Three-digit 8002

Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six.

Correct answer:

x =  958

Step-by-step explanation:

3 ...  prime number 4=22 5 ...  prime number 6=23 LCM(3,4,5,6)=2235=60  y=LCM(3,4,5,6)=60 k1=999/y=999/60=20333=162013=16.65 x1=15 y=15 60=900 x2=x1+y=900+60=960  x1< x < x2 900< x < 960 x=958



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