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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. √36 is

A factor of 26

An irrational number

A rational number

An even integer

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

ka/kb

k/ab

kb/ka

ab/k

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

Associative property with respect to multiplication

Closure property with respect to division

Closure property with respect to addition

Associative property with respect to addition

4. Every odd integer is also

Irrational number

Negative integer

Positive integer

Rational number

5. The value of i²⁵ = ?

None

-i

-1

6. If z = a + ib, then z¯¹ =

a/a²+b² – i b/a²+b²

(a + ib)

–a/a²+b² + i b/a²+b²

(a – ib)

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

√2

8. Z₁Z₂ =

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

–a + b

None of these

–(a+b)

a – b

10. The square roots of – 1 are:

-1

-i and i

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

Unit modulus

Less than unit modulus

Greater than unit modulus

None of these

12. ‘ . ‘ is

A binary operation R

Not a binary operation is R

Not binary operation in E

A binary operation is Q

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

Irrational no

Rational no

Imaginary no

Index no

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

42 – 9i

9 – 42i

42 + 9i

4 + i

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

(-15, 32)

[17/73 , 73/52]

[17/73 , 52/73]

(15, -32)

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

Addition

Both a and b

Multiplication

None of these

17. Every natural number is also

Rational number

Even integer

Negative integer

Irrational number

18. 0.01001000100001 ___________ is a

Irrational number

Complex number

Rational number

None of these

19. 22/7 is?

Rational

Verbal no

Irrational

Natural no

20. Every integer is also

Whole number

Rational number

Natural number

Irrational number

21. a > 0 ⇒

–a < 0

1/a < 0

–a > 0

– 1/a > 0

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

a > a

a ≠ a

a = a

a < a

23. ‘÷’ is

Not binary operation in E

A binary operation is Q

Not a binary operation is R

A binary operation R

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

(x₁ + x₂, y₁ + y₂)

(x₁ + x₂, y₁ – y₂)

(x₁ + y₁, x₂ + y₂)

(x₁ + y₂, x₂ + y₁)

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

i-4n = 1

i4n = 1

i4n – 1 = i

i4n + 1 = i

Page 2 of 3

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

0 + 14i

0 + √117i

0 + 3i

0 + √15i

27.

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

Origin

Point (1, 0)

Point (1, 1)

Point (0, 1)

29. Every even integer is also

Irrational number

Natural number

Whole number

Rational number

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

{–1}

{0,2}

{–1, 1}

{–1, 0}

31. The value of (a + bi)³ is

a³+b³

a³-3ab²3a²bi-b³i

a³ - b³ - 3ab(a+b)

a³+3ab²+3a²b+b³

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

Left distributive property of real numbers

Right distributive property of real numbers

Trichotomy property of real number

Cancellation property of real numbers

33. 2:123456789123456789123456789…………

A whole no.

A negative integer

An irrational no

A rational no.

34. 1 > – 1 ⇒ –3 > –5, this property is called

Multiplicative property

Transitive property

Additive property

Closure property

35. 0.24242424 ……….. is

Both rational and irrational

Irrational

Rational

Neither rational nor irrational

36. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3a – 4ib)(3a + 4ib)

(3b – 4a)(3b + 4a)

37. 4/2 – 2i

1 + i

1 – i

–2i

38. The members of a carterian product are always

Ordered triples

Ordered pairs

Singletons

None of these

39. Every integer number is also

Irrational number

Natural number

Rational number

Whole

40. √25 is

Rational no

An irrational no

An even integer

A factor of 26

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

a * b ϵ A

a x b ϵ A

a – b ϵ A

a + b ϵ A

42. Every odd integer is also

Rational number

Negative integer

Irrational number

Positive integer

43. The multiplicative inverse of 2 is

–2

44. 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

Index number

Rational number

Imaginary number

Irrational number

45. a – ib =

(b, a)

(a, –b)

a + ib

–a + ib

46. Conjugate of (–3, 4) is

(–3,–4)

(3, –4)

(–3, 4)

(3, 4)

47. If n is prime then √n is

Verbal no

Rational

Natural no

Irrational

48. 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

49. 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

II, III and V only

III only

II only

II and III only

50. Multiplicative identity in complex numbers is

(1, 1)

(1, 0)

(0, 0)

(0, 1)

Page 3 of 3

51. Every recurring decimal or terminating decimal represents the

Natural number

Integer

Irrational number

Rational number

52. 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

53. 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)

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

Distributive law

Commutative law

Associative law

Closure law

55. Factorization of a² + b²

(a – b)(a + b)

(a – bi)(a – bi)

(a – bi)(a + bi)

None of these

56. a + ib is

A whole number

An irrational number

A rational number

A complex number

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

Irrational number

Complex number

Rational number

None of these

58. π is

A natural number

An irrational number

A rational number

A whole number

59. The additive identity of real numbers is

60. 3 is

An irrational number

A rational number

An odd integer

A negative integer

61. 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]

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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

Math

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Maan Ali

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