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Sunday Puzzle-54

User Rating: / 6
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Written by Administrator   
Sunday, 06 October 2013
Image
Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and international puzzle expert
Check out his new book "Mathematical Puzzles and Curiosities" on Amazon


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Colored Order

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Bigmouth Bertha had been given a bag of gobstoppers by her mother to stop her
wittering. The bag contained nine colored sweets: three red, three yellow and three green. Bertha removed three sweets from the bag, one at a time. Her brother, Boring Bernard, who was a collector of insignificant detail, noted the following four facts in his diary.

 (a) A yellow sweet was not taken out later than a green one and vice-versa.

 (b) Only if a yellow was removed later than a red one was a green taken earlier than a red.

 (c) A green was not taken earlier than a red and vice-versa.

 (d) The first colour was different from both the second and third colours.


What were the three colors in order of removal?

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Comments (2)
1. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 19:33 06 2013 .
 
 
Yellow Red Red?
 
2. Written by 0_x on 20:20 06 2013 .
 
 
My lazy mind tempted me to do it in an easy way, but ended up in an illogical way :p 
anywayzzz 
[Y Y Y G G G R R R] 
gives 27 unique permutations taking 3 at a time (if im not mistaken :p
 
fact(d) leaves us only 12 out of those: 
 
(a) and (c) crosses out all those containing G&Y AND R&G together; 
 
Only RYY and YRR is left! :zzz 
 
Now, 
The Tricky part is To pay a lil attention to (b), then comparing it to (c) again. 
I actually read those two again & again atleast 6 times! :eek 
Thennnn! 
The answer: YRR 
 
YELLOW - RED - RED 
 
Ting! Ting! 
0_x
 

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