# CLASS-8PROBLEM & SOLUTION OF NUMBER SYSTEM

PROBLEM & SOLUTION OF NUMBER SYSTEM

Example.2)  Write all possible three-digit numbers using the digits 0, 1, 2, 3, 4 & 5 when the digits are a) not repeated, b) repeated

Example.3) Find the smallest seven-digit numbers which is exactly divisible by 377

Ans.) as per the given condition, we can say that Seven digit number which is exactly divisible by 377 is = 1000000

377 )  1000000 ( 3652

754

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2460

2262

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1980

1885

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950

754

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196

1000000 divided by 377 gives the remainder 196, so the required number must be greater than 1000000 by ( 377 – 196 ) = 181

Hence, the required number is ( 1000000 + 181 ) =  1000181    (Ans.)

Example.4) Find the largest/biggest five digit number which is exactly divisible by 377

Ans.) As per the given condition the five-digit largest/biggest number is 99999

377 )  99999 ( 267

754

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2549

2262

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2879

2639

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240

99999 divided by 459 gives the remainder 240, hence the required number = 99999 – 240 = 99759        (Ans.)