Maths Test-1 Number System

25 Questions | By Net1preparation | Last updated: Mar 14, 2022 | Total Attempts: 48

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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:
- 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