Complete the series. Z1, Y2, X3, W4, ?
- (a)V5
- (b)V4
- (c)U5
- (d)X5
Answer
Why
Correct — A.
Rule: letters step back one (Z, Y, X, W); numbers step up one (1, 2, 3, 4).
Next letter: W − 1 = V
Next number: 4 + 1 = 5
V5 → option (a).
Why the others are wrong
- (b)V4 — The letter V is right, but the number repeats 4. The numbers rise by one each term, so the next is 5.
- (c)U5 — U is two letters back from W. The letters step back one at a time (Z, Y, X, W), so the next is V.
- (d)X5 — X is the third term's letter again. The letters keep moving backward, W then V, and never turn back to X.
Concept
A letter–number series runs two series in step. Split each term into its letter and its number, and find each rule separately.
The letters run backwards from the end of the alphabet: Z, Y, X, W, so V comes next. The numbers count up: 1, 2, 3, 4, so 5 comes next. A quick check: letter position plus number is 27 in every term, and V(22) + 5 = 27.
The check works because each step takes one off the letter's position and adds one to the number, so the total never changes.
Key facts
- Forward positions of the last letters: Z = 26, Y = 25, X = 24, W = 23, V = 22.
- Letter position plus number stays 27 in every term, from Z(26) + 1 to V(22) + 5.
Study next
Common traps
- Stepping the letter back two, to U
- Changing only the letter and leaving the number at 4
17 Sep 2025, 12:30, Reasoning Q.14 uses the same frame running forward: A1, C2, E3, G4, then I5, with the letter stepping +2.
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