A number when divided by 3 leaves a reminder 1, when by 4 leaves a reminder 2, when by 5 leaves a reminder 3, when by 6 leaves a reminder 4. What is the smallest number that satisfies the condition?
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Let no be x
x=3q+1 -------1
q=2p+1--------2
eq is possible only if q is odd so put q=1,3,5....2n-1
if q=3
x=10
if 6 divides 10 it will leave remainder as 4
if q=5
x=16
again remainder will be 4
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