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Test: Number Set Theory - Class 10 MCQ


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10 Questions MCQ Test The Complete SAT Course - Test: Number Set Theory

Test: Number Set Theory for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Number Set Theory questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Number Set Theory MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Number Set Theory below.
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Test: Number Set Theory - Question 1

The members of the set S = {x | x is the square of an integer and x < 100} is ______

Detailed Solution for Test: Number Set Theory - Question 1

The set S consists of the square of an integer less than 10.

Test: Number Set Theory - Question 2

The set of positive integers is _________

Detailed Solution for Test: Number Set Theory - Question 2

The set of positive integers is not finite.

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Test: Number Set Theory - Question 3

What is the cardinality of the set of odd positive integers less than 10?

Detailed Solution for Test: Number Set Theory - Question 3

Set S of odd positive an odd integer less than 10 is {1, 3, 5, 7, 9}. Then, Cardinality of set S = |S| which is 5.

Test: Number Set Theory - Question 4

What is the Cartesian product of A = {1, 2} and B = {a, b}?

Detailed Solution for Test: Number Set Theory - Question 4

A subset R of the Cartesian product A x B is a relation from the set A to the set B.

Test: Number Set Theory - Question 5

The set O of odd positive integers less than 10 can be expressed by ______

Detailed Solution for Test: Number Set Theory - Question 5

Odd numbers less than 10 is {1, 3, 5, 7, 9}.

Test: Number Set Theory - Question 6

What is the Cardinality of the Power set of the set {0, 1, 2}?

Detailed Solution for Test: Number Set Theory - Question 6

Power set P ({0, 1, 2}) is the set of all subsets of {0, 1, 2}. Hence, P({0, 1, 2}) = {null, {0}, {1}, {2}, {0, 1}, {0,2}, {1, 2}, {0, 1, 2}}.

Test: Number Set Theory - Question 7

Which of the following two sets are equal?

Detailed Solution for Test: Number Set Theory - Question 7

Two set are equal if and only if they have the same elements.

Test: Number Set Theory - Question 8

The Cartesian Product B x A is equal to the Cartesian product A x B.

Detailed Solution for Test: Number Set Theory - Question 8

Let A = {1, 2} and B = {a, b}. The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.

Test: Number Set Theory - Question 9

Power set of empty set has exactly _________ subset.

Detailed Solution for Test: Number Set Theory - Question 9

Power set of null set has exactly one subset which is empty set.

Test: Number Set Theory - Question 10

A __________ is an ordered collection of objects.

Detailed Solution for Test: Number Set Theory - Question 10

By the definition of set.

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