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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

Page 1 of 3

Math

1. 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

2. Conjugate of (–3, 4) is

(–3, 4)

(3, 4)

(–3,–4)

(3, –4)

3. 3 is

An odd integer

A negative integer

An irrational number

A rational number

4. The additive identity of real numbers is

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

kb/ka

k/ab

ka/kb

ab/k

7. Every odd integer is also

Positive integer

Rational number

Negative integer

Irrational number

8. Every natural number is also

Rational number

Irrational number

Negative integer

Even integer

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

Left distributive property of real numbers

Trichotomy property of real number

Right distributive property of real numbers

Cancellation property of real numbers

10. Every even integer is also

Rational number

Natural number

Whole number

Irrational number

11. Multiplicative identity in complex numbers is

(1, 1)

(0, 0)

(1, 0)

(0, 1)

12. 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

Index number

Rational number

Irrational number

13. Every integer number is also

Irrational number

Whole

Rational number

Natural number

14. Every recurring decimal or terminating decimal represents the

Irrational number

Natural number

Rational number

Integer

15. 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

16. 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 x b ϵ A

a – b ϵ A

17. 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]

18. The value of (a + bi)³ is

a³-3ab²3a²bi-b³i

a³+b³

a³+3ab²+3a²b+b³

a³ - b³ - 3ab(a+b)

19. 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 and III only

III only

II only

20. If n is prime then √n is

Verbal no

Rational

Irrational

Natural no

21. Z₁Z₂ =

22. If z = a + ib, then z¯¹ =

(a – ib)

a/a²+b² – i b/a²+b²

–a/a²+b² + i b/a²+b²

(a + ib)

23. Every integer is also

Rational number

Natural number

Whole number

Irrational number

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

(-15, 32)

[17/73 , 52/73]

(15, -32)

[17/73 , 73/52]

25. 0.01001000100001 ___________ is a

None of these

Complex number

Irrational number

Rational number

Page 2 of 3

26. 22/7 is?

Natural no

Irrational

Rational

Verbal no

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

Distributive law

Associative law

Closure law

Commutative law

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

Addition

Multiplication

None of these

Both a and b

29. √25 is

A factor of 26

Rational no

An even integer

An irrational no

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

{–1, 0}

{0,2}

{–1, 1}

{–1}

31. a > 0 ⇒

–a > 0

1/a < 0

– 1/a > 0

–a < 0

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

–a + b

–(a+b)

a – b

None of these

33. 4/2 – 2i

–2i

1 + i

1 – i

34. 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, IV, and V only

V only

I, II, and V only

I, II, IV, and V only

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

(x₁ + y₁, x₂ + y₂)

(x₁ + x₂, y₁ + y₂)

(x₁ + x₂, y₁ – y₂)

(x₁ + y₂, x₂ + y₁)

36. Factorization of 9a² + 16b² is

(3a – 4ib)(3a + 4ib)

(3b – 4a)(3b + 4a)

(3a – 4b)(3a + 4b)

(3b – 4ia)(3b + 4ia)

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

Point (1, 0)

Point (0, 1)

Point (1, 1)

Origin

38. √36 is

A factor of 26

An even integer

A rational number

An irrational number

39. Factorization of a² + b²

(a – b)(a + b)

None of these

(a – bi)(a + bi)

(a – bi)(a – bi)

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

Complex number

None of these

Irrational number

Rational number

41. a + ib is

A complex number

A whole number

A rational number

An irrational number

42. 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

43. The square roots of – 1 are:

-1

-i and i

44. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Multiplicative property

Additive property

Transitive property

45. The members of a carterian product are always

Singletons

Ordered triples

None of these

Ordered pairs

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

√2

47. 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

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

4 + i

42 – 9i

42 + 9i

9 – 42i

49. π is

A natural number

A rational number

An irrational number

A whole number

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

Less than unit modulus

None of these

Unit modulus

Greater than unit modulus

Page 3 of 3

51. The polar form of a complex number is

r (sin θ + i cos θ)

r (cos θ + i sin θ)

r (tan θ + i cot θ)

r (sec θ + i csc θ)

52. ‘÷’ is

Not binary operation in E

A binary operation R

Not a binary operation is R

A binary operation is Q

53. Every odd integer is also

Rational number

Negative integer

Irrational number

Positive integer

54. ‘ . ‘ is

A binary operation R

Not a binary operation is R

A binary operation is Q

Not binary operation in E

55. a – ib =

(a, –b)

a + ib

–a + ib

(b, a)

56. The multiplicative inverse of 2 is

–2

57. 0.24242424 ……….. is

Neither rational nor irrational

Both rational and irrational

Rational

Irrational

58. The value of i²⁵ = ?

-1

-i

None

59. 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

60. 2:123456789123456789123456789…………

A rational no.

A negative integer

A whole no.

An irrational no

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

a = a

a ≠ a

a < a

a > a

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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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