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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. 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

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

Point (0, 1)

Point (1, 1)

Point (1, 0)

Origin

3. Every odd integer is also

Rational number

Positive integer

Irrational number

Negative integer

4. 0.01001000100001 ___________ is a

Rational number

Complex number

Irrational number

None of these

5. π is

A whole number

An irrational number

A natural number

A rational number

6. a + ib is

A whole number

A rational number

A complex number

An irrational number

7. 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

8. 4/2 – 2i

1 – i

1 + i

–2i

9. √36 is

An irrational number

An even integer

A factor of 26

A rational number

10. Every integer is also

Irrational number

Rational number

Natural number

Whole number

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

Distributive law

Associative law

Commutative law

Closure law

12. 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 ]

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

None of these

Complex number

Rational number

Irrational number

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

Cancellation property of real numbers

Right distributive property of real numbers

Left distributive property of real numbers

Trichotomy property of real number

15. Factorization of a² + b²

None of these

(a – bi)(a – bi)

(a – bi)(a + bi)

(a – b)(a + b)

16. The square roots of – 1 are:

-i and i

-1

17. If n is prime then √n is

Rational

Natural no

Verbal no

Irrational

18. a > 0 ⇒

– 1/a > 0

1/a < 0

–a > 0

–a < 0

19. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Transitive property

Additive property

Multiplicative property

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

42 – 9i

9 – 42i

4 + i

42 + 9i

21. The value of (a + bi)³ is

a³+b³

a³-3ab²3a²bi-b³i

a³ - b³ - 3ab(a+b)

a³+3ab²+3a²b+b³

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

(15, -32)

[17/73 , 73/52]

(-15, 32)

[17/73 , 52/73]

23. Every recurring decimal or terminating decimal represents the

Irrational number

Rational number

Integer

Natural number

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

{0,2}

{–1}

{–1, 1}

{–1, 0}

25. Every even integer is also

Whole number

Natural number

Irrational number

Rational number

Page 2 of 3

26. If z = a + ib, then z¯¹ =

a/a²+b² – i b/a²+b²

–a/a²+b² + i b/a²+b²

(a – ib)

(a + ib)

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

i-4n = 1

i4n + 1 = i

i4n – 1 = i

i4n = 1

28. 0.24242424 ……….. is

Rational

Both rational and irrational

Neither rational nor irrational

Irrational

29. Conjugate of (–3, 4) is

(–3, 4)

(–3,–4)

(3, 4)

(3, –4)

30. 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

Imaginary number

Irrational number

Rational number

31. ‘÷’ is

Not binary operation in E

A binary operation is Q

Not a binary operation is R

A binary operation R

32. √25 is

An irrational no

Rational no

A factor of 26

An even integer

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

Multiplication

None of these

Both a and b

Addition

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

Rational no

Irrational no

Imaginary no

Index no

35. Every natural number is also

Negative integer

Rational number

Irrational number

Even integer

36. 2:123456789123456789123456789…………

An irrational no

A rational no.

A negative integer

A whole no.

37. Every odd integer is also

Negative integer

Positive integer

Rational number

Irrational number

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

–a + b

a – b

–(a+b)

None of these

39.

40. 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 only

III only

II and III only

II, III and V only

41. Factorization of 9a² + 16b² is

(3a – 4b)(3a + 4b)

(3b – 4a)(3b + 4a)

(3a – 4ib)(3a + 4ib)

(3b – 4ia)(3b + 4ia)

42. Multiplicative identity in complex numbers is

(1, 0)

(0, 1)

(0, 0)

(1, 1)

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

√2

44. The multiplicative inverse of 2 is

–2

45. ‘ . ‘ is

A binary operation is Q

A binary operation R

Not binary operation in E

Not a binary operation is R

46. 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

Associative property with respect to addition

Closure property with respect to addition

47. The value of i²⁵ = ?

None

-i

-1

48. The additive identity of real numbers is

49. 22/7 is?

Verbal no

Rational

Natural no

Irrational

50. Every integer number is also

Whole

Natural number

Irrational number

Rational number

Page 3 of 3

51. 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)

52. Z₁Z₂ =

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

a = a

a < a

a > a

a ≠ a

54. 3 is

A rational number

An irrational number

A negative integer

An odd integer

55. The polar form of a complex number is

r (tan θ + i cot θ)

r (cos θ + i sin θ)

r (sin θ + i cos θ)

r (sec θ + i csc θ)

56. The members of a carterian product are always

Singletons

Ordered triples

None of these

Ordered pairs

57. a – ib =

a + ib

(b, a)

–a + ib

(a, –b)

58. 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 + √15i

0 + √117i

59. 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

V only

I, IV, and V only

I, II, and V only

60. 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

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

ab/k

kb/ka

k/ab

ka/kb

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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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