Mathematics Number System Online Mcqs Test

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Question 1

1. If n is prime then √n is

Answer

Natural no

Answer

Irrational

Question 2

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

Answer

Point (0, 1)

Answer

Point (1, 1)

Answer

Point (1, 0)

Question 3

3. Every odd integer is also

Answer

Negative integer

Answer

Irrational number

Answer

Rational number

Answer

Positive integer

Question 4

4. 0.24242424 ……….. is

Answer

Neither rational nor irrational

Answer

Both rational and irrational

Answer

Irrational

Question 5

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

Question 6

6. The members of a carterian product are always

Answer

None of these

Answer

Ordered pairs

Answer

Ordered triples

Answer

Singletons

Question 7

7. The square roots of – 1 are:

Question 8

8. a – ib =

Question 9

9. 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 10

10. The polar form of a complex number is

Answer

r (cos θ + i sin θ)

Answer

r (tan θ + i cot θ)

Answer

r (sec θ + i csc θ)

Answer

r (sin θ + i cos θ)

Question 11

11. ‘ . ‘ is

Answer

Not binary operation in E

Answer

A binary operation is Q

Answer

A binary operation R

Answer

Not a binary operation is R

Question 12

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

Question 13

13. Multiplicative identity in complex numbers is

Question 14

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

Answer

[17/73 , 73/52]

Answer

[17/73 , 52/73]

Question 15

15. 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 16

16. √36 is

Answer

A factor of 26

Answer

An irrational number

Answer

A rational number

Answer

An even integer

Question 17

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

Answer

i4n – 1 = i

Answer

i4n + 1 = i

Question 18

18. Every even integer is also

Answer

Whole number

Answer

Natural number

Answer

Irrational number

Answer

Rational number

Question 19

19. 4/2 – 2i

Question 20

20. a + ib is

Answer

An irrational number

Answer

A complex number

Answer

A whole number

Answer

A rational number

Question 21

21. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 22

22. Every integer number is also

Answer

Natural number

Answer

Irrational number

Answer

Rational number

Question 23

23. 0.01001000100001 ___________ is a

Answer

None of these

Answer

Rational number

Answer

Irrational number

Answer

Complex number

Question 24

24.

Question 25

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

Answer

None of these

Question 26

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

Answer

None of these

Answer

Unit modulus

Answer

Greater than unit modulus

Answer

Less than unit modulus

Question 27

27. Every recurring decimal or terminating decimal represents the

Answer

Irrational number

Answer

Natural number

Answer

Rational number

Question 28

28. 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 29

29. 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 30

30. 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 31

31. 2:123456789123456789123456789…………

Answer

A whole no.

Answer

A rational no.

Answer

A negative integer

Answer

An irrational no

Question 32

32. Every odd integer is also

Answer

Positive integer

Answer

Negative integer

Answer

Irrational number

Answer

Rational number

Question 33

33. 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 34

34. 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 35

35. Z₁Z₂ =

Question 36

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

Answer

a x b ϵ A

Answer

a + b ϵ A

Answer

a * b ϵ A

Answer

a – b ϵ A

Question 37

37. Factorization of a² + b²

Answer

(a – b)(a + b)

Answer

(a – bi)(a + bi)

Answer

(a – bi)(a – bi)

Answer

None of these

Question 38

38. ‘÷’ is

Answer

Not binary operation in E

Answer

A binary operation is Q

Answer

A binary operation R

Answer

Not a binary operation is R

Question 39

39. The multiplicative inverse of 2 is

Question 40

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

Question 41

41. 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 42

42. Factorization of 9a² + 16b² is

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3b – 4a)(3b + 4a)

Answer

(3a – 4b)(3a + 4b)

Answer

(3b – 4ia)(3b + 4ia)

Question 43

43. a > 0 ⇒

Answer

– 1/a > 0

Question 44

44. 3 is

Answer

A rational number

Answer

A negative integer

Answer

An odd integer

Answer

An irrational number

Question 45

45. 1 > – 1 ⇒ –3 > –5, this property is called

Answer

Closure property

Answer

Additive property

Answer

Multiplicative property

Answer

Transitive property

Question 46

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

Answer

Irrational number

Answer

None of these

Answer

Rational number

Answer

Complex number

Question 47

47. The value of i²⁵ = ?

Question 48

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

Answer

Distributive law

Answer

Closure law

Answer

Commutative law

Answer

Associative law

Question 49

49. 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, II, IV, and V only

Answer

I, II, and V only

Answer

I, IV, and V only

Question 50

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

Answer

Multiplication

Answer

Both a and b

Answer

None of these

Question 51

51. Every integer is also

Answer

Whole number

Answer

Rational number

Answer

Irrational number

Answer

Natural number

Question 52

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

Question 53

53. The additive identity of real numbers is

Question 54

54. The value of (a + bi)³ is

Answer

a³+3ab²+3a²b+b³

Answer

a³ - b³ - 3ab(a+b)

Answer

a³-3ab²3a²bi-b³i

Question 55

55. √25 is

Answer

An irrational no

Answer

An even integer

Answer

A factor of 26

Answer

Rational no

Question 56

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

Answer

(x₁ + y₁, x₂ + y₂)

Answer

(x₁ + x₂, y₁ + y₂)

Answer

(x₁ + y₂, x₂ + y₁)

Answer

(x₁ + x₂, y₁ – y₂)

Question 57

57. 22/7 is?

Answer

Irrational

Answer

Natural no

Question 58

58. π is

Answer

A natural number

Answer

A rational number

Answer

An irrational number

Answer

A whole number

Question 59

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

Question 60

60. Every natural number is also

Answer

Rational number

Answer

Negative integer

Answer

Even integer

Answer

Irrational number

Question 61

61. 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 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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