The number nearest to 10000 which is exactly divisible by each of 3, 4, 5, 6, 7and 8 is

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RRB GG Exam (Bhopal) 2009 click here to view all questions

The number nearest to 10000 which is exactly divisible by each of 3, 4, 5, 6, 7 and 8 is

A9240

B10080

C9996

D100000

rahul ? Jan 11 '2020 at 16:53

Correct answer is: 10080

Explanation:

LCM of (3, 4, 5, 6, 7, 8) = 3 × 4 × 5 × 7 × 2 = 840
⇒ divided 10000 by LCM

\(=> \frac{10000}{840}\) , we get remainder = 760

Now two possibilities are
= 10000 - 760 = 9240
or 10000 + (840 - 760) = 10080
So, nearest number is = 10080

All DiscussionsClick here to write answer

Correct answer is: 10080 Explanation: LCM of (3, 4, 5, 6, 7, 8) = 3 × 4 × 5 × 7 × 2 = 840 ⇒ divided 10000 by LCM \(=> \frac{10000}{840}\) , we get remainder = 760 Now two possibilities are = 10000 - 760 = 9240 or 10000 + (840 - 760) = 10080 So, nearest number is = 10080 rahul ? answered Jan 11 '2020 at 16:53 All Comments

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