Problem in finding greatest 4 digit number which is divided by 10,11,15 and 22....

jaysinhp

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Problem in finding greatest 4 digit number which is divided by 10,11,15 and 22 and leaves 3,4,8,15 a reminder respectively.

Question reference :

What I did : I found LCM of 10,11,15 and 22 which is 5 x 2 x 3 x 11 = 330. Now The greatest four digit number divisor of 330 is 9900. Now how to find the number which leaves 3,4,8,15 reminder respectively ?
 
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