# Maths Test-1 Number System

25 Questions | Total Attempts: 43  Settings  BEST OF LUCKTIME LIMIT:30 MIN

• 1.
If a set have n elements then number of its proper subsets is:
• A.

2^n

• B.

(2^n)-1

• C.

1

• D.

NONE

• 2.
Set of irrational number is the sub set of
• A.

Natural number

• B.

Whole numbers

• C.

Real numbers

• D.

All of these

• 3.
A set of natural number is the sub  set of whole number then N∩W is:
• A.

N

• B.

W

• C.

IRRATIONAL

• D.

R

• 4.
Set {x/x E A or x E B or x E both A and B} shows:
• A.

Intersection of A and B

• B.

A only

• C.

Union of A and B

• D.

B only

• 5.
If set A = {0} and W is set of whole number than W-A is:
• A.

Z

• B.

N

• C.

1

• D.

{0}

• 6.
If a set contain 6 elements then its power set contains -------------- elements.
• A.

32

• B.

64

• C.

12

• D.

46

• 7.
As N is a sub set of W then N’ ∩N is equal to:
• A.

{ }

• B.

{0 }

• C.

W

• D.

NONE

• 8.
As N is a sub set of W then N’U N is equal to:
• A.

W

• B.

{}

• C.

N

• D.

NONE

• 9.
According to this diagram which statement is true:
• A.

A and B are overlapping sets

• B.

C is not a subset of B

• C.

A and C are disjoints sets

• D.

All of these

• 10.
Venn diagram shows
• A.

Sets

• B.

Operation on sets

• C.

Both

• D.

None of these

• 11.
If a decimal is non recurring but terminating then it shows?
• A.

Natural number

• B.

Rational number

• C.

Irrational number

• D.

None of these

• 12.
And if it is recurring and non terminating then it shows?
• A.

Irrational number

• B.

Rational number

• C.

Real number

• D.

B & c

• 13.
Set of rational numbers is only proper sub set of?
• A.

Set of real number

• B.

Set of integers

• C.

Set of rational number

• D.

None of these

• 14.
π is:
• A.

Rational number

• B.

Whole number

• C.

Irrational number

• D.

Integer

• 15.
{a=b and b = c  <=>  a = c} is a?
• A.

Symmetric property

• B.

Reflexive property

• C.

Transitive Property

• D.

None of these

• 16.
Set of integers satisfy closure property under:
• A.

• B.

Multiplication

• C.

Both a & b

• D.

None

• 17.
Which of the following set doesn’t satisfy the closure property under addition:
• A.

E

• B.

Z

• C.

O

• D.

W

• 18.
Set of {R} is closed under
• A.

• B.

MULTIPLICATION

• C.

BOTH A AND B

• D.

NONE

• 19.
Which of the following statement is true:
• A.

W⊂N⊂ Z⊂R

• B.

R⊂Z⊂ W⊂N

• C.

N⊂W⊂ Z⊂R

• D.

All of these

• 20.
The number of the form √(n) where n is positive and perfect square always belongs to:
• A.

Q

• B.

W

• C.

Z

• D.

R

• 21.
|z+z bar| is equal to ------------------ where z = a + ib
• A.

2a

• B.

4a^2

• C.

2b

• D.

4b^2

• 22.
If z = x + y i and l3zl = lz-4l then x^2 + y^2 + x = _______
• A.

1

• B.

-1

• C.

2

• D.

-2

• 23.
If z, iz and z+iz are the vertices of a triangle whose area is 2 units then the value of z is_____
• A.

4

• B.

2

• C.

-2

• D.

None

• 24.
If z= cosθ+i sin θ then arg (z^2+z) =_______
• A.

3θ/2

• B.

θ

• C.

θ/2

• D.

• 25.
• A.

(2,30^o)

• B. Back to top