Three sisters - Hannah, Hope and Hillary - are identical triplets. However, while Hannah always tells the truth, Hope always lies, and Hillary is only occasionally truthful.
All three sisters came to the doctor's office but only Hope needed to get her influenza shots. Confused to see three identical faces, doctor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Hannah."
Then he asked the sister in the middle, "What is your name?" The response given was, "I'm Hillary." Confused, he turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Hope."
Frustrated to receive three different answers to the same question, doctor turned to logic. Can it help him figure out which sister to take for the shot?
Submit your answer on our Family Puzzle Marathon Be first to solve three puzzles and get a prize!
See TheMathMom presentation:
Popular Puzzles
-
This is an easy puzzle that you all are welcome to share with your kids and friends: Put addition signs between the digits 88888888 to get ...
-
This puzzle arrived via email from one of the fans. Can you move just one match to make this statement correct? There is more than one sol... -
Here is a number magic trick that came to me via mail. All of you, math detectives, are invited to unveil its magic with your logic. Tak... -
This came in a magic trick box that our daughter picked for her birthday. Exhausted from all the Bar Mitzvah preparations for her older b... -
This came from my son who got it from someone else at school. I solved it quickly and texted him the answer just as I was getting into ... -
Magic squares are tables of numbers where sums of every row, every column and both diagonals produce the same number. No, they were not in... -
My daughter's school teacher is showing kids some number mysticism. She told them to take any 3 digit number, e.g.793. Scramble its digi... -
We are done with the winter Olympics and now are looking forward to the Oscar's entertainment. As we saw in the previous puzzle , t... -
I found this puzzle in a tiny but mighty pocket puzzle book named Optical Illusions. Suppose the yellow billiard ball strikes the bumper a... -
You have 42 parrots and 7 cages of various sizes. Lock all the parrots inside the cages so that no cage is empty and each cage contains an ...
5 comments:
Number the girls left to right as 1, 2, 3.
Assume #1 is telling the truth. Then #2 is Hanna and #1 is Hillary. But - #2 says she's Hillary, which would be a lie if she's Hanna, which she can't do. So, #1 is lying and must be Hope or Hillary.
Assume #2 is truthful. She's Hillary, who can tell the truth. Since #2 is Hillary, #1 must be Hope (see above). That makes #3 Hanna... but #3 says #2 is Hope, which is a lie, and Hanna can't lie. Therefore, #2 must also be lying.
Since #1 and #2 are lying, #3 must be Hanna. Since Hanna tells the truth, #2 must be Hope and #1 must be Hillary.
Right on, Dennis! Take the middle sister for the shot. Did you read Sherlock Holmes growing up?
the first statement could not have been said by Hannah because that would be a lie.
the second statement could not have been said by Hannah because that would be a lie.
the third statement has to have been said by Hannah because she needs to answer and has not yet answered the question.
the first statement could not have been said by Hannah because that would be a lie.
the second statement could not have been said by Hannah because that would be a lie.
the third statement has to have been said by Hannah because she has not yet answered the question and needs to give an answer.
I'm 11, and I got the same answer as Dennis. YAY!
Post a Comment
Note: Only a member of this blog may post a comment.