Question # 1

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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

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A = B if

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A is equivalent to B

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

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

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Two

One

No

Three

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

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Addition

Multiplication

Division

Subtraction

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square root function

identity function

linear function

quadratic function

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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Conclusion

Implication

Antecedent

Hypothesis

A conditional "if p then q" is denoted by

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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)

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

What is the number of elements of the power set of {0, 1}

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1

2

3

4

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A

B

U

None of these

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Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

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4

3

2

1

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If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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Addition

Multiplication

Division

Both addition and multiplication

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

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1

12

5

29

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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

If P is a proposition then its negative is denoted by

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The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

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