Mathematics Number System Online Mcqs Test

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Question 1

1. The members of a carterian product are always

Answer

Ordered pairs

Answer

None of these

Answer

Singletons

Answer

Ordered triples

Question 2

2. Every recurring decimal or terminating decimal represents the

Answer

Natural number

Answer

Irrational number

Answer

Rational number

Question 3

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

Answer

a + b ϵ A

Answer

a x b ϵ A

Answer

a – b ϵ A

Answer

a * b ϵ A

Question 4

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

Answer

None of these

Question 5

5. Every natural number is also

Answer

Rational number

Answer

Even integer

Answer

Irrational number

Answer

Negative integer

Question 6

6. 2:123456789123456789123456789…………

Answer

A rational no.

Answer

A whole no.

Answer

A negative integer

Answer

An irrational no

Question 7

7. 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 8

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

Question 9

9. Every even integer is also

Answer

Natural number

Answer

Irrational number

Answer

Rational number

Answer

Whole number

Question 10

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

Question 11

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

Answer

Both a and b

Answer

Multiplication

Answer

None of these

Question 12

12. The polar form of a complex number is

Answer

r (sin θ + i cos θ)

Answer

r (sec θ + i csc θ)

Answer

r (tan θ + i cot θ)

Answer

r (cos θ + i sin θ)

Question 13

13. 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 14

14. Factorization of 9a² + 16b² is

Answer

(3a – 4b)(3a + 4b)

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3b – 4a)(3b + 4a)

Answer

(3b – 4ia)(3b + 4ia)

Question 15

15. 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

Closure property with respect to addition

Answer

Associative property with respect to multiplication

Answer

Associative property with respect to addition

Question 16

16. √25 is

Answer

An irrational no

Answer

A factor of 26

Answer

An even integer

Answer

Rational no

Question 17

17. a > 0 ⇒

Answer

– 1/a > 0

Question 18

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

Answer

Distributive law

Answer

Commutative law

Answer

Associative law

Answer

Closure law

Question 19

19. Multiplicative identity in complex numbers is

Question 20

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

Question 21

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

Question 22

22. The additive identity of real numbers is

Question 23

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

Answer

Additive property

Answer

Closure property

Answer

Transitive property

Answer

Multiplicative property

Question 24

24. 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 25

25. 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 26

26. If n is prime then √n is

Answer

Irrational

Answer

Natural no

Question 27

27. Every odd integer is also

Answer

Irrational number

Answer

Rational number

Answer

Positive integer

Answer

Negative integer

Question 28

28. ‘÷’ is

Answer

A binary operation R

Answer

Not binary operation in E

Answer

A binary operation is Q

Answer

Not a binary operation is R

Question 29

29. The multiplicative inverse of 2 is

Question 30

30. 0.24242424 ……….. is

Answer

Both rational and irrational

Answer

Irrational

Answer

Neither rational nor irrational

Question 31

31. 0.01001000100001 ___________ is a

Answer

None of these

Answer

Complex number

Answer

Rational number

Answer

Irrational number

Question 32

32. a – ib =

Question 33

33. 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

Trichotomy property of real number

Answer

Left distributive property of real numbers

Question 34

34. 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, IV, and V only

Answer

I, II, and V only

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. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 37

37. Z₁Z₂ =

Question 38

38. 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 39

39. 4/2 – 2i

Question 40

40. Factorization of a² + b²

Answer

None of these

Answer

(a – bi)(a – bi)

Answer

(a – b)(a + b)

Answer

(a – bi)(a + bi)

Question 41

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

Answer

[17/73 , 52/73]

Answer

[17/73 , 73/52]

Question 42

42. a + ib is

Answer

A whole number

Answer

A complex number

Answer

A rational number

Answer

An irrational number

Question 43

43.

Question 44

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

Question 45

45. Every integer number is also

Answer

Irrational number

Answer

Rational number

Answer

Natural number

Question 46

46. 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

Rational no

Answer

Irrational no

Question 47

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

Answer

None of these

Answer

Rational number

Answer

Complex number

Answer

Irrational number

Question 48

48. 3 is

Answer

An irrational number

Answer

A negative integer

Answer

A rational number

Answer

An odd integer

Question 49

49. √36 is

Answer

An irrational number

Answer

An even integer

Answer

A factor of 26

Answer

A rational number

Question 50

50. 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 51

51. 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 52

52. π is

Answer

A natural number

Answer

A rational number

Answer

An irrational number

Answer

A whole number

Question 53

53. Every odd integer is also

Answer

Negative integer

Answer

Positive integer

Answer

Irrational number

Answer

Rational number

Question 54

54. The value of i²⁵ = ?

Question 55

55. ‘ . ‘ is

Answer

A binary operation is Q

Answer

Not binary operation in E

Answer

Not a binary operation is R

Answer

A binary operation R

Question 56

56. 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

Imaginary number

Answer

Rational number

Answer

Irrational number

Question 57

57. The value of (a + bi)³ is

Answer

a³+3ab²+3a²b+b³

Answer

a³-3ab²3a²bi-b³i

Answer

a³ - b³ - 3ab(a+b)

Question 58

58. 22/7 is?

Answer

Irrational

Answer

Natural no

Question 59

59. Every integer is also

Answer

Irrational number

Answer

Natural number

Answer

Whole number

Answer

Rational number

Question 60

60. 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 61

61. The square roots of – 1 are:

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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