Mathematics Partial Fractions Online Test

Q: How can I prepare for Mathematics Partial Fractions Online Test?

You can prepare for Mathematics Partial Fractions Online Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

1. Partial fractions of 1/x²-4 will be of the form

Answer

A/x+2 + B/(x-2)²

Answer

None of these

Answer

A/x+2 + B/x-2

Answer

A/x-2 + B/(x+2)²

Question 2

2. (x – 4)² = x² + 8x + 16 is

Answer

An identity

Answer

A transcendental equation

Answer

An equation

Answer

Cubic equation

Question 3

3. If a + b + c = 0, a ≠ 0, a, b, c ϵ Q, then both the roots of the equation ax² + bx + c = 0 are

Answer

Irrational

Question 4

4. x/(x+2)(x–3)

Answer

2/5(x+2) + 3/5(x–3)

Answer

2/5(x+2) – 3/5(x+3)

Answer

2/5(x–2) + 3/5(x+3)

Answer

2/5(x+2) – 3/5(x–3)

Question 5

5. If the roots of x² + ax + b = 0 are non-real, then for all real x, x² + ax + b is

Answer

Nothing can be said

Question 6

6. The rational fraction P(x)/Q(x) is a proper fraction if

Answer

Degree of Q(x)< degree of P(x)

Answer

Degree of P(x) = degree of Q(x)

Answer

Degree of P(x)< degree of Q(x)

Answer

None of these

Question 7

7. x + 3/x = 4 is

Answer

An equation

Answer

An identity

Answer

A transcendental equation

Answer

Cubic equation

Question 8

8. Algebric equation can be divided into

Answer

Four kinds

Answer

Three kinds

Question 9

9. A fraction in which the degree of the numerator is less than the degree of the denominator is called

Answer

An improper fraction

Answer

A proper fraction

Answer

Algebraic equation

Question 10

10. Partial fraction of x³+2x+2/(x²+x+1)² form

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Answer

A/x²+x+1 + B/(x²+x+1)²

Answer

(Ax+B)(x²+x+1)+C(x²+x+1)²

Answer

None of these

Question 11

11. If 2x¹ᐟ³ + 2 x¯¹ᐟ³ = 5, then x is equal to

Question 12

12. The symbol _________ shall be used both for equation and identity

Question 13

13. 9x²/x³¯¹ is a fraction.

Answer

None of these

Answer

Proper fraction

Answer

Rational fraction

Answer

Improper fraction

Question 14

14. 1/(x²+x+a)(x²+x+b) =

Answer

1/a-b[1/x²+x+b +1/x²+x+a]

Answer

None of these

Answer

1/a-b[1/x²+x+b – 1/x²+x+a]

Answer

1/a-b[1/x²+x+a – 1/x²+x+b]

Question 15

15. (x – 4)² = x² – 8x + 16 is

Answer

Identity equation

Answer

Cubic equation

Answer

An equation

Answer

Transcendental Equation

Question 16

16. The function of the form f(x) = p(x)/q(x) q(x) ≠ 0 where P(x) and q(x) are polynomial in x is called

Answer

Algebric relation

Question 17

17. An improper fraction can be reduced to proper fraction by

Answer

Multiplication

Answer

Subtraction

Question 18

18. Partial fractions of 1/x³+1 will be of the form

Answer

A/x-1 – B/x²-x+1

Answer

A/x+1 – B/x²-x+1

Answer

A/x+1 + Bx+C/x²-x+1

Answer

Ax+B/x+1 + C/x²-x+1

Question 19

19. Rotational fraction are of

Answer

Three types

Answer

Four types

Question 20

20. In a quadratic equation with leading co-efficient 1, a student reads the co-efficient 16 of x wrongly as 19 and obtain the roots as – 15 and – 4. The correct roots are

Question 21

21. Partial fractions of 1/(1–ax)(1–bx)(1–cx) will be of the form

Answer

Ax+B/1-ax + C/1-bx + D/1-cx

Answer

A/1-ax + Bx+C/1-bx + D/1-cx

Answer

A/1-ax + B/1-bx + C/1-cx

Answer

None of these

Question 22

22. (ax+b)/(cx +d)² =

Answer

A/cx+d + B/(cx+d)²

Answer

A/cx+d + B/cx+d

Answer

None of these

Answer

Ax+B/(cx+d)²

Question 23

23. x-1/(x+2)(x-2) = ?

Answer

4/3(x-4) + 1/3(x-1)

Answer

3/x – 2/x+1

Answer

3/4(x+2) + 1/4(x-2)

Answer

4/3(x-2) + 4/3(x+2)

Question 24

24. The identity (x + 3)(x + 4) = x² + 7x + 12 is true for

Answer

Two values of x

Answer

All values of x

Answer

None of these

Answer

One value of x

Question 25

25. x² + x – 6 = 0 is a conditional equation and it is true for

Question 26

26. If sin θ and cos θ are the roots of the equation ax² + bx + c = 0, then

Answer

(a – c)² = b² + c²

Answer

(a + c)² = b² + c²

Answer

(a – c)² = b² – c²

Answer

(a + c)² = b² – c²

Question 27

27. The partial fraction of 1/x²–1 is

Answer

1/2(x–1) + 1/2(x+1)

Answer

1/2(x–1) – 1/2(x+1)

Question 28

28. A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

Answer

Algebraic equation

Answer

A proper fraction

Answer

An improper fraction

Question 29

29. Partial fractions of 2x²-3x+4/(x-1)³ will be of the form

Answer

A/x-1 + Bx+C/(x-1)² + D/(x-1)³

Answer

Ax+B/x-1 + C/(x-1)² + D/(x-1)³

Answer

A/x+1 + B/(x+1)² + C/(x+1)³

Answer

A/x-1 + B/(x-1)² + C/(x-1)³

Question 30

30. Let the equation ax² – bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

Question 31

31. A quadratic factor which cannot be written as the product of two linear factors is called

Answer

Reducible factor

Answer

None of these

Answer

Irreducible factor

Answer

Re placed factor

Question 32

32. The number of solutions of the equation √y+3 + √y = 1 is

Question 33

33. A relation in which the quality is true only for a number of unknown is called

Answer

Algebric equation

Answer

Algebric relation

Question 34

34. To resolve a combined fraction into its pars is called

Answer

None of these

Answer

Rational fraction

Answer

Partial fraction

Answer

Combined fraction

Question 35

35. The equation (cos P – 1) x² + x (cos P) + sin P = 0 in the variable x, has real roots, then P can take any value in the interval.

Answer

(-π/2, π/2)

Question 36

36. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x – 1, B = x + 1

Answer

A = x, B = 1

Answer

A = -1, B = 1

Answer

A = 0, B = 2

Question 37

37. A fraction in which degree of numerator is greater than or equal to the degree of denominator is called

Answer

Improper fraction

Answer

A proper fraction

Answer

Algebric equation

Question 38

38. The set of real roots of the equation log(5x – 4) (2x+3)³ -log(2x + 3) (10x² + 23x + 12) = 1 is

Question 39

39. There are _________ types of rational fraction.

Question 40

40. When two or more rational fractions are added, resulting fraction is called

Answer

None of these

Answer

Improper fraction

Answer

Partial fraction

Answer

Combined fraction

Question 41

41. 1/(x – 3)(x – 2) =

Answer

1/x+3 – 1/x+2

Answer

1/x-3 – 1/x-2

Answer

1/x²-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Question 42

42. ax+b/(cx + d)(ex +f) =

Answer

A/cx+d + Bx/(ex+f)²

Answer

A/cx+d + bx/ex+f

Answer

None of these

Answer

Ax+B/cx+d + C/ex+f

Question 43

43. 4x = 5 is ?

Answer

Conditional

Question 44

44. If x² + px + 1 is a factor of ax³ + bx + c, then

Answer

a² – c² = – ab

Answer

a² – c² = ab

Answer

None of these

Answer

a² + c² = – ab

Question 45

45. x-1/(x+2)(x-2) =

Answer

3/x – 2/x+1

Answer

2/3(x-2) – 4/3(x+2)

Answer

3/4(x+2) + 1/4(x-2)

Answer

4/3(x-4) – 1/3(x-1)

Question 46

46. The process of partial decomposition result in

Answer

None of these

Answer

An identity

Answer

Partial fraction

Question 47

47. A fraction in which degree of numerator is less than degree of denominator is

Answer

An improper fraction

Answer

A proper fraction

Answer

Algebric relation

Question 48

48. If 7x+25/(x+3)(x+4) = a/x+3 + B/x+4, then find values of A and B

Answer

A = 1, B = 5

Answer

A = 1, B = 3

Answer

A = 4, B = 3

Answer

A = 2, B = 3

Question 49

49. Partial fractions of 1/(x+1)(x²+1) will be the form

Answer

A/x+1 + Bx+C/x²+1

Answer

A/x-1 + B/x²+1

Answer

None of these

Answer

A/x+1 + B/x²+1

Question 50

50. 2x = 3 is a conditional equation it is true for

Question 51

51. The index of variables in a poly nomial is called its

Answer

Co-efficient

Question 52

52. 2x²-3x+4/(x+1)³ =

Answer

2/x-1 – 7/(x-1)² + 9/(x-1)³

Answer

2/x+1 – 7/(x+1)² + 9/(x-1)³

Answer

2/x+1 – 7/(x+1)² + 9/(x+1)³

Answer

2/x-1 – 7/(x+1)² + 9/(x+1)³

Question 53

53. Partial fractions of x²+1/x²+1 will be of the form

Answer

A/x-1 – B/x²-x+1

Answer

None of these

Answer

A/x+1 – B/x²-x+1

Answer

A/x+1 + Bx+C/x²-x+1

Question 54

54. An open sentences formed by using the sign of equality “=” is called

Answer

In equality

Answer

None of these

Question 55

55. Partial fractions of 1/(x + 1)(x² – 1)

Answer

None of these

Answer

A/x+1 + B/x+1 + C/x-1

Answer

A/x+1 + Bx+0/x²-1

Answer

A/x+1 + B/(x+1)² + C/x-1

Question 56

56. x + 3/x = 4 is

Answer

An identity

Answer

A transcendental equation

Answer

An equation

Answer

Cubic equation

Question 57

57. 1/(x+3)(x+2) =

Answer

None of these

Answer

1/x+3 – 1/x+2

Answer

1/x²-3 – 1/x²-2

Answer

1/x-3 – 1/x-2

Question 58

58. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

Rational fraction

Answer

Proper rational fraction

Answer

Improper rational fraction

Answer

None of these

Question 59

59. 1/(x²+5)(x²+5) =

Answer

1/x²-4 – 1/x²+5

Answer

1/x²+4 – 1/x²+5

Answer

1/x²+4 – 1/x²-5

Answer

None of these

Question 60

60. (x+2)² = x² + 4x + 4 is

Answer

A cubic equation

Answer

None of these

Answer

A quadratic equation

Answer

A linear equation

Question 61

61. Which is a proper rational fraction?

Answer

9x⁴/x³–1

Answer

None of these

Answer

2x–5/x²+4

Answer

2x²–5/x²+4

Question 62

62. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x-1, B = x + 1

Answer

A = x, B = 1

Answer

A = 0, B = 2

Answer

A = -1, B = 1

Question 63

63. A relation in which equality is true for any value of unknown is called an

Answer

Algebric equation

Answer

None of these

Question 64

64. (x + 2)² = x² + 4x + 4 is

Answer

An identity

Answer

An equation

Answer

Cubic equation

Answer

Linear equation

Answer 184

Algebric equation

Answer 185

Algebric relation

Answer 186

P = 1, q = 1

Answer 187

P = -2, q = 1

Answer 188

P = 1, q = -1

Answer 189

P = 2, q = 1

Answer 190

None of these

Answer 191

Conditional

Answer 192

A/x+1 + B/x-1

Answer 193

Ax+B/x²-1

Answer 194

3/x+2 – 7/x-9

Answer 195

3/x-2 + 7/x+9

Answer 196

3/x-2 – 7/x+9

Answer 197

3/x+2 + 7/x-9

Answer 198

False Sentence

Answer 199

In Equation

Answer 200

True Sentence

Answer 201

Rational fraction

Answer 202

Improper rational fraction

Answer 203

Proper fraction

Answer 204

None of these

Answer 205

Ax+B/(x²+2)² + C/(x+1)²

Answer 206

None of these

Answer 207

Ax+B/x²+2 + Cx+D/(x²+2)² + E/x+1 + F/(x+1)²

Answer 208

A/(x²+2)² + B/(x+1)²

Answer 209

A/x-a + B/x+b + C/x+c

Answer 210

A/x+a + B/x+b + C/x+c

Answer 211

None of these

Answer 212

A/x-a + B/x-b + C/x+c

Total Questions:	75
Time Allowed:	40 Minutes
Total Marks:	75
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 Partial Fractions Online Test

Important Math Partial Fractions Question and Answer

Math Partial Fractions Practice Test Online With Explanation

Math

How to Score High in Mathematics Partial Fractions Online Test?

Key Preparation Tips:

More Related Resources

Maan Ali

2 Comments

Leave a Reply Cancel reply

Important Math Partial Fractions Question and Answer

Math Partial Fractions Practice Test Online With Explanation

Math

How to Score High in Mathematics Partial Fractions Online Test?

Key Preparation Tips:

More Related Resources

Latest Updates

Maan Ali

2 Comments

Leave a Reply Cancel reply