Puzzle 17
Here is a well known proverb with the consonants removed. What is the proverb.
A -i-- i- --e -a-- i- -o--- --o i- --e -u--.
Puzzle 18
DJ Music Festivalall logic puzzles
During a recent music festival, four DJs entered the mixing contest.
Each wore a number, either 1, 2, 3 or 4 and their decks were different colours.
DJ Skinf Lint came first, and only one DJ wore the same number as the position he finished in.
DJ Slam Dunk wore number 1.
The DJ who wore number 2 had a red deck and DJ Jam Jar didn't have a yellow deck.
The DJ who came last had a blue deck.
DJ Park'n Ride beat DJ Slam Dunk.
The DJ who wore number 1 had a green deck and the DJ who came second wore number 3.
Can you determine who came where, which number they wore and the colour of their deck?
Puzzle 19
A Proof That 2 = 1. Let A = B:
A = B
multiply by A on both sides:
A x A = A x B
subtract B x B from both sides:
A x A − B x B = A x B − B x B
factorise:
(A + B)(A − B) = B(A − B)
divide by (A − B) on both sides:
(A + B) = B
replace A with B:
B + B = B
factorise:
2B = B
divide by B on both sides:
2 = 1
Where lies the flaw in the logic?
Puzzle 20
Can you complete the grid without forming a 3-In-A-Row of the same colour.
Each row and column has an equal number of Blue and White squares.
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