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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. √25 is

A factor of 26

An even integer

An irrational no

Rational no

2. 3 is

An odd integer

An irrational number

A rational number

A negative integer

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

a – b

None of these

–(a+b)

–a + b

4. 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

II and III only

III only

5. ‘ . ‘ is

Not a binary operation is R

A binary operation R

A binary operation is Q

Not binary operation in E

7. The polar form of a complex number is

r (sin θ + i cos θ)

r (tan θ + i cot θ)

r (sec θ + i csc θ)

r (cos θ + i sin θ)

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

√2

9. Factorization of a² + b²

(a – b)(a + b)

(a – bi)(a + bi)

(a – bi)(a – bi)

None of these

10. 0.24242424 ……….. is

Irrational

Both rational and irrational

Rational

Neither rational nor irrational

11. Every integer number is also

Irrational number

Whole

Rational number

Natural number

12. 0.01001000100001 ___________ is a

Irrational number

Complex number

Rational number

None of these

13. Every recurring decimal or terminating decimal represents the

Rational number

Integer

Natural number

Irrational number

14. Multiplicative identity in complex numbers is

(0, 1)

(1, 0)

(0, 0)

(1, 1)

15. Z₁Z₂ =

16. 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)

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

Addition

Multiplication

None of these

Both a and b

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

a > a

a = a

a ≠ a

a < a

19. a + ib is

A rational number

A complex number

A whole number

An irrational number

20. Every even integer is also

Irrational number

Whole number

Natural number

Rational number

21. 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, II, and V only

V only

I, IV, and V only

22. √36 is

A rational number

An irrational number

An even integer

A factor of 26

23. Multiplicative inverse of (a, b) is

[–a/a²+b² , –b/a²+b²]

[a/a²+b² , –b/a²+b²]

[a²/a²+b², b/a²+b²]

[–a/a²+b² , b/a²+b² ]

24. 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

25. 4/2 – 2i

–2i

1 – i

1 + i

Page 2 of 3

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

42 + 9i

9 – 42i

4 + i

42 – 9i

27. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3a – 4ib)(3a + 4ib)

(3a – 4b)(3a + 4b)

(3b – 4a)(3b + 4a)

28. The value of (a + bi)³ is

a³ - b³ - 3ab(a+b)

a³-3ab²3a²bi-b³i

a³+3ab²+3a²b+b³

a³+b³

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

[17/73 , 52/73]

(15, -32)

[17/73 , 73/52]

(-15, 32)

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

Point (0, 1)

Point (1, 0)

Point (1, 1)

Origin

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

Trichotomy property of real number

Cancellation property of real numbers

Right distributive property of real numbers

Left distributive property of real numbers

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

Unit modulus

None of these

Greater than unit modulus

Less than unit modulus

33. a > 0 ⇒

–a > 0

– 1/a > 0

–a < 0

1/a < 0

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

a x b ϵ A

a – b ϵ A

a * b ϵ A

a + b ϵ A

35. Every odd integer is also

Positive integer

Irrational number

Rational number

Negative integer

36. 22/7 is?

Irrational

Natural no

Rational

Verbal no

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

{–1}

{–1, 0}

{–1, 1}

{0,2}

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

(x₁ + y₁, x₂ + y₂)

(x₁ + x₂, y₁ – y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + x₂, y₁ + y₂)

39. If n is prime then √n is

Natural no

Irrational

Verbal no

Rational

40. a – ib =

(b, a)

a + ib

–a + ib

(a, –b)

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

Commutative law

Associative law

Closure law

Distributive law

42. The square roots of – 1 are:

-i and i

-1

43. ‘÷’ is

A binary operation R

A binary operation is Q

Not a binary operation is R

Not binary operation in E

44. The additive identity of real numbers is

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

ka/kb

kb/ka

k/ab

ab/k

46. π is

A whole number

A natural number

A rational number

An irrational number

47. 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

48. The multiplicative inverse of 2 is

–2

49. Every odd integer is also

Rational number

Irrational number

Negative integer

Positive integer

50. 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

Index no

Rational no

Page 3 of 3

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

Irrational number

Complex number

None of these

Rational number

52. 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

Associative property with respect to addition

Closure property with respect to addition

53. Every natural number is also

Irrational number

Even integer

Negative integer

Rational number

54. The value of i²⁵ = ?

-i

-1

None

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

0 + √117i

0 + 3i

0 + 14i

0 + √15i

56. The members of a carterian product are always

Singletons

None of these

Ordered pairs

Ordered triples

57. 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

Index number

Irrational number

Imaginary number

Rational number

58. Every integer is also

Irrational number

Whole number

Natural number

Rational number

59. 2:123456789123456789123456789…………

A negative integer

An irrational no

A whole no.

A rational no.

60. Conjugate of (–3, 4) is

(3, –4)

(–3,–4)

(–3, 4)

(3, 4)

61. 1 > – 1 ⇒ –3 > –5, this property is called

Multiplicative property

Additive property

Transitive property

Closure property

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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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