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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. 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 and III only

II only

III only

II, III and V only

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

Closure property with respect to addition

Closure property with respect to division

Associative property with respect to addition

Associative property with respect to multiplication

3. 4/2 – 2i

1 – i

–2i

1 + i

4. 22/7 is?

Verbal no

Irrational

Rational

Natural no

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

None of these

Irrational number

Complex number

Rational number

6. √36 is

An even integer

A factor of 26

A rational number

An irrational number

7. 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, II, and V only

I, IV, and V only

I, II, IV, and V only

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

a = a

a > a

a ≠ a

a < a

9. 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)

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. Conjugate of (–3, 4) is

(3, 4)

(–3,–4)

(3, –4)

(–3, 4)

12. 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

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

kb/ka

k/ab

ka/kb

ab/k

14. 1 > – 1 ⇒ –3 > –5, this property is called

Additive property

Multiplicative property

Closure property

Transitive property

15. Every odd integer is also

Positive integer

Rational number

Irrational number

Negative integer

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

√2

17. 3 is

An odd integer

An irrational number

A negative integer

A rational number

18. 0.01001000100001 ___________ is a

None of these

Rational number

Complex number

Irrational number

19. Factorization of a² + b²

(a – bi)(a – bi)

None of these

(a – bi)(a + bi)

(a – b)(a + b)

20. Every natural number is also

Rational number

Irrational number

Negative integer

Even integer

21. 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

22. 2:123456789123456789123456789…………

A rational no.

An irrational no

A whole no.

A negative integer

23. Every even integer is also

Rational number

Natural number

Irrational number

Whole number

24. ‘ . ‘ is

Not a binary operation is R

A binary operation R

Not binary operation in E

A binary operation is Q

25. a – ib =

(a, –b)

(b, a)

–a + ib

a + ib

Page 2 of 3

26. If n is a positive integer, then which of the following relation is false

i4n + 1 = i

i4n = 1

i4n – 1 = i

i-4n = 1

27. 0.24242424 ……….. is

Neither rational nor irrational

Both rational and irrational

Rational

Irrational

28. The value of (a + bi)³ is

a³+b³

a³+3ab²+3a²b+b³

a³-3ab²3a²bi-b³i

a³ - b³ - 3ab(a+b)

29. The square roots of – 1 are:

-i and i

-1

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

(-15, 32)

(15, -32)

[17/73 , 73/52]

[17/73 , 52/73]

31.

32. π is

An irrational number

A rational number

A whole number

A natural number

33. The additive identity of real numbers is

34. The value of i²⁵ = ?

-1

-i

None

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

4 + i

42 + 9i

9 – 42i

42 – 9i

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

{–1, 0}

{–1}

{0,2}

{–1, 1}

37. a + ib is

A complex number

A rational number

A whole number

An irrational number

38. The polar form of a complex number is

r (sec θ + i csc θ)

r (tan θ + i cot θ)

r (sin θ + i cos θ)

r (cos θ + i sin θ)

39. The multiplicative inverse of 2 is

–2

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

Index no

Rational no

Imaginary no

Irrational no

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

None of these

Both a and b

Multiplication

Addition

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

Associative law

Commutative law

Distributive law

Closure law

43. Every integer is also

Irrational number

Natural number

Rational number

Whole number

44. Z₁Z₂ =

45. a > 0 ⇒

–a > 0

1/a < 0

– 1/a > 0

–a < 0

46. 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

Rational number

Irrational number

Index number

Imaginary number

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

Point (0, 1)

Point (1, 1)

Point (1, 0)

Origin

48. Every integer number is also

Natural number

Irrational number

Whole

Rational number

49. The members of a carterian product are always

Ordered triples

None of these

Ordered pairs

Singletons

50. Every odd integer is also

Positive integer

Irrational number

Rational number

Negative integer

Page 3 of 3

51. Factorization of 9a² + 16b² is

(3b – 4a)(3b + 4a)

(3a – 4b)(3a + 4b)

(3b – 4ia)(3b + 4ia)

(3a – 4ib)(3a + 4ib)

52. Multiplicative identity in complex numbers is

(1, 0)

(0, 1)

(1, 1)

(0, 0)

53. 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 ]

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

None of these

Less than unit modulus

Greater than unit modulus

Unit modulus

55. If n is prime then √n is

Irrational

Verbal no

Natural no

Rational

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

a – b

–a + b

None of these

–(a+b)

57. Every recurring decimal or terminating decimal represents the

Integer

Rational number

Natural number

Irrational number

58. ‘÷’ is

A binary operation R

Not binary operation in E

A binary operation is Q

Not a binary operation is R

59. 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

60. √25 is

Rational no

An irrational no

An even integer

A factor of 26

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

0 + 3i

0 + √15i

0 + 14i

0 + √117i

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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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