Find the number nearest to 110000 but greater than 100000 which is exactly divisible by each of 8, 15, 21.

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109200

108200

107200

106200

answer is A.

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Detailed Solution

Concept- There are three numbers that we are told are divisible and are bigger than 100000 and the closest to 110000: 8, 15, and 21. As a result, we will calculate the LCM of 8, 15, and 21 first, and then we will subtract that number from 110000 to get our answer.
The number that can be divided by 8, 15, and 21 may also be divided by the number's LCM. LCM for 8, 15, and 21 are
Question Image

110000 is not exactly divisible by 840, thus we receive 800 as the residual when we do so.
The number that is exactly divisible by 840, or by 8, 15, and 21, is therefore the closest to 110000 but greater than 100000. The number is 110000-800 = 109200.
Hence, the correct answer is option 1.

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Best Online Course for CBSE