The puzzle goes like this:
A popular new secretary at the law firm of Farnsworth, Newman, O’Malley,
Price, and Reynolds, is taken to lunch by a different one of those five
men on each of her first week on the job. Each man took her to eat at a
different one of these five types of food: Chinese, French, Greek,
Indian, and Mexican.
From the information given, determine whom she went
to lunch with on each day and the type of food that they had.
1.
Neither Mr. Newman nor Mr. Reynolds took her to lunch on Thursday or
Friday but one took her for Chinese food and the one who took her lunch
earlier than the other her for Greek food.
2. She went for a Mexican
food lunch before her Indian food lunch but after her lunch with Mr.
Price.
3. She had lunch with Mr. Farnsworth before her lunch with Mr. O’
Malley but after the lunch when she French food, which was not on
Monday.
4. She has lunch with Mr. Newman later in the week than than the
lunch when she had French food.
To solve the puzzle, we list the possible entries for each day.
For the person she went ot with:
Monday: Reynolds, Newman, Price
Tuesday: Reynolds, Newman, Price
Wednesday: Reynolds, Newman, Price, Farnsworth
Thursday: Farnsworth, O'Malley
Friday: O'Malley
For the food she ate:
Monday: Greek,
Tuesday: Greek, Chinese, Mexican, French
Wednesday: Chinese, Indian, Mexican, French
Thursday: Indian, Mexican,
Friday: Indian
From information (1): Reynolds and Newman can either be on Monday, Tuesday or Wednesday. Greek food can either be on Monday or Tuesday while Chinese food can either be on Tuesday of Wednesday (since Greek food came before Chinese food).
From information (2): Indian food can either be on Wednesday, Thursday or Friday while Mexican food can either be on Tuesday, Wednesday or Thusday. She went out with Price either on Monday, Tuesday or Wednesday.
From information (3): She ate French food either on Tuesday or Wednesday. Farnsworth took her out either on Wednesday or Thursday while O'Malley took her out either on Thursday or Friday.
From information (4): She has lunch with Mr. Newman later in the week than than the
lunch when she had French food. This means that she ate French food on Tuesday and went out with Newman on Wednesday.
Thus the solution is:
Day Person | Food
Monday: Reynolds | Greek
Tuesday: Price | French
Wednesday: Newman | Chinese
Thursday: Farnsworth | Mexican
Friday: O'Malley | Indian
