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Thread: Can you suggest for finding

  1. #1
    Contributing Member
    Join Date
    Jul 2006
    Answers
    50

    Question Can you suggest for finding

    There are eight eggs which are identical in shape and look but one is lighter in weight. How is it possible for one to weigh only 2 times on a balance scale to find out the lighter egg?


  2. #2
    Expert Member
    Join Date
    Jun 2006
    Answers
    410

    Re: Can you suggest for finding

    Bob, Here is the solution.

    Let us say we have eight eggs e1,e2,e3,e4,e5,e6,e7 and e8.

    Group them as follows

    Group G1 : e1,e2 and e3
    Group G2 : e4,e5 and e6
    Group G3 : e7 and e8

    Put G1 at one end of balance scale and G2 at the other,

    There are only two possible cases

    Case 1: The balace scale is perfectly balanced.

    then it must be either e7 or e8 which is lighter

    now put e7 at one and and e8 at another end. Of course you can identify the lighter egg.

    Case 2: Either group G1 or G2 lesser than the other one.

    take the lesser Group now, let us say G1 is a lesser group.

    now put e1 at one end and e2 at the other end.

    if the balace scale is balaced perfectly then e3 is a lighter egg
    else lesser among e1 or e2 is a lighter egg.

    In both the cases we use the balace exactly twice.

    I hope this helps you
    -- James


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