Which of the following is the odd one out?
- (a)2, 3, 5
- (b)11, 13, 17
- (c)4, 6, 8
- (d)7, 19, 23
Answer
Why
Correct — C. Rule: three of the groups are made entirely of prime numbers.
2, 3, 5 — all prime.
11, 13, 17 — all prime.
7, 19, 23 — all prime.
4, 6 and 8 are even and greater than 2, so each is divisible by 2 and none is prime. That group breaks the rule — option (c).
Why the others are wrong
- (a)2, 3, 5 — 2, 3 and 5 are all prime. 2 is even, which can make this group look like the odd one, but 2 is prime, so the group fits.
- (b)11, 13, 17 — 11, 13 and 17 are all prime, each divisible only by 1 and itself, so this group belongs with the three that are alike.
- (d)7, 19, 23 — 7, 19 and 23 are all prime. They are not consecutive primes, since 11, 13 and 17 are skipped, but that rule rejects 4, 6, 8 too, so it cannot isolate one group.
Concept
An odd-one-out set is decided by a property that three groups share and one lacks. Test the simplest number properties first: even or odd, prime or composite, square or cube.
Here primality splits the options cleanly. Every number in three groups is prime, and no number in 4, 6, 8 is.
A candidate rule must leave exactly one group out. Checking that is what separates the intended rule from a coincidence.
7, 19, 23 is the prime group whose members are not consecutive primes, which can make it look like the answer. That rule fails 4, 6, 8 as well, so it separates two groups, not one, and cannot be the test.
Key facts
- 2 is the smallest prime and the one even prime.
- 4 = 2 × 2, 6 = 2 × 3 and 8 = 2 × 2 × 2, so all three are composite.
- 2, 3, 5 and 11, 13, 17 are runs of consecutive primes, while 7, 19, 23 skips 11, 13 and 17.
Study next
Common traps
- Picking 2, 3, 5 because it contains an even number.
- Picking 7, 19, 23 as the non-consecutive group without checking whether that rule isolates a single group.
13 Sep 2024, 12:30, Reasoning Q.15 takes this a step further: all eight numbers are prime, and the pair of consecutive primes, 73 and 79, is the odd one.
12 Sep 2025, 09:00, Reasoning Q.17 plants 20 in a list of primes.
Related PYQs
No directly related past PYQ was found.