Rita, George, Rachel and Bob each have a different colored bike. The bikes are red, blue, green and black. No one has a bike in a color that begins with the first letter of their name. Bob's bike is not red and Rita's is not blue. What color is Rachel's bike?GreenBlackRedBlue
Question
Rita, George, Rachel and Bob each have a different colored bike. The bikes are red, blue, green and black. No one has a bike in a color that begins with the first letter of their name. Bob's bike is not red and Rita's is not blue. What color is Rachel's bike?GreenBlackRedBlue
Solution
Let's solve this step by step:
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No one has a bike in a color that begins with the first letter of their name. So, Rita can't have the Red bike, George can't have the Green bike, Rachel can't have the Red bike, and Bob can't have the Blue bike.
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Bob's bike is not red. So, Bob must have the Black bike (since he can't have the Blue bike based on the first rule).
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Rita's bike is not blue. So, Rita must have the Green bike (since she can't have the Red bike based on the first rule).
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Now, we know that the Red and Blue bikes are left for George and Rachel. Since George can't have the Green bike, he must have the Blue bike.
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Therefore, Rachel must have the Red bike.
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