Class 10 Maths Chapter 3 Variations MCQs - MCQs

These Class 10 Maths Chapter 3 Variations MCQs are prepared based on the FBISE syllabus. This chapter includes direct variation, inverse variation, and joint variation. These MCQs help students practice important concepts and prepare for exams effectively. Each question includes the correct answer for self-assessment. ← Go to Chapter 2 Go to Chapter 4 →

1. If y varies directly as x, then:

A) y = kx B) y = k/x C) y = x + k D) y = x – k

2. If y varies inversely as x, then:

A) y = kx B) y = k/x C) y = x² D) y = x + k

3. In direct variation, y/x is:

A) Variable B) Zero C) Constant D) Infinite

4. In inverse variation, xy is:

A) Variable B) Zero C) Undefined D) Constant

5. If y ∝ x and y=10 when x=2, k is:

A) 5 B) 2 C) 10 D) 20

6. If y ∝ 1/x and y=4 when x=2, k is:

A) 2 B) 4 C) 8 D) 16

7. If y ∝ x and x doubles, y becomes:

A) Half B) Double C) Same D) Zero

8. If y ∝ 1/x and x doubles, y becomes:

A) Half B) Double C) Same D) Zero

9. Joint variation means:

A) One variable B) Two variables inversely C) Two or more variables directly D) No relation

10. If z ∝ xy, then:

A) z = x+y B) z = x/y C) z = x-y D) z = kxy

11. If y ∝ x and y = 15 when x = 3, then y when x = 5 is:

A) 20 B) 25 C) 10 D) 30

12. If y ∝ 1/x and y = 6 when x = 2, then y when x = 3 is:

A) 6 B) 3 C) 4 D) 9

13. If y varies directly as x, graph is:

A) Straight line through origin B) Curve C) Circle D) Parabola

14. If y varies inversely as x, graph is:

A) Straight line B) Circle C) Parabola D) Rectangular hyperbola

15. If y ∝ x², then:

A) y = kx B) y = kx² C) y = k/x D) y = k + x

16. If z ∝ x/y, then:

A) z = kx/y B) z = kxy C) z = k/x D) z = x+y

17. If y = kx and k = 4, x = 3 then y is:

A) 7 B) 10 C) 12 D) 1

18. If y = k/x and k = 12, x = 4 then y is:

A) 2 B) 3 C) 4 D) 6

19. If y ∝ x and x increases 3 times, y becomes:

A) Same B) Half C) Double D) Three times

20. If y ∝ 1/x and x becomes 4 times, y becomes:

A) 1/4 B) 4 C) Same D) 2

21. If y ∝ x and y = 8 when x = 2, then k =

A) 2 B) 4 C) 6 D) 8

22. If y ∝ 1/x and y = 5 when x = 2, then k =

A) 5 B) 2.5 C) 10 D) 7

23. If y ∝ x and y = 18 when x = 6, then y when x = 10 is:

A) 30 B) 20 C) 25 D) 36

24. If y ∝ 1/x and y = 12 when x = 3, then y when x = 6 is:

A) 12 B) 8 C) 10 D) 6

25. If z ∝ xy and z = 24 when x = 2, y = 3, then k =

A) 2 B) 4 C) 6 D) 12

26. If z ∝ xy and k = 2, x = 3, y = 4 then z =

A) 24 B) 12 C) 6 D) 48

27. If z ∝ x/y and z = 10 when x = 5, y = 2 then k =

A) 2 B) 3 C) 4 D) 5

28. If y ∝ x² and y = 16 when x = 2, then k =

A) 2 B) 4 C) 8 D) 16

29. If y ∝ x² and k = 3, x = 2 then y =

A) 6 B) 8 C) 10 D) 12

30. If y ∝ 1/x² then:

A) y = k/x² B) y = kx² C) y = kx D) y = x+k

31. If y ∝ 1/x² and y = 8 when x = 2, then k =

A) 8 B) 16 C) 32 D) 4

32. If y ∝ 1/x² and k = 32, x = 4 then y =

A) 4 B) 2 C) 8 D) 16

33. If y ∝ x and passes through origin, constant term is:

A) 0 B) 1 C) k D) x

34. In direct variation, ratio y/x is called:

A) Variable B) Function C) Product D) Constant of variation

35. In inverse variation, xy is:

A) Variable B) Constant C) Zero D) Infinite

36. If y ∝ x and x = 0 then y =

A) k B) 1 C) 0 D) Undefined

37. If y ∝ 1/x and x = 0 then y =

A) Undefined B) 0 C) 1 D) k

38. Direct variation graph is:

A) Circle B) Curve C) Hyperbola D) Straight line

39. Inverse variation graph is:

A) Straight line B) Parabola C) Hyperbola D) Circle

40. If y ∝ x and k = 7, x = 3 then y =

A) 10 B) 21 C) 14 D) 7

41. If y ∝ 1/x and k = 18, x = 6 then y =

A) 3 B) 6 C) 9 D) 2

42. If y ∝ x² and x doubles, y becomes:

A) Double B) Half C) Four times D) Same

43. If y ∝ 1/x² and x doubles, y becomes:

A) Double B) 1/4 C) Same D) Four times

44. If z ∝ xyz, relation is:

A) Joint variation B) Inverse C) Linear D) None

45. If y ∝ x and x=1 then y =

A) 1 B) 0 C) x D) k

46. If y ∝ 1/x and x=1 then y =

A) 1 B) 0 C) k D) x

47. If y ∝ x² and x = 3, k = 2 then y =

A) 12 B) 18 C) 9 D) 6

48. If y ∝ 1/x² and x = 2, k = 8 then y =

A) 2 B) 4 C) 8 D) 16

49. If z ∝ xy and x doubles, y same then z becomes:

A) Half B) Same C) Zero D) Double

50. If z ∝ x/y and x doubles, y doubles then z becomes:

A) Double B) Same C) Half D) Zero

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