Question

N is the largest two digit number which when divided by 3 4 and 6 leaves the remainder 1 2 and 4 respectively.what is the remainder when n is divided by 5

Answer 1

rial and error soon finds the smallest number is 10.

The LCM of 3,4 and 6 is 12.

So, find the largest multiple of 12 that is still under 100 when you add 10 to it.

84 + 10 = 94

94 mod 5 = 4