Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!
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Let N be the product of the first eleven positive integers.
If N⁄10x is an integer, what is the maximum possible value of x?
In the diagram, how many degrees in total are the four marked angles, in terms of a and b?
It takes 3 seconds to blow up a perfectly spherical balloon so it has a diameter of 6 inches.
Betty wants it bigger, so keep blowing.
How much longer will it take to blow up the balloon from a diameter of 6 inches to a diameter of 12 inches?
Note: the rate of air input is constant and no other external factors affect the balloon.
The length of a rectangle is 2/5 the perimeter of the rectangle.
What fraction of the rectangle’s length is the width?
A man’s age, when the digits are reversed, is the same as his daughter’s age.
The sum of their ages is 99 and the difference between their ages is a cubic number.
Find the ages of the man and his daughter.
An uncancelled fraction is equal to 1/2. Its numerator is reduced by 2 and its denominator increased by 2 so the fraction is now worth 1/3. What was the original fraction?
153 is a 3-digit number where the sum of the cubes of the digits is equal to the number.
13 + 53 + 33 = 153
Find another 3-digit number that has this property.
(There are 3 more!)
The sum of the consecutive integers from -72 to x, inclusive is 298.
What is x?
A rectangle is inscribed into the quadrant of a circle as shown.
Given the unit distances shown, find the length of AC.
The lowest common factor of 1147 and 1517 is 1.
What is the next lowest common factor?