DILR Test 2 Practice

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?
A. Three seminars are scheduled in the last slot.
B. Only one seminar is scheduled in the second slot.
C. Two seminars are scheduled in the first slot.
D. Three seminars are scheduled in the first slot.

Detailed Analysis:

Given,

Students: A, B, C, D, E, F, G, H

Guides: P (2 students), Q (1 student), R (2 students), S (1 student), T (2 students)

Economics (4 students), Sociology (3 students), Anthropology (1 student)

Slots: 9:00, 9:30, 10:00, 10:30

From (1), one economics seminar is held in each of the four slots.

From (1) and (2), A is students of economics and is guided by R. Hence, R is from economics department (given, each student is guided by a guide belonging to their department).

The information from (1), (2), (3) and (4) can be tabulate as follows.

From (5), two sociology seminars and one economics seminar are held in the same slot. It cannot be 10:00 slot or 10:30 slot as at most three seminars can be conducted in one slot.

From (5) and (7), seminars of B, G and T are held in 9:30 slot.

From (6) and the given point that students who are guided by the same guide must be scheduled in consecutive slots, C is a sociology student and his/her seminar is held in 9:00 slot.

From the above we also know the following combination of guides, their subject and their students

We know that G is a sociology student and F is an anthropology student. Hence, the rest D, E and H are economics students. Thus, one among D, E and H (economics students) is guided by R and the remaining two are guided by T. Now, G and F are guided by Q and S in any order. We get the following combinations.

It is also given that students who are guided by the same guide must be scheduled in consecutive slots. Hence, 9:00 economics seminar is of T and 10:30 seminar is that of R.


Question 1:

From the above table, it is clear that the statement that two seminars are scheduled in the first slot is true

Q.2 Which of the following statements is necessarily true?
A. S is guiding F.
B. Q is guiding G.
C. B is scheduled in the first slot.
D. H is an Economics student.

Detailed Analysis:

Given,

Students: A, B, C, D, E, F, G, H

Guides: P (2 students), Q (1 student), R (2 students), S (1 student), T (2 students)

Economics (4 students), Sociology (3 students), Anthropology (1 student)

Slots: 9:00, 9:30, 10:00, 10:30

From (1), one economics seminar is held in each of the four slots.

From (1) and (2), A is students of economics and is guided by R. Hence, R is from economics department (given, each student is guided by a guide belonging to their department).

The information from (1), (2), (3) and (4) can be tabulate as follows.

From (5), two sociology seminars and one economics seminar are held in the same slot. It cannot be 10:00 slot or 10:30 slot as at most three seminars can be conducted in one slot.

From (5) and (7), seminars of B, G and T are held in 9:30 slot.

From (6) and the given point that students who are guided by the same guide must be scheduled in consecutive slots, C is a sociology student and his/her seminar is held in 9:00 slot.

From the above we also know the following combination of guides, their subject and their students

We know that G is a sociology student and F is an anthropology student. Hence, the rest D, E and H are economics students. Thus, one among D, E and H (economics students) is guided by R and the remaining two are guided by T. Now, G and F are guided by Q and S in any order. We get the following combinations.

It is also given that students who are guided by the same guide must be scheduled in consecutive slots. Hence, 9:00 economics seminar is of T and 10:30 seminar is that of R.

B is scheduled in the second slot. W e are not sure of who are guiding G and F. So, two other choice s are not necessarily true.

Option: 4

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.
A. Only (ii)
B. Neither (i) nor (ii)
C. Both (i) and (ii)
D. Only (i)

Detailed Analysis:

Given,


Students: A, B, C, D, E, F, G, H

Guides: P (2 students), Q (1 student), R (2 students), S (1 student), T (2 students)

Economics (4 students), Sociology (3 students), Anthropology (1 student)

Slots: 9:00, 9:30, 10:00, 10:30

From (1), one economics seminar is held in each of the four slots.

From (1) and (2), A is students of economics and is guided by R. Hence, R is from economics department (given, each student is guided by a guide belonging to their department).

The information from (1), (2), (3) and (4) can be tabulate as follows.

From (5), two sociology seminars and one economics seminar are held in the same slot. It cannot be 10:00 slot or 10:30 slot as at most three seminars can be conducted in one slot.

From (5) and (7), seminars of B, G and T are held in 9:30 slot.

From (6) and the given point that students who are guided by the same guide must be scheduled in consecutive slots, C is a sociology student and his/her seminar is held in 9:00 slot.

From the above we also know the following combination of guides, their subject and their students

We know that G is a sociology student and F is an anthropology student. Hence, the rest D, E and H are economics students. Thus, one among D, E and H (economics students) is guided by R and the remaining two are guided by T. Now, G and F are guided by Q and S in any order. We get the following combinations.

It is also given that students who are guided by the same guide must be scheduled in consecutive slots. Hence, 9:00 economics seminar is of T and 10:30 seminar is that of R.

D‘s seminar is scheduled later than Q’s seminar, indicates that Q’s seminar cannot be in the last slot. It implies F is guided by S and G by Q. Hence, statement (ii) is true. Now that Q’s seminar is scheduled in the second slot, D’s seminar is scheduled in the lost slot. i.e D is guided by R. Hence, E and H are guided by T. Thus, statement (i ) is also true. Both (i) and (ii) are true.

Option: 3

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?
A. Both D and H are guided by T.
B. At least one of D and H is guided by T.
C. Exactly one of D and H is guided by T.
D. Neither D nor H is guided by T.

Detailed Analysis:

Given,

Students: A, B, C, D, E, F, G, H

Guides: P (2 students), Q (1 student), R (2 students), S (1 student), T (2 students)

Economics (4 students), Sociology (3 students), Anthropology (1 student)

Slots: 9:00, 9:30, 10:00, 10:30

From (1), one economics seminar is held in each of the four slots.

From (1) and (2), A is students of economics and is guided by R. Hence, R is from economics department (given, each student is guided by a guide belonging to their department).

The information from (1), (2), (3) and (4) can be tabulate as follows.

From (5), two sociology seminars and one economics seminar are held in the same slot. It cannot be 10:00 slot or 10:30 slot as at most three seminars can be conducted in one slot.

From (5) and (7), seminars of B, G and T are held in 9:30 slot.

From (6) and the given point that students who are guided by the same guide must be scheduled in consecutive slots, C is a sociology student and his/her seminar is held in 9:00 slot.

From the above we also know the following combination of guides, their subject and their students

We know that G is a sociology student and F is an anthropology student. Hence, the rest D, E and H are economics students. Thus, one among D, E and H (economics students) is guided by R and the remaining two are guided by T. Now, G and F are guided by Q and S in any order. We get the following combinations.

It is also given that students who are guided by the same guide must be scheduled in consecutive slots. Hence, 9:00 economics seminar is of T and 10:30 seminar is that of R.

Question 5:

If E and Q are scheduled in the same slot, it is possible both in the second slot and the last slot. If it is in the second slot, then E is guided by T and one among D and E is also guided by T. If it is in the last slot, then E is guided by R and both D and E are guided by T. Thus, at least one of D and H is guided by T.

Option: 2

Q.5 If D is scheduled in the slot immediately before Q’s, then which of the following is NOT necessarily true?
A. G is guided by Q.
B. E is guided by R.
C. D is guided by T.
D. F is guided by S.

Detailed Analysis:

Given,

Students: A, B, C, D, E, F, G, H

Guides: P (2 students), Q (1 student), R (2 students), S (1 student), T (2 students)

Economics (4 students), Sociology (3 students), Anthropology (1 student)

Slots: 9:00, 9:30, 10:00, 10:30

From (1), one economics seminar is held in each of the four slots.

From (1) and (2), A is students of economics and is guided by R. Hence, R is from economics department (given, each student is guided by a guide belonging to their department).

The information from (1), (2), (3) and (4) can be tabulate as follows.

From (5), two sociology seminars and one economics seminar are held in the same slot. It cannot be 10:00 slot or 10:30 slot as at most three seminars can be conducted in one slot.

From (5) and (7), seminars of B, G and T are held in 9:30 slot.

From (6) and the given point that students who are guided by the same guide must be scheduled in consecutive slots, C is a sociology student and his/her seminar is held in 9:00 slot.

From the above we also know the following combination of guides, their subject and their students

We know that G is a sociology student and F is an anthropology student. Hence, the rest D, E and H are economics students. Thus, one among D, E and H (economics students) is guided by R and the remaining two are guided by T. Now, G and F are guided by Q and S in any order. We get the following combinations.

It is also given that students who are guided by the same guide must be scheduled in consecutive slots. Hence, 9:00 economics seminar is of T and 10:30 seminar is that of R.

Question 6:

If D is scheduled in the slot immediately before Q’s, it is only possible with D is in the first slot and Q is in the second slot. It implies that D is guided by T, G is guided by Q and F is guided by S. One among E and H is guided by T and the other one b y R, in any order. Hence the statement that E is guided by R is NOT necessarily true.

Option: 2

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?
A. 3
B. 4
C. 5
D. 6

Detailed Analysis:

Given that the n × n square matrix is to be filled with numerals so that no two adjacent cells have the same numeral.

Also, two cells are called adjacent if they touch each other horizontally, vertically, or diagonally.

As per the given definition, in the following matrix, the following are the cases of adjacent cells.

As per the information, we have the following diagram for a 3 x 3 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans: 4

As per the information, we have the following diagram for a 5 x 5 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans: 4

Even if one mistake is allowed, then also there won’t be any change in the solution given above. Ans: 4

Given that all the cells adjacent to any particular cell must have different numerals, which is satisfied only

when there are at least 9 numerals. Ans: 9

Q.7 What is the minimum number of different numerals needed to ?ll a 5×5 square matrix?
A. 5
B. 7
C. 3
D. 4

Detailed Analysis:

Given that the n × n square matrix is to be filled with numerals so that no two adjacent cells have the same numeral.

Also, two cells are called adjacent if they touch each other horizontally, vertically, or diagonally.

As per the given definition, in the following matrix, the following are the cases of adjacent cells.

As per the information, we have the following diagram for a 3 x 3 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 7: 4

As per the information, we have the following diagram for a 5 x 5 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 8: 4

Even if one mistake is allowed, then also there won’t be any change in the solution given above. Ans 9: 4

Given that all the cells adjacent to any particular cell must have different numerals, which is satisfied only

when there are at least 9 numerals. Ans 10: 9

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?
A. 16
B. 4
C. 25
D. 9

Detailed Analysis:

Given that the n × n square matrix is to be filled with numerals so that no two adjacent cells have the same numeral.

Also, two cells are called adjacent if they touch each other horizontally, vertically, or diagonally.

As per the given definition, in the following matrix, the following are the cases of adjacent cells.

As per the information, we have the following diagram for a 3 x 3 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 7: 4

As per the information, we have the following diagram for a 5 x 5 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 8: 4

Even if one mistake is allowed, then also there won’t be any change in the solution given above. Ans 9: 4

Given that all the cells adjacent to any particular cell must have different numerals, which is satisfied only

when there are at least 9 numerals. Ans 10: 9

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?
A. 9
B. 16
C. 4
D. 25

Detailed Analysis:

Given that the n × n square matrix is to be filled with numerals so that no two adjacent cells have the same numeral.

Also, two cells are called adjacent if they touch each other horizontally, vertically, or diagonally.

As per the given definition, in the following matrix, the following are the cases of adjacent cells.

As per the information, we have the following diagram for a 3 x 3 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 7: 4

As per the information, we have the following diagram for a 5 x 5 matrix to have a minimum number of numerals.

So, we require 4 elements to have all different numerals. Ans 8: 4

Even if one mistake is allowed, then also there won’t be any change in the solution given above. Ans 9: 4

Given that all the cells adjacent to any particular cell must have different numerals, which is satisfied only

when there are at least 9 numerals. Ans 10: 9

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?
A. Due to economic forces, automation of health care is inevitable
B. Patients desire personalised care
C. Trends in the general economy do not apply to the health care industry.
D. The health care industry should not be heavily automated

Detailed Analysis:

Argument Construction: Though automation is essential for cost management, it should not be adopted in the healthcare industry as it will take away the human touch which, as per several studies, is strongly desired by many patients.

A. The author makes no statement about the surety of automation being adopted in healthcare. He/she merely highlights the disadvantages of such action. B. Though this is an inference that can be drawn from the passage, it is not the central idea being discussed.

C. This statement goes beyond the scope of the passage.

D. Correct. The author, while accepting the benefits of automation, is essentially highlighting the negative outcomes of automation in the health care industry in order to reinforce its undesirability. The correct answer is E.

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