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 Wrenches (Posted on 2004-07-02)
There are 4 wrenches just unpacked from a box. They all look the same. There might be one defective item which is either heavier or lighter. Fortunately there is a fifth one that is standard. If you can use a scale to weigh only 2 times, can you find out:
1. Is there a defective wrench?

2. If there is a defective item, is it heavier or lighter?

 Submitted by Brian Smith Rating: 2.8333 (6 votes) Solution: (Hide) Call the standard wrench S and the four other wrenched A, B, C, and D. Weigh AB vs CS Case 1: AB equals CS Weigh S vs D: If S equals D then none are defective. If S is heavier than D then D is defective and light. If S is lighter than D then D is defective and heavy. Case 2: AB is heavier than CS Weigh A vs B: If A is heavier than B then A is defective and heavy, If A is lighter than B then B is defective and heavy, If A equals B then C is defective and light. Case 3 AB is lighter than CS Weigh A vs B: If A is heavier than B then B is defective and light, If A is lighter than B then A is defective and light, If A equals B then C is defective and heavy.

 Subject Author Date Scale or balance john 2005-04-06 17:20:38 Cool Question Lozza 2004-09-13 04:06:32 Here is solution... Patricia Stamets 2004-07-04 22:59:23 re: Solution Shadow 2004-07-04 16:41:36 re: A shot Ady TZIDON 2004-07-03 02:13:26 A shot rohit 2004-07-03 00:30:20 re(3): Balanced solution Arunava Dutta 2004-07-02 11:00:30 re(2): Balanced solution Eric 2004-07-02 10:52:04 re(2): Balanced solution fwaff 2004-07-02 10:33:39 re: Balanced solution Arunava Dutta 2004-07-02 10:31:49 Balanced solution fwaff 2004-07-02 10:26:09 re: Solution - My solution Arunava Dutta 2004-07-02 10:23:33 Solution Eric 2004-07-02 09:17:57

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