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Mathematics Number System Online Mcqs Test

Maan AliLast Updated: October 15, 2025

Important Mathematic Number System Question and Answer

Total Questions:	61
Time Allowed:	30 Minutes
Total Marks:	61
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	Math Test ECAT Test FPSC/PPSC/SPSC/KPPSC/BPSC/AJKPSC/NTS Mathematic Interview Question Answer Universities Entrance Test

Mathematics Number System Practice Test Online With Explanation

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Page 1 of 3

Math

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

Index no

Imaginary no

Irrational no

Rational no

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

Closure property with respect to addition

Associative property with respect to addition

Closure property with respect to division

Associative property with respect to multiplication

3. Every integer number is also

Irrational number

Whole

Natural number

Rational number

4. 1 > – 1 ⇒ –3 > –5, this property is called

Transitive property

Closure property

Multiplicative property

Additive property

5. a > 0 ⇒

1/a < 0

–a > 0

–a < 0

– 1/a > 0

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

(x₁ + x₂, y₁ – y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + y₁, x₂ + y₂)

(x₁ + x₂, y₁ + y₂)

7. Conjugate of (–3, 4) is

(–3, 4)

(3, –4)

(–3,–4)

(3, 4)

8. 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

Irrational number

Index number

Rational number

Imaginary number

9. 3 is

An odd integer

A rational number

A negative integer

An irrational number

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

{–1, 1}

{–1, 0}

{0,2}

{–1}

11. Z₁Z₂ =

12. 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

III only

II, III and V only

II only

II and III only

13. ‘÷’ is

A binary operation R

Not a binary operation is R

Not binary operation in E

A binary operation is Q

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

Origin

Point (1, 0)

Point (0, 1)

Point (1, 1)

15. If n is prime then √n is

Irrational

Rational

Verbal no

Natural no

16. 0.24242424 ……….. is

Both rational and irrational

Irrational

Rational

Neither rational nor irrational

17. If z = a + ib, then z¯¹ =

(a – ib)

a/a²+b² – i b/a²+b²

(a + ib)

–a/a²+b² + i b/a²+b²

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

None of these

Both a and b

Addition

Multiplication

19. a + ib is

A complex number

A whole number

A rational number

An irrational number

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

0 + √117i

0 + 14i

0 + √15i

0 + 3i

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

k/ab

ka/kb

kb/ka

ab/k

22. The polar form of a complex number is

r (sec θ + i csc θ)

r (cos θ + i sin θ)

r (sin θ + i cos θ)

r (tan θ + i cot θ)

23. Every integer is also

Irrational number

Natural number

Whole number

Rational number

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

Irrational number

Complex number

Rational number

None of these

25. π is

A rational number

A natural number

A whole number

An irrational number

Page 2 of 3

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

None of these

Greater than unit modulus

Less than unit modulus

Unit modulus

27. √36 is

A factor of 26

An irrational number

An even integer

A rational number

28. Factorization of a² + b²

(a – bi)(a – bi)

None of these

(a – b)(a + b)

(a – bi)(a + bi)

29. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3b – 4a)(3b + 4a)

(3a – 4b)(3a + 4b)

(3a – 4ib)(3a + 4ib)

30. The multiplicative inverse of 2 is

–2

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

4 + i

42 – 9i

9 – 42i

42 + 9i

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

a + b ϵ A

a – b ϵ A

a x b ϵ A

a * b ϵ A

33. 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

V only

I, II, and V only

I, IV, and V only

I, II, IV, and V only

34. 2:123456789123456789123456789…………

A rational no.

An irrational no

A negative integer

A whole no.

35. Multiplicative identity in complex numbers is

(1, 1)

(1, 0)

(0, 1)

(0, 0)

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

i4n = 1

i4n + 1 = i

i-4n = 1

i4n – 1 = i

37. Every natural number is also

Even integer

Negative integer

Rational number

Irrational number

38. The value of i²⁵ = ?

-1

None

-i

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

a = b ⇒ a + c = b

a = b ⇒ a + c = b – c

a = b ⇒ a – c = b + c

a = b ⇒ a + c = b + c

40. a – ib =

–a + ib

a + ib

(b, a)

(a, –b)

41. 22/7 is?

Verbal no

Natural no

Irrational

Rational

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

Right distributive property of real numbers

Trichotomy property of real number

Cancellation property of real numbers

Left distributive property of real numbers

43. √25 is

Rational no

A factor of 26

An irrational no

An even integer

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

a < a

a = a

a ≠ a

a > a

45. 4/2 – 2i

–2i

1 – i

1 + i

46. The square roots of – 1 are:

-1

-i and i

47. Multiplicative inverse of (a, b) is

[a²/a²+b², b/a²+b²]

[–a/a²+b² , b/a²+b² ]

[a/a²+b² , –b/a²+b²]

[–a/a²+b² , –b/a²+b²]

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

Commutative law

Closure law

Associative law

Distributive law

49. The additive identity of real numbers is

50. The value of (a + bi)³ is

a³+b³

a³+3ab²+3a²b+b³

a³ - b³ - 3ab(a+b)

a³-3ab²3a²bi-b³i

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51. Every even integer is also

Rational number

Irrational number

Natural number

Whole number

52. ‘ . ‘ is

A binary operation is Q

Not binary operation in E

A binary operation R

Not a binary operation is R

53. Every recurring decimal or terminating decimal represents the

Integer

Irrational number

Rational number

Natural number

54. The members of a carterian product are always

None of these

Singletons

Ordered triples

Ordered pairs

55. 0.01001000100001 ___________ is a

Irrational number

Rational number

Complex number

None of these

56.

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

√2

58. Every odd integer is also

Positive integer

Negative integer

Rational number

Irrational number

59. Every odd integer is also

Positive integer

Irrational number

Rational number

Negative integer

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

[17/73 , 73/52]

(-15, 32)

(15, -32)

[17/73 , 52/73]

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

–(a+b)

None of these

–a + b

a – b

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Maan AliLast Updated: October 15, 2025

16 Comments

eman says:

May 26, 2022 at 11:38 pm

question no. 5 is incorrect

Salman Khan says:

August 5, 2021 at 11:25 pm

paper ma ai ga kai qarente ha

Hamza says:

July 27, 2021 at 4:45 pm

No it is wrong it should be q is not equal to zero but it’s written otherwise.

Dileep Moolani says:

May 15, 2021 at 1:23 pm

Hi please send me past entry tests of MUET

Ali raza says:

November 29, 2018 at 6:35 pm

?

1. Gulzar ahmed says:
  
  May 27, 2022 at 3:30 pm
  
  Friend men y pochna chta ho k me 2025 bba men Logan KYa yo online test preparation Sahi hy
  
Faraz Ahmed says:

July 24, 2017 at 11:04 am

good about of math

1. Akhtar says:
  
  February 9, 2021 at 7:12 pm
  
  Sir, can someone tell me about the course coverage for ECAT test 2025. I mean will it be from officially announced smart courses? Or we have to prepare from the complete course?
  
Ahma says:

July 20, 2017 at 10:16 am

hi there please give me Ecat papers in soft copy.
please send me my mail
thanks

1. Suhail says:
  
  September 20, 2021 at 4:40 pm
  
  Sir slam.. I hope you fine… Sir actually i have seen one problem thats prepared.. Sir where from we can be preparing.. If you should guide i will be grateful to you yet we should get moving thanks??
  
Usama says:

July 15, 2017 at 11:38 pm

Good

Umair Mansoor says:

June 20, 2017 at 9:14 am

Assalamu Alikum , Sir aik problem a rahi ha jb ma kisi b subject ka test start krna lgta hu to test shuru nahi hota balka wohi page dubara a jata ha .Kindly help me. I shall be very thankful to you .

tayyab says:

May 31, 2017 at 3:07 pm

Plz tell me from where i prepare entry test for MS mathematics

umair ahmed says:

March 19, 2017 at 1:51 pm

Q no 20 is incorret

1. zain says:
  
  September 5, 2017 at 2:40 pm
  
  no man its right

Mathematics Number System Online Mcqs Test

Important Mathematic Number System Question and Answer

Mathematics Number System Practice Test Online With Explanation

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Maan Ali

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