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Q.

Determine the number nearest to 110000 which is exactly divisible by 8, 15 and 21.


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a

110040

b

110050

c

110060

d

110070 

answer is A.

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Detailed Solution

Concept- The closest number to 110000 that is precisely divisible by 8, 15, and 21 is required. Therefore, the requested integer must likewise be divisible by the LCM of 8, 15, and 21. So, calculate the LCM of 8, 15, and 21. Then, determine the number in integer form by dividing 110000 by the LCM of 8, 15, and 21. As a result, the desired solution can be obtained by adding the LCM of 8, 15, and 21 and then dividing the result by the LCM of 8, 15, and 2.
The closest number to 110000 that is precisely divisible by 8, 15, and 21 is required.
Therefore, the requested integer must likewise be divisible by the LCM of 8, 15, and 21.
Now, Question ImageseoQuestion ImageDividing the number by 110000 by 840
Question ImageThus, to find the closest number that is exactly divisible by 8, 15, and 21, increase the LCM of those three numbers by 131.
Question ImageHence, the correct answer is option 1.
 
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