Analytical Reasoning MCQ Set 20

Correct Answer: E

Explanation:

Draw a table of possible combinations.

For Statements 2 and 3, we find that Ali must be in second slot and that Haroon must be in the third slot because Haroon cannot be in the end apartment. There are , then, two possible apartment position combinations:

Now, since Mustafa owns the white car and Afzal owns the black car, we find the possible apartment position and car color combinations to be the following:

Now we can proceed to answer the questions with reference to the table above

The table indicates that the end apartment owners have only white and black cars. Therefore, Choice E cannot possibly to true. Since the question asks which choice cannot possibly be true, Choice E is the correct choice. All the other choices may be true.

Correct Answer: A

Explanation:

Draw a table of possible combinations.

For Statements 2 and 3, we find that Ali must be in second slot and that Haroon must be in the third slot because Haroon cannot be in the end apartment. There are , then, two possible apartment position combinations:

Now, since Mustafa owns the white car and Afzal owns the black car, we find the possible apartment position and car color combinations to be the following:

Now we can proceed to answer the questions with reference to the table above

The table shows that, if A owns the orange car, the B must own the maroon car. So Choice A is correct

Correct Answer: C

Explanation:

Draw a table of possible combinations.

For Statements 2 and 3, we find that Ali must be in second slot and that Haroon must be in the third slot because Haroon cannot be in the end apartment. There are , then, two possible apartment position combinations:

Now, since Mustafa owns the white car and Afzal owns the black car, we find the possible apartment position and car color combinations to be the following:

Now we can proceed to answer the questions with reference to the table above

The table indicates that there may be one apartment between Afzal and Haroon or that they may live next to each other. So Choice C is correct since it is not necessarily true. The other four choices are always true according to the table

Correct Answer: B

Explanation:

A schedule of film showings can be constructed from the information given in the first nine statements. Statement 2 establishes the days on which film A is shown. Statement 4 establishes the days on which film E is shown. Statement 5 establishes the days on which film C is shown. We can use this information to construct the following schedule, in which an X indicates a day on which a film is shown.

Next we must determine the days on which film D and B are shown

Statement 3 notes that film D is shown on either Monday or Friday. Statement 9 notes that film D is shown on a day on which film A is not shown. Film A is not shown on Friday and Saturday, as specified in statement 2. Thus, film D must be shown on Friday.

Statement 6 notes that film B is shown on three days in succession between Monday and Friday. Statement 9 notes that Film B is shown on a day on which Film A is not shown. Since Film A is not shown on Friday, then film B must be shown on Friday. Further, since it is shown three days in succession, it must be shown on Wednesday, Thursday, and Friday.

now the schedule of film showings can be completed:

Let us now proceed to the explanatory answers by referring to the table above

It can be seen from the schedule above that only the second part of Film E will be shown on Saturday.

Correct Answer: D

Explanation:

A schedule of film showings can be constructed from the information given in the first nine statements. Statement 2 establishes the days on which film A is shown. Statement 4 establishes the days on which film E is shown. Statement 5 establishes the days on which film C is shown. We can use this information to construct the following schedule, in which an X indicates a day on which a film is shown.

Next we must determine the days on which film D and B are shown

Statement 3 notes that film D is shown on either Monday or Friday. Statement 9 notes that film D is shown on a day on which film A is not shown. Film A is not shown on Friday and Saturday, as specified in statement 2. Thus, film D must be shown on Friday.

Statement 6 notes that film B is shown on three days in succession between Monday and Friday. Statement 9 notes that Film B is shown on a day on which Film A is not shown. Since Film A is not shown on Friday, then film B must be shown on Friday. Further, since it is shown three days in succession, it must be shown on Wednesday, Thursday, and Friday.

now the schedule of film showings can be completed:

Let us now proceed to the explanatory answers by referring to the table above

It can be seen from the schedule above that maximum of five films may be viewed on either Wednesday or Friday

Correct Answer: D

Explanation:

A schedule of film showings can be constructed from the information given in the first nine statements. Statement 2 establishes the days on which film A is shown. Statement 4 establishes the days on which film E is shown. Statement 5 establishes the days on which film C is shown. We can use this information to construct the following schedule, in which an X indicates a day on which a film is shown.

Next we must determine the days on which film D and B are shown

Statement 3 notes that film D is shown on either Monday or Friday. Statement 9 notes that film D is shown on a day on which film A is not shown. Film A is not shown on Friday and Saturday, as specified in statement 2. Thus, film D must be shown on Friday.

Statement 6 notes that film B is shown on three days in succession between Monday and Friday. Statement 9 notes that Film B is shown on a day on which Film A is not shown. Since Film A is not shown on Friday, then film B must be shown on Friday. Further, since it is shown three days in succession, it must be shown on Wednesday, Thursday, and Friday.

now the schedule of film showings can be completed:

Let us now proceed to the explanatory answers by referring to the table above

Statement 8 indicates the manner in which Film E must be viewed; the two parts must be viewed in order and on separate days, though not necessarily on consecutive days. Statement 10 further eliminates Thursday as a day on which the film can be viewed. It can be seen from the schedule above that the two parts may be viewed a maximum of ten times—Monday-Tuesday; Monday-Wednesday; Monday-Friday; Monday-Saturday; Tuesday-Wednesday; Tuesday-Friday; Tuesday-Saturday; Wednesday-Friday; Wednesday-Saturday; and Friday-Saturday.