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 19-22
Seven children—Frank, Joan, Kate, Manuel, Rose, Sam, and Theresa—are eligible to enter a spelling contest. From these seven, two teams must be formed, a red team and a green team, each team consisting of exactly three of the children. No child can be selected for more than one team. Team selection is subject to the following restrictions:
If Manuel is on the red team, Kate must be selected for the green team.
If Frank is on the red team, Rose, if selected, must be on the green team.
Rose cannot be on the same team as Sam.
Joan cannot be on the same team as Kate.
19) Which of the following can be the three members of the red team?
(A) Frank, Joan, and Kate
(B) Frank, Rose, and Theresa
(C) Joan, Kate, and Theresa
(D) Kate, Manuel, and Rose
(E) Manuel, Rose, and Theresa
20) If Manuel and Frank are both on the red team, the green team can consist of which of the following?
(A) Joan, Kate, and Rose
(B) Joan, Sam, and Theresa
(C) Kate, Rose, and Sam
(D) Kate, Rose, and Theresa
(E) Rose, Sam, and Theresa
21) If Manuel is on the red team, which of the following, if selected, must also be on the red team?
(A) Frank
(B) Joan
(C) Rose
(D) Sam
(E) Theresa
22) If Frank is selected for the red team and Theresa is not selected for either team, then which of the following CANNOT be a member of the green team?
(A) Joan
(B) Kate
(C) Manuel
(D) Rose
(E) Sam
Detailed Explanation (in Bangla)
Answer Keys
Questions | 19 | 20 | 21 | 22 |
|---|---|---|---|---|
Answers | E | D | B | E |