P, Q, R, S, T, W and Z are seven students studying in three different colleges A, B and C. There are three girls among them studying one each in each of these colleges. Two of them study mechanical engineering, two study medicine and one each study biotechnology, pharmacy and electrical engineering. R studies with only her best friend P who studies pharmacy in college B. No girl studies either biotechnology or electrical engineering. T studies mechanical engineering in college A and his brother W studies electrical engineering in college C. None of the two studying medicines in college B. S studies biotechnology along with T and Z.Which of the following pairs of students study medicine?
Question
P, Q, R, S, T, W and Z are seven students studying in three different colleges A, B and C. There are three girls among them studying one each in each of these colleges. Two of them study mechanical engineering, two study medicine and one each study biotechnology, pharmacy and electrical engineering. R studies with only her best friend P who studies pharmacy in college B. No girl studies either biotechnology or electrical engineering. T studies mechanical engineering in college A and his brother W studies electrical engineering in college C. None of the two studying medicines in college B. S studies biotechnology along with T and Z.Which of the following pairs of students study medicine?
Solution
The information given can be organized as follows:
- R and P are girls and best friends studying in college B. P studies pharmacy.
- T is a boy studying mechanical engineering in college A.
- W, T's brother, studies electrical engineering in college C.
- No girl studies either biotechnology or electrical engineering, so S, who studies biotechnology, and W, who studies electrical engineering, are boys.
- S studies biotechnology along with T and Z in college A. Since no girl studies biotechnology, Z is also a boy.
- Q is the only one left and must be a girl. Since each college has one girl, and colleges B and A already have their girls (R and Z respectively), Q must be in college C.
- The only courses left are medicine and mechanical engineering. Since it's stated that two students study medicine and two study mechanical engineering, and T is already known to study mechanical engineering, the other student studying mechanical engineering must be Q (since she can't study medicine as a girl).
- Therefore, the only students left who can study medicine are Z and S, who are both boys.
So, the pair of students studying medicine are Z and S.
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