Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem20

Level 9&10 Video Solutions 2013 problem20

Video Transcription

Video Summary

Roo seeks a six-digit number where the sum of its digits is even and the product is odd. Initially, Statement A suggests having two or four even digits, but this contradicts the requirement for an odd product. Statement B claims such a number can't exist, but example 111,111 fits the criteria, so B is incorrect. Statement C is ruled out since having six odd digits is possible. For Statement D, trying to use all different odd digits results in a seven-digit number, so D is also incorrect. By elimination, the correct conclusion is Statement E.

Keywords

six-digit number

even sum

odd product

contradiction

elimination