Latest Book Aptitude Question SOLUTION: A number when successively divided by 3,5 and 8 leaves remainder 1,4,and 7 respectively.Find the respective remainders if the order of the divisors be reversed.

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(#M40032403) BOOK Numerical Ability question solve Keep an EYE

A number when successively divided by 3,5 and 8 leaves remainder 1,4,and 7 respectively.Find the respective remainders if the order of the divisors be reversed.

Asked In Book Harsha Raghav Mucherla (10 years ago)

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upendra singh chahar  (10 years ago)

we can find the number by reverse process as.
reminder 7 and Divisor 8 no. is 8+7 = 15(15 divided by 8 reminder will be 7)
now number which divide by 5 and leaves reminder 4 with Quotient 15 is
(15*5)+4 = 79
same (79*3)+1 = 238.
now 238/8 = 29 reminder 6
29/5 = 5 reminder 4
5/3 = 1 reminder 2

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Kiran Shelke  (10 years ago)

A number when successively divided by 3,5,8 leaving remainders 1,4,7 can be written as 3(5(8k+7)+4)+1

=>120k+118

when this number is dived by 8 i.e (120k+118)/8=15k+14 remainder 6
(15k+14)/5=3k+2 remainder 4
(3k+2)/3=k remainder 2
And D) 6,4,2
Hope its clear

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