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Q.

The greatest number of Question Image- digits exactly divisible by Question Image is


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a

9999

b

9660

c

9832

d

9860 

answer is B.

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Detailed Solution

Concept-
To solve such a problem, consider the maximum number of digits given, find the number to subtract from the maximum number, and make it an integer product of the least common multiple of the number.
The maximum 4-digit number is Question Image Prime factors of Question ImagePrime factors of Question ImagePrime factors of Question ImagePrime factors of Question ImageLCM ofQuestion Imageand Question ImageLCM of Question Imageand Question Image9999 must be divided by 420
Question ImageQuestion ImageQuestion Imageand Question ImageQuestion ImageHence, the correct answer is option 2) 9660
 
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