Question # 1

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

Which conjunction is not true ?

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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

Two sets A and B are said to be disjoint if

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The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

Write down the power set of {9, 11}

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Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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

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3

6

8

15

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1

12

5

29

The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

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A

A'

U

U'

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

The set of complex numbers forms a group under the binary operation of

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Addition

Multiplication

Division

Subtraction

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

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The set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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Natural numbers

Whole numbers

Integers

Rational numbers

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

A = B if

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A is equivalent to B

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

What is the number of elements of the power set of { }

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0

1

2

3

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

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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