Select the letter-cluster from among the given options that can replace the question mark (?) in the following series: TDGJ, TGMS, TJSB, TMYK, ?
- (a)TEFY
- (b)TESD
- (c)TESO
- (d)TPET
Answer
Why
Correct — D.
Rule: T stays, then +3, +6 and +9 in positions two, three and four.
Second: D, G, J, M → M(13) + 3 = P(16).
Third: G, M, S, Y → Y(25) + 6 = 31, and 31 − 26 = E(5).
Fourth: J, S, B, K → K(11) + 9 = T(20).
That gives TPET → option (d).
Why the others are wrong
- (a)TEFY — TEFY puts E second, but the second letters climb D, G, J, M by 3, so M goes to P. E belongs in the third position.
- (b)TESD — TESD fails at the second letter: M + 3 is P, not E. Its S and D also miss the E and T the last two columns need.
- (c)TESO — TESO has E second where the +3 column needs P. Its last letter O also misses the T that K + 9 gives.
Concept
Read each column as its own series. The first column stays T. The other three climb by 3, 6 and 9, a step that grows by 3 from one column to the next.
Two columns wrap past Z. Third column: Y(25) + 6 = 31 → E(5). Fourth column: S(19) + 9 = 28 → B(2), already printed in TJSB, and B + 9 = K.
Every option starts with T, so the first column decides nothing. The second column settles it: TPET is the one option with P in second place.
Key facts
- A step past Z wraps: Y(25) + 6 = 31, and 31 − 26 = 5 = E.
- S(19) + 9 = 28 wraps to B(2).
- The column steps in this series are 0, +3, +6 and +9.
Study next
Common traps
- Stopping at Y + 6 = 31 instead of wrapping to E
- Using +3 in every column, which turns K into N instead of T
15 Sep 2025, 16:00, Reasoning Q.6 builds the same frame with steps 0, +4, +8, +12: PCHJ, PGPV, PKXH, POFT, ? is keyed PSNF.
14 Sep 2025, 09:00, Reasoning Q.7 keeps a fixed first letter but steps +3, +5, +7 (keyed DMZJ).
Related PYQs
No directly related past PYQ was found.