Read the following passage and solve the questions based on it.
In an. Engineering College, five students from five different cities were elected as Secretaries by the students to perform different student activities. Each student studies in a different branch of engineering. Additionally, the following information is provided:
(i) Abhishek does not stay in the Aravalli hostel where the student from Nagpur stays.
(ii) The student, whose name is not Abhishek and does not study in Metallurgy, stays in Satpura hostel. He is the only student among the five to stay at Satpura hostel
(iii) Hardeep neither belongs to Jodhpur, nor does he study Mechanical Engineering.
(iv) The student-in-charge of Cultural activity stays in the Aravalli hostel where Civil Engineering student does not stay.
(v) Sanjoy and thistudent, who studies Metallurgy, both stay in the same hostel.
(vi) The student who belongs to Allahabad does not stay with the student-in-charge of the Sports activity staying at Aravalli hostel.
(vii) Sanjoy is not the student-in-charge of the Cultural activity.
(viii) Ravi, the student-in-charge of Mess activity, stays at Satpura hostel.
(ix) The student from Patna and the student, who studies Mechanical Engineering, both stay at Aravalli hostel. They are the only two among the five students to stay at this hostel.
(x) The student, who stays at Satpura hostel, studies Computer Science.
(xi) Hemant, who does not belong to Kochi, studies Chemical Engineering. He is not the General Secretary of the Student Body.
(xii) Sanjoy does not belong to Allahabad.
(xiii) The student from Kochi and the student-in-charge of Placement activity, both stay at the Vindhya hostel.
Which of the following statements is correct?
I. Sanjay and Abhishek stay at the same hostel
II. The General Secretary of the Student Body studies Mechanical Engineering.
III. The student who belongs to Patna is studying Metallurgy.
IV. The student who belongs to Kochi is studying Computer Science.
From statement 2 and 9, we can infer that one student stay in Satpura hostel, 2 students stay in Aravalli hostel and the remaining two stay in Vindhya hostel.
In statement 4, it is given that the student-in-charge of Cultural activity stays in the Aravalli hostel and in statement 6, it is given that the student-in-charge of sports activity also stays in the Aravalli hostel.
In statement 8, it is given that Ravi, the student-in-charge of Mess activity, stays at Satpura hostel and studies computer science.
In statement 13, it is given that the student from Kochi and the student-in-charge of Placement activity, both stay at the Vindhya hostel.
In statament 11, it is given that Hemant, who does not belong to Kochi, studies Chemical Engineering. The only possible arrangement is Hemant is the student-in-charge of Placement activity.
From statements 1 and 9, we can infer that the students from Patna and Nagpur stay in Aravalli hostel. From statement 9, we can infer that the student from Nagpur studies Mechanical Engineering. The student studying Civil Engineering doesn't stay in Aravalli hostel. This implies he stays in Vindhya hostel and he is Abhishek. In statement 3, it is given that Hardeep neither belongs to Jodhpur, nor does he study Mechanical Engineering. In statement 7, it is given that Sanjoy is not the student-in-charge of the Cultural activity.
Final Table:
Only statement III is correct. The answer is option C.
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