Maths Test-1 Number System
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- 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: - ProProfs]( "According to this diagram which statement is true:")
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.
Addition
- 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.
ADDITION
- 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.
3θ
- 25.Convert z=radical3+1i in polar form
- A.
(2,30^o)
- B.
(radical 2,60^o)
- C.
(radical3,30^o)
- D.
None
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