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find the no which when divided by 17 ,16,15 and the remainder is 3.10,0 respectively means u have to find that no which is divided by 17 then it leaves the remainder 3 when divided by 16 leaves remainder 10 and when divi ded by 15 leaves remainder 0
find the no which when divided by 17 ,16,15 and the remainder is 3.10,0 respectively means u have to find
that no which is divided by 17 then it leaves the remainder
3 when divided by 16 leaves remainder 10 and when divi
ded by 15 leaves remainder 0
105
Hi Keshav,
The answer would be 1210....
Method:
N = 17X + 3....
N = 16X + X + 3....
Now X+3 = 16Y+10
Also N = 15X + 2X+3
So 2x+3 = 15Z.....
Relation between Y and Z is 32Y+17 = 15Z...
So minimum value of Y,Z is 4,9
Which would give X = 71....
So the smallest number "N" satisfying all the conditions is N=17X+3
=17(71) + 3
=1210
Hence 1210 is the answer.
Best Regards,
Ashwin (IIT Madras).
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