TESTfunda Puzzle of the Week 11-Apr-14

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Testfunda
11-Apr-14
Puzzle of the Week
Puzzle #308 - "Of Yo and the Yus"
10-Apr-14
Yo Chitre (Yo) participated in the Hunger Games 2014. He qualified for the final level of the game which was to be held in Yo Yo land, a land in which everyone could solve all kinds of logical and mathematical problems. The last round consisted of reaching Yo Yo land and getting a problem solved by the inhabitants. Yo managed to reach Yo Yo land successfully. However, he got stuck while getting the problem solved. He found that the inhabitants of that land either always lie (knaves) or always speak the truth (knights). The wise sage of Yo Yo land asked him to consult the three “Yu”s to resolve the issue. So, Yo met Sirayu (S), Firayu (F) and Hirayu (H). He had no idea about who was telling the truth. Also, the rules of the game allowed him to ask only one extra question to each of them apart from the problem statement. So he asked the following questions to them:

Yo to S: How many of you in this group are knights? 

S answered, but was inaudible.

Yo to both F and H: What did S say?

F: S said that there is exactly one knight among us.

H: Don’t believe F. He is lying.

Now, if Yo Chitre was successful in finding out who was telling the truth, he could determine the correct answer to the following problem solved by the inhabitants:

There are 17984562125451 cue cards on a table. One face of each card is purple in colour, and the other face is yellow. The yellow faces of all the cards face upwards. How many times does one need to flip the cards so that all the purple cards face upwards? It is known that exactly 2 cue cards can be flipped at a time.

Help Yo identify what that answer was.
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If you have ideas on how to solve it, or would like to discuss it with other users, we recommend that you put your thoughts in the comments section. Please don't post complete solutions for the ongoing puzzle before the results are declared.
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