2013 Singapore MO (Junior Rd 1) Problem 10

2013 SMO (Junior-Rd1) 10. Let S be the smallest positive multiple of 15, that comprises exactly 3k digits with k ‘0’s, k ‘3’s and k ‘8’s. Find the remainder when S is divided by 11.

(A) 0   (B) 3   (C) 5   (D) 6   (E) 8

Advertisements
This entry was posted in Grade 8, Singapore and tagged , , . Bookmark the permalink.

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s