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Difficulty: 2 of 5 Latest: Hotter and hotter (in Numbers) Rating: 1.00
Today is Saturday. For the last 5 days, Monday to Friday, the temperatures were rising, i.e. each day was hotter than the previous one. The product of the 5 values (Centigrade degrees, rounded to the closest integer) is 12. What are the five temperatures?
(No Solution Yet, 4 Comments) Submitted on 2010-02-08 by Ady TZIDON   
Difficulty: 5 of 5 Bonus: The Best Strategy (in Logic) Rating: 4.18
A box is filled with 'N' slips of paper. On each slip of paper is written some positive integer (note that any positive integer may appear on the slips - not just the integers from 1 to 'N'). The integers do not necessarily appear in any sequence or pattern. Each of the slips has a different integer on it, so there is just one slip with the greatest integer.

A person who has no prior knowledge of which numbers appear on the slips - but who does know that there are 'N' slips - is to blindly pull slips from the box one by one. The person looks at each slip, then either agrees to accept that number (of Rupees) and quit or decides to go on and choose another slip.

Note that the person looks at each slip as he/she proceeds, and then decides whether to quit or to go on. That person can go forward, but cannot go back. If no choice is made by the time the 'N'th slip is reached, then the person must accept the number (of Rupees) on the 'N'th slip.

Does there " EXIST " a 'Best Strategy' for the person ? If " YES ", then what is that strategy ? (Here the term " Best Strategy" means that the person will get the greatest amount of Rupees).

(Solution Posted, 46 Comments) Submitted on 2003-03-18 by Ravi Raja   
Difficulty: 3 of 5Starred Steps Start (in Numbers) Rating: 2.00
Posted on 2010-02-07 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Nine Native Narrative (in Liars and Knights) Rating: 2.00
Posted on 2010-02-06 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 4 of 5Lucky seven (in Numbers)
Posted on 2010-02-05 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Infinitely Continued III (in Numbers)
Posted on 2010-02-04 by K Sengupta (No Solution Yet, 7 Comments)
Difficulty: 3 of 5Drop into the Bucket (in Shapes) Rating: 3.50
Posted on 2010-02-03 by Jer (No Solution Yet, 9 Comments)
Difficulty: 3 of 5Curious Candidate Concern (in Logic)
Posted on 2010-02-02 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 4 of 5My travel IN SOME ORDER (in Numbers)
Posted on 2010-02-01 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Probable Near Pandigital Poser (in Probability)
Posted on 2010-01-31 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5The Rebel IV (in Liars and Knights)
Posted on 2010-01-30 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Enough is enough (in Games)
Posted on 2010-01-29 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Square String Settlement (in Sequences) Rating: 3.00
Posted on 2010-01-28 by K Sengupta (No Solution Yet, 8 Comments)
Difficulty: 3 of 5Dots in a Cube (in Geometry)
Posted on 2010-01-27 by TheKPAXian (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Simply Sliced Sine (in Calculus)
Posted on 2010-01-26 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 4 of 5four or more (in Numbers) Rating: 4.00
Posted on 2010-01-25 by Ady TZIDON (No Solution Yet, 2 Comments)

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