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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.
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Mathematics Number System Chapter Online Test

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Page 1 of 3

Math

1. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3b – 4a)(3b + 4a)

(3a – 4ib)(3a + 4ib)

2. Z₁Z₂ =

3. Every odd integer is also

Irrational number

Positive integer

Negative integer

Rational number

5. 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

6. Every integer number is also

Whole

Irrational number

Natural number

Rational number

7. 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

Rational number

Index number

Irrational number

8. 2:123456789123456789123456789…………

A rational no.

A whole no.

A negative integer

An irrational no

9. π is

A whole number

A rational number

A natural number

An irrational number

10. 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

11. a + ib is

A complex number

An irrational number

A whole number

A rational number

12. The square roots of – 1 are:

-i and i

-1

13. 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 multiplication

Closure property with respect to addition

Associative property with respect to addition

14. 22/7 is?

Irrational

Rational

Verbal no

Natural no

15. √36 is

An even integer

An irrational number

A rational number

A factor of 26

16. 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

17. √25 is

An even integer

An irrational no

Rational no

A factor of 26

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

a < a

a > a

a ≠ a

a = a

19. Conjugate of (–3, 4) is

(3, 4)

(–3, 4)

(–3,–4)

(3, –4)

20. 0.01001000100001 ___________ is a

Rational number

Complex number

None of these

Irrational number

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

√2

22. 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

23. 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

24. The value of (a + bi)³ is

a³-3ab²3a²bi-b³i

a³+b³

a³ - b³ - 3ab(a+b)

a³+3ab²+3a²b+b³

25. The members of a carterian product are always

None of these

Singletons

Ordered triples

Ordered pairs

Page 2 of 3

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

Complex number

None of these

Rational number

Irrational number

27. The multiplicative inverse of 2 is

–2

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

kb/ka

ka/kb

k/ab

ab/k

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

Point (0, 1)

Point (1, 0)

Point (1, 1)

Origin

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

[17/73 , 52/73]

(15, -32)

(-15, 32)

[17/73 , 73/52]

31. Factorization of a² + b²

(a – bi)(a + bi)

None of these

(a – b)(a + b)

(a – bi)(a – bi)

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

Less than unit modulus

Unit modulus

Greater than unit modulus

None of these

33. The value of i²⁵ = ?

-1

None

-i

34. Every odd integer is also

Irrational number

Rational number

Negative integer

Positive integer

35. 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, IV, and V only

I, II, and V only

I, II, IV, and V only

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

–a + b

–(a+b)

None of these

a – b

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

Right distributive property of real numbers

Trichotomy property of real number

Left distributive property of real numbers

Cancellation property of real numbers

38. 4/2 – 2i

–2i

1 – i

1 + i

39. The polar form of a complex number is

r (cos θ + i sin θ)

r (sec θ + i csc θ)

r (sin θ + i cos θ)

r (tan θ + i cot θ)

40. Every natural number is also

Even integer

Rational number

Negative integer

Irrational number

41. Multiplicative identity in complex numbers is

(1, 0)

(0, 0)

(1, 1)

(0, 1)

42. 3 is

A negative integer

An odd integer

A rational number

An irrational number

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

(x₁ + x₂, y₁ + y₂)

(x₁ + y₁, x₂ + y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + x₂, y₁ – y₂)

44. ‘÷’ is

A binary operation R

Not binary operation in E

A binary operation is Q

Not a binary operation is R

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

42 – 9i

42 + 9i

9 – 42i

4 + i

46. a – ib =

(b, a)

–a + ib

a + ib

(a, –b)

47. 0.24242424 ……….. is

Irrational

Neither rational nor irrational

Both rational and irrational

Rational

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

{–1}

{–1, 0}

{0,2}

{–1, 1}

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

Associative law

Distributive law

Closure law

Commutative law

50. ‘ . ‘ is

A binary operation is Q

A binary operation R

Not binary operation in E

Not a binary operation is R

Page 3 of 3

51. Every recurring decimal or terminating decimal represents the

Irrational number

Integer

Natural number

Rational number

52. If n is prime then √n is

Verbal no

Rational

Natural no

Irrational

53. 1 > – 1 ⇒ –3 > –5, this property is called

Transitive property

Additive property

Multiplicative property

Closure property

54. The additive identity of real numbers is

55. 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 ]

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

None of these

Addition

Both a and b

Multiplication

57. Every integer is also

Whole number

Natural number

Rational number

Irrational number

58. a > 0 ⇒

1/a < 0

–a > 0

– 1/a > 0

–a < 0

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

0 + √117i

0 + 14i

0 + √15i

0 + 3i

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

Imaginary no

Irrational no

Rational no

Index no

61. Every even integer is also

Whole number

Natural number

Irrational number

Rational number

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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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