Mathematical Reasoning Test - 1

Let p and q be two propositions. Then, the contrapositive of the implication p→q is

Which of the following is logically equivalent to (p∧q) ?

If the inverse of implication p→q is defined as ∼p→∼q , then the inverse of proposition (p∧∼q)→r is

Which of the following is true for the propositions p and q ?

Let p and q be two prepositions given by p : I have the raincoat, q : I can walk in rain. The compound proposition “ If I have the raincoat , then I can walk in the rain “ is represented by

Let p and q be two prepositions given by p : A parallelogram is a rhombus. q : The diagonals are at right angles. The compound proposition “ A parallelogram is a rhombus iff its diagonals are at right angles “ is represented by

Let p and q be two prepositions given by p : To become an airforce officer one should be graduate. q : To become an airforce officer one should have good health. The compound proposition “ To become an airforce officer one should be a graduate and should have good health “ is represented by

Let p and q be two prepositions given by p : I take medicine, q : I can sleep then ,the compound statement ∼p→q qmeans

Which of the following is a preposition?