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if a no. Is divided by 3, 4, 5, 7 and leaves a remainder 1, 1, 1, 0 respectively, then what is the no???? Pls explain logically and with working pls!!!!!

if a no. Is divided by 3, 4, 5, 7 and leaves a remainder 1, 1, 1, 0 respectively, then what is the no???? Pls explain logically and with working pls!!!!!

Grade:9

1 Answers

vikas askiitian expert
509 Points
12 years ago

smallest number divisible by each 3,4,5 is 60 ...

now if we add 1 to any multiple of 60 then , remainder will be 1 when divided by 3,4,5 ...

61 , 121,181 , 241 , 301 , 261 ........ all these numbers when divided by 3,4,5 leave remainder 1...

from above numbers only 301 is divisible by 7 ,

so the number is 301 ....

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