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

kb/ka

ab/k

ka/kb

k/ab

2. 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]

3. The multiplicative inverse of 2 is

–2

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

Rational no

Imaginary no

Irrational no

Index no

5. ‘ . ‘ is

A binary operation is Q

A binary operation R

Not a binary operation is R

Not binary operation in E

6. Every natural number is also

Irrational number

Negative integer

Rational number

Even integer

7. 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

Imaginary number

Index number

Irrational number

8. 22/7 is?

Rational

Natural no

Verbal no

Irrational

9. 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 addition

Closure property with respect to division

10. 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

a = b ⇒ a + c = b – c

a = b ⇒ a + c = b + c

11. √25 is

Rational no

An irrational no

An even integer

A factor of 26

12.

13. 2:123456789123456789123456789…………

An irrational no

A rational no.

A whole no.

A negative integer

14. Factorization of a² + b²

(a – bi)(a – bi)

(a – b)(a + b)

None of these

(a – bi)(a + bi)

15. Factorization of 9a² + 16b² is

(3a – 4b)(3a + 4b)

(3b – 4ia)(3b + 4ia)

(3b – 4a)(3b + 4a)

(3a – 4ib)(3a + 4ib)

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

42 + 9i

4 + i

9 – 42i

42 – 9i

17. √36 is

A rational number

A factor of 26

An irrational number

An even integer

18. The additive identity of real numbers is

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

Distributive law

Commutative law

Closure law

Associative law

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

√2

21. The value of i²⁵ = ?

-i

None

-1

22. 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 and III only

II only

III only

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

{0,2}

{–1, 1}

{–1}

{–1, 0}

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

[17/73 , 52/73]

(15, -32)

(-15, 32)

[17/73 , 73/52]

25. Every even integer is also

Rational number

Irrational number

Natural number

Whole number

Page 2 of 3

26. a + ib is

A whole number

An irrational number

A complex number

A rational number

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

0 + √15i

0 + 14i

0 + √117i

0 + 3i

28. Every recurring decimal or terminating decimal represents the

Integer

Irrational number

Natural number

Rational number

29. a – ib =

a + ib

–a + ib

(b, a)

(a, –b)

30. 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

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

a = a

a > a

a < a

a ≠ a

32. 1 > – 1 ⇒ –3 > –5, this property is called

Closure property

Multiplicative property

Additive property

Transitive property

33. The members of a carterian product are always

Ordered pairs

None of these

Ordered triples

Singletons

34. 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)

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

i4n = 1

i-4n = 1

i4n – 1 = i

i4n + 1 = i

36. Every integer number is also

Natural number

Rational number

Whole

Irrational number

37. 0.24242424 ……….. is

Irrational

Both rational and irrational

Rational

Neither rational nor irrational

38. If n is prime then √n is

Irrational

Natural no

Verbal no

Rational

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

None of these

Multiplication

Addition

Both a and b

40. a > 0 ⇒

1/a < 0

– 1/a > 0

–a < 0

–a > 0

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

Irrational number

None of these

Complex number

Rational number

42. π is

A rational number

An irrational number

A whole number

A natural number

43. The square roots of – 1 are:

-1

-i and i

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

Point (0, 1)

Origin

Point (1, 0)

Point (1, 1)

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

Trichotomy property of real number

Left distributive property of real numbers

Right distributive property of real numbers

Cancellation property of real numbers

46. Conjugate of (–3, 4) is

(–3,–4)

(3, 4)

(–3, 4)

(3, –4)

47. The value of (a + bi)³ is

a³+b³

a³ - b³ - 3ab(a+b)

a³+3ab²+3a²b+b³

a³-3ab²3a²bi-b³i

48. 4/2 – 2i

1 + i

–2i

1 – i

49. Every integer is also

Rational number

Natural number

Whole number

Irrational number

50. 0.01001000100001 ___________ is a

None of these

Complex number

Rational number

Irrational number

Page 3 of 3

51. Every odd integer is also

Rational number

Negative integer

Positive integer

Irrational number

52. 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, II, IV, and V only

I, IV, and V only

53. Multiplicative identity in complex numbers is

(1, 0)

(1, 1)

(0, 0)

(0, 1)

54. The polar form of a complex number is

r (sin θ + i cos θ)

r (sec θ + i csc θ)

r (tan θ + i cot θ)

r (cos θ + i sin θ)

55. Every odd integer is also

Irrational number

Rational number

Negative integer

Positive integer

56. ‘÷’ is

A binary operation R

Not a binary operation is R

A binary operation is Q

Not binary operation in E

57. 3 is

A rational number

An irrational number

A negative integer

An odd integer

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

None of these

Greater than unit modulus

Less than unit modulus

Unit modulus

59. 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)

60. Z₁Z₂ =

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

None of these

–a + b

–(a+b)

a – b

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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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