Which of the following terms will replace the question mark (?) in the given series? MJPT, PGMW, SDJZ, ? , YXDF
- (a)WAGD
- (b)VZFC
- (c)VAGC
- (d)VAGD
Answer
Why
Correct — C. Treat the four letter positions as four separate series.
Rule: 1st letter +3, 2nd −3, 3rd −3, 4th +3, at every step.
1st: M(13) → P(16) → S(19) → V(22) → Y(25) ✓
2nd: J(10) → G(7) → D(4) → A(1) → X(24), since A − 3 wraps back to X ✓
3rd: P(16) → M(13) → J(10) → G(7) → D(4) ✓
4th: T(20) → W(23) → Z(26) → C(3) → F(6), since Z + 3 wraps round to C ✓
The missing fourth term is V, A, G, C = VAGC, which is option (c).
The given last term YXDF confirms every column at once, so no step is left on trust.
Why the others are wrong
- (a)WAGD — WAGD moves the 1st letter four places, S to W, and the 4th four places, Z to D. Both of those columns step by three, not four.
- (b)VZFC — VZFC takes the 2nd and 3rd letters a place too far: D to Z is −4 and J to F is −4, where the columns need −3.
- (d)VAGD — VAGD gets the first three letters right and then writes D in the fourth slot. Z + 3 is C, and D also fails the check forward, since D + 3 is G and the paper prints F.
Concept
Four-letter term series are solved column by column. Write the terms one under another, number the letters A = 1 to Z = 26, and each column turns into a plain arithmetic run.
The wrap is where the marks are lost. Position 1 follows position 26, so A − 3 is X and Z + 3 is C. Treat the alphabet as a ring, not a line with two ends.
A missing middle term is a gift, because the term after it audits your work. Here YXDF checks all four columns at once, which a forward-only solve never does.
Every column here steps by the same size, three places. Only the direction changes, so the wraps are the whole difficulty.
Key facts
- The four columns move +3, −3, −3 and +3 at every step.
- A − 3 wraps to X, which is why the 2nd column runs A then X.
- Z + 3 wraps to C, which is why the 4th column runs Z, C, F.
- The final term YXDF checks the answer: V+3 = Y, A−3 = X, G−3 = D and C+3 = F.
Study next
Common traps
- Stopping at the end of the alphabet instead of wrapping, so A − 3 is left blank.
- Solving forward from SDJZ and never checking the result against YXDF.
- Mixing up which columns rise and which fall, since there are two of each.
The stem is fixed — which of the following terms will replace the question mark in the given series — and the gap is sometimes third rather than fourth. 17 Sep 2024, 12:30, Reasoning Q.9 runs EQBY, GPDX, ?, KNHV, MMJU, and 13 Sep 2024, 12:30, Reasoning Q.14 runs RLYV, PJWT, NHUR, ?, JDQN.
Related PYQs
No directly related past PYQ was found.