Find the odd number out: 3, 5, 7, 12, 13, 17, 19.
-
A19
-
B17
-
C13
-
D12
-
ENone of these
Answer
Correct Answer: 12
Explanation
Introduction / Context:This set is dominated by primes; a single composite number appears among them. Recognizing small primes (up to about 20) quickly isolates the outlier.
Given Data / Assumptions:
- Primes present: 3, 5, 7, 13, 17, 19
- Composite present: 12 (divisible by 2, 3, 4, 6)
Concept / Approach:Classify each as prime or composite. The composite entry among mostly primes is the odd one out.
Step-by-Step Solution:Check: 12 is composite; all the others listed are prime numbersTherefore, 12 is the odd term
Verification / Alternative check:Trial division confirms primality of 13, 17, 19 and composite nature of 12; 12 = 3*4 = 2*6.
Why Other Options Are Wrong:19/17/13 are prime and belong with the majority of the set.
Common Pitfalls:Mislabeling 1 as prime (not applicable here) or overlooking small composite checks.
Final Answer:12