Practice Test


1) Which of the following is a statement ?


2) Which of the following is not a statement ?


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


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


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


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


7) Which of the following is not a proposition ?


8) Which of the following is an open statement


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


10) 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


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


12) The false statement in the following is


13) 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


14) 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


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


16) Which of the following is true for the statement p and q ?


17) Which of the following is true ?


18) Which of the following is always true?


19) A proposition is called a tautology, if it is


20) The false statement in the following is


21) Which of the following sentences is statements?


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


23) Some triangles are not isosceles. Identify the Venn diagram


24) Which of the following is contingency?


25) Negation of "Pairs is in France and Londan is in England" is


26) the contrapositive of "If two triangles are identical, then these are similar" is


27) Which of the following statement is a tautology


28) Which of the following pairs are logically equivalent?


29) Which of the following is a contradiction?


30) Which of the following propositions is a tautology?


31) Identify the false statement


32) Which of the following statements is a tautology?


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


34) Which of the following statement has the truth value 'F'?


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


36) All teachers are scholar, Identify the Venn diagram


37) the negation of the statement "he is rich and happy" is given by


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


39) Which of the following is not a proposition?


40) Which of the following propositions is a tautology?


41) Which of the following is a proposition?


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


43) Which is not a statement?


44) The false statement in the following is


45) Which of the following is a contradiction?


46) Some triangles are not isosceles. Identify the Venn diagram


47) Which of the following sentences is a statements?


48) Which of the following is a tautology?