81.State the converse and contrapositive of the following statement. p : A positive integer is prime only if it has no divisors other than 1 and itself.
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82.State the converse and contrapositive of the following statement. q : I go to a beach whenever it is a sunny day.
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83.State the converse and contrapositive of the following statement. r : If it is hot outside, then you feel thirsty.
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84.Rewrite the following statement in the form “p if and only if q”. p : If you watch television, then your mind is free and if your mind is free, then you watch the television.
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85.Rewrite the following statement in the form “p if and only if q”. q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
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86.Rewrite the following statement in the form “p if and only if q”. r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
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87.Write the following statement in five different ways, conveying same meaning. p : If a triangle is equiangular, then it is an obtuse angled triangle.
Write the component statements of it and use them to check whether the compound statement is true or not. t : You are wet when it rains or you are in a river.
Inclusive; p : You are wet, when it rains. q : You are wet, when you are in a river; TRUE.
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89.
Check the validity of the following statement. “Square of an integer is positive or negative”.
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90.
Show that the statement “The integer n is even if and only if n2 is even’ is true.
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