What is the greatest 3-digit number exactly divisible by 8, 10 and 12?

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950

960

970

980

answer is B.

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Detailed Solution

LCM of 8, 10 and 12,

2 8, 10, 12 2 4, 5, 6 2 2, 5, 3 3 1, 5, 3 5 1, 5, 1 1, 1, 1

So, 2 × 2 × 2 × 3 × 5 =120
And the numbers 120, 240, 360, 480, 600,720,840,960,1080,1200…. are multiples of the number 120.
Hence, the greatest three-digit that is exactly divisible by 8, 19 and 12 is 960.
Therefore, option 2 is correct.

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Best Online Course for CBSE