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 Kari is offered a job, she will accept it" is:

The negation of the statement "All the employees will attend the picnic" is:

The statement logically equivalent to "It is not true that both Frank and Ralph are students" is:

The statement logically equivalent to "If Joe moves back east, then he will get homesick" is:

The statement logically equivalent to "If Mary has a son, then she is a mother" is:

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

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

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

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

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

i. Not all boys and girls are passing the class.

ii. Some boys or girls are not passing the class.

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 teach classes are dumb.

ii. All teachers teach classes.

Determine which conclusion can be logically deduced.

Read the requirements and each applicant's qualifications for obtaining a $25,000 loan, then identify which of the applicants would qualify for the loan.

To qualify for a loan of $25,000 an applicant must have a gross income of $15,000 if single ($18,000 combined income if married) and assets of at least $8,000.

Mr. Kerr is married with two children and makes $19,000 on his job. His wife does not work.

Mrs. Mulvey and her husband have assets of $12,000. One makes $17,000; the other makes $6,000.

Fred Stone is a bachelor and works at two jobs. He makes $13,000 on one job and $3,000 on the other; he also owns a $7,000 Porsche.

Select the conclusion which will make the following argument valid.

If you graduate, then you will get a good job. If you get a good job, then you will be ecstatic.

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

If you ask questions, you will learn a lot.

If you read often, you will learn a lot.

You read often and you do not ask questions. Therefore:

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

All beachcombers are swimmers. All swimmers wear swimsuits.

Sally is wearing a swimsuit. Therefore:

Therefore, all poodles have
legs.

Therefore, all poodles bark.

Therefore, all cats are animals.

The tiger is a cat.

Therefore, the tiger is an
animal

Therefore, Pam is a swimmer.

Therefore, Ann is a student

Therefore, Fred may be a carpenter.

Therefore, Ryan is going to
the fair.

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