Thursday, September 25, 2014

JMO

What is the remainder when 91+92+93+....+98 is divided by 6?




answer:

= 9 x (1 +9 + 92 ....................+ 97)/ 6
= 3 x (1 + 9 + 1 + 9 + 1 + 9 + 1 + 9)/2   ...... recording the units place only
= 3 x ..0 / 2 ...... recording the units place only

= since the units place is zero, there is no remainder.

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