Mathematics Partial Fractions Online Test

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Question 1

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

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

Answer

None of these

Question 2

2. 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 3

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

Answer

Ax+B/x²-1

Answer

A/x+1 + B/x-1

Question 4

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

Answer

Co-efficient

Question 5

5. 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 6

6. x + 3/x = 4 is

Answer

A transcendental equation

Answer

An equation

Answer

Cubic equation

Answer

An identity

Question 7

7. 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 8

8. x²–3/3x+1 is

Answer

None of these

Answer

Rational fraction

Answer

Improper rational fraction

Answer

Proper fraction

Question 9

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

Answer

None of these

Answer

Ax+B/(x²+2)² + C/(x+1)²

Answer

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

Answer

A/(x²+2)² + B/(x+1)²

Question 10

10. 2x-5/x²+4 is ___________ rational fraction

Answer

Conditional

Answer

None of these

Question 11

11. 1/(x – 3)(x – 2) =

Answer

1/x²-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Answer

1/x-3 – 1/x-2

Answer

1/x+3 – 1/x+2

Question 12

12. (x+2)² = x² + 4x + 4 is

Answer

A linear equation

Answer

A cubic equation

Answer

A quadratic equation

Answer

None of these

Question 13

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

Question 14

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

Answer

None of these

Answer

A/x-1 + B/x²+1

Answer

A/x+1 + Bx+C/x²+1

Answer

A/x+1 + B/x²+1

Question 15

15. 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 16

16. If x+p/(x-1)(x-3) = q/x-1 + 2/x-3, the value of P and Q are

Answer

P = 1, q = -1

Answer

P = -2, q = 1

Answer

P = 2, q = 1

Answer

P = 1, q = 1

Question 17

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

Answer

None of these

Answer

In equality

Question 18

18. Partial fractions of x²+1/x²+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

None of these

Question 19

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

Answer

Algebric relation

Answer

Algebric equation

Question 20

20. A relation in which the equality is true for any value of unknowns is called an

Answer

Algebric relation

Answer

Algebric equation

Question 21

21. There are _________ types of rational fraction.

Question 22

22. (x – 4)² = x² – 8x + 16 is

Answer

Cubic equation

Answer

Transcendental Equation

Answer

An equation

Answer

Identity equation

Question 23

23. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = -1, B = 1

Answer

A = x, B = 1

Answer

A = 0, B = 2

Answer

A = x-1, B = x + 1

Question 24

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

Answer

None of these

Answer

Re placed factor

Answer

Irreducible factor

Answer

Reducible factor

Question 25

25. 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 26

26. 4x = 5 is ?

Answer

Conditional

Question 27

27. 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 28

28. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x – 1, B = x + 1

Answer

A = -1, B = 1

Answer

A = 0, B = 2

Answer

A = x, B = 1

Question 29

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

Answer

All values of x

Answer

Two values of x

Answer

None of these

Answer

One value of x

Question 30

30. 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 31

31. 1/(x²+5)(x²+5) =

Answer

1/x²-4 – 1/x²+5

Answer

1/x²+4 – 1/x²+5

Answer

None of these

Answer

1/x²+4 – 1/x²-5

Question 32

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

Answer

A/x+1 + B/(x+1)² + C/x-1

Answer

A/x+1 + Bx+0/x²-1

Answer

None of these

Answer

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

Question 33

33. 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 34

34. 9x²/x³¯¹ is a fraction.

Answer

Improper fraction

Answer

None of these

Answer

Proper fraction

Answer

Rational fraction

Question 35

35. 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 36

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

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

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

Question 37

37. (x – 4)² = x² + 8x + 16 is

Answer

An equation

Answer

A transcendental equation

Answer

Cubic equation

Answer

An identity

Question 38

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

Answer

a² – c² = ab

Answer

a² – c² = – ab

Answer

a² + c² = – ab

Answer

None of these

Question 39

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

Question 40

40. (x + 2)² = x² + 4x + 4 is

Answer

Cubic equation

Answer

An identity

Answer

An equation

Answer

Linear equation

Question 41

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

Answer

Algebric equation

Answer

None of these

Question 42

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

Answer

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

Answer

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

Answer

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

Answer

3/x – 2/x+1

Question 43

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

Answer

A/cx+d + bx/ex+f

Answer

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

Answer

None of these

Answer

A/cx+d + Bx/(ex+f)²

Question 44

44. Rotational fraction are of

Answer

Four types

Answer

Three types

Question 45

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

Question 46

46. 1/(x+3)(x+2) =

Answer

1/x²-3 – 1/x²-2

Answer

1/x+3 – 1/x+2

Answer

1/x-3 – 1/x-2

Answer

None of these

Question 47

47. 2x = 3 is a conditional equation it is true for

Question 48

48. 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 49

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

Answer

Multiplication

Answer

Subtraction

Question 50

50. (ax+b)/(cx +d)² =

Answer

A/cx+d + B/(cx+d)²

Answer

Ax+B/(cx+d)²

Answer

None of these

Answer

A/cx+d + B/cx+d

Question 51

51. Algebric equation can be divided into

Answer

Four kinds

Answer

Three kinds

Question 52

52. x + 3/x = 4 is

Answer

Cubic equation

Answer

An equation

Answer

An identity

Answer

A transcendental equation

Question 53

53. 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

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

Question 54

54. 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 55

55. 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 56

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

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. 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 59

59. 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 = 1, B = 5

Answer

A = 2, B = 3

Question 60

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

Answer

A proper fraction

Answer

An improper fraction

Answer

Algebraic equation

Question 61

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

Answer

2/3(x-2) – 4/3(x+2)

Answer

3/x – 2/x+1

Answer

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

Answer

4/3(x-4) – 1/3(x-1)

Question 62

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

Answer

Combined fraction

Answer

Partial fraction

Answer

None of these

Answer

Improper fraction

Question 63

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

Answer

True Sentence

Answer

False Sentence

Answer

In Equation

Question 64

64. 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)

Answer 185

Rational fraction

Answer 186

Combined fraction

Answer 187

Partial fraction

Answer 188

None of these

Answer 189

2x²–5/x²+4

Answer 190

2x–5/x²+4

Answer 191

None of these

Answer 192

9x⁴/x³–1

Answer 193

An identity

Answer 194

Partial fraction

Answer 195

None of these

Answer 196

Algebric relation

Answer 197

3/x+2 – 7/x-9

Answer 198

3/x-2 + 7/x+9

Answer 199

3/x+2 + 7/x-9

Answer 200

3/x-2 – 7/x+9

Answer 201

Algebraic equation

Answer 202

A proper fraction

Answer 203

An improper fraction

Answer 204

A/x+2 + B/(x-2)²

Answer 205

A/x+2 + B/x-2

Answer 206

A/x-2 + B/(x+2)²

Answer 207

None of these

Answer 208

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

Answer 209

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

Answer 210

None of these

Answer 211

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

Answer 212

Irrational

Total Questions:	75
Time Allowed:	40 Minutes
Total Marks:	75
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Partial Fractions Question and Answer

Math Partial Fractions Practice Test Online With Explanation

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How to Score High in Mathematics Partial Fractions Online Test?

Key Preparation Tips:

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