Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. DAC, GWH, JSM, MOR, ?
- (a)PKW
- (b)QKV
- (c)PWK
- (d)PJV
Answer
Why
Correct — A.
Rule: first letter +3, second letter −4, third letter +5.
First: D, G, J, M → M(13) + 3 = P(16).
Second: A, W, S, O → O(15) − 4 = K(11).
Third: C, H, M, R → R(18) + 5 = W(23).
That gives PKW → option (a).
Why the others are wrong
- (b)QKV — QKV starts with Q, but the first letters rise by 3: M(13) + 3 = P. Its V is also one short, since R(18) + 5 = 23 = W.
- (c)PWK — PWK has the right letters in the wrong order. The −4 column gives K in second place, and the +5 column gives W last.
- (d)PJV — PJV is one step off twice: O − 4 is K, not J, and R + 5 is W, not V.
Concept
Read a letter-cluster series one column at a time. Turn each letter into its position (A = 1 … Z = 26) and find the step in each column separately.
The middle column falls by 4 and wraps at the start: A(1) − 4 goes back past A to W(23), because 1 − 4 + 26 = 23. After that it runs W, S, O and K with no wrap.
The second column is where the series looks broken: A to W seems a jump of +22. Counted backwards through Z, it is the same −4 as every later step.
Key facts
- Below 1, add 26: A(1) − 4 = −3, and −3 + 26 = 23 = W.
- PKW is P = 16, K = 11, W = 23.
- E = 5, J = 10, O = 15, T = 20, Y = 25 are quick anchors for letter positions.
Study next
Common traps
- Reading A → W as a jump of +22 and missing the −4 wrap
- Putting the columns in the wrong order, which gives PWK
10 Sep 2024, 12:30, Reasoning Q.1 wraps backwards the same way: its first column runs I, F, C and then Z, because C(3) − 3 wraps to Z(26) (keyed WKP).
12 Sep 2025, 09:00, Reasoning Q.5 wraps forwards instead, X + 3 = A in its second column (keyed NDN).
Related PYQs
No directly related past PYQ was found.