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. If n is prime then √n is

Irrational

Natural no

Rational

Verbal no

2. a > 0 ⇒

1/a < 0

–a < 0

–a > 0

– 1/a > 0

3. Factorization of a² + b²

(a – b)(a + b)

(a – bi)(a + bi)

None of these

(a – bi)(a – bi)

4. Every odd integer is also

Irrational number

Negative integer

Positive integer

Rational number

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

Irrational number

Rational number

None of these

Complex number

6. Every odd integer is also

Positive integer

Negative integer

Rational number

Irrational number

7. The multiplicative inverse of 2 is

–2

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

√2

9. ‘ . ‘ is

A binary operation R

A binary operation is Q

Not a binary operation is R

Not binary operation in E

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

(15, -32)

[17/73 , 73/52]

[17/73 , 52/73]

(-15, 32)

11. 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

12. 3 is

A rational number

A negative integer

An odd integer

An irrational number

13. 4/2 – 2i

1 – i

1 + i

–2i

14. ‘÷’ is

A binary operation R

Not a binary operation is R

A binary operation is Q

Not binary operation in E

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

None of these

Multiplication

Addition

Both a and b

16. The square roots of – 1 are:

-1

-i and i

17. The additive identity of real numbers is

18. Conjugate of (–3, 4) is

(3, 4)

(–3,–4)

(3, –4)

(–3, 4)

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

kb/ka

k/ab

ab/k

ka/kb

20. 0.01001000100001 ___________ is a

Rational number

None of these

Complex number

Irrational number

21. √36 is

A factor of 26

An irrational number

An even integer

A rational number

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

0 + 3i

0 + √117i

0 + 14i

0 + √15i

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

{–1, 1}

{0,2}

{–1}

{–1, 0}

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

Associative property with respect to addition

Associative property with respect to multiplication

Closure property with respect to division

Closure property with respect to addition

25. Every even integer is also

Irrational number

Whole number

Natural number

Rational number

Page 2 of 3

26. The members of a carterian product are always

Ordered pairs

Singletons

Ordered triples

None of these

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

a ≠ a

a < a

a > a

a = a

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

None of these

a – b

–(a+b)

–a + b

29. 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

30. 22/7 is?

Verbal no

Rational

Natural no

Irrational

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

Index no

Irrational no

Rational no

Imaginary no

32. If z = a + ib, then z¯¹ =

a/a²+b² – i b/a²+b²

(a + ib)

(a – ib)

–a/a²+b² + i b/a²+b²

33. Every integer number is also

Irrational number

Rational number

Whole

Natural number

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

Closure law

Associative law

Commutative law

Distributive law

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

i4n + 1 = i

i4n = 1

i-4n = 1

i4n – 1 = i

36. √25 is

An irrational no

Rational no

An even integer

A factor of 26

37. The polar form of a complex number is

r (sec θ + i csc θ)

r (cos θ + i sin θ)

r (tan θ + i cot θ)

r (sin θ + i cos θ)

38. Every integer is also

Irrational number

Rational number

Natural number

Whole number

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

Trichotomy property of real number

Right distributive property of real numbers

Cancellation property of real numbers

Left distributive property of real numbers

40. a + ib is

A complex number

A rational number

An irrational number

A whole number

41. 0.24242424 ……….. is

Irrational

Both rational and irrational

Rational

Neither rational nor irrational

42. The value of i²⁵ = ?

-1

None

-i

43. a – ib =

(b, a)

a + ib

(a, –b)

–a + ib

44. π is

A natural number

A rational number

An irrational number

A whole number

45. Every recurring decimal or terminating decimal represents the

Rational number

Natural number

Integer

Irrational number

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

Point (1, 0)

Origin

Point (0, 1)

Point (1, 1)

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

Less than unit modulus

Greater than unit modulus

Unit modulus

None of these

48. The value of (a + bi)³ is

a³+b³

a³ - b³ - 3ab(a+b)

a³+3ab²+3a²b+b³

a³-3ab²3a²bi-b³i

49.

50. Every natural number is also

Negative integer

Irrational number

Rational number

Even integer

Page 3 of 3

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

9 – 42i

42 – 9i

42 + 9i

4 + i

52. Factorization of 9a² + 16b² is

(3b – 4ia)(3b + 4ia)

(3a – 4b)(3a + 4b)

(3b – 4a)(3b + 4a)

(3a – 4ib)(3a + 4ib)

53. 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

V only

I, IV, and V only

I, II, IV, and V only

54. 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

Rational number

Imaginary number

Irrational number

55. 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

II, III and V only

III only

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

(x₁ + x₂, y₁ – y₂)

(x₁ + y₂, x₂ + y₁)

(x₁ + y₁, x₂ + y₂)

(x₁ + x₂, y₁ + y₂)

57. 1 > – 1 ⇒ –3 > –5, this property is called

Transitive property

Closure property

Additive property

Multiplicative property

58. 2:123456789123456789123456789…………

A rational no.

A whole no.

A negative integer

An irrational no

59. 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]

60. Z₁Z₂ =

61. Multiplicative identity in complex numbers is

(1, 1)

(0, 0)

(0, 1)

(1, 0)

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

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

Your Related

ECAT Physics Nuclear Physics Test Online

ECAT English Active and Passive Voice 3 Online Test

Mehran University Sindh ECAT Maths Entry Test Online Preparation

ECAT Computer Functions in “C” Test Online

ECAT Chemistry Gases 3 Test Online

ECAT Computer Science Security Copyright and the Law Test Online

16 Comments

Leave a Reply Cancel reply