Logic Puzzle: Alien Fruits

January 14, 2009

When the crew of the spaceship Altair — three men and three women — set foot on a new planet, they found six unfamiliar fruits of different colors growing there.  Each crew member volunteered to sample one of the fruits.  Each fruit had a taste similar to an Earth fruit, and each had a different effect on the person who tried it.  (One had no effect.)  From the clues given, match each person by name, position, color of fruit, taste, and effect, if any.

1. Either A or B is True, but not both:

    A. The Navigator experienced no effect from the fruit he or she ate.

    B. The fruit that tasted like lime caused a headache.

2. The six crew members are: Edward (who didn’t eat the purple fruit), the Doctor, the one who ate the pink fruit, the one who ate the fruit that tasted like grapes, the one who got an upset stomach, and the Second Officer.

3. The three women are: the Captain, the one who got a rash, and the one whose fruit tasted like watermelon.

4. Philip, who is not the Second Officer, did not eat the blue fruit (which did not cause a feeling of stimulation).

5. The Science Officer and Second Officer are of different sexes.  One got a headache, and the other ate the green fruit (which did not taste like pear).

6. The six fruits are: the one Maureen ate, the one George ate, the one the Engineer ate, the purple one, the one that tasted like apricot (which was not eaten by Edward), and the one that caused an upset stomach.

7. Neither Joan nor the person who experienced hallucinations ate the fruit that tasted like pear (which was not brown) or the one that tasted like cherries.

8. The brown, blue, and yellow fruits are, in some order, the one Amy ate, the one that caused a feeling of stimulation, and the one that tasted like grapes.

9. George and the Second Officer are, in some order, the one who ate the blue fruit, and the one who got a headache.

Try another puzzle? — https://cradkilodney.wordpress.com/2008/05/26/logic-puzzle-crooked-accountants/ 

    Copyright@ 2009 by Crad Kilodney, Toronto, Canada.  E-mail: crad166@yahoo.com

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The venerable psychoanalyst Dr. Frood, who specializes in dream interpretation, keeps office hours from 9 a.m. to 4 p.m.  He schedules six patients a day, beginning on the hour at 9 a.m., with the last appointment running from 3 p.m. to 4 p.m.  He takes his lunch hour either at noon or 1 p.m.  Today he had six patients scheduled — Amy, Fred, Gus, Helen, Richard, and Selma — but one of them was a no-show.  The other five related dreams about having an operation, being lost in a shopping mall, being chased, being a celebrity, and flying.  From the clues given, account for all seven hours of Dr. Frood’s day, and determine who related which dream.

1.  Three consecutive hours were accounted for, in some order, by Fred’s appointment, the patient who dreamed of being lost in a shopping mall, and lunch.

2.   Amy was not the first woman scheduled.

3.  The no-show was one of the only two patients of the same gender to be scheduled for consecutive hours.

4.  Five of the six patients are: Helen, the patient booked for 10 a.m., the patient who dreamed of being a celebrity, the man who preceded the no-show by one hour, and the patient who was scheduled two hours before lunch.

5.  Either A or B is true, but not both:

     A.  Fred dreamed of being chased.

     B.  Selma was scheduled for 3 p.m.

6.  A man scheduled sometime before lunch related the dream of having an operation.

7.  Helen’s appointment was later than Richard’s, which was later than that of the patient who dreamed of being lost in a shopping mall.

8.  A woman was scheduled for 11 a.m.

Try another puzzle? — https://cradkilodney.wordpress.com/2008/05/29/logic-puzzle-terrorists/

     Copyright@ 2008, by Crad Kilodney, Toronto, Canada.  E-mail: crad166@yahoo.com

    Mr. Matthews has just joined Ace Company as its new financial officer, in charge of a group of six accountants: Betty, Bob, Ed, Frank, Gladys, and Marsha.  The departing financial officer has confided to him that two of the six accountants are crooks; also that two of them always lie, two always tell the truth, and two alternate between lies and truth (and are therefore neither liars nor truthful).  Unfortunately, he has refused to name names since it is no longer his problem.

    Mr. Matthews must now figure out who the crooks are.  He has devised a cunning plan: he has asked each accountant to slip him a confidential note containing two or three statements about the thefts and about the other accountants.  Help Mr. Matthews wade through the conflicting statements he has gotten back from his accountants and identify the crooks.

Betty:  1.  No women are crooks.

            2.  Gladys and Marsha are liars.

Bob:  1.  Betty is a crook, but I am not.

          2.  One of the women is a liar.

Ed:  1.  Marsha is a crook, but I am not.

       2.  Frank tells the truth.

       3.  Marsha lies half the time.

Frank:  1.  Gladys is a crook, but I am not.

             2.  Bob is a liar.

Gladys:  1.  Betty isn’t truthful.

               2.  Ed is not a crook.

Marsha:  1.  Gladys is a liar.

                2.  Frank is not a crook.

 Try another puzzle? — https://cradkilodney.wordpress.com/2008/05/27/logic-puzzle-psychoanalysis/

     Copyright@ 2008 by Crad Kilodney, Toronto, Canada.  E-mail: crad166@yahoo.com