Question
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The greatest four-digit number which is divisible by 15, 25, 40, and 75 is:
Correct Option:
C
Explanation
A number divisible by 15, 25, 40 and 75 must be divisible by their LCM. Prime factors give
15=3×5, 25=5^2, 40=2^3×5, 75=3×5^2,
so LCM =2^3×3×5^2=600. The largest four-digit multiple of 600 is 600×16=9600.
