Practice Test

Q1) Which of the following is a statement ? Show Answer

Q2) Which of the following is not a statement ? Show Answer

Q3) The negation of the statement
"72 is divisible by 2 and 3 " is Show Answer

Q4) The contrapositive of the statement
"If 7 is greater than 5, then 8 is greater then 6" is Show Answer

Q5) The conditional statement of "You will get a sweet dish after the dinner " is Show Answer

Q6) Which of the following is not logically equivalent to the following proposition?
" A real number is either rational or irrational " Show Answer

Q7) Which of the following is not a proposition ? Show Answer

Q8) Which of the following is an open statement Show Answer

Q9) The negation of the "statement , if a quadrilateral is a square, then it is a rhombus " is Show Answer

Q10) If p : A man is happy.
q : A man is rich.
Then, the statement ,"If a man is not happy, then he is not rich " is written as Show Answer

Q11) Which of the following is the inverse of the proposition "If a number is a prime, then t is odd ." Show Answer

Q12) The false statement in the following is Show Answer

Q13) For two statement p and q
p: A quadrilateral is a parallelogram,
q : The opposite sides are parallel
Then, the compound proposition , " A quadrilateral is a parallelogram if and only if the opposite sides are parallel" is represented by Show Answer

Q14) If p,q,r and s are four simple statements, such as
p : The school bus will come
q : I go to school
r : I shall meet my friend
s : I shall go out for a move
then the compound statement, " If the school bus does not come or I will not go to school, then I shall meet my friend and go out for a movie ." is represented by Show Answer

Q15) If p = He is intelligent
q = He is strong
Then, symbolic form of statement
"It is wrong that he is intelligent or strong," is Show Answer

Q16) Which of the following is true for the statement p and q ? Show Answer

Q17) Which of the following is true ? Show Answer

Q18) Which of the following is always true? Show Answer

Q19) A proposition is called a tautology, if it is Show Answer

Q20) The false statement in the following is Show Answer

Q21) Which of the following sentences is statements? Show Answer

Q22) The negation of the statement "If become a teacher , then I will open a school", is Show Answer

Q23) Some triangles are not isosceles. Identify the Venn diagram Show Answer

Q24) Which of the following is contingency? Show Answer

Q25) Negation of "Pairs is in France and Londan is in England" is Show Answer

Q26) the contrapositive of "If two triangles are identical, then these are similar" is Show Answer

Q27) Which of the following statement is a tautology Show Answer

Q28) Which of the following pairs are logically equivalent? Show Answer

Q29) Which of the following is a contradiction? Show Answer

Q30) Which of the following propositions is a tautology? Show Answer

Q31) Identify the false statement Show Answer

Q32) Which of the following statements is a tautology? Show Answer

Q33) Consider the proposition : “ If the pressure increases, the volume decreases:. The negation of this proposition is Show Answer

Q34) Which of the following statement has the truth value 'F'? Show Answer

Q35) The negative of the proposition : “If a number is divisible by 15, then it is divisible by 5 or 3” Show Answer

Q36) All teachers are scholar, Identify the Venn diagram Show Answer

Q37) the negation of the statement "he is rich and happy" is given by Show Answer

Q38) Negation of the conditional, "If it rains, I shall go to school" is Show Answer

Q39) Which of the following is not a proposition? Show Answer

Q40) Which of the following propositions is a tautology? Show Answer

Q41) Which of the following is a proposition? Show Answer

Q42) Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"? Show Answer

Q43) Which is not a statement? Show Answer

Q44) The false statement in the following is Show Answer

Q45) Which of the following is a contradiction? Show Answer

Q46) Some triangles are not isosceles. Identify the Venn diagram Show Answer

Q47) Which of the following sentences is a statements? Show Answer

Q48) Which of the following is a tautology? Show Answer