Home/ECAT/ECAT Mathematics Number System Test Online

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

Please wait...

Page 1 of 3

Math

1. The members of a carterian product are always

Singletons

None of these

Ordered pairs

Ordered triples

2. The square roots of – 1 are:

-1

-i and i

3. Conjugate of (–3, 4) is

(3, 4)

(–3, 4)

(–3,–4)

(3, –4)

4. 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 + b ϵ A

a x b ϵ A

5. ‘÷’ is

A binary operation R

Not binary operation in E

Not a binary operation is R

A binary operation is Q

6. 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, IV, and V only

I, II, and V only

V only

I, II, IV, and V only

7. 0.24242424 ……….. is

Both rational and irrational

Irrational

Rational

Neither rational nor irrational

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

Point (0, 1)

Point (1, 1)

Origin

Point (1, 0)

9. If n is prime then √n is

Natural no

Rational

Irrational

Verbal no

10. 4/2 – 2i

–2i

1 + i

1 – i

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

a – b

–(a+b)

None of these

–a + b

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

(x₁ + y₁, x₂ + y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + x₂, y₁ – y₂)

(x₁ + x₂, y₁ + y₂)

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

ka/kb

kb/ka

ab/k

k/ab

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

Greater than unit modulus

Unit modulus

Less than unit modulus

None of these

15. Factorization of a² + b²

(a – bi)(a + bi)

None of these

(a – b)(a + b)

(a – bi)(a – bi)

16. Every integer number is also

Irrational number

Natural number

Rational number

Whole

17. 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

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

Left distributive property of real numbers

Right distributive property of real numbers

Cancellation property of real numbers

Trichotomy property of real number

19. 22/7 is?

Rational

Natural no

Verbal no

Irrational

20.

21. π is

An irrational number

A whole number

A natural number

A rational number

22. 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 ]

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

(15, -32)

(-15, 32)

[17/73 , 52/73]

[17/73 , 73/52]

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

a = a

a < a

a > a

a ≠ a

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

Rational number

Irrational number

Complex number

None of these

Page 2 of 3

26. a > 0 ⇒

– 1/a > 0

1/a < 0

–a < 0

–a > 0

27. √36 is

An even integer

A factor of 26

A rational number

An irrational number

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

Commutative law

Associative law

Distributive law

Closure law

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

{–1, 1}

{0,2}

{–1, 0}

{–1}

30. 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)

31. 2:123456789123456789123456789…………

A whole no.

A negative integer

A rational no.

An irrational no

32. The additive identity of real numbers is

33. The multiplicative inverse of 2 is

–2

34. 3 is

A rational number

An irrational number

A negative integer

An odd integer

35. √25 is

A factor of 26

An irrational no

An even integer

Rational no

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

i4n – 1 = i

i-4n = 1

i4n = 1

i4n + 1 = i

37. 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

II, III and V only

III only

II and III only

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

None of these

Multiplication

Both a and b

Addition

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

Rational no

Index no

Imaginary no

Irrational no

40. The value of (a + bi)³ is

a³+3ab²+3a²b+b³

a³ - b³ - 3ab(a+b)

a³-3ab²3a²bi-b³i

a³+b³

41. a – ib =

–a + ib

(b, a)

a + ib

(a, –b)

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

0 + 3i

0 + 14i

0 + √117i

0 + √15i

43. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Transitive property

Additive property

Multiplicative property

44. Multiplicative identity in complex numbers is

(0, 0)

(1, 1)

(0, 1)

(1, 0)

45. Every natural number is also

Irrational number

Negative integer

Even integer

Rational number

46. 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

47. Every recurring decimal or terminating decimal represents the

Natural number

Integer

Irrational number

Rational number

48. Every odd integer is also

Negative integer

Irrational number

Positive integer

Rational number

49. Every odd integer is also

Irrational number

Negative integer

Positive integer

Rational number

50. The value of i²⁵ = ?

-1

-i

None

Page 3 of 3

51. 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

52. a + ib is

An irrational number

A whole number

A rational number

A complex number

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

42 – 9i

42 + 9i

4 + i

9 – 42i

54. Every even integer is also

Irrational number

Whole number

Rational number

Natural number

55. Every integer is also

Irrational number

Natural number

Rational number

Whole number

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

Closure property with respect to addition

Associative property with respect to addition

Closure property with respect to division

Associative property with respect to multiplication

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

√2

58. Factorization of 9a² + 16b² is

(3a – 4ib)(3a + 4ib)

(3b – 4a)(3b + 4a)

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

59. ‘ . ‘ is

Not a binary operation is R

A binary operation R

A binary operation is Q

Not binary operation in E

60. Z₁Z₂ =

61. 0.01001000100001 ___________ is a

Irrational number

None of these

Complex number

Rational number

You Can Learn and Gain more Knowledge through our Online Quiz and Testing system Just Search your desired Preparation subject at Gotest.

UET Peshawar Entry Test 2025 Registration Online ETEA Test D...
ECAT Statistics Test Set 17
ECAT Statistics Test Set 16
ECAT Statistics Test Set 15
ECAT Statistics Test Set 14
ECAT Statistics Test Set 13
ECAT Statistics Test Set 12
ECAT Statistics Test Set 11
ECAT Statistics Test Set 10
ECAT Statistics Test Set 9

Maan AliLast Updated: April 18, 2025

Facebook Twitter Reddit WhatsApp Share via Email Print

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

You Might Also Like

Maan Ali

16 Comments

Leave a Reply Cancel reply