Question # 1

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Singleton set

A set with two points

Empty set

None of these

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

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An empty set

Universal set

A singleton set

None of these

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

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

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To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

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A

A'

U

None of these

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Addition

Subtraction

Multiplication

None of these

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

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

If P is a proposition then its negative is denoted by

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A

B

U

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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Which conjunction is not true ?

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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

The negation of a number

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a relation

a function

unary operation

binary operation

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A onto B

both a & c

A into B

none of these

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-x

Infinite set

{-4, 4}

None of these

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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

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

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3

6

8

15

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

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Addition

Multiplication

Division

Both addition and multiplication

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

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One-one function

Constant function

Onto function

Quadratic function

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}

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

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Addition

Multiplication

Subtraction

Division

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

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