Directions: Read the given information carefully and answer the following questions.
A college has nine professors R, S, T, U, V, W, X, Y, and Z and they are divided into three groups, Electrical engineering, Mechanical engineering, and Aeronautical engineering.
At least two and not more than four professors are on the same team. One member cannot be in more than one team. Z is on the Mechanical Engineering team. U and R are in the same team but not in the team of W. V and Y are not in the same team. S is in the group in which either W or U. U is neither with Z nor in the Aeronautical engineering team. T and Y belong to the same team but not to the team of Z and W. T does not belong to the Aeronautical team. V belongs to the same team as S.
Which of the team X belongs to?
- AOption (a)
Mechanical Engineering
- BOption (b)
Electrical Engineering
- COption (c)
Aeronautical Engineering
- DOption (d)
Either Mechanical Engineering or Electrical Engineering
- EOption (e)
Either Electrical Engineering or Aeronautical Engineering
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Correct answer
Mechanical Engineering
Why this answer is correct
1) Z is on the Mechanical Engineering team. U is neither with Z nor in the Aeronautical engineering team. U and R are in the same team but not in the team of W.
| Case 1 | Case 2 | |
|---|---|---|
| Team | Members | Members |
| Electrical | U, R | U, R |
| Mechanical | Z, W | Z |
| Aeronautical | W |
2) T and Y belong to the same team but not to the team of Z and W. T does not belong to the Aeronautical team.
| Case 1 | Case 2 | |
|---|---|---|
| Team | Members | Members |
| Electrical | U, R, T, Y | U, R, T, Y |
| Mechanical | Z, W | Z |
| Aeronautical | W |
3) S is in the group in which either W or U. The group to which U belongs already has four members. So, S belongs to the group of W.
| Case 1 | Case 2 | |
|---|---|---|
| Team | Members | Members |
| Electrical | U, R, T, Y | U, R, T, Y |
| Mechanical | Z, W, S | Z |
| Aeronautical | W, S |
4) V and Y are not in the same team. V belongs to the same team as S. In Case 1, V will belong to the Mechanical Team but then the condition that there are not less than two people in a team will be violated. The Aeronautical team would have one member. So, Case 1 is eliminated.
The final arrangement is:
| Team | Members |
|---|---|
| Electrical | U, R, T, Y |
| Mechanical | Z, X |
| Aeronautical | W, S, V |
Hence, X belongs to Mechanical Engineering.