7
$\begingroup$

"The number of messages I sent yesterday was less than the messages I sent three days ago, and more than the messages I sent ten days ago."

How many consecutive days can someone make this statement given that it is true?

$\endgroup$

1 Answer 1

8
$\begingroup$

Not so many days.

A total of 7 days to be exact.
Your number will have to be gradually smaller to stay smaller than 3 days ago, but when that first value of 3 days ago becomes the value of 10 days ago, it will be too high. 10-3 = 7 days.
Example : 0-0-0-0-0-0-0-9-9-8-8(TODAY)-7-7-6-6-5-5.

EDIT:

It is actually possible to get an 8th day by using a simple trick. 1 day ago and 3 days ago are odd, but 10 days ago is even, so by creating 2 chains, we can make it so the number from yesterday be from a high chain and the the value from 10 days ago be from a low chain
Example : 0-0-0-0-0-0-0-9-19-8-18(TODAY)-7-17-6-16-5-15-4

$\endgroup$
1
  • $\begingroup$ There is just one thing you didn't consider, it will be right if you correct it. $\endgroup$
    – KeithN
    Commented May 19, 2017 at 6:22

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.