Question

A no when divided by 2,3,4,5,6,7,8,9 gives remainder 1. Find least number

Answer 1

Let the number be x,

X+9 gives remainder 3 when divided by 9

X+9 gives remainder 3 when divided by 8

X+9 gives remainder 3 when divided by 7

So (LCM of 7,8,9) +3 is X+9

Which gives X+6= 504

X=498

So 498 is the smallest number which when divided by 7,8,9 gives remainder 1,2,3 respectively.