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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    

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