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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. The additive identity of real numbers is

2. 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

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

Less than unit modulus

Unit modulus

None of these

Greater than unit modulus

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

42 – 9i

42 + 9i

4 + i

9 – 42i

6. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Transitive property

Multiplicative property

Additive property

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

None of these

–(a+b)

–a + b

a – b

8. 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

9. Every odd integer is also

Rational number

Positive integer

Negative integer

Irrational number

10. The polar form of a complex number is

r (tan θ + i cot θ)

r (sec θ + i csc θ)

r (sin θ + i cos θ)

r (cos θ + i sin θ)

11. ‘÷’ is

A binary operation R

Not a binary operation is R

A binary operation is Q

Not binary operation in E

12. Factorization of a² + b²

(a – bi)(a + bi)

(a – b)(a + b)

None of these

(a – bi)(a – bi)

13. 2:123456789123456789123456789…………

A negative integer

A whole no.

An irrational no

A rational no.

14. The multiplicative inverse of 2 is

–2

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

Closure law

Commutative law

Distributive law

Associative law

16. 22/7 is?

Verbal no

Natural no

Irrational

Rational

17. Factorization of 9a² + 16b² is

(3b – 4a)(3b + 4a)

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3a – 4ib)(3a + 4ib)

18. The value of i²⁵ = ?

None

-i

-1

19. If n is prime then √n is

Irrational

Rational

Natural no

Verbal no

20. Z₁Z₂ =

21. Every integer is also

Rational number

Whole number

Irrational number

Natural number

22. 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

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

[17/73 , 52/73]

(15, -32)

(-15, 32)

[17/73 , 73/52]

24. 3 is

An odd integer

A rational number

A negative integer

An irrational number

25. Every recurring decimal or terminating decimal represents the

Rational number

Integer

Irrational number

Natural number

Page 2 of 3

26. 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

I, II, IV, and V only

V only

I, IV, and V only

27. π is

A natural number

A whole number

A rational number

An irrational number

28. a > 0 ⇒

–a > 0

– 1/a > 0

–a < 0

1/a < 0

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

Closure property with respect to division

Closure property with respect to addition

Associative property with respect to multiplication

Associative property with respect to addition

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

(x₁ + y₂, x₂ + y₁)

(x₁ + y₁, x₂ + y₂)

(x₁ + x₂, y₁ – y₂)

(x₁ + x₂, y₁ + y₂)

31. Every natural number is also

Even integer

Negative integer

Rational number

Irrational number

32. Conjugate of (–3, 4) is

(3, 4)

(–3, 4)

(3, –4)

(–3,–4)

33. 0.24242424 ……….. is

Irrational

Neither rational nor irrational

Both rational and irrational

Rational

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

Rational no

Imaginary no

Index no

Irrational no

35. Every odd integer is also

Irrational number

Positive integer

Rational number

Negative integer

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

Origin

Point (1, 0)

Point (1, 1)

Point (0, 1)

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

Addition

Both a and b

None of these

Multiplication

38. a – ib =

(a, –b)

(b, a)

–a + ib

a + ib

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

0 + 14i

0 + 3i

0 + √117i

0 + √15i

40. 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

41. The members of a carterian product are always

Singletons

Ordered triples

Ordered pairs

None of these

42. 4/2 – 2i

–2i

1 – i

1 + i

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

Complex number

None of these

Rational number

Irrational number

44. Multiplicative identity in complex numbers is

(1, 0)

(1, 1)

(0, 1)

(0, 0)

45. ‘ . ‘ is

Not a binary operation is R

Not binary operation in E

A binary operation is Q

A binary operation R

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

k/ab

ab/k

kb/ka

ka/kb

47. If z = a + ib, then z¯¹ =

(a + ib)

–a/a²+b² + i b/a²+b²

(a – ib)

a/a²+b² – i b/a²+b²

48. The value of (a + bi)³ is

a³+3ab²+3a²b+b³

a³+b³

a³ - b³ - 3ab(a+b)

a³-3ab²3a²bi-b³i

49. a + ib is

An irrational number

A complex number

A whole number

A rational number

50. Every even integer is also

Whole number

Rational number

Irrational number

Natural number

Page 3 of 3

51. √25 is

A factor of 26

An even integer

An irrational no

Rational no

52. 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

Trichotomy property of real number

Left distributive property of real numbers

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

{–1, 0}

{0,2}

{–1}

{–1, 1}

54. If ‘*’ is a binary operation in a set A, then for all a, b ϵ A,

a * b ϵ A

a x b ϵ A

a + b ϵ A

a – b ϵ A

55. 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]

56. The square roots of – 1 are:

-1

-i and i

57. √36 is

A factor of 26

A rational number

An even integer

An irrational number

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

a < a

a ≠ a

a > a

a = a

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

√2

60. 0.01001000100001 ___________ is a

Rational number

Irrational number

Complex number

None of these

61. Every integer number is also

Rational number

Irrational number

Whole

Natural 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

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