What comes next? Z, X, U, Q, ?
- (a)L
- (b)M
- (c)N
- (d)P
Answer
Why
Correct — A.
Rule: backward steps of 2, 3, 4, 5 (the gap grows by one).
Z(26) − 2 = X(24)
X(24) − 3 = U(21)
U(21) − 4 = Q(17)
Q(17) − 5 = L(12) → option (a).
Why the others are wrong
- (b)M — M(13) is Q − 4, repeating the last step. The gap grows every time, so after 4 comes 5, which lands on L.
- (c)N — N(14) is Q − 3, a smaller step than the one before. The gaps run 2, 3, 4, so the next must be 5, not 3.
- (d)P — P(16) is Q − 1, as if the letters stepped back one at a time. The gaps here grow, 2, 3, 4, so the next is 5.
Concept
A letter series becomes a number series once each letter is replaced by its place in the alphabet (A = 1 … Z = 26). Write the numbers, then write the differences under them.
Here the letters run backwards from Z and the differences grow by one: 2, 3, 4. The next difference is 5, so 17 − 5 = 12, which is L.
Key facts
- Z = 26, X = 24, U = 21, Q = 17 and L = 12.
- The gaps 2, 3, 4, 5 grow by one at each step.
- The anchors E = 5, J = 10, O = 15, T = 20 and Y = 25 speed up turning letters into positions.
Study next
Common traps
- Repeating the last step of 4 and choosing M
- Miscounting positions near the end of the alphabet by one
24 Sep 2025, 16:00, Reasoning Q.15 runs the same backward pattern one step larger: Z, W, S, N has gaps of 3, 4, 5, and its key is H, after a gap of 6.
Related PYQs
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