perplexus.info :: General : Year Yearn 2

Year Yearn 2 (Posted on 2014-12-11)

The year 2014 when divided by 24 yields a quotient of 83 and a remainder of 22. The number 83 when divided by 7 yields a quotient of 11 and a remainder of 6. So, the number 2014 when successively divided by 24 and 7 yields the respective remainders of 22 and 6.

Which year comes next that yields the respective remainders of 22 and 6 upon successive divisions by 24 and 7? Which year before 2014 has this property?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The year that comes next is 2182. The year before 2014 with the property is 1846.
For an explanation, refer to the solution submitted by Charlie in this location, and Ady TZIDON in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: d1 solution	Ady TZIDON	2014-12-12 02:14:02
d1 solution	Jer	2014-12-11 13:36:40
between 1000 and 3000 -- computer solution	Charlie	2014-12-11 08:48:22
full solution	Ady TZIDON	2014-12-11 07:58:00

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info