Mathematics Number System Online Mcqs Test

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Question 1

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

Answer

Multiplicative property

Answer

Transitive property

Answer

Closure property

Answer

Additive property

Question 2

2. The additive identity of real numbers is

Question 3

3. 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 – c

Answer

a = b ⇒ a – c = b + c

Answer

a = b ⇒ a + c = b

Question 4

4. π is

Answer

A natural number

Answer

An irrational number

Answer

A rational number

Answer

A whole number

Question 5

5. 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 6

6. Every odd integer is also

Answer

Positive integer

Answer

Irrational number

Answer

Rational number

Answer

Negative integer

Question 7

7. 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, III and V only

Answer

II and III only

Question 8

8. Every integer number is also

Answer

Rational number

Answer

Natural number

Answer

Irrational number

Question 9

9. Factorization of 9a² + 16b² is

Answer

(3a – 4b)(3a + 4b)

Answer

(3a – 4ib)(3a + 4ib)

Answer

(3b – 4ia)(3b + 4ia)

Answer

(3b – 4a)(3b + 4a)

Question 10

10. Every integer is also

Answer

Rational number

Answer

Natural number

Answer

Irrational number

Answer

Whole number

Question 11

11. Factorization of a² + b²

Answer

(a – bi)(a + bi)

Answer

None of these

Answer

(a – b)(a + b)

Answer

(a – bi)(a – bi)

Question 12

12. The square roots of – 1 are:

Question 13

13. Multiplicative identity in complex numbers is

Question 14

14. 4/2 – 2i

Question 15

15. 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

Closure law

Answer

Associative law

Question 16

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

Answer

Point (1, 1)

Answer

Point (1, 0)

Answer

Point (0, 1)

Question 17

17. Every recurring decimal or terminating decimal represents the

Answer

Irrational number

Answer

Rational number

Answer

Natural number

Question 18

18. a > 0 ⇒

Answer

– 1/a > 0

Question 19

19. 0.01001000100001 ___________ is a

Answer

Irrational number

Answer

Complex number

Answer

Rational number

Answer

None of these

Question 20

20. The value of (a + bi)³ is

Answer

a³+3ab²+3a²b+b³

Answer

a³-3ab²3a²bi-b³i

Answer

a³ - b³ - 3ab(a+b)

Question 21

21. Every odd integer is also

Answer

Irrational number

Answer

Rational number

Answer

Negative integer

Answer

Positive integer

Question 22

22. The polar form of a complex number is

Answer

r (sec θ + i csc θ)

Answer

r (cos θ + i sin θ)

Answer

r (sin θ + i cos θ)

Answer

r (tan θ + i cot θ)

Question 23

23. Multiplicative inverse of (a, b) is

Answer

[–a/a²+b² , –b/a²+b²]

Answer

[–a/a²+b² , b/a²+b² ]

Answer

[a²/a²+b², b/a²+b²]

Answer

[a/a²+b² , –b/a²+b²]

Question 24

24. 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 25

25. 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 26

26. ‘ . ‘ is

Answer

Not a binary operation is R

Answer

A binary operation R

Answer

Not binary operation in E

Answer

A binary operation is Q

Question 27

27. 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

Irrational number

Answer

Imaginary number

Answer

Index number

Answer

Rational number

Question 28

28. The multiplicative inverse of 2 is

Question 29

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

Answer

None of these

Question 30

30. 0.24242424 ……….. is

Answer

Both rational and irrational

Answer

Irrational

Answer

Neither rational nor irrational

Question 31

31. Conjugate of (–3, 4) is

Answer

(–3,–4)

Question 32

32. 3 is

Answer

An odd integer

Answer

An irrational number

Answer

A rational number

Answer

A negative integer

Question 33

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

Answer

Multiplication

Answer

Both a and b

Answer

None of these

Question 34

34. a – ib =

Question 35

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

Answer

Trichotomy property of real number

Answer

Right distributive property of real numbers

Answer

Left distributive property of real numbers

Answer

Cancellation property of real numbers

Question 36

36. √36 is

Answer

An irrational number

Answer

A rational number

Answer

A factor of 26

Answer

An even integer

Question 37

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

Answer

[17/73 , 73/52]

Answer

[17/73 , 52/73]

Question 38

38.

Question 39

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

Answer

Rational number

Answer

None of these

Answer

Complex number

Answer

Irrational number

Question 40

40. Z₁Z₂ =

Question 41

41. 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 42

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

Answer

Closure property with respect to addition

Answer

Associative property with respect to addition

Answer

Associative property with respect to multiplication

Answer

Closure property with respect to division

Question 43

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

Question 44

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

Answer

i4n – 1 = i

Answer

i4n + 1 = i

Question 45

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

Question 46

46. 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 47

47. Every natural number is also

Answer

Irrational number

Answer

Even integer

Answer

Negative integer

Answer

Rational number

Question 48

48. 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 49

49. √25 is

Answer

An even integer

Answer

An irrational no

Answer

A factor of 26

Answer

Rational no

Question 50

50. a + ib is

Answer

A whole number

Answer

A rational number

Answer

An irrational number

Answer

A complex number

Question 51

51. Every even integer is also

Answer

Rational number

Answer

Irrational number

Answer

Natural number

Answer

Whole number

Question 52

52. ‘÷’ 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 53

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

Question 54

54. If n is prime then √n is

Answer

Natural no

Answer

Irrational

Question 55

55. 2:123456789123456789123456789…………

Answer

A negative integer

Answer

A whole no.

Answer

An irrational no

Answer

A rational no.

Question 56

56. The value of i²⁵ = ?

Question 57

57. 22/7 is?

Answer

Natural no

Answer

Irrational

Question 58

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

Question 59

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

Answer

(x₁ + x₂, y₁ – y₂)

Answer

(x₁ + x₂, y₁ + y₂)

Answer

(x₁ + y₁, x₂ + y₂)

Answer

(x₁ + y₂, x₂ + y₁)

Question 60

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

Question 61

61. The members of a carterian product are always

Answer

Ordered triples

Answer

Ordered pairs

Answer

None of these

Answer

Singletons

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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