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Q.

Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.


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a

5678

b

2784

c

2793

d

9720 

answer is D.

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Detailed Solution

Concept- 1000 is the smallest four-digit number and 9999 is the largest four-digit number.
We must find the LCM of the numbers first.
LCM of 12, 15, 18 and 27 to get each factor.
Question ImageQuestion ImageIf we divide 9999 with 540, we get a remainder of 279.
This means that 9999 is not divisible by 12, 15, 18 and 27.
When we subtract the remainder from the dividend, we get the divisible number.
So, Question ImageHence, the correct answer is option 4.
 
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