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AD and AE are respectively the altitude and angle bisector of ΔABC (D and E are on side BC). If DB - DC = 1029 and EB - EC = 189 then what is the value of AB - AC?
(No Solution Yet, 0 Comments) Submitted on 2019-02-17 by Danish Ahmed Khan    

Find the minimum of √(58 - 42x) + √(149 - 140√(1 - x2)), where -1 <= x <= 1.
(No Solution Yet, 1 Comments) Submitted on 2019-02-16 by Danish Ahmed Khan    

Put three congruent triangles inside a unit square so that they don't overlap one another.

What is the maximum possible area of one of the triangles?
(No Solution Yet, 0 Comments) Submitted on 2019-02-15 by Danish Ahmed Khan    

66, 78, 93, 105, 111, 114...
Consider the 5 numbers above.

Evaluate the next 3 numbers.
(No Solution Yet, 1 Comments) Submitted on 2019-02-15 by Ady TZIDON    

8,9,2,0,1,5 ...

To get all ten digits you have to add 3,4,6 and 7.

Just so, but in what order?

(Solution Posted, 4 Comments) Submitted on 2019-02-14 by Ady TZIDON    

Prove that all numbers of the form 12008, 120308, 1203308, ... are divisible by 19.
(No Solution Yet, 2 Comments) Submitted on 2019-02-14 by Danish Ahmed Khan    

The sum of all divisors of this semiprime number is 2696.

What is the number?

Bonus: What if the word "semiprime" was erased from the puzzle?

(No Solution Yet, 2 Comments) Submitted on 2019-02-13 by Ady TZIDON    

A cube on a table has edge length 24. A plane intersects the cube's four vertical edges at points A, B, C, and D such that point A is a vertex of the cube lying on the table. The heights of points B and C from the table floor are 7 and 12, respectively.

Calculate the volume of the portion of the cube that lies underneath the cutting plane.
(No Solution Yet, 4 Comments) Submitted on 2019-02-13 by Danish Ahmed Khan    

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