Question # 1

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

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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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

A = B if

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A is equivalent to B

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 statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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 A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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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A

B

A'B'

B'A

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

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

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Addition

Multiplication

Division

Subtraction

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An empty set

Universal set

A singleton set

None of these

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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3

1

2

4

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

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Addition

Subtraction

Multiplication

None of these

The number of different ways of describing a set is

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One

Two

Three

Four

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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a constant function

linear function

quadratic funtion

none of these

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A = B

B = C

A = C

None of these

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

A - B = ______

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

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1

-1

0

Does not exist

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