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> Logic> Probability> Shapes> General
> Numbers (1)> Games> Paradoxes> Riddles
> Just Math (5)> Science> Algorithms
The values p and q in the quadratic expression 2x2 - px + q are determined by throwing two standard fair cubical dice, one red and one blue.

p is given by the value shown by the red die and q is given by the value shown on the blue die.

What is the probability that the equation 2x2 - px + q = 0 will have a solution that is a prime number?
(No Solution Yet, 3 Comments) Submitted on 2024-02-21 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Through the Hole (in Shapes)
A toy for one year olds consists of a series of holes and a bunch of objects to push through those holes. The holes come in shapes of circle, square, triangle, etc. And the objects are cylinder/prism versions of the holes. Usually when a child tries to push an object through the hole he or she usually twists the object until it goes through, although each object can be pushed through without twisting if the correct orientation is found.

What if instead of nice cylindrical objects, they were irregularly shaped but still convex. Assume that it is possible to get these irregular objects through the holes by twisting and manipulating them. Is it still possible to find an orientation that will allow the irregular objects through without twisting?
(No Solution Yet, 2 Comments) Submitted on 2009-11-09 by Brian Smith   
Difficulty: 2 of 5Ellipse covered by 2 circles (in Calculus)
Posted on 2024-02-21 by Jer (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Distinct Powers (in Numbers)
Posted on 2024-02-20 by Steven Lord (Solution Posted, 3 Comments)
Difficulty: 3 of 5Find Last 3 Digits (in Just Math) Rating: 5.00
Posted on 2024-02-20 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 3 of 5Helping without trig (in Just Math)
Posted on 2024-02-19 by Jer (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Polygon Perimeter (in Just Math)
Posted on 2024-02-19 by Danish Ahmed Khan (No Solution Yet, 4 Comments)
Difficulty: 3 of 53 Cubes #2 (in Numbers) Rating: 5.00
Posted on 2024-02-18 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 3 of 5Define the members of S (in Just Math)
Posted on 2024-02-18 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Prime Pairs satisfy Quintic = Cubic (in Numbers) Rating: 5.00
Posted on 2024-02-17 by K Sengupta (Solution Posted, 5 Comments)
Difficulty: 3 of 5Square Root Extraction (in Numbers) Rating: 5.00
Posted on 2024-02-17 by K Sengupta (Solution Posted, 0 Comments)
Difficulty: 4 of 5Prime Digit Replacements (in Numbers) Rating: 5.00
Posted on 2024-02-16 by Steven Lord (Solution Posted, 4 Comments)
Difficulty: 3 of 5Multiplication Includes All Digits (in Numbers)
Posted on 2024-02-16 by Larry (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Coordinate calculations (in Just Math) Rating: 4.00
Posted on 2024-02-15 by Danish Ahmed Khan (No Solution Yet, 4 Comments)
Difficulty: 1 of 5Remainder Reckoning (in Numbers) Rating: 4.00
Posted on 2024-02-15 by Danish Ahmed Khan (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Inradius as the GCD of sides (in Just Math) Rating: 4.00
Posted on 2024-02-14 by Danish Ahmed Khan (No Solution Yet, 2 Comments)

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