here are five students in a group: Roger, Martin, Peter, Gary and Katherine.1. Roger received a higher grade than Martin but not as high as Peter.2. Peter received a higher grade than Gary and Katherine.3. Gary received a lower grade than Martin.4. Gary did not receive the lowest grade.5. Roger received the second highest grade. If the first four statements are true, then the fifth statement is:Select an option Clear ResponseTrueFalseUncertain
Question
here are five students in a group: Roger, Martin, Peter, Gary and Katherine.1. Roger received a higher grade than Martin but not as high as Peter.2. Peter received a higher grade than Gary and Katherine.3. Gary received a lower grade than Martin.4. Gary did not receive the lowest grade.5. Roger received the second highest grade. If the first four statements are true, then the fifth statement is:Select an option Clear ResponseTrueFalseUncertain
Solution
The fifth statement is True.
Here's the step-by-step reasoning:
- From statement 1, we know that Peter > Roger > Martin.
- From statement 2, we know that Peter > Gary and Peter > Katherine. So, combining with the above, we have Peter > Roger > Martin and Peter > Gary, Katherine.
- From statement 3, we know that Martin > Gary. So, combining with the above, we have Peter > Roger > Martin > Gary and Peter > Katherine.
- From statement 4, we know that Gary did not receive the lowest grade. So, Katherine must have the lowest grade. Now we have Peter > Roger > Martin > Gary > Katherine.
- From the above, we can see that Roger indeed received the second highest grade. So, the fifth statement is True.
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