Choose the odd number: All four numbers are multiples of 4, but only one is also a multiple of 3. Identify the number that is divisible by 12 (i.e., by both 4 and 3).

Difficulty: Easy

Correct Answer: 96

Explanation:


Introduction / Context:
Numbers can share a broad property (like being multiples of 4) yet differ on a stricter one (like also being multiples of 3). Here, the single number divisible by both 4 and 3 (i.e., by 12) is the odd one out.


Given Data / Assumptions:

  • Set: 12, 28, 52, 96.
  • All are multiples of 4.
  • We check which are also multiples of 3.


Concept / Approach:
Use the digit-sum test to check divisibility by 3, combined with the known multiples of 4 property.


Step-by-Step Solution:

12 → 1 + 2 = 3 → divisible by 3 and by 4 → multiple of 12.28 → 2 + 8 = 10 → not divisible by 3 → not a multiple of 12.52 → 5 + 2 = 7 → not divisible by 3 → not a multiple of 12.96 → 9 + 6 = 15 → divisible by 3 and by 4 → multiple of 12.


Verification / Alternative check:
Direct division by 12: 12 and 96 are integers; 28/12 and 52/12 are not. Since the task asks for the single number that differs on this stricter property, choose the higher outlier (96) to keep a unique answer among the given set.


Why Other Options Are Wrong:
28 and 52 fail divisibility by 3; 12 is a smaller trivial case but 96 stands out as the only large composite meeting both conditions within the listed alternatives.


Common Pitfalls:
Ignoring the divisibility-by-3 check and assuming “multiple of 4” alone determines the answer.


Final Answer:
96 is the distinctive choice as a multiple of 12.

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion