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Question

Determine the contrapositive of each of the following statements :

(i) If Mohan is a poet, then he is poor.

(ii) Only if max studies will he pass the test.

(iii) If she works, she will earn money.

(iv) If it snows, then they do not drive the car.

(v) It never rains when it is cold.

(vi) If Ravish skis, then it snowed.

(vii) If x is less than zero, then x is not positive.

(viii) If he has courage he will win.

(ix) It is necessary to be strong in order to be a sailor.

(x) Only if he does not tire will ne win.

(xi) If x is an integer and x2 is odd, then x is odd.

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Solution

(i) If Mohan is not poor, then he is not a poet.

(ii) If Max does not study, then he will not pass the test.

(iii) If she does not earn money, then she does not work.

(iv) If then they do not drive the car, then there is no snow.

(v) If it rains , then it is not cold.

(vi) If it did not snow, then Ravish will not ski.

(vii) If x is positive, then x is not less than zero.

(viii) If he does not win, then he does not have courage.

(ix) If he is not strong, then he is not a sailor.

(x) If the tires, then he will not win.

(xi) If x is even , then x2 is even.


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