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ECAT Mathematics Number System Test Online

Maan AliLast Updated: April 18, 2025

Mathematics Number System MCQS Online Test

ECAT Math Number System Chapter Online Test

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:	ECAT Entry Test Math Online Test Interview Questions about Math All Universities Entrance Test Recruitments Tests

Mathematics Number System Chapter Online Test

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Page 1 of 3

Math

1. 4/2 – 2i

–2i

1 – i

1 + i

2. The multiplicative inverse of 2 is

–2

3. Z₁Z₂ =

4. 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, and V only

V only

I, IV, and V only

I, II, IV, and V only

5. 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

6. The additive identity of real numbers is

7. √25 is

An irrational no

Rational no

A factor of 26

An even integer

8. The value of i²⁵ = ?

-i

-1

None

9. The square roots of – 1 are:

-i and i

-1

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

42 + 9i

42 – 9i

4 + i

9 – 42i

11. a + ib is

A whole number

An irrational number

A complex number

A rational number

12. 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)

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

None of these

Greater than unit modulus

Unit modulus

Less than unit modulus

14. 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]

15. 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

Rational number

Index number

Imaginary number

16. Factorization of 9a² + 16b² is

(3b – 4a)(3b + 4a)

(3a – 4ib)(3a + 4ib)

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

17. Every even integer is also

Rational number

Irrational number

Whole number

Natural number

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

kb/ka

ab/k

k/ab

ka/kb

19. Conjugate of (–3, 4) is

(3, –4)

(3, 4)

(–3, 4)

(–3,–4)

20. Every integer is also

Whole number

Irrational number

Rational number

Natural number

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

{–1, 0}

{–1, 1}

{0,2}

{–1}

22. The members of a carterian product are always

Ordered pairs

Singletons

None of these

Ordered triples

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

[17/73 , 52/73]

[17/73 , 73/52]

(15, -32)

(-15, 32)

24. Every odd integer is also

Rational number

Negative integer

Irrational number

Positive integer

25. Every odd integer is also

Positive integer

Negative integer

Rational number

Irrational number

Page 2 of 3

26. The value of (a + bi)³ is

a³+3ab²+3a²b+b³

a³ - b³ - 3ab(a+b)

a³+b³

a³-3ab²3a²bi-b³i

27. π is

An irrational number

A natural number

A whole number

A rational number

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

Closure property with respect to division

Associative property with respect to addition

Associative property with respect to multiplication

Closure property with respect to addition

29. √36 is

An even integer

An irrational number

A rational number

A factor of 26

30. 0.01001000100001 ___________ is a

None of these

Irrational number

Complex number

Rational number

31. ‘÷’ is

Not binary operation in E

A binary operation R

Not a binary operation is R

A binary operation is Q

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

(x₁ + x₂, y₁ + y₂)

(x₁ + x₂, y₁ – y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + y₁, x₂ + y₂)

33. Multiplicative identity in complex numbers is

(1, 1)

(1, 0)

(0, 1)

(0, 0)

34. a > 0 ⇒

–a < 0

1/a < 0

– 1/a > 0

–a > 0

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

Right distributive property of real numbers

Cancellation property of real numbers

Left distributive property of real numbers

Trichotomy property of real number

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

Both a and b

Multiplication

None of these

Addition

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

a > a

a ≠ a

a = a

a < a

38. 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)

39. 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

a = b ⇒ a + c = b – c

40. a – ib =

(b, a)

(a, –b)

–a + ib

a + ib

41. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Multiplicative property

Additive property

Transitive property

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

Point (0, 1)

Point (1, 0)

Point (1, 1)

Origin

43. Every natural number is also

Even integer

Irrational number

Negative integer

Rational number

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

–(a+b)

a – b

–a + b

None of these

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

0 + √15i

0 + 14i

0 + 3i

0 + √117i

46. Factorization of a² + b²

(a – bi)(a – bi)

(a – bi)(a + bi)

(a – b)(a + b)

None of these

47. If n is prime then √n is

Rational

Verbal no

Irrational

Natural no

48. 0.24242424 ……….. is

Neither rational nor irrational

Both rational and irrational

Rational

Irrational

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

Irrational number

None of these

Complex number

Rational number

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

√2

Page 3 of 3

51. 3 is

An irrational number

An odd integer

A rational number

A negative integer

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

II and III only

III only

II, III and V only

II only

53. Every integer number is also

Natural number

Whole

Rational number

Irrational number

54. 2:123456789123456789123456789…………

An irrational no

A rational no.

A negative integer

A whole no.

55. Every recurring decimal or terminating decimal represents the

Irrational number

Integer

Natural number

Rational number

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

i4n – 1 = i

i-4n = 1

i4n + 1 = i

i4n = 1

57. ‘ . ‘ is

Not a binary operation is R

A binary operation is Q

A binary operation R

Not binary operation in E

58. 22/7 is?

Natural no

Rational

Verbal no

Irrational

59. 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

60.

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

Associative law

Closure law

Distributive law

Commutative law

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Maan AliLast Updated: April 18, 2025

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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

ECAT Mathematics Number System Test Online

Mathematics Number System MCQS Online Test

ECAT Math Number System Chapter Online Test

Mathematics Number System Chapter Online Test

Math

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Maan Ali

16 Comments

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Mathematics Number System MCQS Online Test

ECAT Math Number System Chapter Online Test

Mathematics Number System Chapter Online Test

Math

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Maan Ali

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