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/x³+1 will be of the form

Answer

Ax+B/x+1 + C/x²-x+1

Answer

A/x+1 + Bx+C/x²-x+1

Answer

A/x-1 – B/x²-x+1

Answer

A/x+1 – B/x²-x+1

Question 2

2. x + 3/x = 4 is

Answer

Cubic equation

Answer

A transcendental equation

Answer

An identity

Answer

An equation

Question 3

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

Question 4

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

Answer

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

Answer

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

Answer

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

Answer

3/x – 2/x+1

Question 5

5. 4x = 5 is ?

Answer

Conditional

Question 6

6. x²–3/3x+1 is

Answer

Rational fraction

Answer

Proper fraction

Answer

Improper rational fraction

Answer

None of these

Question 7

7. Which is a proper rational fraction?

Answer

2x²–5/x²+4

Answer

2x–5/x²+4

Answer

None of these

Answer

9x⁴/x³–1

Question 8

8. Rotational fraction are of

Answer

Four types

Answer

Three types

Question 9

9. x + 3/x = 4 is

Answer

An equation

Answer

A transcendental equation

Answer

Cubic equation

Answer

An identity

Question 10

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

Answer

A/x-2 + B/(x+2)²

Answer

A/x+2 + B/x-2

Answer

A/x+2 + B/(x-2)²

Answer

None of these

Question 11

11. An open sentence formed by using the sign of equality “=” is called

Answer

In Equation

Answer

True Sentence

Answer

False Sentence

Question 12

12. Partial fractions of 2x⁴-3x³-4x/(x²+2)²(x+1)²

Answer

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

Answer

None of these

Answer

Ax+B/(x²+2)² + C/(x+1)²

Answer

A/(x²+2)² + B/(x+1)²

Question 13

13. The values of x which satisfy both the in equations x² – 1 ≤ 0 and x² – x 2 ≥ 0 lie is

Question 14

14. 1/(x²+x+a)(x²+x+b) =

Answer

1/a-b[1/x²+x+b +1/x²+x+a]

Answer

1/a-b[1/x²+x+b – 1/x²+x+a]

Answer

1/a-b[1/x²+x+a – 1/x²+x+b]

Answer

None of these

Question 15

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

Answer

Algebric equation

Answer

Algebric relation

Question 16

16. (x+2)² = x² + 4x + 4 is

Answer

None of these

Answer

A cubic equation

Answer

A linear equation

Answer

A quadratic equation

Question 17

17. Algebric equation can be divided into

Answer

Three kinds

Answer

Four kinds

Question 18

18. 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

An improper fraction

Answer

A proper fraction

Question 19

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

Answer

None of these

Answer

Reducible factor

Answer

Irreducible factor

Answer

Re placed factor

Question 20

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

Answer

None of these

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)

Question 21

21. (x + 2)² = x² + 4x + 4 is

Answer

An identity

Answer

Cubic equation

Answer

An equation

Answer

Linear equation

Question 22

22. The process of partial decomposition result in

Answer

None of these

Answer

Partial fraction

Answer

An identity

Question 23

23. (x – 4)² = x² – 8x + 16 is

Answer

Cubic equation

Answer

Identity equation

Answer

An equation

Answer

Transcendental Equation

Question 24

24. 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 25

25. There are _________ types of rational fraction.

Question 26

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

Question 27

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

Answer

Co-efficient

Question 28

28. 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 29

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

Answer

A proper fraction

Answer

An improper fraction

Answer

Algebraic equation

Question 30

30. Partial fractions of 1/x² -1 are equivalent to

Answer

Ax+B/x²-1

Answer

A/x+1 + B/x-1

Question 31

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

Answer

A/x-1 + B/(x-1)² + C/(x-1)³

Answer

Ax+B/x-1 + C/(x-1)² + D/(x-1)³

Answer

A/x-1 + Bx+C/(x-1)² + D/(x-1)³

Answer

A/x+1 + B/(x+1)² + C/(x+1)³

Question 32

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

Question 33

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

Answer

4/3(x-4) – 1/3(x-1)

Answer

3/x – 2/x+1

Answer

2/3(x-2) – 4/3(x+2)

Answer

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

Question 34

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

Answer

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

Answer

None of these

Answer

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

Answer

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

Question 35

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

Answer

None of these

Answer

a² – c² = ab

Answer

a² – c² = – ab

Answer

a² + c² = – ab

Question 36

36. 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 37

37. Partial fractions of x/(x+a)(x+b)(x+c) will be of the form

Answer

None of these

Answer

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

Answer

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

Answer

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

Question 38

38. 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 39

39. 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 40

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

Answer

A/cx+d + bx/ex+f

Answer

None of these

Answer

A/cx+d + Bx/(ex+f)²

Answer

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

Question 41

41. 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 42

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

Answer

Improper fraction

Answer

Algebric equation

Answer

A proper fraction

Question 43

43. 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 44

44. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = 0, B = 2

Answer

A = -1, B = 1

Answer

A = x, B = 1

Answer

A = x-1, B = x + 1

Question 45

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

Answer

None of these

Answer

In equality

Question 46

46. 9x²/x³¯¹ is a fraction.

Answer

Proper fraction

Answer

Rational fraction

Answer

None of these

Answer

Improper fraction

Question 47

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

Answer

None of these

Answer

A/x+1 + Bx+C/x²+1

Answer

A/x+1 + B/x²+1

Answer

A/x-1 + B/x²+1

Question 48

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

Question 49

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

Answer

None of these

Answer

(Ax+B)(x²+x+1)+C(x²+x+1)²

Answer

A/x²+x+1 + B/(x²+x+1)²

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Question 50

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

Answer

A = 1, B = 3

Answer

A = 4, B = 3

Answer

A = 2, B = 3

Answer

A = 1, B = 5

Question 51

51. 1/(x+3)(x+2) =

Answer

1/x-3 – 1/x-2

Answer

1/x+3 – 1/x+2

Answer

None of these

Answer

1/x²-3 – 1/x²-2

Question 52

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

Answer

Multiplication

Answer

Subtraction

Question 53

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

Question 54

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

Answer

Algebric equation

Answer

None of these

Question 55

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

Answer

All values of x

Answer

Two values of x

Answer

One value of x

Answer

None of these

Question 56

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

Answer

A/x+1 + Bx+C/x²-x+1

Answer

None of these

Answer

A/x-1 – B/x²-x+1

Answer

A/x+1 – B/x²-x+1

Question 57

57. The value of k (k > 0) for which the equation x² – 8x + k = 0 both will have real roots is

Question 58

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

Answer

An improper fraction

Answer

Algebric relation

Answer

A proper fraction

Question 59

59. 2x-5/x²+4 is ___________ rational fraction

Answer

Conditional

Answer

None of these

Question 60

60. 1/(x²+5)(x²+5) =

Answer

None of these

Answer

1/x²+4 – 1/x²-5

Answer

1/x²+4 – 1/x²+5

Answer

1/x²-4 – 1/x²+5

Question 61

61. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

Rational fraction

Answer

Proper rational fraction

Answer

None of these

Answer

Improper rational fraction

Question 62

62. 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 63

63. 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 64

64. (x – 4)² = x² + 8x + 16 is

Answer

A transcendental equation

Answer

Cubic equation

Answer

An identity

Answer

An equation

Answer 182

Rational fraction

Answer 183

Combined fraction

Answer 184

None of these

Answer 185

Partial fraction

Answer 186

Algebric equation

Answer 187

Algebric relation

Answer 188

A/cx+d + B/cx+d

Answer 189

A/cx+d + B/(cx+d)²

Answer 190

None of these

Answer 191

Ax+B/(cx+d)²

Answer 192

None of these

Answer 193

Combined fraction

Answer 194

Improper fraction

Answer 195

Partial fraction

Answer 196

P = 1, q = -1

Answer 197

P = -2, q = 1

Answer 198

P = 1, q = 1

Answer 199

P = 2, q = 1

Answer 200

3/x+2 – 7/x-9

Answer 201

3/x-2 + 7/x+9

Answer 202

3/x+2 + 7/x-9

Answer 203

3/x-2 – 7/x+9

Answer 204

Algebric relation

Answer 205

A/x+1 + Bx+0/x²-1

Answer 206

A/x+1 + B/(x+1)² + C/x-1

Answer 207

None of these

Answer 208

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

Answer 209

A = x – 1, B = x + 1

Answer 210

A = x, B = 1

Answer 211

A = -1, B = 1

Answer 212

A = 0, B = 2

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