10ticks Friday Puzzle

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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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This week's Friday Puzzle

Let N be the product of the first eleven positive integers.

If  N10x   is an integer, what is the maximum possible value of x?

 

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Friday Puzzle (19/05/2017)

In the diagram, how many degrees in total are the four marked angles, in terms of a and b?

angles

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Friday Puzzle (12/05/2017)

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.

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Friday Puzzle (05/05/2017)

The length of a rectangle is 2/5 the perimeter of the rectangle.

What fraction of the rectangle’s length is the width?

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Friday Puzzle (28/04/2017)

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.

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Friday Puzzle (21/04/2017)

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?

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Friday Puzzle (07/04/2017)

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!)

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Friday Puzzle (31/03/2017)

The sum of the consecutive integers from -72 to x, inclusive is 298.

What is x?

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Friday Puzzle (24/03/2017)

A rectangle is inscribed into the quadrant of a circle as shown.

Given the unit distances shown, find the length of AC.

quadrant

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Friday Puzzle (17/03/2017)

The lowest common factor of 1147 and 1517 is 1.
What is the next lowest common factor?

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