Directions: Each question or group of questions is based on a passage, graph, table, or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.

Questions 11-15

A conference organizer must select exactly three discussants to respond to a paper to be presented by an invited speaker. The three discussants will be selected from seven volunteers, of whom four—Ito, Kemble, Lopez, and Miller—are known to be friendly to the speaker’s theoretical point of view. The other three—Shapiro, Thompson, and Ullman—are known to be hostile to the speaker’s theoretical point of view. In selecting the three discussants, the conference organizer must observe the following restrictions:

At least one friendly discussant and at least one hostile discussant must be among those selected.

If Ito is selected, Thompson cannot be selected.

If either Lopez or Miller is selected, the other must also be selected.

If either Kemble or Ullman is selected, the other must also be selected.

11) Which of the following could be the group of discussants selected?

(A) Ito, Lopez, and Miller

(B) Ito, Shapiro, and Thompson

(C) Kemble, Shapiro, and Ullman

(D) Lopez, Shapiro, and Thompson

(E) Miller, Thompson, and Ullman

12) If Ito is selected as a discussant, which of the following must also be among those selected?

(A) Lopez

(B) Miller

(C) Shapiro

(D) Thompson

(E) Ullman

13) Which of the following is a pair of volunteers that can be selected together as discussants?

(A) Ito and Lopez

(B) Ito and Shapiro

(C) Kemble and Lopez

(D) mILLER and Shapiro

(E) Miller and Ullman

14) The members of the group of discussants would be completely determined if which of the following additional restrictions had to be observed as well?

(A) Friendly discussants must be in the majority.

(B) Hostile discussants must be in the majority.

(C) Neither Ito nor Thompson can be selected.

(D) Neither Kemble nor Shapiro can be selected.

(E) Neither Lopez nor Thompson can be selected.

15) The group of discussants selected must include either

(A) Ito or Shapiro

(B) Kemble or Shapiro

(C) Kemble or Thompson

(D) Lopez or Miller

(E) Lopez or Ullman

Detailed Explanation (in Bangla)

Answer Keys

Questions

11

12

13

14

15

Answers

C

E

D

D

E

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