Which group doesn’t match the pattern?
- (a)20, 30, 50
- (b)15, 25, 40
- (c)18, 24, 36
- (d)14, 28, 56
Answer
Why
Correct — B.
Rule: the second gap is double the first.
20, 30, 50: gaps 10 and 20
18, 24, 36: gaps 6 and 12
14, 28, 56: gaps 14 and 28
15, 25, 40: gaps 10 and 15, not 20 → option (b).
Why the others are wrong
- (a)20, 30, 50 — 20, 30, 50 has gaps of 10 then 20, the doubling the majority share. It also sums (20 + 30 = 50), but that rule fits 15, 25, 40 too, so it cannot pick the odd one.
- (c)18, 24, 36 — 18, 24, 36 steps 6 then 12, so its second gap doubles the first, like the others.
- (d)14, 28, 56 — 14, 28, 56 is a doubling series, which makes it look different. Its gaps, 14 then 28, still double, so it fits the shared rule.
Concept
In a three-number odd-one-out, test each rule against all four groups. The right rule fits exactly three.
First + second = third fits 20, 30, 50 and 15, 25, 40 but not the other two, a two-against-two split that decides nothing. Each term doubles fits only 14, 28, 56.
The gap rule fits three groups and leaves out 15, 25, 40.
A parity check agrees: 15, 25, 40 is the only group containing odd numbers. The gap rule is the stronger reason, because it ties the three numbers together.
Key facts
- Second gap = 2 × first gap in 20, 30, 50, in 18, 24, 36 and in 14, 28, 56.
- As a formula: third = 3 × second − 2 × first. For 15, 25, 40 it gives 75 − 30 = 45, not 40.
- A rule that fits two groups and fails two cannot decide an odd-one-out.
Study next
Common traps
- Using first + second = third, which 15, 25, 40 also satisfies
- Picking 14, 28, 56 because it is the one geometric group
12 Sep 2025, 09:00, Reasoning Q.18 sets the same three-number odd-one-out on a number property instead: 4, 6, 8 is keyed as the group that is not all prime.
Related PYQs
No directly related past PYQ was found.