Question # 1

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4

3

2

1

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

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An empty set

Universal set

A singleton set

None of these

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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None of these

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

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A

A'

U

None of these

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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

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True

False

Ambiguous

Some times true

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≠ C

B = C

A = B

A≠ B

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

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

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

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 real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

Write down the power set of {9, 11}

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The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

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

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