Question

A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves the remainders 1, 2, 3, 4, 5, 6 and 7 respectively. the number is

Answer 1

Hy there,
LCM(2,3,4,5,6,7,8)= 1680
2-1=3-2=4-3=...=8-7=1

reqd no. = 1680-1 = 1679