Question

Which number when divided by 8,7,6 and 5 levaves the remainder 1,2,3,4 respectively?

Answer 1

find the smallest by hit and trial
then take lcm
for 8 q +2and 7 p + 1 simultaneously implies 56a + 9
6b +3 and 5 c+4 implies 30 q + 9
56a + 9 and 30 q + 9 simultaneosly this is simple that is 840q +9