Find the day

Number Theory Level 1

If today is Monday, what day is it in 105 days?

Tuesday Sunday Monday

Bhargav Y by Bhargav Y , 18, India

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2 solutions

Bhargav Y
Feb 20, 2016

Days of the week repeat after 7 days.So we work with modulo 7.

105 ( m o d 7 mod 7 ) = 0, So 105 days later it is still a Monday

2 Helpful 0 Interesting 0 Brilliant 0 Confused

In one week there are seven days. Dividing 105 by 7 results in a whole number. So if today is monday, 105 days from now is also monday.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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