Q3.Let p and q be two prepositions given by p : I play cricket during the holidays, q : I just sleep throughout the day then , the compound statement p ∧q is
Answer : Option DExplaination / Solution:
∧ is replaced by and in verbal form
Q5.Let p and q be two prepositions given by p : I take only bread and butter in breakfast. q : I do not take anything in breakfast. Then , the compound proposition “ I take only bread and butter in breakfast or I do not take anything “ is represented by
Answer : Option DExplaination / Solution:
and is replaced by ∧
or is replaced by ∨
Q7.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
Answer : Option AExplaination / Solution:
the statement before and is p .The statement after and is q.and is replaced by∧
Q8.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
Answer : Option BExplaination / Solution:
iff means a double implication statement so symbolic form has ↔
Q9.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
Answer : Option CExplaination / Solution:
If then means an implication statement .hence we rewrite as p→q