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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a = 1, b = 2, c = 3,........, z = 26
(n - a)(n - b)(n - c) .... (n - z).
Students and spiders:
10 heads and 56 legs.
How many students?
I have a 2-digit number. If the order of the digits is changed, it makes a new number, which is one less than half of my number.
What is my number?
Five squares are drawn on the sides of a pentagon as shown.
What is the sum of the five angles marked in red?
Lynne: “Jane is innocent”
George: “Tim is guilty”
Jane: “George is guilty”
Tim: “Lynne is innocent”
Only the guilty person is lying; all the others are telling the truth.
Who is guilty?
The difference between 1/4 of a certain number and 1/5 of the same number is 3.
What is that number?
Find the positive integer, x, that satisfies the equation
√3 + √12 + √27 = √x
The five equally sized rectangles are placed inside a square as shown.
The square has a side length of 24 cm.
What is the area of one rectangle?
The three rectangles below all have the same area.
What is the value of x + y?
The largest of four different real numbers is x.
When the numbers are summed in pairs, the four largest sums are 13, 12, 10 and 9.
What are the possible values of x?