Question # 1

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

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The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

Write down the power set of {9, 11}

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The negation of a number

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a relation

a function

unary operation

binary operation

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

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Addition

Multiplication

Division

Both addition and multiplication

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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A

B

U

None of these

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

The complement of set A relative to universal set U is the set

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None of these

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An empty set

Universal set

A singleton set

None of these

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

Which of the following has the same value as i113

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i

-1

-i

1

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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A = B

B = C

A = C

None of these

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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