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. 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 2

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

Answer

A/x+1 + B/(x+1)² + C/x-1

Answer

None of these

Answer

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

Answer

A/x+1 + Bx+0/x²-1

Question 3

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

Answer

Algebric relation

Answer

Algebric equation

Question 4

4. 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 5

5. 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 6

6. 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 7

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

Question 8

8. (ax+b)/(cx +d)² =

Answer

A/cx+d + B/cx+d

Answer

A/cx+d + B/(cx+d)²

Answer

Ax+B/(cx+d)²

Answer

None of these

Question 9

9. x + 3/x = 4 is

Answer

Cubic equation

Answer

An equation

Answer

A transcendental equation

Answer

An identity

Question 10

10. 1/(x+3)(x+2) =

Answer

1/x+3 – 1/x+2

Answer

None of these

Answer

1/x²-3 – 1/x²-2

Answer

1/x-3 – 1/x-2

Question 11

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

Answer

A/cx+d + Bx/(ex+f)²

Answer

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

Answer

A/cx+d + bx/ex+f

Answer

None of these

Question 12

12. 2x = 3 is a conditional equation it is true for

Question 13

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

Question 14

14. 4x = 5 is ?

Answer

Conditional

Question 15

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

Question 16

16. 1/(x – 3)(x – 2) =

Answer

1/x²-3 – 1/x-2

Answer

1/x+3 – 1/x+2

Answer

1/x-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Question 17

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

Answer

None of these

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 18

18. 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 19

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

Answer

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

Answer

3/x – 2/x+1

Answer

4/3(x-4) – 1/3(x-1)

Answer

2/3(x-2) – 4/3(x+2)

Question 20

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

Answer

A/x+1 + B/x²+1

Answer

A/x-1 + B/x²+1

Answer

A/x+1 + Bx+C/x²+1

Answer

None of these

Question 21

21. (x – 4)² = x² – 8x + 16 is

Answer

An equation

Answer

Identity equation

Answer

Cubic equation

Answer

Transcendental Equation

Question 22

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

Answer

Subtraction

Answer

Multiplication

Question 23

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

Answer

Algebric equation

Answer

None of these

Question 24

24. 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 25

25. 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 26

26. Algebric equation can be divided into

Answer

Three kinds

Answer

Four kinds

Question 27

27. 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 28

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

Answer

One value of x

Answer

None of these

Answer

All values of x

Answer

Two values of x

Question 29

29. 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 30

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

Question 31

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

Answer

A/x²+x+1 + B/(x²+x+1)²

Answer

None of these

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Answer

(Ax+B)(x²+x+1)+C(x²+x+1)²

Question 32

32. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

Rational fraction

Answer

Improper rational fraction

Answer

Proper rational fraction

Answer

None of these

Question 33

33. 2x-5/x²+4 is ___________ rational fraction

Answer

None of these

Answer

Conditional

Question 34

34. 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 35

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

Answer

Algebric equation

Answer

Algebric relation

Question 36

36. There are _________ types of rational fraction.

Question 37

37. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x, B = 1

Answer

A = x-1, B = x + 1

Answer

A = -1, B = 1

Answer

A = 0, B = 2

Question 38

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

Answer

True Sentence

Answer

False Sentence

Answer

In Equation

Question 39

39. Rotational fraction are of

Answer

Three types

Answer

Four types

Question 40

40. x + 3/x = 4 is

Answer

An identity

Answer

Cubic equation

Answer

A transcendental equation

Answer

An equation

Question 41

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

Question 42

42. 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

None of these

Answer

1/a-b[1/x²+x+a – 1/x²+x+b]

Question 43

43. 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 44

44. 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 45

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

Answer

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

Answer

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

Answer

None of these

Answer

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

Question 46

46. 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 47

47. 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 48

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

Answer

A = 2, B = 3

Answer

A = 4, B = 3

Answer

A = 1, B = 3

Answer

A = 1, B = 5

Question 49

49. Which is a proper rational fraction?

Answer

2x–5/x²+4

Answer

9x⁴/x³–1

Answer

2x²–5/x²+4

Answer

None of these

Question 50

50. 9x²/x³¯¹ is a fraction.

Answer

None of these

Answer

Improper fraction

Answer

Proper fraction

Answer

Rational fraction

Question 51

51. 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 52

52. 1/(x²+5)(x²+5) =

Answer

1/x²-4 – 1/x²+5

Answer

None of these

Answer

1/x²+4 – 1/x²-5

Answer

1/x²+4 – 1/x²+5

Question 53

53. 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

None of these

Answer

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

Question 54

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

Answer

Co-efficient

Question 55

55. 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 56

56. 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 57

57. (x – 4)² = x² + 8x + 16 is

Answer

An equation

Answer

A transcendental equation

Answer

Cubic equation

Answer

An identity

Question 58

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

Answer

None of these

Answer

Combined fraction

Answer

Improper fraction

Answer

Partial fraction

Question 59

59. x²–3/3x+1 is

Answer

Proper fraction

Answer

None of these

Answer

Improper rational fraction

Answer

Rational fraction

Question 60

60. (x + 2)² = x² + 4x + 4 is

Answer

An equation

Answer

Cubic equation

Answer

Linear equation

Answer

An identity

Question 61

61. 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

None of these

Answer

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

Question 62

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

Answer

A/x+1 + B/x-1

Answer

Ax+B/x²-1

Question 63

63. The process of partial decomposition result in

Answer

None of these

Answer

An identity

Answer

Partial fraction

Question 64

64. 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

Answer 180

None of these

Answer 181

Rational fraction

Answer 182

Combined fraction

Answer 183

Partial fraction

Answer 184

None of these

Answer 185

In equality

Answer 186

Irreducible factor

Answer 187

None of these

Answer 188

Re placed factor

Answer 189

Reducible factor

Answer 190

Ax+B/(x²+2)² + C/(x+1)²

Answer 191

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

Answer 192

None of these

Answer 193

A/(x²+2)² + B/(x+1)²

Answer 194

A quadratic equation

Answer 195

A cubic equation

Answer 196

None of these

Answer 197

A linear equation

Answer 198

3/x – 2/x+1

Answer 199

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

Answer 200

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

Answer 201

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

Answer 202

An improper fraction

Answer 203

Algebric relation

Answer 204

A proper fraction

Answer 205

A = 0, B = 2

Answer 206

A = x – 1, B = x + 1

Answer 207

A = x, B = 1

Answer 208

A = -1, B = 1

Answer 209

Ax+B/x+1 + C/x²-x+1

Answer 210

A/x-1 – B/x²-x+1

Answer 211

A/x+1 – B/x²-x+1

Answer 212

A/x+1 + Bx+C/x²-x+1

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