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1. Real Numbers
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Q10 of 124 Page 1

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

Required number must be divisible by the LCM of 8, 15 and 21 i.e., by 840


Now on dividing 110000 by LCM we get 800 as remainder.


Therefore the number nearest to 110000 but greater than 100000 which is exactly divisible by each of 8, 15 and 21 = 110000 – Remainder ⇒ 110000 – 800 = 109200


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8

Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468.

9

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.

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Find the smallest number which leaves remainders 8 and 12 when divided by 28 and 32 respectively.

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Questions · 124
1. Real Numbers
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