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# Logical Thinking Questions - All Grades

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Which of the following is the biconditional statement for the conditional statement below?

If today is Saturday or Sunday, then it is the weekend.
1. It is the weekend if and only if it is Saturday or Sunday.
2. If is not the weekend, then it not Saturday or Sunday.
3. If it is not Saturday or Sunday, then it is not the weekend.
4. It is not Saturday or Sunday if and only if it is the weekend.
Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its converse?
1. If you grow, then you will eat all of your vegetables.
2. If you do not eat all of your vegetables, then you will not grow.
3. If you do not grow, then you will not eat all of your vegetables.
On Wednesdays we wear pink.
It is Wednesday.
Therefore
1. we are wearing pink.
2. we are not wearing pink.
3. we don't have to wear pink.
4. there is not enough information given.
Give the contrapositive to the following statement: If I read a lot of books, I will get smarter.
1. If I get smarter, I read a lot of books.
2. If I read a lot of books, I won't get smarter.
3. If I don't get smarter, then I don't read a lot of books.
4. If I don't read a lot of books, I will get smarter.
Which of the following represents the biconditional?
1. $p larr q$
2. $p harr q$
3. $p rarr q$
4. $p rarr ~q$
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