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

Please wait...

Page 1 of 3

Math

1. √25 is

An even integer

A factor of 26

An irrational no

Rational no

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

a > a

a = a

a ≠ a

a < a

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

Additive property

Closure property

Transitive property

Multiplicative property

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

42 + 9i

42 – 9i

9 – 42i

4 + i

5. 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

II only

III only

II and III only

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

i4n + 1 = i

i4n – 1 = i

i-4n = 1

i4n = 1

7. 3 is

An irrational number

An odd integer

A negative integer

A rational number

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

Commutative law

Closure law

Distributive law

Associative law

9. 0.24242424 ……….. is

Both rational and irrational

Neither rational nor irrational

Irrational

Rational

10. Multiplicative inverse of (a, b) is

[–a/a²+b² , –b/a²+b²]

[a/a²+b² , –b/a²+b²]

[–a/a²+b² , b/a²+b² ]

[a²/a²+b², b/a²+b²]

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

√2

12. Factorization of a² + b²

(a – bi)(a + bi)

(a – bi)(a – bi)

(a – b)(a + b)

None of these

13. Every integer is also

Irrational number

Whole number

Rational number

Natural number

14. The multiplicative inverse of 2 is

–2

15. a > 0 ⇒

–a < 0

–a > 0

– 1/a > 0

1/a < 0

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

Irrational number

Rational number

None of these

Complex number

17. ‘ . ‘ is

A binary operation is Q

Not a binary operation is R

Not binary operation in E

A binary operation R

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

0 + 14i

0 + √15i

0 + 3i

0 + √117i

19. 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)

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

Point (1, 0)

Point (0, 1)

Point (1, 1)

Origin

21. a + ib is

A complex number

An irrational number

A whole number

A rational number

22. Every even integer is also

Natural number

Whole number

Irrational number

Rational number

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

(x₁ + x₂, y₁ + y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + x₂, y₁ – y₂)

(x₁ + y₁, x₂ + y₂)

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

ab/k

k/ab

kb/ka

ka/kb

25. The additive identity of real numbers is

Page 2 of 3

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

Associative property with respect to addition

Associative property with respect to multiplication

Closure property with respect to addition

Closure property with respect to division

27. The square roots of – 1 are:

-1

-i and i

28. Every odd integer is also

Rational number

Irrational number

Positive integer

Negative integer

29. Multiplicative identity in complex numbers is

(0, 0)

(1, 0)

(1, 1)

(0, 1)

30. 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

Imaginary number

Index number

Rational number

31. π is

A whole number

A rational number

A natural number

An irrational number

32. Conjugate of (–3, 4) is

(–3,–4)

(–3, 4)

(3, 4)

(3, –4)

33. 2:123456789123456789123456789…………

A rational no.

A whole no.

A negative integer

An irrational no

34. The value of (a + bi)³ is

a³ - b³ - 3ab(a+b)

a³-3ab²3a²bi-b³i

a³+3ab²+3a²b+b³

a³+b³

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

None of these

–(a+b)

a – b

–a + b

36. If n is prime then √n is

Rational

Verbal no

Irrational

Natural no

37. 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

I, II, IV, and V only

V only

I, IV, and V only

I, II, and V only

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

{0,2}

{–1, 0}

{–1, 1}

{–1}

39. The value of i²⁵ = ?

-1

-i

None

40. $Math 1. 01$

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

Trichotomy property of real number

Right distributive property of real numbers

Left distributive property of real numbers

Cancellation property of real numbers

42. 0.01001000100001 ___________ is a

None of these

Irrational number

Complex number

Rational number

43. Every integer number is also

Whole

Natural number

Irrational number

Rational number

44. 22/7 is?

Irrational

Natural no

Rational

Verbal no

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

[17/73 , 73/52]

(-15, 32)

(15, -32)

[17/73 , 52/73]

46. Every recurring decimal or terminating decimal represents the

Rational number

Integer

Natural number

Irrational number

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

Less than unit modulus

Greater than unit modulus

Unit modulus

None of these

48. 4/2 – 2i

1 – i

–2i

1 + i

49. 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

a = b ⇒ a – c = b + c

a = b ⇒ a + c = b + c

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

None of these

Addition

Multiplication

Both a and b

Page 3 of 3

51. 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 + b ϵ A

a x b ϵ A

52. Z₁Z₂ =

$Math 1. 02$

53. Every odd integer is also

Negative integer

Rational number

Positive integer

Irrational number

54. The members of a carterian product are always

Singletons

Ordered pairs

None of these

Ordered triples

55. Factorization of 9a² + 16b² is

(3a – 4b)(3a + 4b)

(3b – 4ia)(3b + 4ia)

(3a – 4ib)(3a + 4ib)

(3b – 4a)(3b + 4a)

56. Every natural number is also

Rational number

Irrational number

Negative integer

Even integer

57. a – ib =

(b, a)

(a, –b)

a + ib

–a + ib

58. √36 is

A rational number

An even integer

An irrational number

A factor of 26

59. The polar form of a complex number is

r (cos θ + i sin θ)

r (sec θ + i csc θ)

r (tan θ + i cot θ)

r (sin θ + i cos θ)

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

Irrational no

Imaginary no

Index no

Rational no

61. ‘÷’ is

A binary operation R

A binary operation is Q

Not binary operation in E

Not a binary operation is R

More Related Resources

FAST-NU Admission 2026 – Apply On... NTS Mathematics Important MCQs With... Karachi Board 11th Class Math Onlin... PEC Item Bank System Login 2026 | w... Punjab Mathematics Online Test 11th... Punjab Mathematics Online Test 11th... Punjab Mathematics Online Test 11th... Punjab Mathematics Online Test 11th... Punjab Mathematics Online Test 11th... Punjab Mathematics Online Test 11th...

Can't find what you're looking for? Search below:

Latest Updates

FAST-NU Admission 2026 – Apply Online, Entry Test Schedule, Rol...
NTS Mathematics Important MCQs With Answers
Karachi Board 11th Class Math Online Test Real and Complex Number...
PEC Item Bank System Login 2026 | www.pec.org.pk
Punjab Mathematics Online Test 11th Class Model Paper Chapter No ...
Punjab Mathematics Online Test 11th Class Model Paper Chapter No ...

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

More Related Resources

Latest Updates

Maan Ali

16 Comments

Leave a Reply Cancel reply