FREE Crossover Aptitude Logical Reasoning Question and Answers

Question 1

Assume that the first two claims are accurate. Based on the information given, is the final statement: 1) True, 2) False, or 3) Uncertain?

Robert is not as tall as Bobby.

Job is not as long as Bobby.

The shortest of the three is Job.

Accepted Answer

Uncertain

Answer

Explanation:
The right response is: Uncertain.

The first claim indicates that Bobby is taller than Robert, hence Bobby > Robbert.

The second claim indicates that Job is shorter than Bobby, i.e. Job Bobby.

The following alternative form of this sentence is also acceptable: Bobby is taller than Job, or Bobby > Job.

You can therefore conclude that Bob is taller than Robert, Job, and (Bobby is the tallest among the three). You don't have enough information, though, to say whether Robbert or Job is shorter.

Therefore, "Uncertain" is the appropriate response.

Question 2

Assume that the first two claims are accurate. Based on the information given, is the final statement: 1) True, 2) False, or 3) Uncertain?

At "Sacred Jar" high school, piercings and earrings are permitted, but only for pupils who are 17 years old or older, or for those who can provide a parent's written consent.

Mary is 17 years old, but she is not allowed to go without her parents' consent.

Mary is permitted to go to school with earrings and body piercings.

Accepted Answer

True

Answer

Explanation:
True is the correct response.

Earrings and body piercings are permitted at "Sacred Jar" high school for pupils who are either 17 years of age or older or for those who have a parent's written consent.

Simplify this complex statement:

If you are 17 years old or older, or if your parents have given you permission, you may wear earrings and have body piercings.

The word "OR" denotes that only one of the requirements—attending school while sporting piercings and earrings—must be met.

The second claim states that Mary is 17 years old but not with parental consent.

Mary thus satisfies one of the requirements (she is 17 years old). She is able to go to school while sporting earrings and body piercings.

Solving tip: When faced with a lengthy, complex statement, attempt to distill it down to its essentials and rephrase it in a clearer, more concise manner.

Question 3

There are seven different types of fruit in a restaurant's pantry: figs, guavas, honeydew melon, kiwis, mangos, nectarines, and papayas. To construct a fruit salad, the restaurant's chef must choose precisely four distinct types of fruit from the available seven. The chosen fruits must adhere to the requirements listed below:

Only if kiwi is selected is papaya available.
Only after choosing nectarine can you choose fig.
You can choose either nectarine or mango, but not both.
You can choose either papaya or honeydew, but not both.

Which of the following fruits must be included in the salad if there are no kiwis present?

Accepted Answer

Honeydrew

Answer

Explanation:
If the salad doesn't include Kiwi, it also can't have Papaya because you can only choose Papaya if you also choose Kiwi (~K → ~P).

Since just one of the two fruits—Papaya or Honeydew—can be chosen (P H), Honeydew must be used in the salad.

Note: If derivatives were correctly generated, then this problem can be rapidly and simply solved (derivative: ~K → H).

Question 4

Assume the first two statements are true:

All athletes are hard workers.

Amy is not an athlete.

Amy is not a hard worker.

Is the final statement:

Accepted Answer

Uncertain based on the information provided

Answer

Explanation:
All athletes are diligent workers, as you may infer from the first premise, but you have no knowledge of non-athletes.

You cannot draw any conclusions about Amy, who is not an athlete, based on the second sentence.

The conclusion is uncertain.

Question 5

FACTS: James will have to stay late at work if Peter is late to the meeting. If James does not arrive home from work on time, Betty will not prepare dinner for him. James will order pizza for dinner if Lois does not prepare it. Jame's meal was prepared by Betty.

CONCLUSION: Peter arrived at the conference late.

Accepted Answer

The facts prove the situation

Answer

Explanation:
The facts contradict the conclusion.

James won't be able to leave for work on time if Peter is late for the meeting since he will have to stay late at work. James will only have dinner prepared by Betty if he arrives home from work on time. Therefore, Peter could not have arrived late to the meeting if Betty cooked dinner for James.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

FREE Crossover Aptitude Logical Reasoning Question and Answers