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. Every even integer is also

Rational number

Irrational number

Natural number

Whole number

2. Every integer is also

Natural number

Rational number

Irrational number

Whole number

3. Every natural number is also

Negative integer

Even integer

Irrational number

Rational number

4. Every odd integer is also

Irrational number

Negative integer

Positive integer

Rational number

5. Every recurring decimal or terminating decimal represents the

Natural number

Rational number

Integer

Irrational number

6. ‘÷’ is

A binary operation is Q

Not a binary operation is R

A binary operation R

Not binary operation in E

7. Multiplicative inverse of (a, b) is

[–a/a²+b² , –b/a²+b²]

[a²/a²+b², b/a²+b²]

[a/a²+b² , –b/a²+b²]

[–a/a²+b² , b/a²+b² ]

8. √25 is

An irrational no

Rational no

A factor of 26

An even integer

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

Point (0, 1)

Point (1, 0)

Origin

Point (1, 1)

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

{0,2}

{–1, 1}

{–1}

{–1, 0}

11. ‘ . ‘ is

A binary operation is Q

Not a binary operation is R

A binary operation R

Not binary operation in E

12. If z = a + ib, then z¯¹ =

a/a²+b² – i b/a²+b²

–a/a²+b² + i b/a²+b²

(a + ib)

(a – ib)

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

None of these

Multiplication

Both a and b

Addition

14. The square roots of – 1 are:

-1

-i and i

15. 0.01001000100001 ___________ is a

Irrational number

Complex number

Rational number

None of these

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

V only

I, II, IV, and V only

I, II, and V only

I, IV, and V only

17. Multiplicative identity in complex numbers is

(0, 1)

(0, 0)

(1, 0)

(1, 1)

18. 3 is

A negative integer

An odd integer

An irrational number

A rational number

19. Z₁Z₂ =

$Math 1. 02$

20. a > 0 ⇒

1/a < 0

– 1/a > 0

–a < 0

–a > 0

21. Every integer number is also

Whole

Irrational number

Natural number

Rational number

22. √36 is

An irrational number

A factor of 26

A rational number

An even integer

23. a – ib =

a + ib

(a, –b)

(b, a)

–a + ib

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

Less than unit modulus

None of these

Greater than unit modulus

Unit modulus

25. 4/2 – 2i

–2i

1 – i

1 + i

Page 2 of 3

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

Rational number

None of these

Complex number

Irrational number

27. Factorization of a² + b²

None of these

(a – bi)(a – bi)

(a – b)(a + b)

(a – bi)(a + bi)

28. 1 > – 1 ⇒ –3 > –5, this property is called

Additive property

Multiplicative property

Transitive property

Closure property

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

a = b ⇒ a + c = b – c

a = b ⇒ a – c = b + c

a = b ⇒ a + c = b + c

a = b ⇒ a + c = b

30. $Math 1. 01$

31. The polar form of a complex number is

r (cos θ + i sin θ)

r (sin θ + i cos θ)

r (tan θ + i cot θ)

r (sec θ + i csc θ)

32. The additive identity of real numbers is

33. The value of i²⁵ = ?

-1

-i

None

34. a + ib is

A rational number

A whole number

A complex number

An irrational number

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

(x₁ + x₂, y₁ – y₂)

(x₁ + y₁, x₂ + y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + x₂, y₁ + y₂)

36. The members of a carterian product are always

None of these

Ordered pairs

Singletons

Ordered triples

37. 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

Rational number

Imaginary number

Index number

Irrational number

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

0 + √15i

0 + 3i

0 + 14i

0 + √117i

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

(15, -32)

(-15, 32)

[17/73 , 52/73]

[17/73 , 73/52]

40. 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

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

a – b

–a + b

–(a+b)

None of these

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

Imaginary no

Rational no

Irrational no

Index no

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

42 – 9i

4 + i

42 + 9i

9 – 42i

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

a < a

a > a

a = a

a ≠ a

45. Conjugate of (–3, 4) is

(–3, 4)

(3, –4)

(3, 4)

(–3,–4)

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

Cancellation property of real numbers

Right distributive property of real numbers

Trichotomy property of real number

Left distributive property of real numbers

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

i-4n = 1

i4n + 1 = i

i4n – 1 = i

i4n = 1

48. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3a – 4ib)(3a + 4ib)

(3b – 4a)(3b + 4a)

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

a x b ϵ A

a – b ϵ A

a + b ϵ A

a * b ϵ A

50. The multiplicative inverse of 2 is

–2

Page 3 of 3

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

Closure law

Commutative law

Associative law

Distributive law

52. 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 and III only

II only

II, III and V only

53. 22/7 is?

Verbal no

Irrational

Rational

Natural no

54. 2:123456789123456789123456789…………

An irrational no

A negative integer

A rational no.

A whole no.

55. The value of (a + bi)³ is

a³-3ab²3a²bi-b³i

a³+b³

a³+3ab²+3a²b+b³

a³ - b³ - 3ab(a+b)

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

k/ab

ab/k

kb/ka

ka/kb

57. π is

A rational number

An irrational number

A natural number

A whole number

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

√2

59. Every odd integer is also

Negative integer

Irrational number

Positive integer

Rational number

60. If n is prime then √n is

Verbal no

Rational

Natural no

Irrational

61. 0.24242424 ……….. is

Irrational

Neither rational nor irrational

Rational

Both rational and irrational

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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 2026 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 2026. 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

Important Mathematic Number System Question and Answer

Mathematics Number System Practice Test Online With Explanation

Math

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Maan Ali

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