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  • X,Y and Z often eat dinner out.

    1. Each orders either coffee or tea after dinner.
    2. If X orders coffee, then Y orders the drink that Z orders.
    3. If Y orders coffee, the X orders the drink that Z doesn't order.
    4. If Z orders tea, then X orders the drink that Y orders.


    Who do you know always orders the same drink after dinner?
    Replies
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Replies

  • Saandeep Sreerambatla

    Member • Oct 10, 2011

    I think its X.
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  • Ramani Aswath

    Member • Oct 10, 2011

    Statements 2, 3 and 4 cannot be simultaneously true because they are mutually exclusive logically. The puzzle makes sense only if 2, 3 or 4 are considered individually. That is, the result depends on who orders first.

    X orders coffee first, subsequently both Z and Y order either coffee or tea depending on Z's choice. If X orders tea first, then Y and Z may order either.
    This means we have X-coffee or tea, Y- tea or coffee and Z tea or coffee.
    tea. Z now orders coffee or tea while X orders Tea or coffee Y orders coffee first. If Z now orders coffee then X orders tea, else Z orders tea and X orders coffee. Y orders c
    We have Y-coffee or tea, Z- coffee or tea and X-tea or coffee.

    Z orders tea first, then Y orders tea or coffee and X orders tea or coffee. If Z orders coffee first then Y orders tea or coffee and X orders tea or coffee.
    We have Z - coffee or tea, Y-coffee or tea and X -coffee or tea.

    This means that they all may order tea or coffee. No one has only the same drink.

    There seems to be no unique solution.
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  • born_star16

    Member • Oct 10, 2011

    There are 6 cases.

    X Y Z
    I coffee coffee coffee
    II coffee tea tea
    III tea coffee coffee
    IV tea tea tea
    V tea coffee tea
    VI tea tea coffee


    Then, from 3rd Point, Cases I and V are eliminated and, from 4th Point, Cases II and V are eliminated.


    So X always orders the same drink (tea) after dinner.
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  • Radhika Deshpande

    Member • Oct 11, 2011

    born_star16
    There are 6 cases.

    X Y Z
    I coffee coffee coffee
    II coffee tea tea
    III tea coffee coffee
    IV tea tea tea
    V tea coffee tea
    VI tea tea coffee


    Then, from 3rd Point, Cases I and V are eliminated and, from 4th Point, Cases II and V are eliminated.


    So X always orders the same drink (tea) after dinner.
    Yes the logic and answer is correct.
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