Choose the odd number: Three numbers are divisible by 4; one is not. Identify the number that is not a multiple of 4.

Difficulty: Easy

Correct Answer: 118

Explanation:


Introduction / Context:
Divisibility by 4 can be checked using the last two digits. The outlier fails this test.


Given Data / Assumptions:

  • Set: 64, 208, 316, 118.
  • Rule: A number is divisible by 4 if its last two digits form a number divisible by 4.


Concept / Approach:
Inspect the last two digits and apply the rule quickly.


Step-by-Step Solution:

64 → last two digits 64 → divisible by 4.208 → last two digits 08 → divisible by 4.316 → last two digits 16 → divisible by 4.118 → last two digits 18 → not divisible by 4.


Verification / Alternative check:
Direct division: 64/4 = 16, 208/4 = 52, 316/4 = 79, while 118/4 = 29.5 (non-integer).


Why Other Options Are Wrong:
They satisfy the divisibility-by-4 condition.


Common Pitfalls:
Checking only evenness; divisibility by 4 is stricter than by 2.


Final Answer:
118 is not divisible by 4 and is the odd number.

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