Logical Reasoning

All of the bikes in the shed are red. Some of the bikes in the garage are blue. All of the bikes locked to the post are green. Mike's bike is red, and Lynn's bike is green.
Based only on the statements above, which of the following MUST be true?
A) Mike's bike is in the shed.
B) Lynn's bike is not in the garage.
C) Mike's bike is not in the garage.
D) Lynn's bike is locked to the post.
E) Lynn's bike is not in the shed.
They are all true, so I don't know.

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  1. Is it D?

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  2. A isn't right because it doesn't say that all red bikes are in the shed.
    B isn't right because it doesn't say where all the green bikes are.
    C isn't right -- same as above.
    D isn't right -- same as above.
    E is correct. All of the bikes in the shed are red, but Lynn's bike is green.

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    Ms. Sue
  3. D. It COULD be locked to the post but why couldn't it be in the garage also so I don't think D is correct?

    What about E? Since ALL of the bikes in the shed are red, (and Lynn's bike is green) aren't you quite certain it isn't in the shed?

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  4. Thanks everyone!

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  5. You're welcome.

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    Ms. Sue

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