Home/ECAT/ECAT Mathematics Quadratic Equations Online Test

ECAT Mathematics Quadratic Equations Online Test

Maan AliLast Updated: April 18, 2025

Mathematics Quadratic Equations MCQS Online Test

ECAT Math Quadratic Equations Chapter Online Test

Total Questions:	79
Time Allowed:	40 Minutes
Total Marks:	79
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

ECAT Math Quadratic Equations MCQS Online Test

Please wait...

Page 1 of 4

Math

1. Cube roots of -64 are

4, w, w²

-4, -4w, -4w²

-4, w, w²

4, 4w, 4w²

2. If a > 0, then function f(x) = ax² + bx + c has minimum value at

x = - a/2b

None of these

x = - b/2a

x = a/2b

3. If α, β are non-real roots of ax² + bx + c = 0 (a, b, c ϵ Q), then

α = 1

β = α

α = β

αβ = 1

4. If the roots of x² – 5x + a = 0 are equal, then a =

None of these

25/4

± 25/4

25/5

5. The quadratic equation with roots 2 - √3 and 2 + √3 is

x² - 6x + 6 = 0

x² + 4x + 1 = 0

x² - 6x – 6 = 0

x² - 4x + 1 = 0

6. The roots of the quadratic equation ax2 + bx + c = 0 are real and distinct if.

None of these

b² – 4ac < 0

b² – 4ac = 0

b² – 4ac > 0

7. The first degree function are called function

Quadratic

None of these

Cubic

Linear

8. 3 x 2 + 2x + 1 is a

Polynomial of degree 0

Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree n

9. If ω is the imaginary cube root of unity, then the cube rots of 125 are

5, 5 ω, 5 ω²

3,3 ω, 3 ω²

-3, -3 ω, -3 ω²

-5, -5 ω, -5 ω²

10. w¹⁰⁹ = ?

[-1+i√3/2]

[-1-√3/2]

11. The nature of the roots of equation 9x² -5x + 3 = 0

Irrational

Real & unequal

Real & equal

Complex

12. Which statement is true about the discriminant of the quadratic equation cx² + dx + e = 0 when c ≠ 0?

None of these

d + 4ce

4ce

d² – 4ce

13. For S = Sum of roots and P = Product of roots, the quadratic equation is

x² + Sx + P = 0

x² – Sx + P = 0

x² + Sx – P = 0

x² – Sx – P = 0

14. The value of p for which both the roots of the equation 4x² – 20 px + (25p² + 15p – 66) = 0 are less than 2, lies in

(-∞, -1)

(4/5, 2)

(-1, -4/5)

(2, ∞)

15. 3x² + 2x + 1 is a

Polynomial of degree n

Polynomial of degree 2

Polynomial of degree 3

Polynomial of degree 0

16. If roots of a quadratic equation are equal then discriminant

>0 and is a perfect square

17. If the sum and product of the roots an equation are b/a, c²/b, then the quadratic equation is

abx² – x + ac² = 0

x² – bx + ac

ab² – bx + c = 0

abx² – b²x + ac² = 0

18. Both the roots of the equation (x – b)(x – c) + (x – c)(x – a) + (x – a)(x – b) = 0 are always

Real

None of these

Positive

Negative

19. The polynomial ax³ + bx² + 8 has degree

a + b

None of these

20. What is the type of equation 14(x⁴+1) – 7(x³ + x) + 8x² = 0?

Rational

Irrational

None of these

Reciprocal

21. If S = the sum of the roots of the equation and P = product of the roots of the equation then their equation can be written as:

x² – Sx + P = 0

x² + Sx – P = 0

x² + Sx + P = 0

x² – Sx – P = 0

22. If for the quadratic equation ax² + bx + c = 0, the difference of the roots is the same as their product, then the ration of the roots is.

b – c/b + c

None of these

a – b/a + b

c – a/c + a

23. For a quadratic equation ax² + bx + c = 0, the sum of roots is

b/a

c/a

- b/a

24. Sum of the roots of equation ax² + bx + c = 0 is

-b/a

c/a

-c/a

b/a

25. The value of a for which the sum of the squares of the roots of the equation x² – (a – 2) x – 1 = 0 assume the least value is

Page 2 of 4

26. If a > 0, b > 0, c > 0, then the roots of the equation ax² + bx + c = 0 are

Nothing can be said

Real and negative

Real and positive

Non-real with negative real parts

27. If n is a nonnegative integer, Then a₀xⁿ + …. + a₁x +a₀ is a

Polynomial of degree 2

Polynomial of degree n

Polynomial of degree 0

Polynomial of degree 3

28. If a polynomial f(x) is divided by a linear divisor x + a, the remainder is

-af(a)

f(0)

f(-a)

f(a)

29. A root of equation x⁴ - 5x² + 4 = 0 is

None of these

30. Name the type of equation √x+a + √x+b = e√ex+d

Reciprocal

Irrational

Rational

None of these

31. If one root of the equation x² – 3x + a = 0 is 2, then

a = – 2

a = – 3

a = 2

a = 0

32. If α, β are the roots of ax² + bx + c = 0, then roots of cx² + bx + a = 0 are

1/α, 1/β

β, 1/α

- α,- β

α,1/β

33. If the roots of ax² + b = 0 are real and distinct then

ab > 0

a = 0

ab < 0

a > 0, b > 0

34. 1+w+w² = ?

-1

None of these

35. The roots of (x – a)(x – b) = ab x² are always

Depends upon b

Real

Depends upon a

Depends upon a and b

36. The four fourth roots of unity are

-1,1, -i, i

-3, 3, -3i, 3i

-4, 4, -4i, 4i

-2, -2, -2i, 2i

37. Which is the root of the equation x⁴ - 9x³ + 6x² + 2 = 0?

-2

-1

38. If a polynomial f(x) is divided by a linear divisor ax + 1, the remainder is

f(a)

f(1/a)

f(–1/a)

f(–a)

39. The solution of a quadratic equation x² + 5x – 6 = 0

x = 6

x = -1, x = 6

x = 1, x = -6

x = 1

40. For a quadratic equation ax² + bx + c sum of the root is

None of these

-b/a

c/a

b/a

41. If x³ + 3x² - 6x + 2 is divided by x + 2, then the remainder is

-18

-9

42. [1 + √-3/2]⁹ + [1 - √-3/2]⁹ = ?

-2

43. 3x⁴ + √5 x² + 3x + 1 is a polynomial of degree

44. 7y2 + 5 √y + 3 is a polynomial over

Natural numbers

Rational number

None of these

Integers

45. Quadratic equation is an equation of degree

46. If one root of the equation ax² + bx + c = 0, a ≠ 0, be reciprocal of the other, then

b = c

b = 0

d = 0

a = c

47. If x³ + ax + – a²x – a³ is divided by x + a, then the remainder is

2a³

-a³

a³

48. The quadratic equation whose roots are α β is

x² - (α + β)x - αβ = 0

x² + (α + β)x + αβ = 0

x² - (α + β)x + αβ = 0

x² + (α + β)x - αβ = 0

49. x² + 4x + 4 is

Equation

Polynomial

None of these

Identity

50. If the roots of 3x² + kx + 12 = 0 are equal, then k =

±12

-12

Page 3 of 4

51. If the roots of p² + qx + 1 = 0 are equal, then

q² - 4p = 0

p² - 4p = 0

q² + 4p = 0

p² + 4q = 0

52. Two square roots of the unity are

1, - ω

1, -1

t, t²

-1, ω

53. The roots of the equation 2²x – 10.2x + 16 = 0 are

2, 8

2, 3

1, 3

1, 8

54. If 9x³ - 5x² is divided by 3x + 1, then the remainder is

27/16

16/27

- 27/16

None of these

55. The quadratic formula is

56. If ω is the imaginary cube root of unity, then ω³ =

ω²

2ω

57. The roots of the quadratic equation 2x² – 5x + 3 – 0 are

Imaginary

Equal

Real

Irrational

58. x³ – 3x² + 2x – 6 has a factor

x + 3

x + 2

x – 3

x – 4

59. What should be added to 9x⁴ + 2x² + 25 to make it a perfect square?

30x²

-32x²

14x²

3x²

60. If one root of the equation ix² – 2 (i + 1) x + (2 – i) = 0 is 2 – i, then the other root is

2 + i

- i

2 - i

61. The product of the roots of equation px² – tx + n = 0 is

-t/p

None of these

t/p

n/p

62. The quadratic equation 8 sec²θ – 6 sec θ + 1 = 0 has

No roots

Exactly two roots

Exactly four roots

Infinitely many roots

63. The condition for polynomial equation ax² + bx + c = 0 to be quadratic is

a ≠ 0, b ≠ 0

a < 0

a > 0

a ≠ 0

64. If the roots of ax² + bx + c = 0 are equal in magnitude but opposite in sign, then

c = 0

b = 0

None of these

a = 0

65. If P(x) is divided by x – r such that Q(x) is the quotient and R is the remainder, then the division algorithm is

P(x) = (x – r)R + Q(x)

P(x) = (x – r)Q (x) + R

Q(x) = (x – r)P (x) + R

Q(x) = (x – r)R + P(x)

66. If 2, 3 are roots of the equation 2x³ + mx² – 3x + n 0, then the value of m and n are.

–5, – 30

–5, 30

None of these

5, 30

67. If ax² + bx + c = 0 is satisfied by every value of x, then

b = 0

a = b = c = 0

c = 0

b = 0, c = 0

68. If x – 2 is a factor of ax² – 12x + 4, then

a = 0

a = –7

a = 1

a = 7

69. If x² - 7x + a has a remainder 1 when divided by x + 1, then

a = -7

a = 1

a = 0

a = 7

70. Only one of the root of ax² + bx + c = 0, a ≠ 0, is zero if

c = 0, b ≠ 0

c = 0

b = 0, c = 0

b = 0, c ≠ 0

71. The solution set of x² + 4x – 437 = 0 is

{-2, 9}

{23, -19}

{2, -9}

{-23, 19}

72. ax⁴ + bx³ + cx² + bx + a = 0 is called _________ equation

Radical

Reciprocal

Quadratic

Exponential

73. The product of the roots of the equation 9x² – 5x – 27 = 0

-3

-5/9

-1/3

5/27

74. If x⁴ – 3x + 5 is divided by 2x – 1, then the remainder is

-9

35/16

-35/16

75. If x² + 6x – 27 > 0 and – x² + 3x + 4 > 0, the x lies in the interval.

[9, 3]

(3, 4)

[3, 4]

(-9, 4)

Page 4 of 4

76. A polynomial having one term is called

Trinomial

None of these

Binomial

Monomial

77. If α and β are the roots of x² – 2x + 3 = 0, then the equation with roots α + 2, β + 2 is

3x² – 2x + 1 = 0

x² – 6x + 11 = 0

x² – 11x + 6 = 0

x² – 6x – 11

78. Which one is true?

w = 1/w²

All

w² = 1/w

w³ = 1

Physics

79. The graph of the quadratic function is

Rectangle

Triangle

Parabola

Circle

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

UET Lahore Combined Entry Test 2025 ECAT Schedule…
NED-Karachi ECAT Maths Entry Test Online Preparation
UET Lahore, Taxila ECAT Chemistry Entry Test Online…
UET Lahore, Taxila ECAT Physics Entry Test Online…
NED-Karachi ECAT Chemistry Entry Test Online Preparation
Mehran University Sindh ECAT Physics Entry Test…
Mehran University Sindh ECAT Maths Entry Test Online…
NED-Karachi ECAT Physics Entry Test Online Preparation

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

13 Comments

Khudabux mari IbA college Nausharoferoze says:
June 2, 2022 at 9:12 am

72
Khudabux mari IbA college Nausharoferoze says:
June 2, 2022 at 9:07 am

64
Sakim ullah khan says:
January 9, 2022 at 3:37 am

I apply for the post of pst ,CT and how can I prepare for our self study to pass with high marks
AWAIS ALI says:
August 8, 2020 at 11:06 am

i got 80%
Hamza says:
July 26, 2020 at 6:11 pm

84%
faisal shami says:
July 13, 2017 at 1:42 pm

Ecat preparation
1. Muhammad Awais says:
  August 14, 2022 at 3:14 am
  
  Required my answers
Abdul SAmmad Butt says:
July 12, 2017 at 12:14 pm

80%
Fatima says:
July 10, 2017 at 3:14 pm

84%
Ayesha Muhammad says:
May 10, 2017 at 9:36 pm

Could anyone guide me for the Iba (institute of business administration) test . I want to give an attempt this July . Where should I prep from
1. izhan says:
  November 21, 2018 at 7:34 pm
  
  you can come to my home for prep
2. Qayyum Malik says:
  July 16, 2020 at 12:51 pm
  
  Yes you can contact with me.i will guide you about all info you want.I will add you in a group where you will get best of the knowledge.03023248350 and 03048153918
tufail ahmed says:
October 4, 2016 at 1:07 pm

80%

ECAT Mathematics Quadratic Equations Online Test

Mathematics Quadratic Equations MCQS Online Test

ECAT Math Quadratic Equations Chapter Online Test

ECAT Math Quadratic Equations MCQS Online Test

Math

Physics

Related:

You Might Also Like

Maan Ali

13 Comments

Leave a Reply Cancel reply