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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. The square roots of – 1 are:

-1

-i and i

2. a > 0 ⇒

–a > 0

1/a < 0

–a < 0

– 1/a > 0

3. 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

4. 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]

5. ‘÷’ is

A binary operation is Q

Not binary operation in E

A binary operation R

Not a binary operation is R

6. The polar form of a complex number is

r (cos θ + i sin θ)

r (tan θ + i cot θ)

r (sin θ + i cos θ)

r (sec θ + i csc θ)

7. ‘ . ‘ is

A binary operation R

A binary operation is Q

Not binary operation in E

Not a binary operation is R

8. Every natural number is also

Rational number

Irrational number

Negative integer

Even integer

9. 1 > – 1 ⇒ –3 > –5, this property is called

Additive property

Multiplicative property

Closure property

Transitive property

10. 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

11. Factorization of 9a² + 16b² is

(3a – 4ib)(3a + 4ib)

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3b – 4a)(3b + 4a)

12. Multiplicative identity in complex numbers is

(0, 1)

(1, 1)

(0, 0)

(1, 0)

13. The additive identity of real numbers is

14. Every recurring decimal or terminating decimal represents the

Rational number

Irrational number

Integer

Natural number

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

None of these

–a + b

a – b

–(a+b)

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

a < a

a = a

a ≠ a

a > a

17. Every even integer is also

Irrational number

Natural number

Rational number

Whole number

18. Every odd integer is also

Negative integer

Rational number

Positive integer

Irrational number

19. 22/7 is?

Natural no

Irrational

Verbal no

Rational

20. Factorization of a² + b²

None of these

(a – bi)(a + bi)

(a – b)(a + b)

(a – bi)(a – bi)

21. 4/2 – 2i

1 – i

–2i

1 + i

22. 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

23. 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

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

None of these

Complex number

Irrational number

Rational number

25. a + ib is

A rational number

An irrational number

A complex number

A whole number

Page 2 of 3

26. The value of i²⁵ = ?

None

-1

-i

27. 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)

28. If z = a + ib, then z¯¹ =

(a + ib)

(a – ib)

a/a²+b² – i b/a²+b²

–a/a²+b² + i b/a²+b²

29. 0.24242424 ……….. is

Both rational and irrational

Irrational

Neither rational nor irrational

Rational

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

Imaginary number

Irrational number

Index number

Rational number

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

Cancellation property of real numbers

Left distributive property of real numbers

Right distributive property of real numbers

Trichotomy property of real number

32. Every integer number is also

Rational number

Natural number

Whole

Irrational number

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

I, II, IV, and V only

I, IV, and V only

V only

I, II, and V only

34. Conjugate of (–3, 4) is

(–3,–4)

(3, –4)

(3, 4)

(–3, 4)

35. a – ib =

a + ib

–a + ib

(b, a)

(a, –b)

36. The members of a carterian product are always

Ordered triples

Ordered pairs

Singletons

None of these

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

{0,2}

{–1, 1}

{–1}

{–1, 0}

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

Addition

Multiplication

None of these

Both a and b

39. π is

A whole number

A natural number

A rational number

An irrational number

40. Every integer is also

Whole number

Irrational number

Rational number

Natural number

41. Z₁Z₂ =

42. The multiplicative inverse of 2 is

–2

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

[17/73 , 73/52]

[17/73 , 52/73]

(15, -32)

(-15, 32)

44. If n is prime then √n is

Irrational

Verbal no

Rational

Natural no

45.

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

42 + 9i

4 + i

9 – 42i

42 – 9i

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

Point (0, 1)

Origin

Point (1, 1)

Point (1, 0)

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

kb/ka

ka/kb

k/ab

ab/k

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

III only

II and III only

II only

II, III and V only

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

√2

Page 3 of 3

51. √36 is

An even integer

A rational number

An irrational number

A factor of 26

52. 3 is

A rational number

A negative integer

An irrational number

An odd integer

53. √25 is

An irrational no

A factor of 26

An even integer

Rational no

54. 0.01001000100001 ___________ is a

None of these

Rational number

Complex number

Irrational number

55. 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

56. 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

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

Greater than unit modulus

None of these

Unit modulus

Less than unit modulus

58. 2:123456789123456789123456789…………

A whole no.

A negative integer

A rational no.

An irrational no

59. Every odd integer is also

Irrational number

Negative integer

Positive integer

Rational number

60. The value of (a + bi)³ is

a³ - b³ - 3ab(a+b)

a³+b³

a³-3ab²3a²bi-b³i

a³+3ab²+3a²b+b³

61. 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 multiplication

Closure property with respect to division

Associative property with respect to addition

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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

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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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