Spiri.Of.Genius

Alex, Betty, Carol, Dan, Earl, Fay, George and Harry are eight employees of an organization
They work in three departments: Personnel, Administration and Marketing with not more than three of them in any department.

Each of them has a different choice of sports from Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis not necessarily in the same order.

1.Dan works in Administration and does not like either Football or Cricket.

2.Fay works in Personnel with only Alex who likes Table Tennis.

3.Earl and Harry do not work in the same department as Dan.

4.Carol likes Hockey and does not work in Marketing.

5.George does not work in Administration and does not like either Cricket or Badminton.

6.One of those who work in Administration likes Football.

7.The one who likes Volleyball works in Personnel.

8.None of those who work in Administration likes either Badminton or Lawn Tennis.

9.Harry does not like Cricket.

Who are the employees who work in the Administration Department?

In which Department does Earl work?

This is oversimplified hypothetical story in which the winner was my friend!

One day Chuckles came to my home; he is my friend. I am 'smart' enough to immediately ask him story behind that mind teaser. What he had thought at that time is in his own words here...

"If I had red cross on my forehead then there is no way Wombat & Breeze raised their hand looking at me. What Wombat (or Breeze) would have thought in that case

Wombat (or Breeze) must have thought that Breeze (or Wombat) must have raised hand after looking green cross on my forehead as Chuckles have red cross on forehead.

So both would have come to know what they have on their own forehead & would have taken hands down immediately. But they didn't.

Hence I concluded, I must have green cross on my forehead & hence I took my hand down & earned the scholarship."
 

23 hours ago, John Cuthber said:

I'd have got it quicker than the solution given via that link.

While I had my eyes shut, I'd realise that, assuming the test is fair, then it must be symmetrical with respect to interchange of any two candidates.

So, my cross must be the same colour as either of the other candidates (and their crosses must also be the same colour as eachother).

To be a fair test, all 3 candidates must have the same colour cross.

So I only have to blurt out the colour of  the first cross I see in order to win.

Okay, but the your solution is based on the big assumption that the test is fair. How would we/participants know that the professor is very honest to present a fair contest? The link redirects you to the original puzzle.

CAN YOU CRACK THIS MATHS OLYMPIAD QUESTION? JUST RE POSTING IT!

Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.

Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert: I don't know when Cheryl's birthday is, but I know that Bernard does not know too.

Bernard: At first I don't know when Cheryl's birthday is, but I know now.

Albert: Then I also know when Cheryl's birthday is.

So when is Cheryl's birthday?

"The scholarship will be awarded," said the head to three candidates - Chuckles, Wombat & Breeze - "to the winner in this little competition. I am going to chalk a cross, which will be either a green or a red cross. I shall then ask each one who can see a green cross to hold his hand up; and take his hand down as soon as he can tell me what his own cross is. He must, of course, be able to explain how his answer is arrived at. Kindly close your eyes for 10 seconds."

He chalked a green cross on all three foreheads. "Go!"

All three hands shot up in air ; that of Chuckles was almost immediately lowered. "My cross is green , Sir" 

How did Chuckles know?

More at https://spirit-of-genius.blogspot.in/2017/07/mind-blowing-brain-teaser.html

On 1/13/2018 at 9:36 AM, OldChemE said:

Answers (in question order) are b, a, True, False, False

 

scores (in order ) were 2, 1, 0, 4, 3

 

Good puzzle-- easy if you set up the possible permutations on a spreadsheet-- but fun.

That's the correct answer....Here is the explanation......https://spirit-of-genius.blogspot.in/2018/01/responding-to-test-of-examiner.html

Five students - Adam, Cabe, Justin, Michael and Vince appeared for a competitive exam. There were total five questions asked from them from which were two multiple choice questions (a, b or c) and three were true/false questions. Their answers are given as follows:
Name I II III IV V

Cabe c b True True False

Adam c c True True True

Justin a c False True True

Michael b a True True False

Vince b c True False True

Also, no two students got the same number of correct answers. Can you tell the correct answer? Also, what are their individual score?