All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Digest
Recently posted problems (5 days):
Show Digest for last: 2 Days | 3 Days | 5 Days | 1 Week | 2 Weeks
Solve in integers for x and y: 6(x! + 3) = y^2 + 5
(No Solution Yet, 0 Comments) Submitted on 2018-10-20 by Ady TZIDON    

N=sum of primes between smallest and largest prime factor of N (inclusive).

Find all possible values for the composite number N below 300.

(No Solution Yet, 2 Comments) Submitted on 2018-10-19 by Ady TZIDON    

The square ABCD has side length 2*sqrt2.
A circle with centre A and radius 1 is drawn. A second circle with centre C is drawn so that it just touches the 1st circle at point P on AC .

Determine the total area of the regions inside the square but outside the two circles.

Source: one of Mayhem problems

(No Solution Yet, 2 Comments) Submitted on 2018-10-18 by Ady TZIDON    

The number 1987 can be written as a three digit number xyz in some base b.
If x + y + z = 1 + 9 + 8 + 7=25, determine all possible values of x, y, z, b.

Source: 1987 Canadian Mathematical Olympiad.

(Solution Posted, 5 Comments) Submitted on 2018-10-17 by Ady TZIDON    

Difficulty: 2 of 5 Box of balls (in Probability) Rating: 4.00
A box contains p white balls and q black balls. Beside the box there is a pile of black balls. Two balls are taken out from the box.
If they are of the same colour, a black ball from the pile is put into the box.
If they are of different colours, the white ball is put back into the box.
This procedure is repeated until the last pair of balls are removed from the box and one last ball is put in.

What is the probability that this last ball is white?

Source: Australian Olympiad 1983

(No Solution Yet, 6 Comments) Submitted on 2018-10-16 by Ady TZIDON    

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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information