Question

what is the least number of four digit which leaves a remainder 7 in each case when divided by 9 and 12​

Answer 1

Least no. of 4 digit = 1000

LCM of 9 and 12:-

3 | 9 , 12

3 | 3 , 4

3 | 1 , 4

= 108

so,

108 ) 1000 ( 9

- 972

____

280