Question:
How many numbers between 1 and 200 are divisible by both 6 and 8?
How many numbers between 1 and 200 are divisible by both 6 and 8?
Updated On: Jul 10, 2026
- 8
- 6
- 12
- 4
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The Correct Option is A
Solution and Explanation
Step 1: Divisible by both 6 and 8 means divisible by \(\text{LCM}(6,8)=24\).
Step 2: Multiples of 24 up to 200: \(24,48,\dots,192\), i.e. \(\lfloor 200/24\rfloor = 8\) numbers.
Step 2: Multiples of 24 up to 200: \(24,48,\dots,192\), i.e. \(\lfloor 200/24\rfloor = 8\) numbers.
Quick Tip: Divisible by two numbers = divisible by their LCM.
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