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DILR Test 2
Q.1. Direction for Q1-5: The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students- A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department. Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminar can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots. The following additional facts are also known. 1) Seminars by students from Economics are scheduled in each of the four slots. 2) A’s is the only seminar that is scheduled at 10:00 am. A is guided by R. 3) F is an Anthropology student whose seminar is scheduled at 10:30 am. 4) The seminar of a Sociology student is scheduled at 9:00 am. 5) B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot. 6) P, who is guiding both B and C, has students scheduled in the first two slots. 7) A and G are scheduled in two consecutive slots. Which one of the following statements is true?
Q.2. Which of the following statements is necessarily true?
Q.3. If D is scheduled in a slot later than Q's, then which of the following two statement(s) is(are) true? (i) E and H are guided by T. (ii) G is guided by Q.
Q.4. If E and Q are both scheduled in the same slot, then which of the following statements BEST describes the relationship between D, H, and T?
Q.5. If D is scheduled in the slot immediately before Q’s, then which of the following is NOT necessarily true?
Q.6. Direction for 6-9: You are given an n×n square matrix to be? Filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically, or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the? The first or last row or column that is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. What is the minimum number of different numerals needed to ?ll a 3×3 square matrix?
Q.7. What is the minimum number of different numerals needed to ?ll a 5×5 square matrix?
Q.8. Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to ?ll a 5×5 matrix?
Q.9. Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
Q.10. Automation, however essential it may be to maximise a country's economic production and minimise its costs, should be rejected. The health care industry wants to increase revenues while reducing costs. Hence, it proposes greater automation of health care. This radical automation of health care would cause patients to lose trust in the system as the health care they would receive would lack the personal touch that, according to several studies, patients desire. Which of the following expresses the main point of the argument?