Practice Test

Q1) Write the negations of the following:
i. I like Mathematics or English.
ii. If a quadrilateral is a rectangle then it is a parallelogram.
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Q2) Rewrite the statement: ' The demand falls if and only if the price increases' A, by removing the connective ' if and only if and using the connectives 'not' , and, 'or'. Show Answer

Q3) Write the following statement in the symbolic form and state its truth value.
It is false, that if a quadrilateral is a rhombus then it is a parallelogram.
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Q4) Write the negations of the following statements without using the phrase ' It is false that' or ' It is not true that'
a) Some teachers are sincere.
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Q5) Write the duals of the following statements:
The film receives an award for its story or for its direction.

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Q6) State giving reason, which of the following statements has the same meaning.
a) If monsoon is good then farmers are happy.
b) If farmers are happy then monsoon is good.
c) If monsoon is not good then farmers are not happy.
d) If farmers are not happy then the monsoon is not good.
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Q7) Draw Venn diagrams to represent the truth of the following statements.
No teacher is rich.
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Q8) State whether the following sentences are statements in logic. If so write the truth value.
Two parallel lines intersect each other Show Answer

Q9) Write the following statements in symbolic form.
Amitabh is tall but not handsome. Show Answer

Q10) write the negation of
All men are animals
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Q11) write the negation of
All men take water and meal Show Answer

Q12) Write down the truth values of the statements
2 is a prime number

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Q13) Write down the truth values of the statements
Two parallel lines meet at a point
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Q14) Write the contra positive of statement- ' If it rains heavily then the trains stop working'. Show Answer

Q15) Write the negations of the following statements without using the phrase ' It is false that' or ' It is not true that' :
All politicians are honest.
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Q16) Write the truth values of the following:
If Pune is in Himachal Pradesh then 5 + 3 = 15.

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Q17) Write the truth values of the following:
2< -3 if and only if 4 + 5 = 9.
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Q18) Express the following in symbolic form.
Hari is either intelligent or hard working.
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Q19) Write the converse of the following:
' If the weather is humid, then it will rain' Show Answer

Q20) Draw Venn diagram for the following:
No poet is intelligent. Show Answer

Q21) Four is an even number. Show Answer

Q22) Twenty three is a perfect square Show Answer

Q23) Thirteen is a prime number Show Answer

Q24) The sum of cube roots of unity is one Show Answer

Q25) London is the capital city of United States of America Show Answer

Q26) Today is Monday Show Answer

Q27) X < 7. Show Answer

Q28) Why are you jumping? Show Answer

Q29) Zero is a complex number Show Answer

Q30) All integers are natural number Show Answer

Q31) Where is your son? Show Answer

Q32) He is honest Show Answer

Q33) The sky is green Show Answer

Q34) Please go out Show Answer

Q35) Close the door Show Answer

Q36) The square of any real number is positive. Show Answer

Q37) It is black in colour. Show Answer

Q38) ABCD is a quadrilatreal. Show Answer

Q39) Jagannath puri is in Orrisa Show Answer

Q40) All prime number are odd number. Show Answer

Q41) Write dual form of:- Hitendra is healthy and Gajashree is beautiful Show Answer

Q42) Write dual form of:- Mark is a doctor or Erick is a teacher. Show Answer

Q43) Write dual form of:-He has blond hair and blue eyes. Show Answer

Q44) Write dual form of:- Prashant and Dhanashree can not read urdu Show Answer

Q45) Write the negation of:- Hema Malini is the best dancer. Show Answer

Q46) Write the negation of:- Some teachers are sincere Show Answer

Q47) Write the negation of:- x+3<5 or Y+5=9 Show Answer

Q48) Write dual form of:- Either I will be busy or I will help you Show Answer

Q49) why are you laughing? Show Answer

Q50) With Sun set the day ends Show Answer

Q51) Give me a compass box Show Answer

Q52) The number 2 is the only even prime number. Show Answer

Q53) Himalaya is a river Show Answer

Q54) Bring a motor car here. Show Answer

Q55) All integers are natural numbers. Show Answer

Q56) The square of any odd number is even Show Answer

Q57) It may rain today Show Answer

Q58) How beautiful the flower is! Show Answer

Q59) The Two co-planer Lines are either parallel or intersecting. Show Answer

Q60) 5+6<13 Show Answer

Q61) The number of arrangements of 7 girls for a photograph is 7! Show Answer

Q62) Chetan is brilliant and brave. Show Answer

Q63) 'O' is vowel or 5+2=12 Show Answer

Q64) If karim likes oranges then he dislikes Mangoes Show Answer

Q65) It is cold today or there are 5 persons in the room. Show Answer

Q66) The number 7 is greater than the number 4 and the number 5 is less than the number 10 Show Answer

Q67) If you drive the car then I will walk Show Answer

Q68) I can brave is necessary and sufficient condition to climb the Mount Everest Show Answer

Q69) Symbolic form of:- If karim likes oranges then he dislikes mangoes. Show Answer

Q70) Symbolic form of:- It is cold today or there are 5 persons in the room. Show Answer

Q71) Symbolic form of:- The number 7 is greater than the number 4 and the number 5 is less than the number 10 Show Answer

Q72) Symbolic form of:- If you drive the car then i will walk. Show Answer

Q73) Symbolic form of:- I can brave is necessary and sufficient condition to climb the Mount Everest. Show Answer

Q74) Symbolic form of:- The question paper is effective but it is difficult. Show Answer

Q75) Symbolic form of:- If a function is continuous then it has minimum and maximum value. Show Answer

Q76) Symbolic form of:- It is raining or humid . Show Answer

Q77) Symbolic form of:- If it is raining then it is humid. Show Answer

Q78) Symbolic form of:- It is not true that it is not raining or it is not humid. Show Answer

Q79) Symbolic form of:- It is raining if and only if it is humid. Show Answer

Q80) Symbolic form of:- It is raining but not humid. Show Answer

Q81) Determine the truth value of:- Surat is in gujrat or 3+7=10 Show Answer

Q82) Determine the truth value of:- 27+3=9 and 15-12=3 Show Answer

Q83) Determine the truth value of:- If 2>1 then lion sings. Show Answer

Q84) Which of the following is a statement? Show Answer

Q85) Which of the following is not a statement? Show Answer

Q86) Which of the following is not a statement? Show Answer

Q87) Negation of “Paris is in France and London is in England” is Show Answer

Q88) Which Venn diagram represent the truth of the statements “No child is naughty”?
Where U= Universal set of human beings
C= Set of children
N= Set of naughty persons


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Q89) Which Venn diagram represent the truth of the statement
“Some teenagers are not dreamers”?
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Q90) Disjunction in logic is equivalent to the _____ of sets in set theory. Show Answer

Q91) Which of the following Venn diagram corresponds to the statement
“All mothers are women”?
(M is set of all mothers, W is the set of all women)

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Q92) Which of the following Venn diagram represent the truth of the statement
“All smokers are drinkers and all drinkers are smokers”?
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Q93) Which of the following is a contradiction Show Answer

Q94) If p: It rains today, q: I go to school,
r: I shall meet any friends and s: I shall go for a movie, then which of the following is the proposition:
If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
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Q95) If p: The sun has set
q: The moon has risen,
then the statement ‘The sun has not set or the moon has not risen’ in symbolic form is written as
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Q96) Using the statements
p: Kiran passed the examination,
s: Kiran is sad.
The statement ‘It is not true that Kiran passes therefore he is sad’ in symbolic form is
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Q97) The false statement in the following is Show Answer

Q98) Which of the following is a statement in logic? Show Answer

Q99) Which of the following is not a statement? Show Answer

Q100) Which of the following statement is true? Show Answer

Q101) A biconditional statement is the conjunction of two ________ statements. Show Answer

Q102) The words which combine two simple statements are called Show Answer

Q103) If p : Ram is tall and q : Ram is handsome, then the symbolic form of ‘Ram is handsome but not tall’ is Show Answer

Q104) If p : Rohit is tall and q : Rohit is handsome, then the symbolic form of ‘It is not true that Rohit is short or not handsome’ is Show Answer

Q105) If p : 4 is an even prime number
q : 6 is divisor of 12
And r : HCF of 4 and 6 is 2,
then which of the following is true?
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Q106) Which of the following is true? Show Answer

Q107) The negation of disjunction of two statements is logically equivalent to the conjunction of their Show Answer

Q108) If p : It is an Amir Khan movie.
q : It is hit.
Then the symbolic form of the negation of the statement ‘It is an Amir Khan movie but not a hit’ is
Show Answer

Q109) Mathematical identities are statements. Show Answer

Q110) The truth value of : ‘If Rome is not in Italy, then Paris is in France is T. Show Answer

Q111) If a statement pattern involves 4 component statement p, q, r, s and each of p, q, r, s has 2 possible truth values namely T and F, then the truth table of the statement pattern consists of 16 rows. Show Answer

Q112) The symbol ~ is not changed while finding the dual. Show Answer

Q113) ‘It is false that 27 is not divisible by 9’ is a false statement. Show Answer

Q114) The statement ‘The centre of a circle biset each chord of the circle’ is a true statement. Show Answer

Q115) Implication of two statements in logic is equivalent to _______ in set theory. Show Answer

Q116) From the following sentences, statement in logic is _____. Show Answer

Q117) From the following, a logical statement is ____. Show Answer

Q118) From the following, an open statement is _____. Show Answer

Q119) The truth value of the statement, The cube of an even natural number is even’ is _____. Show Answer

Q120) Negation of the statement, ‘It is not true that the mangoes are inexpensive’ is _____. Show Answer

Q121) If p and q true and r is false, then from the following true statement is _____. Show Answer

Q122) The converse of the statement, ‘If a sequence is bounded, then it is not convergent’ is _____. Show Answer

Q123) The correct negation of the statement ‘Coronavirus infects the lungs’, is ____. Show Answer

Q124) The negation of ‘Every student wins prize’ is _____. Show Answer

Q125) From the following the tautology statement is _____. Show Answer

Q126) Let p: Jagdish stays at home.
q: Shrijeet and Shalmali go for a movie.
Then the compound statement, ‘Jagdish stays at home while Shrijeet and Shalmali go for a movie’, is _____.
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Q127) Negation of the statement ‘All equilateral triangles are isosceles’, is _____. Show Answer

Q128) The inverse of the statement, ‘If a sequence is bounded, then it is convergent’ is _____. Show Answer

Q129) Dual of the statement, ‘Madhuri hair curly hair and brown eyes’, is _____. Show Answer

Q130) Let p: It is cloudy
q: It is still raining
Then the compound statement, ‘Even though it is not cloudy, it is still raining’, is _____.
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Q131) The negation of the statement: ‘All natural numbers are real number’ is _____. Show Answer

Q132) The negation of the statement:
‘Some quadratic equation have unequal root’ is ____.
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Q133) From of the following is not a statement ? Show Answer

Q134) From of the following is an open statement is _____. Show Answer

Q135) The false statement in the following is _____. Show Answer

Q136) The negation of the proposition “If 2 is prime, then 3 is odd”, is _____. Show Answer

Q137) From of the following, is always not true statement is Show Answer

Q138) If p is a sentence ‘This statement is false’ then Show Answer

Q139) Negation of the statement “This is false or That is true” is Show Answer

Q140) There are 24 months in year is a statement. Show Answer

Q141) Dual of “John and Ayub went to the forest” is “John or Ayub went to the forest”. Show Answer

Q142) “His birthday is on 29th February” is not a statement. Show Answer