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9 replies to this topic

#1 K Sengupta

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Posted 10 January 2010 - 07:33 PM

There are six civil service job openings. Thirteen candidates passed the civil service exam with equally high scores. So the administrators gave them all a second test. This one had only five questions, each with a Yes/No answer.

The test results of the candidates had thirteen different answer sequences. The top six had the same number of correct answers and were all hired.

Three of those who were not hired had these answer sequences:

• No, No, Yes, No, No
• Yes, No, No, Yes, Yes
• Yes, Yes, Yes, No, Yes

What was the correct sequence of answers?
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#2 DarthNoob

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Posted 10 January 2010 - 08:15 PM

Spoiler for is it

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#3 Leonerdo

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Posted 10 January 2010 - 08:15 PM

Spoiler for Guess

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#4 superprismatic

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Posted 10 January 2010 - 09:32 PM

Spoiler for the answer

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#5 Chuck

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Posted 10 January 2010 - 09:41 PM

Spoiler for Well...

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#6 roolstar

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Posted 10 January 2010 - 10:14 PM

This OP did produce a single solution!

This made me think of a twist:

Would we always have one single solution had K Sengupta chose any other triplet of 3 jobless candidates in that interiew?
Spoiler for The right combination being


If not, what is(are) the triplet(s) that would give more than one possible solution in that case?

Remember, the right sequence is fixed in the spoiler above
The jobless candidates have 2 or less right answers

I hope it's ok with K Sengupta that I posted this.
I hope you find it interesting to prove/disprove.
At least, it was for me!
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#7 Clinton Mehring

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Posted 11 January 2010 - 06:14 AM

There are six civil service job openings. Thirteen candidates passed the civil service exam with equally high scores. So the administrators gave them all a second test. This one had only five questions, each with a Yes/No answer.

The test results of the candidates had thirteen different answer sequences. The top six had the same number of correct answers and were all hired.

Three of those who were not hired had these answer sequences:

• No, No, Yes, No, No
• Yes, No, No, Yes, Yes
• Yes, Yes, Yes, No, Yes

What was the correct sequence of answers?

Answer is No, Yes, No, Yes, No.
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#8 CC>>Inferno

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Posted 11 January 2010 - 10:12 PM

Spoiler for Answer

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#9 CC>>Inferno

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Posted 11 January 2010 - 10:43 PM

oops! I was wrong. I wrote the OP answers incorrectly on my paper
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#10 heryou

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Posted 12 January 2010 - 01:59 PM

There are six civil service job openings. Thirteen candidates passed the civil service exam with equally high scores. So the administrators gave them all a second test. This one had only five questions, each with a Yes/No answer.

The test results of the candidates had thirteen different answer sequences. The top six had the same number of correct answers and were all hired.

Three of those who were not hired had these answer sequences:

• No, No, Yes, No, No
• Yes, No, No, Yes, Yes
• Yes, Yes, Yes, No, Yes

What was the correct sequence of answers?

Spoiler for


edit: sweet

Edited by heryou, 12 January 2010 - 02:02 PM.

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