the least number which when divided by 15,20,28 leaves remainder of 12,17,25 respectively is
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What is the smallest number which when divided by 20, 25, 35, 40 leaves a remainder of 14, 19, 29, 34 respectively?
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Let N be the smallest number.
This is a question of multiple divisors with multiple remainders.
Although the remainders seem different, but they are the same when we take their negative counterparts.
R[N20]=14 or (−6)
R[N25]=19 or (−6)
R[N35]=29 or (−6)
R[N40]=34 or (−6)
So, we can see N leaves the same remainder (-6) when divided by 20, 25, 35 or 40.
So, N=LCM(20,25,35,40)+(−6)
Or, N=1394 (Answer)
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