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Puzzle 841
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 842
Can you find every occurrence of the word DECEMBER that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle 843
What number comes next in this sequence:
2 · 5 · 9 · 19 · 37 · ?
Puzzle 844
Cake Theftall logic puzzles
During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try to identify who stole the prize cake from the mid-summers fayre. Below is a summary of their statements:
Alex: it wasn't Emery
it was Billie
Billie: it wasn't Charlie
it wasn't Emery
Charlie: it was Emery
it wasn't Alex
Dale: it was Charlie
it was Billie
Emery: it was Dale
it wasn't Alex
It was well known that each suspect told exactly one lie. Can you determine who stole the cake?