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?A S, Z B Z, W C Z, Q D T, Q
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?A S, Z B Z, W C Z, Q D T, Q
Solution
The problem can be solved by elimination and logical deduction.
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R and P are in college B, studying pharmacy and another unknown course. Since no girl studies either biotechnology or electrical engineering, and we know that R is a girl, P must be a boy. Therefore, P cannot be studying mechanical engineering (since T and his brother W are the ones studying mechanical engineering). So, P must be studying medicine.
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T and S are in college A, studying mechanical engineering and biotechnology respectively. Since no girl studies either biotechnology or electrical engineering, S must be a boy.
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W is in college C, studying electrical engineering. Since T and W are the only ones studying mechanical engineering and electrical engineering, and we know that W is a boy, W cannot be studying medicine.
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Z is in college A with T and S, but we don't know what Z is studying yet. Since the girls are studying one each in each of these colleges, and we know that R is the girl in college B and no girl studies either biotechnology or electrical engineering, Z must be a girl. Therefore, Z must be studying medicine (since the only courses left for Z are medicine and mechanical engineering, and we know that Z cannot be studying mechanical engineering).
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Q is the only one left, and must therefore be in college C with W. Since the only courses left for Q are medicine and mechanical engineering, and we know that Q cannot be studying mechanical engineering, Q must be studying medicine.
So, the pair of students studying medicine are P and Z in college B and Q in college C. Therefore, the answer is not in the options given. The correct answer should be P, Z, Q.
Similar Questions
Direction: Study the following information carefully and answer these questions.P, Q, R, S, T, W and Z are seven students studying in three different institutes – A, B and C. There are three girls among the seven students who study in each of the three institutes. Two of the seven students study BCA, two study medicine and one each studies Aviation Technology, Journalism and MBA. R studies in the same college as P, who studies MBA in college B. No girl studies Journalism or MBA. T studies BCA in college A and his brother W studies Aviation Technology in college C. S studies Journalism in the same college as Q. Neither R nor Z studies BCA. The girl who studies BCA does not study in college C.Which of the following pairs of students study medicine?
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