Mathematics Number System Online Mcqs Test

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Question 1

1. The value of (a + bi)³ is

Answer

a³+3ab²+3a²b+b³

Answer

a³ - b³ - 3ab(a+b)

Answer

a³-3ab²3a²bi-b³i

Question 2

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

Question 3

3. Every natural number is also

Answer

Irrational number

Answer

Even integer

Answer

Negative integer

Answer

Rational number

Question 4

4. If z = a + ib, then z¯¹ =

Answer

(a – ib)

Answer

a/a²+b² – i b/a²+b²

Answer

–a/a²+b² + i b/a²+b²

Question 5

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

Answer

Greater than unit modulus

Answer

Unit modulus

Answer

Less than unit modulus

Answer

None of these

Question 6

6. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 7

7. √25 is

Answer

An even integer

Answer

Rational no

Answer

A factor of 26

Answer

An irrational no

Question 8

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

Answer

Closure law

Answer

Associative law

Answer

Distributive law

Answer

Commutative law

Question 9

9. 2:123456789123456789123456789…………

Answer

A negative integer

Answer

An irrational no

Answer

A rational no.

Answer

A whole no.

Question 10

10. The additive identity of real numbers is

Question 11

11. 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

Imaginary number

Answer

Index number

Answer

Irrational number

Answer

Rational number

Question 12

12. ‘ . ‘ is

Answer

A binary operation is Q

Answer

A binary operation R

Answer

Not binary operation in E

Answer

Not a binary operation is R

Question 13

13.

Question 14

14. Multiplicative inverse of (a, b) is

Answer

[–a/a²+b² , –b/a²+b²]

Answer

[a/a²+b² , –b/a²+b²]

Answer

[–a/a²+b² , b/a²+b² ]

Answer

[a²/a²+b², b/a²+b²]

Question 15

15. Factorization of 9a² + 16b² is

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3b – 4a)(3b + 4a)

Answer

(3b – 4ia)(3b + 4ia)

Answer

(3a – 4b)(3a + 4b)

Question 16

16. π is

Answer

A natural number

Answer

An irrational number

Answer

A rational number

Answer

A whole number

Question 17

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

Answer

a = b ⇒ a + c = b

Answer

a = b ⇒ a + c = b – c

Answer

a = b ⇒ a + c = b + c

Answer

a = b ⇒ a – c = b + c

Question 18

18. a + ib is

Answer

A whole number

Answer

An irrational number

Answer

A rational number

Answer

A complex number

Question 19

19. The value of i²⁵ = ?

Question 20

20. If n is prime then √n is

Answer

Natural no

Answer

Irrational

Question 21

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

Answer

None of these

Question 22

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

Answer

i4n + 1 = i

Answer

i4n – 1 = i

Question 23

23. 1 > – 1 ⇒ –3 > –5, this property is called

Answer

Additive property

Answer

Transitive property

Answer

Multiplicative property

Answer

Closure property

Question 24

24. 22/7 is?

Answer

Irrational

Answer

Natural no

Question 25

25. Every odd integer is also

Answer

Rational number

Answer

Irrational number

Answer

Negative integer

Answer

Positive integer

Question 26

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

Question 27

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

Answer

[17/73 , 52/73]

Answer

[17/73 , 73/52]

Question 28

28. The members of a carterian product are always

Answer

Ordered triples

Answer

Singletons

Answer

None of these

Answer

Ordered pairs

Question 29

29. The multiplicative inverse of 2 is

Question 30

30. Every odd integer is also

Answer

Negative integer

Answer

Irrational number

Answer

Rational number

Answer

Positive integer

Question 31

31. √36 is

Answer

An irrational number

Answer

A factor of 26

Answer

An even integer

Answer

A rational number

Question 32

32. Every integer number is also

Answer

Natural number

Answer

Irrational number

Answer

Rational number

Question 33

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

Answer

Point (1, 0)

Answer

Point (1, 1)

Answer

Point (0, 1)

Question 34

34. ‘÷’ is

Answer

Not a binary operation is R

Answer

A binary operation is Q

Answer

A binary operation R

Answer

Not binary operation in E

Question 35

35. The square roots of – 1 are:

Question 36

36. Every integer is also

Answer

Natural number

Answer

Whole number

Answer

Irrational number

Answer

Rational number

Question 37

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

Answer

Cancellation property of real numbers

Answer

Trichotomy property of real number

Answer

Right distributive property of real numbers

Answer

Left distributive property of real numbers

Question 38

38. 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, IV, and V only

Answer

I, II, and V only

Question 39

39. Multiplicative identity in complex numbers is

Question 40

40. 0.01001000100001 ___________ is a

Answer

Irrational number

Answer

Rational number

Answer

Complex number

Answer

None of these

Question 41

41. 0.24242424 ……….. is

Answer

Neither rational nor irrational

Answer

Irrational

Answer

Both rational and irrational

Question 42

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

Answer

0 + √117i

Answer

0 + √15i

Question 43

43. Every even integer is also

Answer

Rational number

Answer

Irrational number

Answer

Whole number

Answer

Natural number

Question 44

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

Question 45

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

Answer

Both a and b

Answer

Multiplication

Answer

None of these

Question 46

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

Answer

Associative property with respect to addition

Answer

Associative property with respect to multiplication

Answer

Closure property with respect to division

Answer

Closure property with respect to addition

Question 47

47. 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 48

48. Every recurring decimal or terminating decimal represents the

Answer

Rational number

Answer

Natural number

Answer

Irrational number

Question 49

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

Question 50

50. 4/2 – 2i

Question 51

51. Factorization of a² + b²

Answer

(a – bi)(a + bi)

Answer

(a – b)(a + b)

Answer

None of these

Answer

(a – bi)(a – bi)

Question 52

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

Answer

(x₁ + y₁, x₂ + y₂)

Answer

(x₁ + y₂, x₂ + y₁)

Answer

(x₁ + x₂, y₁ – y₂)

Answer

(x₁ + x₂, y₁ + y₂)

Question 53

53. Z₁Z₂ =

Question 54

54. 3 is

Answer

An odd integer

Answer

A rational number

Answer

An irrational number

Answer

A negative integer

Question 55

55. a > 0 ⇒

Answer

– 1/a > 0

Question 56

56. 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 57

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

Answer

Complex number

Answer

Rational number

Answer

Irrational number

Answer

None of these

Question 58

58. a – ib =

Question 59

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

Answer

Irrational no

Answer

Rational no

Answer

Imaginary no

Question 60

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

Question 61

61. The polar form of a complex number is

Answer

r (sin θ + i cos θ)

Answer

r (tan θ + i cot θ)

Answer

r (cos θ + i sin θ)

Answer

r (sec θ + i csc θ)

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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