Question # 1

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

The graph of a linear function is

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a circle

triangle

a straight line

none of these

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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

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

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

Two sets A and B are said to be disjoint if

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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

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

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Addition

Multiplication

Subtraction

None

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

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

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

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True

False

Fallacious

Some times true

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics