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Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officer (president, VP, Secretary, Treasurer).
From the Following clues, determine which position each holds.
A. Ashley is younger than the president but older than the treasurer.
B. Brianna and the secretary are both same age, and they are the youngest member of the group.
C. Tyler and the secretary are next-door neighbors.
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1. First portion of logical arguments
From A), Ashley is not the president and is not the treasurer.
From A), Ashley is not the youngest of the group;
hence, from B), Ashley is not the secretary.
Thus the only one last opportunity for Ashley is to be the VP.
2. Second portion of logical arguments
From #1, Ashley is not the secretary (he/she is just the VP !);
From C), Tyler is not the secretary;
From B), Brianna is not the secretary.
It leaves only one (last) opportunity for the secretary: Ryan is the secretary.
3. Third portion of logical arguments
From #2, Ryan is not the president (he is just the secretary !);
From #1, Ashley is not the president (he/she is just the VP !);
From A), Brianna is not the president (since she is too young !);
It leaves only one (last) opportunity for the president: Tyler is the president.
4. The last portion of logical arguments
Brianna is the treasurer (last vacancy !).
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* * * Solved * * *
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One small secret about solving similar logical problems - as a conclusion.
It is useful to make a matrix of situations.
In this problem this matrix looks like this:
President VP Secretary Treasurer
B
R
T
A
Vertical input column (the most left) are the names of participants;
The most upper horizontal input line contains the names of positions.
Then you fill the cells of the matrix by the signs " + " or " - " according to your logical conclusions.
It helps you to document the process of your thinking when you solve the problem step by step.
It even helps you sometime to find your next step and/or to find the next set of logical arguments.
From the other side, such a matrix only HEPLS you; but it is not an engine.
The engine is your mind / (your brain).