Question

The greatest five digit number when divided by 8,9and 10 leaves the remainder 2 is

Answer 1

Answer:

99722 is greatest five digit number, when divided by 8,9 and 10 leaves remainder 2

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Answer 2

Step-by-step explanation:

Number   when divided by 8,9 and 10 leaves remainder 2 is

=> N  = 8A + 2

=> N = 9B  + 2

=> N = 10C  + 2

=> N - 2 = 8A  = 9B = 10C

Hence N -2 will have a factor which will be LCM of  8 , 9 & 10

LCM of 8 , 9 & 10

8 = 2 * 2 * 2

9 = 3 * 3

10 = 2 * 5

LCM = 2 * 2 * 2 * 3 * 3 * 5  = 360

=> N - 2 = 360K

=> N = 360K  + 2

99999/360  > 277

=> N = 360 * 277  + 2

=> N = 99722

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