Question # 1

If p and q are two statements then their biconditional 'p if q' is denoted by

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

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A

∅

Ac

U

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

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Addition

Multiplication

Division

Subtraction

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A

B

A'

None of these

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

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

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

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Singleton set

A set with two points

Empty set

None of these

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A

A'

U

None of these

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

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

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

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A

B

U

None of these

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

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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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

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Biconditional

Implication

Antecedent

Hypothesis

Which conjunction is not true ?

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The negation of a number

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a relation

a function

unary operation

binary operation

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

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In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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None of these

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A

A'

U

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

The set which has no proper subset is

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{0}

{}

{∅}

None of these

Let A and B be two sets. If every element of A is also an element of B then

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

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