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> Just Math> Science> Algorithms
Difficulty: 4 of 5 Latest: First or second? (in Games)
Two players alternatively erase some 9 numbers from the sequence 1,2,...,101 until only two remain. The player that starts wins x−54 dollars from the player that plays second, x being the absolute value of the difference between the remaining two numbers.

Would you rather be the first or the second player?
Explain your decision by providing your strategy.

(No Solution Yet, 0 Comments) Submitted on 2017-05-23 by Ady TZIDON   
Difficulty: 5 of 5 Bonus: Pills they had 2 (in Logic)
Continuing on the pills problem.

Mowing a lawn 5 acres in size is part of a community service project. A group of people, including boys, girls, ladies and men, take up the job. They continue until the job is done. The grass also is growing at a constant rate hence the job increases if the number of days are higher but on the opening day job is the same.

a) 6 boys and 3 ladies can do the job in 4 days.
b) 8 girls & 3 men can do it in 3 days, which is the same as the time taken by 3 men and 6 Ladies.
c) Men work twice as fast as boys.
d) If only a girl were to do the job she would never be able to complete the job.

One day they reach the place of work and find that there are four bowls containing pills ( Either Poison pill or Energy pill ) kept for each category. (Marked- Boys, Girls, Ladies & Men). After consuming a poison pill their rate reduces to one third and after consuming an energy pill their rate becomes double. Three of these bowls contain one type of pill & one contains the other type.

In all, eight persons are present and there is at least one member from each category. They each take one pill from their respective bowl and start working. The job was completed in 9 days and the number of ladies is not more than the number of boys. How many boys, girls, ladies and men were present and which pill did they have?
(No Solution Yet, 2 Comments) Submitted on 2006-06-13 by Salil   
Difficulty: 2 of 55 dice (in Probability) Rating: 3.00
Posted on 2017-05-22 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 4 of 5Add one more circle (in Geometry)
Posted on 2017-05-21 by Brian Smith (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Seven Point Placement (in Shapes) Rating: 4.00
Posted on 2017-05-20 by Brian Smith (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Four balls (in Probability)
Posted on 2017-05-19 by Ady TZIDON (No Solution Yet, 20 Comments)
Difficulty: 2 of 5Two sentences about Lady Chatterley (in Logic) Rating: 4.00
Posted on 2017-05-18 by ollie (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Unreliable Witnesses (in Logic) Rating: 3.67
Posted on 2017-05-17 by Charlie (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Hands off! (in Weights and Scales) Rating: 3.00
Posted on 2017-05-16 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Not every prime qualifies! (in Numbers)
Posted on 2017-05-15 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Twice blind (in Numbers)
Posted on 2017-05-14 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5How much is "?" ? (in Numbers)
Posted on 2017-05-13 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Dirichlet sends his regards (in Logic) Rating: 3.00
Posted on 2017-05-12 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Inder Taneja's discovery (in Numbers)
Posted on 2017-05-11 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5One more line (in Logic)
Posted on 2017-05-10 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5The length of the belt (in Geometry) Rating: 3.00
Posted on 2017-05-09 by Ady TZIDON (No Solution Yet, 5 Comments)

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