JEE Main Sets Relations And Functions: Quiz!

What is the cardinality of an empty set?

0

1

infinity

Which of the following is a subset of {1, 2, 3}?

{4}

{1, 2, 3}

{2, 4, 6}

{5}

What is the union of sets A = {1, 2, 3} and B = {2, 3, 4}?

{1, 2, 3, 4}

{2, 3}

{1, 4}

{1, 2, 3, 4, 5}

What is the intersection of sets A = {1, 2, 3} and B = {2, 3, 4}?

{1, 2, 3, 4}

{2, 3}

{1, 4}

{}

Which of the following is a proper subset of {1, 2, 3}?

{1, 2, 3}

{}

{1, 2}

{1, 2, 3, 4} (correct answer: C)

What is the complement of set A = {1, 2, 3} in the universal set U = {1, 2, 3, 4, 5}?

{1, 2, 3}

{4, 5}

{}

{1, 2, 3, 4, 5}

Which of the following is a function?

{(1, 2), (2, 3), (3, 4)}

{(1, 2), (2, 3), (2, 4)}

{(1, 2), (2, 3), (4, 5)}

{(1, 2), (2, 3), (3, 2)}

What is the domain of the function f(x) = x^2 - 1?

all real numbers

all positive real numbers

all non-negative real numbers

all real numbers except for 1 and -1

What is the range of the function f(x) = x^2 - 1?

all real numbers

all positive real numbers

all non-negative real numbers

all real numbers greater than or equal to -1

Which of the following is an injective function?

f(x) = x^2

f(x) = sin(x)

f(x) = x + 1

f(x) = |x|

Which of the following is a surjective function?

f(x) = x^2

f(x) = sin(x)

f(x) = x + 1

f(x) = |x|

0

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