Mathematics Partial Fractions Online Test

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Question 1

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

Question 2

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

Answer

P = 2, q = 1

Answer

P = -2, q = 1

Answer

P = 1, q = -1

Answer

P = 1, q = 1

Question 3

3. (ax+b)/(cx +d)² =

Answer

None of these

Answer

Ax+B/(cx+d)²

Answer

A/cx+d + B/cx+d

Answer

A/cx+d + B/(cx+d)²

Question 4

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

Answer

A proper fraction

Answer

An improper fraction

Answer

Algebric relation

Question 5

5. Algebric equation can be divided into

Answer

Three kinds

Answer

Four kinds

Question 6

6. 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 7

7. 2x-5/x²+4 is ___________ rational fraction

Answer

Conditional

Answer

None of these

Question 8

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

Answer

All values of x

Answer

None of these

Answer

One value of x

Answer

Two values of x

Question 9

9. x + 3/x = 4 is

Answer

An identity

Answer

A transcendental equation

Answer

An equation

Answer

Cubic equation

Question 10

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

Answer

A/x+1 + B/x-1

Answer

Ax+B/x²-1

Question 11

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

Answer

A/(x²+2)² + B/(x+1)²

Answer

None of these

Answer

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

Answer

Ax+B/(x²+2)² + C/(x+1)²

Question 12

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

Answer

In equality

Answer

None of these

Question 13

13. 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 14

14. Rotational fraction are of

Answer

Four types

Answer

Three types

Question 15

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

Answer

An improper fraction

Answer

A proper fraction

Answer

Algebraic equation

Question 16

16. 1/(x+3)(x+2) =

Answer

1/x-3 – 1/x-2

Answer

1/x+3 – 1/x+2

Answer

1/x²-3 – 1/x²-2

Answer

None of these

Question 17

17. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

Proper rational fraction

Answer

Rational fraction

Answer

None of these

Answer

Improper rational fraction

Question 18

18. 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 19

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

Answer

Co-efficient

Question 20

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

Answer

A/x+1 + Bx+C/x²-x+1

Answer

A/x-1 – B/x²-x+1

Answer

Ax+B/x+1 + C/x²-x+1

Answer

A/x+1 – B/x²-x+1

Question 21

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

Question 22

22. 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 = x, B = 1

Answer

A = 0, B = 2

Question 23

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

Answer

Multiplication

Answer

Subtraction

Question 24

24. (x+2)² = x² + 4x + 4 is

Answer

None of these

Answer

A quadratic equation

Answer

A linear equation

Answer

A cubic equation

Question 25

25. x + 3/x = 4 is

Answer

Cubic equation

Answer

A transcendental equation

Answer

An identity

Answer

An equation

Question 26

26. 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+a – 1/x²+x+b]

Answer

None of these

Answer

1/a-b[1/x²+x+b +1/x²+x+a]

Question 27

27. There are _________ types of rational fraction.

Question 28

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

Answer

A/x-1 – B/x²-x+1

Answer

A/x+1 + Bx+C/x²-x+1

Answer

A/x+1 – B/x²-x+1

Answer

None of these

Question 29

29. 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 30

30. 10x-13/(x+2)(x-9) =

Answer

3/x+2 + 7/x-9

Answer

3/x-2 – 7/x+9

Answer

3/x-2 + 7/x+9

Answer

3/x+2 – 7/x-9

Question 31

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

Answer

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

Answer

None of these

Answer

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

Answer

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

Question 32

32. (x – 4)² = x² – 8x + 16 is

Answer

An equation

Answer

Cubic equation

Answer

Transcendental Equation

Answer

Identity equation

Question 33

33. 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

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Answer

A/x²+x+1 + B/(x²+x+1)²

Question 34

34. 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 35

35. The process of partial decomposition result in

Answer

None of these

Answer

Partial fraction

Answer

An identity

Question 36

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

Answer

Algebric equation

Answer

None of these

Question 37

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

Answer

Rational fraction

Answer

None of these

Answer

Combined fraction

Answer

Partial fraction

Question 38

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

Answer

4/3(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 39

39. 1/(x – 3)(x – 2) =

Answer

1/x+3 – 1/x+2

Answer

1/x²-3 – 1/x-2

Answer

1/x-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Question 40

40. 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 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. 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 43

43. 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 44

44. (x + 2)² = x² + 4x + 4 is

Answer

An identity

Answer

Cubic equation

Answer

An equation

Answer

Linear equation

Question 45

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

Question 46

46. 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 47

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

Question 48

48. 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 49

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

Answer

Algebric relation

Answer

Algebric equation

Question 50

50. 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 51

51. 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 52

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

Question 53

53. 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

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

Answer

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

Answer

None of these

Question 54

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

Answer

None of these

Answer

A/x+1 + B/(x+1)² + C/x-1

Answer

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

Answer

A/x+1 + Bx+0/x²-1

Question 55

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

Answer

Reducible factor

Answer

None of these

Answer

Re placed factor

Answer

Irreducible factor

Question 56

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

Answer

False Sentence

Answer

True Sentence

Answer

In Equation

Question 57

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

Answer

Improper fraction

Answer

Combined fraction

Answer

Partial fraction

Answer

None of these

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 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 60

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

Answer

A proper fraction

Answer

Algebraic equation

Answer

An improper fraction

Question 61

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

Answer

A/x+2 + B/x-2

Answer

A/x+2 + B/(x-2)²

Answer

A/x-2 + B/(x+2)²

Answer

None of these

Question 62

62. 4x = 5 is ?

Answer

Conditional

Question 63

63. 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 64

64. Which is a proper rational fraction?

Answer

2x²–5/x²+4

Answer

9x⁴/x³–1

Answer

None of these

Answer

2x–5/x²+4

Answer 186

Algebric equation

Answer 187

Algebric relation

Answer 188

A proper fraction

Answer 189

Improper fraction

Answer 190

Algebric equation

Answer 191

Improper rational fraction

Answer 192

Proper fraction

Answer 193

None of these

Answer 194

Rational fraction

Answer 195

A transcendental equation

Answer 196

Cubic equation

Answer 197

An identity

Answer 198

An equation

Answer 199

1/2(x–1) – 1/2(x+1)

Answer 200

1/2(x–1) + 1/2(x+1)

Answer 201

1/x²-4 – 1/x²+5

Answer 202

None of these

Answer 203

1/x²+4 – 1/x²+5

Answer 204

1/x²+4 – 1/x²-5

Answer 205

A = 4, B = 3

Answer 206

A = 1, B = 3

Answer 207

A = 2, B = 3

Answer 208

A = 1, B = 5

Answer 209

Proper fraction

Answer 210

Rational fraction

Answer 211

Improper fraction

Answer 212

None of these

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?

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