All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Digest
Recently posted problems (7 days):
Show Digest for last: 2 Days | 3 Days | 5 Days | 1 Week | 2 Weeks
Six words are to be entered, one across each row of the grid.

The colors are present to create individual regions. In each region all the letters are the same. Two adjacent regions have different letters; non-adjacent regions may or may not have the same letter regardless of same or different color.

Clues for the words in the four middle rows (rows 2-5), in random order, are:

  • hot dog topping
  • VCR's "go back to start" button
  • negligent
  • language of Warsaw

From Mensa Puzzle Calendar 2019 by Fraser Simpson, Workman Publishing, New York. Puzzle for June 14.
(No Solution Yet, 0 Comments) Submitted on 2019-06-26 by Charlie    

Take a 7x7 grid of squares and remove the center square.

Take two 5x5 grids of squares and remove each center square.

Cut the smaller figures into as few pieces as possible and reassemble to form the larger.

Is it possible to use fewer pieces if you are allowed to remove a different square than the center any of the original shapes?

(No Solution Yet, 2 Comments) Submitted on 2019-06-25 by Jer    

Lucy stands on a set of faulty scales that state her mass as 48 kg. David's mass from the same scales is recorded as 56 kg and their combined mass is recorded as 107 kg.

Assuming the magnitude and nature of the errors was constant, what is the true mass of David?
(No Solution Yet, 2 Comments) Submitted on 2019-06-24 by Danish Ahmed Khan    

Given that 134-65+59 is the product of exactly 5 distinct prime factors, what is the largest?
(No Solution Yet, 1 Comments) Submitted on 2019-06-23 by Danish Ahmed Khan    

Let f:ℝ→ℝ be twice differentiable such that f(0)=2, f'(0)=-2, f(1)=1

Find for at-least how many c ∈ (0, 1)


is satisfied.
(No Solution Yet, 1 Comments) Submitted on 2019-06-22 by Danish Ahmed Khan    

There are two identical uniform spherical planets of radius R. The first has its center at the origin of the xyz coordinate system. The second has its center at (2R, 0, 0). The planets are touching.

A projectile is launched from the "North Pole" of the first planet at (0, 0, R) with its initial velocity pointed in the direction of the vector (1, 0, 1).

Let the escape speed relative to the planet's surface be ve. Note that here, the escape escape is for a single planet in isolation (following the typical convention).

With the given launch vector, let v0 be the minimum launch speed for the projectile to reach the "North Pole" of the second planet at (2R, 0, R).

How are the two speeds ve and v0 related?
(No Solution Yet, 1 Comments) Submitted on 2019-06-21 by Danish Ahmed Khan    

If cos x is irrational, find maximum positive integer n such that cos 2x, cos 3x, ... cos nx are all rational.
(No Solution Yet, 1 Comments) Submitted on 2019-06-20 by Danish Ahmed Khan    

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information