lands on Z.
Concept
Split the clusters into columns. The first stays D. The other three climb by 3, 5 and 7, odd steps that grow by 2 from column to column.
The fourth column wraps: V(22) + 7 = 29, and 29 − 26 = 3 = C, which is already printed in D J U C. From C the next step is plain arithmetic: C + 7 = J.
Three options begin DM, so the second column narrows the field without deciding it. The third column does: DMZJ is the one option with Z.
Key facts
- V(22) + 7 = 29, and 29 − 26 = 3 = C.
- U(21) + 5 = 26 = Z, the last letter, with no wrap needed.
- The column steps in this series are 0, +3, +5 and +7.
Study next
Common traps
- Choosing DMNS or DMKA after checking only the first two columns
- Reading the C in D J U C as a break in the pattern instead of V + 7 wrapped
12 Sep 2025, 09:00, Reasoning Q.7 steps +1, +2, +5 and +7 across its four columns: MCFI, NEKP, OGPW, PIUD, ? is keyed QKZK, and its third column runs F, K, P, U to Z exactly as here.
14 Sep 2025, 09:00, Reasoning Q.6 keeps a fixed first letter with steps +3, +6, +9 (keyed TPET).
Related PYQs
No directly related past PYQ was found.