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.

A professional violinist has agreed to give lessons to seven talented violin students—Fiona, Gerhard, Hugh, Isabel, Julia, Kent, and Leon—and for this purpose has set aside an hour each weekday, Monday through Friday. The week’s schedule of lessons must meet the following conditions:

Each student must be scheduled for exactly one of the five days.

Exactly two of the lessons must each be for two students, but those two joint lessons cannot be on consecutive days.

Fiona’s lesson must be on a day earlier in the week than Gerhard’s lesson.

Hugh must be scheduled to be given his lesson by himself.

Isabel’s lesson must be on the day immediately before the day of Julia’s lesson.

15) Which of the following is an acceptable weekly schedule of lessons?

Monday

Tuesday

Wednesday

Thursday

Friday

(A)

Fiona

Julia, Kent

Isabel, Leon

Hugh

Gerhard

(B)

Hugh

Fiona, Gerhard

Isabel

Julia, Kent

Leon

(C)

Isabel

Julia

Fiona, Hugh

Gerhard

Kent, Leon

(D)

Kent, Leon

Hugh

Isabel

Fiona, Julia

Gerhard

(E)

Leon

Julia, Kent

Hugh

Fiona, Isabel

Gerhard

16) If Hugh’s lesson is scheduled for Wednesday, Isabel’s lesson must be scheduled for either

(A) Monday or Tuesday

(B) Monday or Thursday

(C) Monday or Friday

(D) Tuesday or Thursday

(E) Tuesday or Friday

17) The latest day in the week on which Fiona and Isabel could be given a joint lesson is

(A) Monday

(B) Tuesday

(C) Wednesday

(D) Thursday

(E) Friday

18) If a joint lesson for Gerhard and Julia is scheduled earlier in the week than a joint lesson for Kent and Leon, for which day must Hugh’s lesson be scheduled?

(A) Monday

(B) Tuesday

(C) Wednesday

(D) Thursday

(E) Friday

19) If the two joint lessons are scheduled for as early in the week as possible, and Isabel’s and Julia’s lessons for as late in the week as possible, Leon could be given his lesson

(A) with Gerhard

(B) with Isabel

(C) with Julia

(D) with Kent

(E) by himself

Detailed Explanation (in Bangla)

Answer Keys

Questions

15

16

17

18

19

Answers

D

B

C

D

A

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