Question # 1

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

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Addition

Division

Subtraction

None of these

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

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Addition

Multiplication

Subtraction

None

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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

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Addition

Multiplication

Subtraction

Division

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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 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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An empty set

Universal set

A singleton set

None of these

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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

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One-one function

Constant function

Onto function

Quadratic function

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

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

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1

-1

0

Does not exist

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

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Addition

Multiplication

Subtraction

Division

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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

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True

False

Fallacious

Some times true

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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

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