Unit 1 Mathematical Logic and Set Theory

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Each Question carries 1 Marks and Time is 20 sec/question

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Nilam Khairnar

India

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Froggy Jumps Unit 1 Mathematical Logic and Set TheoryVersión en línea Each Question carries 1 Marks and Time is 20 sec/question por Nilam Khairnar 1 Which of the following is a proposition? a x + 2 = 5 b Close the door. c 5 is a prime number. 2 Which logical connective corresponds to “either...or”? a Conjunction b Disjunction c Implication 3 In a Venn diagram, the shaded area representing A∩B corresponds to: a Elements in A or B b Elements only in A c Elements common to both A and B 4 The Principle of Inclusion-Exclusion is used to find: a The maximum of two sets b The cardinality of the union of overlapping sets c The total number of elements in a universal set 5 Which of the following logical expressions is a tautology? a p→¬p b p∧¬p c (p∨¬p) 6 If p→q is true and ¬q is true, what can be concluded? a p is true b q is false c p is false 7 Let A={1,2,3,4} and B={3,4,5,6} What is (A∪B)−(A∩B)? a {1,2,5,6} b {1,2} c {1,2,3,4,5,6} 8 Which of the following statements about power sets is TRUE? a Power set of a set with n elements has n raise to 2 subsets b Power set of a set with n elements has 2 raise to n subsets c Power set contains only non-empty subsets 9 Which of the following statements is logically equivalent to ¬(p∨q)? a ¬p∨¬q b p∧q c ¬p∧¬q 10 The expression (p→q)∧(q→r) logically implies which of the following? a p→r b r→p c p↔r

Froggy Jumps

Unit 1 Mathematical Logic and Set TheoryVersión en línea

Each Question carries 1 Marks and Time is 20 sec/question

por Nilam Khairnar

Which of the following is a proposition?

x + 2 = 5

Close the door.

5 is a prime number.

Which logical connective corresponds to “either...or”?

Conjunction

Disjunction

Implication

In a Venn diagram, the shaded area representing A∩B corresponds to:

Elements in A or B

Elements only in A

Elements common to both A and B

The Principle of Inclusion-Exclusion is used to find:

The maximum of two sets

The cardinality of the union of overlapping sets

The total number of elements in a universal set

Which of the following logical expressions is a tautology?

p→¬p

p∧¬p

(p∨¬p)

If p→q is true and ¬q is true, what can be concluded?

p is true

q is false

p is false

Let A={1,2,3,4} and B={3,4,5,6} What is (A∪B)−(A∩B)?

{1,2,5,6}

{1,2}

{1,2,3,4,5,6}

Which of the following statements about power sets is TRUE?

Power set of a set with n elements has n raise to 2 subsets

Power set of a set with n elements has 2 raise to n subsets

Power set contains only non-empty subsets

Which of the following statements is logically equivalent to ¬(p∨q)?

¬p∨¬q

p∧q

¬p∧¬q

The expression (p→q)∧(q→r) logically implies which of the following?

p→r

r→p

p↔r

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Unit 1 Mathematical Logic and Set Theory

Froggy Jumps

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Creada por

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Froggy Jumps

Unit 1 Mathematical Logic and Set TheoryVersión en línea

por Nilam Khairnar

Which of the following is a proposition?

Which logical connective corresponds to “either...or”?

In a Venn diagram, the shaded area representing A∩B corresponds to:

The Principle of Inclusion-Exclusion is used to find:

Which of the following logical expressions is a tautology?

If p→q is true and ¬q is true, what can be concluded?

Let A={1,2,3,4} and B={3,4,5,6} What is (A∪B)−(A∩B)?

Which of the following statements about power sets is TRUE?

Which of the following statements is logically equivalent to ¬(p∨q)?

The expression (p→q)∧(q→r) logically implies which of the following?

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