What is the greatest 6-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 3, 4, 5, 6 and 7 respectively? Choose the correct choice from the following answers.
A) 456780
B) 678910
C) 997479
D) 997917
E) 997920
When you divide a positive integer by 10, the remainder will just be the units digit. We know the remainder is 7 when we divide by 10, so 997917 is the only possible answer.
<result>D</result>
What is the greatest 6-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 3, 4, 5, 6 and 7 respectively?