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.
Is it D?
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.
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?
Thanks everyone!
You're welcome.
To solve this problem, we need to carefully analyze each given statement.
Statement 1: All of the bikes in the shed are red.
This tells us that if it is a bike in the shed, it must be red.
Statement 2: Some of the bikes in the garage are blue.
This tells us that there are bikes in the garage that are blue, but it doesn't specify whether all of them are blue or if other bikes may be present.
Statement 3: All of the bikes locked to the post are green.
This tells us that if a bike is locked to the post, it must be green.
Statement 4: Mike's bike is red.
This specifies the color of Mike's bike, but does not provide any information regarding its location.
Statement 5: Lynn's bike is green.
This specifies the color of Lynn's bike, but does not provide any information regarding its location.
Based on these statements, let's evaluate each given option:
A) Mike's bike is in the shed.
There is no information provided in the statements that confirms this, so we cannot conclude that it must be true.
B) Lynn's bike is not in the garage.
There is no information provided in the statements that confirms this, so we cannot conclude that it must be true.
C) Mike's bike is not in the garage.
There is no information provided in the statements that confirms this, so we cannot conclude that it must be true.
D) Lynn's bike is locked to the post.
Statement 3 tells us that all bikes locked to the post are green, and Statement 5 tells us Lynn's bike is green. Therefore, we can conclude that Lynn's bike must be locked to the post. Thus, this statement MUST be true.
E) Lynn's bike is not in the shed.
There is no information provided in the statements that confirms this, so we cannot conclude that it must be true.
Therefore, the correct answer is option D) Lynn's bike is locked to the post.