On-Line Practice Quiz

## CLAST Logical Reasoning Skills

Deduce facts of set inclusion or set non-inclusion from a diagram Identify negations of simple and compound statements Determine equivalence and nonequivalence of statements Draw logical conclusions from data Recognize invalid arguments with true conclusions Recognize valid reasoning patterns shown in everyday language Select applicable rules for transforming statements without affecting their meaning Draw logical conclusions when facts warrant them

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The negation of the statement "If Janet receives an invitation, she will accept it" is:

The negation of the statement "All the mothers are going to the banquet" is:

The statement logically equivalent to "It is not true that both Allen and Andrew are teachers" is:

The statement logically equivalent to "If Al fights with his brother, then he will get hurt" is:

The statement logically equivalent to "If Sue is in Dallas, then she is in Texas" is:

The statement NOT logically equivalent to "If the weather is cool, Wayne will go jogging" is:

Select the rule of logical equivalence that directly transforms (in one step) statement "i" into statement "ii."

i. If x^{2 } is even, then x is even.

ii. If x is not even, then x^{2} is not even.

Select the rule of logical equivalence that directly transforms (in one step) statement "i" into statement "ii."

i. Not all cats and dogs will be adopted.

ii. Some cat or dog will not be adopted.

Sets A, B, C, and U are related as shown in the diagram below.

What statement can be made regarding the relationship among the sets, assuming none of the regions is empty?

Given that :

i. No people who run for office are reliable.

ii. All politicians run for office.

Determine which conclusion can be logically deduced.

Read the requirements and each applicant's qualifications for obtaining a $20,000 loan, then identify which of the applicants would qualify for the loan.

To qualify for a loan of $20,000 an applicant must have a gross income of $14,000 if single ($17,000 combined income if married) and assets of at least $7,000.

Mr. Jones is married with two children and makes $12,000 on his job. His wife does not work.

Mrs. Via and her husband have assets of $8,000. One makes $12,000; the other makes $4,000.

John Dawson is a bachelor and works at two jobs. He makes $12,000 on one job and $4,000 on the other; he also owns a $8,000 Porsche.

Select the conclusion which will make the following argument valid.

If you work hard, then you will get a good job. If you get a good job, then you will be well paid.

Study the information given below. If a logical conclusion is given, select that conclusion.

If you study mathematics, you will be successful.

If you study English, you will be successful.

You study English and not Mathematics. Therefore:

Study the information given below. If a logical conclusion is given, select that conclusion.

All pilots are navigators. All navigators read maps.

Sally is reading a map. Therefore:

Therefore, all penguins have
feathers.

Therefore, all fleas are insects.

Therefore, all penguins have
legs.

The Bronx is a borough of
New York City.

Therefore, the Bronx is in
New York State.

Therefore, Fred may be a carpenter.

Therefore, Ann is a student

Therefore, Pam is a swimmer.

Therefore, Ryan is going to
the fair.

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