Mathematics Number System Online Mcqs Test

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Question 1

1. 1 > – 1 ⇒ –3 > –5, this property is called

Answer

Transitive property

Answer

Closure property

Answer

Multiplicative property

Answer

Additive property

Question 2

2. 2:123456789123456789123456789…………

Answer

A whole no.

Answer

An irrational no

Answer

A rational no.

Answer

A negative integer

Question 3

3. If Z₁ = (x₁, y₁), Z₂ = (x₂, y₂), where Z₁, Z₂ ϵ C then Z₁ + Z₂ = ?

Answer

(x₁ + x₂, y₁ + y₂)

Answer

(x₁ + y₁, x₂ + y₂)

Answer

(x₁ + x₂, y₁ – y₂)

Answer

(x₁ + y₂, x₂ + y₁)

Question 4

4. Every recurring decimal or terminating decimal represents the

Answer

Irrational number

Answer

Natural number

Answer

Rational number

Question 5

5. 0.24242424 ……….. is

Answer

Irrational

Answer

Both rational and irrational

Answer

Neither rational nor irrational

Question 6

6. The additive property of equality of real numbers is that A a,b,c ϵ R

Answer

a = b ⇒ a – c = b + c

Answer

a = b ⇒ a + c = b

Answer

a = b ⇒ a + c = b + c

Answer

a = b ⇒ a + c = b – c

Question 7

7. If Z₁ = 3 – 6i and Z₂ = 4 + 5i then, Z₁Z₂ = ?

Question 8

8. a > 0 ⇒

Answer

– 1/a > 0

Question 9

9. Multiplicative identity in complex numbers is

Question 10

10.

Question 11

11. Multiplicative inverse of (a, b) is

Answer

[a²/a²+b², b/a²+b²]

Answer

[a/a²+b² , –b/a²+b²]

Answer

[–a/a²+b² , –b/a²+b²]

Answer

[–a/a²+b² , b/a²+b² ]

Question 12

12. If z = a + ib, then z¯¹ =

Answer

a/a²+b² – i b/a²+b²

Answer

(a – ib)

Answer

–a/a²+b² + i b/a²+b²

Question 13

13. If ‘*’ is a binary operation in a set A, then for all a, b ϵ A,

Answer

a * b ϵ A

Answer

a + b ϵ A

Answer

a x b ϵ A

Answer

a – b ϵ A

Question 14

14. ‘÷’ is

Answer

A binary operation R

Answer

A binary operation is Q

Answer

Not a binary operation is R

Answer

Not binary operation in E

Question 15

15. Every odd integer is also

Answer

Rational number

Answer

Positive integer

Answer

Irrational number

Answer

Negative integer

Question 16

16. Golden rule of fractions is hat for k ≠ 0, a/b =

Question 17

17. For a, b ϵ R, a > b a = b or a < b is the

Answer

Right distributive property of real numbers

Answer

Cancellation property of real numbers

Answer

Left distributive property of real numbers

Answer

Trichotomy property of real number

Question 18

18. a – ib =

Question 19

19. π is

Answer

A whole number

Answer

A natural number

Answer

A rational number

Answer

An irrational number

Question 20

20. If ‘a’ and ‘b’ are real number then a + b is a real no. This law is called

Answer

Commutative law

Answer

Distributive law

Answer

Associative law

Answer

Closure law

Question 21

21. Geometrically, the modulus of a complex number represents its distance from the

Answer

Point (0, 1)

Answer

Point (1, 0)

Answer

Point (1, 1)

Question 22

22. Which of the following sets has closure property with respect to multiplication?

Question 23

23. √25 is

Answer

Rational no

Answer

An irrational no

Answer

An even integer

Answer

A factor of 26

Question 24

24. 22/7 is?

Answer

Irrational

Answer

Natural no

Question 25

25. The property used in the equation 3 x (7 x 9) = (3 x 7) x 9 is

Answer

Associative property with respect to multiplication

Answer

Associative property with respect to addition

Answer

Closure property with respect to division

Answer

Closure property with respect to addition

Question 26

26. If n is prime then √n is

Answer

Natural no

Answer

Irrational

Question 27

27. Every even integer is also

Answer

Whole number

Answer

Irrational number

Answer

Natural number

Answer

Rational number

Question 28

28. ‘ . ‘ is

Answer

Not binary operation in E

Answer

A binary operation R

Answer

A binary operation is Q

Answer

Not a binary operation is R

Question 29

29. π/4 ≈ 0.785398163397448309615
To which subset of the real number does π/4 belong?
I. Whole Numbers
II. Irrational Numbers
III. Rational Numbers
IV. Integers
V. Natural Numbers

Answer

II and III only

Answer

II, III and V only

Question 30

30. The numbers shown above belong to which of the following subsets of the real numbers?
I. Integers
II. Natural Numbers
III. Irrational Numbers
IV. Rational Numbers
V. Whole Numbers

Answer

I, IV, and V only

Answer

I, II, and V only

Answer

I, II, IV, and V only

Question 31

31. Which of the following is an expression for √–64 + √–36 in the form a + b, where a and b are real?

Answer

0 + √15i

Answer

0 + √117i

Question 32

32. Z₁Z₂ =

Question 33

33. The square roots of – 1 are:

Question 34

34. A number which can be written in form of p/q p,q ϵ z ʌ q ≠ 0 is called the

Answer

Imaginary no

Answer

Irrational no

Answer

Rational no

Question 35

35. Factorization of 9a² + 16b² is

Answer

(3b – 4a)(3b + 4a)

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3b – 4ia)(3b + 4ia)

Answer

(3a – 4b)(3a + 4b)

Question 36

36. Square root of a negative real no is always a

Answer

None of these

Answer

Irrational number

Answer

Complex number

Answer

Rational number

Question 37

37. The additive identity of real numbers is

Question 38

38. The value of i²⁵ = ?

Question 39

39. The polar form of a complex number is

Answer

r (sec θ + i csc θ)

Answer

r (sin θ + i cos θ)

Answer

r (tan θ + i cot θ)

Answer

r (cos θ + i sin θ)

Question 40

40. The value of (a + bi)³ is

Answer

a³+3ab²+3a²b+b³

Answer

a³ - b³ - 3ab(a+b)

Answer

a³-3ab²3a²bi-b³i

Question 41

41. 0.01001000100001 ___________ is a

Answer

Complex number

Answer

Rational number

Answer

None of these

Answer

Irrational number

Question 42

42. √36 is

Answer

An irrational number

Answer

A rational number

Answer

An even integer

Answer

A factor of 26

Question 43

43. The set {0} has closer property w.r.t

Answer

Multiplication

Answer

None of these

Answer

Both a and b

Question 44

44. a + ib is

Answer

An irrational number

Answer

A rational number

Answer

A complex number

Answer

A whole number

Question 45

45. The absolute value of the umber z = 1 – i is

Question 46

46. Every odd integer is also

Answer

Irrational number

Answer

Negative integer

Answer

Positive integer

Answer

Rational number

Question 47

47. If z = a + b then Z = ?

Answer

None of these

Question 48

48. The multiplicative inverse of 2 is

Question 49

49. The reflexive property of equality of real number is that A a ϵ R

Question 50

50. The product of two complex numbers each of unit modulus is also a complex number, of

Answer

None of these

Answer

Greater than unit modulus

Answer

Less than unit modulus

Answer

Unit modulus

Question 51

51. A number which can be written in the form p/q, where p and q are relatively prime integers and q ≠ 0 is called the

Answer

Index number

Answer

Rational number

Answer

Irrational number

Answer

Imaginary number

Question 52

52. The members of a carterian product are always

Answer

Singletons

Answer

None of these

Answer

Ordered triples

Answer

Ordered pairs

Question 53

53. 4/2 – 2i

Question 54

54. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 55

55. Every integer number is also

Answer

Irrational number

Answer

Natural number

Answer

Rational number

Question 56

56. Every integer is also

Answer

Rational number

Answer

Whole number

Answer

Irrational number

Answer

Natural number

Question 57

57. If n is a positive integer, then which of the following relation is false

Answer

i4n + 1 = i

Answer

i4n – 1 = i

Question 58

58. Factorization of a² + b²

Answer

(a – b)(a + b)

Answer

(a – bi)(a + bi)

Answer

(a – bi)(a – bi)

Answer

None of these

Question 59

59. The value of (5, - 4) ÷ (-3, -8) as

Answer

[17/73 , 73/52]

Answer

[17/73 , 52/73]

Question 60

60. Every natural number is also

Answer

Even integer

Answer

Rational number

Answer

Irrational number

Answer

Negative integer

Question 61

61. 3 is

Answer

A negative integer

Answer

A rational number

Answer

An irrational number

Answer

An odd integer

Question 62

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Total Questions:	61
Time Allowed:	30 Minutes
Total Marks:	61
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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