Mathematics Number System Online Mcqs Test

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Question 1

1. 2:123456789123456789123456789…………

Answer

An irrational no

Answer

A negative integer

Answer

A whole no.

Answer

A rational no.

Question 2

2. Every recurring decimal or terminating decimal represents the

Answer

Rational number

Answer

Irrational number

Answer

Natural number

Question 3

3. 3 is

Answer

A rational number

Answer

An odd integer

Answer

An irrational number

Answer

A negative integer

Question 4

4. Every even integer is also

Answer

Whole number

Answer

Irrational number

Answer

Rational number

Answer

Natural number

Question 5

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

Question 6

6. Z₁Z₂ =

Question 7

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

Answer

None of these

Answer

Irrational number

Answer

Complex number

Answer

Rational number

Question 8

8. Every integer is also

Answer

Irrational number

Answer

Whole number

Answer

Rational number

Answer

Natural number

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

Rational no

Answer

Irrational no

Answer

Imaginary no

Question 10

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

Answer

Closure property with respect to division

Answer

Associative property with respect to addition

Answer

Closure property with respect to addition

Answer

Associative property with respect to multiplication

Question 11

11. 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 12

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

Answer

Point (1, 1)

Answer

Point (0, 1)

Answer

Point (1, 0)

Question 13

13. The square roots of – 1 are:

Question 14

14. Factorization of a² + b²

Answer

(a – b)(a + b)

Answer

(a – bi)(a – bi)

Answer

None of these

Answer

(a – bi)(a + bi)

Question 15

15. Factorization of 9a² + 16b² is

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3a – 4b)(3a + 4b)

Answer

(3b – 4a)(3b + 4a)

Answer

(3b – 4ia)(3b + 4ia)

Question 16

16. 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 17

17. The members of a carterian product are always

Answer

Ordered triples

Answer

Ordered pairs

Answer

Singletons

Answer

None of these

Question 18

18. The value of i²⁵ = ?

Question 19

19. 22/7 is?

Answer

Irrational

Answer

Natural no

Question 20

20. √25 is

Answer

An even integer

Answer

Rational no

Answer

An irrational no

Answer

A factor of 26

Question 21

21. 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 22

22. 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 23

23. 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 – b ϵ A

Answer

a x b ϵ A

Question 24

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

Answer

Less than unit modulus

Answer

None of these

Answer

Unit modulus

Answer

Greater than unit modulus

Question 25

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

Question 26

26. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 27

27. π is

Answer

A whole number

Answer

An irrational number

Answer

A natural number

Answer

A rational number

Question 28

28. ‘ . ‘ 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 29

29. Every odd integer is also

Answer

Negative integer

Answer

Irrational number

Answer

Rational number

Answer

Positive integer

Question 30

30. a > 0 ⇒

Answer

– 1/a > 0

Question 31

31. The multiplicative inverse of 2 is

Question 32

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

Answer

None of these

Answer

Both a and b

Answer

Multiplication

Question 33

33. 1 > – 1 ⇒ –3 > –5, this property is called

Answer

Additive property

Answer

Transitive property

Answer

Multiplicative property

Answer

Closure property

Question 34

34.

Question 35

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

Answer

i4n + 1 = i

Answer

i4n – 1 = i

Question 36

36. If n is prime then √n is

Answer

Irrational

Answer

Natural no

Question 37

37. Every natural number is also

Answer

Irrational number

Answer

Negative integer

Answer

Rational number

Answer

Even integer

Question 38

38. 0.01001000100001 ___________ is a

Answer

Irrational number

Answer

None of these

Answer

Complex number

Answer

Rational number

Question 39

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

Answer

[17/73 , 73/52]

Answer

[17/73 , 52/73]

Question 40

40. If z = a + ib, then z¯¹ =

Answer

–a/a²+b² + i b/a²+b²

Answer

a/a²+b² – i b/a²+b²

Answer

(a – ib)

Question 41

41. Every integer number is also

Answer

Rational number

Answer

Natural number

Answer

Irrational number

Question 42

42. Multiplicative identity in complex numbers is

Question 43

43. 4/2 – 2i

Question 44

44. The additive identity of real numbers is

Question 45

45. a + ib is

Answer

A whole number

Answer

An irrational number

Answer

A complex number

Answer

A rational number

Question 46

46. Every odd integer is also

Answer

Irrational number

Answer

Positive integer

Answer

Negative integer

Answer

Rational number

Question 47

47. The value of (a + bi)³ is

Answer

a³ - b³ - 3ab(a+b)

Answer

a³-3ab²3a²bi-b³i

Answer

a³+3ab²+3a²b+b³

Question 48

48. √36 is

Answer

An irrational number

Answer

An even integer

Answer

A factor of 26

Answer

A rational number

Question 49

49. The polar form of a complex number is

Answer

r (cos θ + i sin θ)

Answer

r (tan θ + i cot θ)

Answer

r (sin θ + i cos θ)

Answer

r (sec θ + i csc θ)

Question 50

50. ‘÷’ is

Answer

Not a binary operation is R

Answer

Not binary operation in E

Answer

A binary operation R

Answer

A binary operation is Q

Question 51

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

Answer

Cancellation property of real numbers

Answer

Right distributive property of real numbers

Answer

Trichotomy property of real number

Answer

Left distributive property of real numbers

Question 52

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

Answer

None of these

Question 53

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

Answer

Associative law

Answer

Commutative law

Answer

Distributive law

Answer

Closure law

Question 54

54. 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

Rational number

Answer

Irrational number

Answer

Index number

Question 55

55. 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 56

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

Question 57

57. 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 58

58. a – ib =

Question 59

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

Question 60

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

Question 61

61. 0.24242424 ……….. is

Answer

Irrational

Answer

Both rational and irrational

Answer

Neither rational nor irrational

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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