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Q.

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


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a

950

b

960

c

970

d

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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