9306602836

Quadratic Equation

Practice Sheet-5

By

Aashish Arora

9306602836

1. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 4x – 9y – √16 = 0
II. 2x + 3y + √3364 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

2. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 6x + 5y = √2025
II. 4x – 3y = √7569
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

3. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 3y = y2 – 131
II. 3y2 + 4y = 3x2 + 333
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

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(d) x ≥ y
(e) x ≤ y

4. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. y – 3y = 522 – x
2 2

II. x2 + y2 – 7y = 438
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

5. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 4x = 96
II. x2 + 5y = 79
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

6. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. y2 + 54 = 15y

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II. y2 + 3x = 48
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

7. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 1 + (36/x) + (308/x2) = 0
II. y2 + 6y – 112 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

8. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x – (252/x) – 9 = 0
II. y2 – 47y + 546 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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9. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2 – (29/x) + (104/x2) = 0
II. 4y2 – 44y + 117 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

10. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2 – (5/x) – (42/x2) = 0
II. 2y + 25 + (63/y) = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

11. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (y + 12)2 = 625
II. x + 7 = – √900
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

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(d) x ≥ y
(e) x ≤ y

12. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (x – 8)2 = 289
II. y + 25 = √256
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

13. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x3 – 93 = x3 + 2015
II. y2 – 2y – 168 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

14. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 15x – 7y = 0

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II. 3y3 = 3993

(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

15. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (x – 5)2 = 6x – 38
II. (y + 3)2 = 16y – 15
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

16. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (x + 4)2 = 19x – 8
II. (y – 6)2 = 10y – 76
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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17. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 10x + 24 = 0
II. (12/x) + (6/y) = 5
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

18. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (3/y) + (12/x) = 1
II. y2 – 9y – 90 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

19. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – (64)(2/3)x + 63 = 0
II. y2 – (32 – 12)y – 16 = 12 – 5y
(a) x > y
(b) x < y

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(c) x = y or the relationship cannot be established

(d) x ≥ y
(e) x ≤ y

20. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 + (6)2x + 112 = 13x
II. y2 – (33 – 5)y + 172 – 132 = 3
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

21. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 180x + 8019 = 0
II. y2 – 145y + 5200 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

22. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

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I. x2 – 210x + 10625 = 0
II. y2 – 210y + 10989 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

23. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 212x + 11211 = 0
II. y2 – 222y + 10800 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

24. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 1100x + 100899 = 0
II. y2 – 1100y + 99099 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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25. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 150x + 5525 = 0
II. y2 – 150y + 4725 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

26. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 + 90x – 1111 = 0
II. y2 – 90y + 1496 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

27. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (4/x) – (6/y) – 1 = 0
II. 8xy – 6xy – 24 = 0
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

28. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (5/x) + (2/y) + 3 = 0
II. 6xy – 48 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

29. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 9x2 = 144
II. y + x3 = 100
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

30. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

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I. 3x2 = 147
II. x3 – y = 340
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

31. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 7√x = √784
II. y3 = 20x – x2
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

32. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5√x = √225
II. y3 = (4x)2 + 5x – 10
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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33. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (x – 10)2 + y2 + 75 = 20y
II. x2 – 20x + 84 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

34. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (x – 12)2 + y2 + 375 = 40y
II. x2 – 24x + 128 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

35. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. √𝟖𝐱 + 𝟗 + 𝟑 = 𝐱
II. y + (84/y) = 20
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
(35)

36. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. √𝟓𝐱 + 𝟏𝟔 + 𝟒 = 𝐱
II. y + (168/y) = 29
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

37. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (41/y) – (19/y2) = (59/y2) + (28/y)
II. x2 – 5x – 6 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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38. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (35/y) – (20/y2) = (45/y2) + (22/y)
II. x2 – 6x – 55 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

39. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (5x + 4) × (5x – 4) = 30x
II. 10y2 + 31y + 3 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

40. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (8x + 3) × (8x – 3) = 16x – 1
II. 6y2 – 17y + 5 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

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(d) x ≥ y
(e) x ≤ y

41. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.5x2 = (512000)(1/3) × x
II. y2 = √10000
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

42. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.25x2 = 70x
II. y2 = √20736
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

43. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (15/√x) = √x – (13/√x)
II. y2 – 30y + 221 = 0

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(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

44. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (20/√x) = √x – (12/√x)
II. y2 – 28y + 180 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

45. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x + (6/x) = 7
II. y2 – 9y + 14 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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46. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x + (10/x) = 9
II. y2 – 8y + 12 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

47. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 + y2 + 400 = 26x + 32y
II. x2 – 26x + 160 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

48. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 1 + (24/x2) = (11/x)
II. y2 – 20y +75 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

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(d) x ≥ y
(e) x ≤ y

49. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between m and n and choose the correct option.
I. m + (24/m) = 10
II. m2 – 3m = 12n
(a) m > n
(b) m < n
(c) m = n or the relationship cannot be established
(d) m ≥ n
(e) m ≤ n

50. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between p and q and choose the correct option.
I. (p + q)2 – 10 = q2
II. 12pq = 4pq + 24
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

9306602836

Quadratic Equation

Practice Sheet-4

By

Aashish Arora

9306602836

1. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 14√2 × x + 90 = 0
II. y2 – 11√3 × y + 84 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

2. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟐𝟓√𝟓 𝐱 + 𝟔𝟑𝟎 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟐𝟐√𝟑 𝐲 + 𝟑𝟔𝟎 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

3. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟑√𝟑 𝐱 − 𝟏𝟐𝟎 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟐𝟒√𝟐 𝐲 + 𝟐𝟕𝟎 = 𝟎
(a) x > y
(b) x < y

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(c) x = y or the relationship cannot be established

(d) x ≥ y
(e) x ≤ y

4. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝟏𝟐𝐱 𝟐 − 𝟖√𝟓 𝐱 + 𝟓 = 𝟎
𝐈𝐈. 𝟓𝐲 𝟐 − 𝟗𝐲 + 𝟒 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

5. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟖√𝟑 𝐱 + 𝟒𝟓 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟏𝟎√𝟐 𝐲 + 𝟑𝟐 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

6. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

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𝐈. √𝟑𝐱 𝟐 − 𝟒𝟓𝐱 + 𝟏𝟓𝟎√𝟑 = 𝟎

II. (y – 30)2 + 200 = 15y
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

7. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. √𝟓𝐱 𝟐 − 𝟓𝟎𝐱 + 𝟏𝟎𝟓√𝟓 = 𝟎
II. (y – 20)2 + 195 = 12y
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

8. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝟓√𝟑𝐱 𝟐 − 𝟕𝟖𝐱 + 𝟗𝟔√𝟑 = 𝟎
II. (2y – 15)2 = y2 – 150 + 10y
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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9. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟖√𝟐 𝐱 + 𝟑𝟎 = 𝟎
𝟐
𝐈𝐈. 𝐲 − 𝟗√𝟑 𝐲 + 𝟒𝟐 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

10. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟓√𝟓 𝐱 + 𝟑𝟎 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟕√𝟐 𝐲 + 𝟐𝟒 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

11. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝟓𝐱 𝟐 − (𝟏𝟓 − √𝟏𝟕) 𝐱 + 𝟑√𝟏𝟕 = 𝟎
𝐈𝐈. 𝟑𝐲 𝟐 − (𝟔 + √𝟏𝟕) 𝐲 + 𝟐√𝟏𝟕 = 𝟎
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

12. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝟓𝐱 𝟐 − (𝟑√𝟏𝟑 + 𝟓√𝟏𝟑) 𝐱 + 𝟑𝟗 = 𝟎
𝐈𝐈. 𝟒𝐲 𝟐 − (𝟐√𝟏𝟎 + 𝟓√𝟏𝟎) 𝐲 + 𝟐𝟓 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

13. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟒√𝟓 𝐱 − 𝟏𝟎𝟓 = 𝟎
𝐈𝐈. 𝐲 𝟐 + 𝟏𝟑√𝟑 𝐲 + 𝟏𝟐𝟎 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

14. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟓√𝟑 𝐱 − 𝟒𝟐 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟏𝟔√𝟓 𝐲 + 𝟑𝟏𝟓 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

15. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟏𝟏√𝟓 𝐱 + 𝟏𝟐𝟎 = 𝟎
𝐈𝐈. 𝐲 𝟐 + √𝟓 𝐲 − 𝟔𝟎 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

16. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 + 𝟐√𝟐 𝐱 − 𝟑𝟎 = 𝟎
𝐈𝐈. 𝐲 𝟐 − 𝟖√𝟐 𝐲 + 𝟑𝟎 = 𝟎
(a) x > y
(b) x < y

9306602836

(c) x = y or the relationship cannot be established

(d) x ≥ y
(e) x ≤ y

17. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝐈. 𝐱 𝟐 − 𝟑√𝟕 𝐱 − 𝟏𝟐𝟔 = 𝟎
𝐈𝐈. 𝐲 𝟐 + √𝟕 𝐲 − 𝟖𝟒 = 𝟎
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

18. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + y = 5y2 + x
II. y – x = (7/60)
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

19. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 20x2 – y = 20y2 + x

9306602836

II. x + y = (1/12)
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

20. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 43x + 195 = 0
II. 8y2 = 338
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

21. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x + 35 ÷ 27 = (4913)1/3
II. y2 – 16y + 125 = 4y + 25
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

22. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x3 + 17 = 34
II. 2y2 – 3y + 26 = 10y + 6
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

23. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 9x2 = 225
II. 2y2 – 19y + 45 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

24. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 22x – 55.36 = 6x + 40.64
II. √𝐲 + 𝟐𝟏𝟏 + √𝟏𝟐𝟏 = √𝟔𝟕𝟔
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

9306602836

(d) x ≥ y
(e) x ≤ y

25. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 = 784
II. y3 = 32768
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

26. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x3 + 3x + 203 = 2 × (1.5x + 1200)
II. x + 2xy = 403
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

27. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 19 – (84/x) = x
II. y = 23 – (120/y)

9306602836

(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

28. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x3/2 = √1225 – √729
II. y = (106/y2) – (42/y2)
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

29. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 133 = 156
II. y + √64 = √625
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

30. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝟖𝟑 + 𝟔𝟑
𝐈. 𝐱 𝟑 =
𝟐
II. 15y3 = 600 + 13y3
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

31. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 12x3 = 750 + 9x3
II. 4y3 = 73 + 93
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

32. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝟏𝟑𝟑 − 𝟓𝟑
𝐈. 𝐱 𝟑 =
𝟖
II. 18y3 = 1134 + 12y3
(a) x > y

9306602836

(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

33. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 8x3 = 123 – 63
II. 10y3 – 756 = 6y3
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

34. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (√x)3 = √4096
II. y2 + x2 = 28y + 64
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

35. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

9306602836

I. x2 – 14x = xy – 14y
II. (y9)(1/3) = (6√6)2
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

36. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.3x2 + 2.4x – 14.4 = 0
II. 4y2 = 256 – 48y
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

37. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.5x2 – x – 24 = 0
II. 4y2 = – (448 – 88y)
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

38. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.4x2 + 8.4x + 39.2 = 0
II. 6y2 = 30y + 504
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

39. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.4x2 – 9.6x + 54 = 0
II. 8y2 = 8y + 576
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

40. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 154x + 5445 = 0
II. y2 – 220y + 11979 = 0
(a) x > y

9306602836

(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

41. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 110x + 2904 = 0
II. y2 – 290y + 17776 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

42. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 200x + 9375 = 0
II. y2 – 125y + 3750 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

43. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. (– x) = (– 13824)1/3
II. y2 – 53y + 696 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

44. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 39x + 324 = 0
II. (– y) = (– 17576)1/3
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

45. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝟔𝟑 + 𝟒𝟑
𝐈. 𝐱 𝟑 =
𝟐
II. 15y3 = 450 + 12y3
(a) x > y
(b) x < y

9306602836

(c) x = y or the relationship cannot be established

(d) x ≥ y
(e) x ≤ y

46. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x + 0.3 = √2.25
II. y + x2 = 2.94
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

47. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x + 25 ÷ 4 = (5832)1/3
II. y2 – 30y + 169 = 25 – 6y
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

48. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x3 – 104 = 54

9306602836

II. 2y2 – 15y + 75 = 8y + 12

(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

49. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
𝟓√𝐱 𝟓
𝐈. 𝟐 √𝐱 − =
𝟔 𝟐√𝐱
𝟐√𝐲 √𝐲 𝟏
𝐈𝐈. + =
𝟓 𝟑 √𝐲
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

50. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 10.4x + 6.3 = 0
II. 5y2 – 9y + 2.8 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y

9306602836

1. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 6x2 – 25x + 24 = 0
II. 9y2 – 54y + 80 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

2. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 – 13x – 84 = 0
II. 4y2 – 11y – 69 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

3. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 6x2 + 7x + 2 = 0
II. 15y2 + 11y + 2 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

9306602836

(d) x ≥ y
(e) x ≤ y

4. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 7x2 – 19x + 10 = 0
II. 7y2 – 5y – 18 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

5. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + 18x + 16 = 0
II. 9y2 + 27y + 20 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

6. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 9x2 – 9x + 2 = 0

9306602836

II. 9y2 – 18y + 8 = 0

(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

7. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 49x2 – 14x – 24 = 0
II. 49y2 + 56y + 15 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

8. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 15x2 + 8x – 16 = 0
II. 12y2 + 31y – 30 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

9. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 16x2 – 16x – 21 = 0
II. 10y2 + 3y – 18 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

10. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 12x2 – 47x + 45 = 0
II. 6y2 – 37y + 42 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

11. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 19x2 – 152x + 228 = 0
II. 17y2 – 153y + 238 = 0
(a) x > y

9306602836

(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

12. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 45x2 + 83x + 28 = 0
II. 12y2 + 53y + 56 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

13. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 20x2 – 9x + 1 = 0
II. 12y2 – 7y + 1 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

14. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

9306602836

I. 9x2 + 17x – 30 = 0
II. 12y2 – 17y + 6 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

15. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 24x2 – x – 65 = 0
II. 54y2 – 123y + 65 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

16. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 9x2 – 75x + 100 = 0
II. 28y2 – 56y + 21 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

17. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 8x2 – 6x – 35 = 0
II. 12y2 + 16y – 3 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

18. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 6x2 – 7x – 20 = 0
II. 7y2 – 8y – 12 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

19. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 12x2 + 41x + 35 = 0
II. 9y2 + 29y + 22 = 0
(a) x > y

9306602836

(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

20. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + 19x + 12 = 0
II. 16y2 + 20y + 6 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

21. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 12p2 + 11p + 2 = 0
II. 25q2 + 15q + 2 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

22. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

9306602836

I. 6p2 + 25p + 24 = 0
II. 12q2 + 13q + 3 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

23. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 12p2 – p – 1 = 0
II. 20q2 + 41q + 20 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

24. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 10p2 + 33p + 27 = 0
II. 5q2 + 19q + 18 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

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25. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 15p2 + 29p – 14 = 0
II. 6q2 – 5q – 25 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

26. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 56p2 + 37p + 6 = 0
II. 66q2 – 13q – 4 = 0
(a) p > q
(b) p < q
(c) p = q or the relationship cannot be established
(d) p ≥ q
(e) p ≤ q

27. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 4x2 – 51x – 135 = 0
II. 4y2 – 27y + 45 = 0
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

28. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 9x2 = 576
II. 2y2 – 19y + 45 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

29. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 6x2 – 41x + 70 = 0
II. 16y2 – 104y + 165 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

30. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.

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I. 5x2 = 27x – 28
II. 8y2 – 14y + 5 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

31. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + 18x + 16 = 0
II. y2 = y + 6
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

32. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 3x – 170 = 0
II. y2 – 22y + 120 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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33. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + x – 18 = 0
II. y2 – 5y – 6 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

34. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 48 = 2x
II. y2 + 16y + 48 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

35. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 + 36x + 100 = 8x – 92
II. 2y2 + 17y – 240 = 0
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

36. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 10.4x + 6.3 = 0
II. 5y2 – 9y + 2.8 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

37. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. y2 + 0.2y – 3.6 = 0
II. 5x2 + 11x – 36 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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38. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.8x2 – 3.8x + 3.9 = 0
II. 2y2 – 5.6y + 3.9 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

39. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 + 9x – 70 = 0
II. y2 + 34y + 280 = 0
(1) x > y
(2) x < y
(3) x = y or the relationship cannot be established
(4) x ≥ y
(5) x ≤ y

40. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 4x2 – 25x + 36 = 0
II. 2y2 – 11.9y + 11.4 = 0
(a) x > y

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(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

41. In the questions, two equations I and II are given.

You have to solve both the equations to establish the
correct relation between x and y and choose the correct
option.
I. 6x2 – 33x – 39 = 0
II. 4y2 – 56y + 195 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

42. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 8x2 – 10x – 63 = 0
II. 8y2 + 26y – 99 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

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43. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 3x2 + 2.3x – 10.2 = 0
II. 100y2 – 340y + 289 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

44. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.6x2 – 3.7x + 4.5 = 0
II. 0.4y2 – 1.3y + 0.9 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

45. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 0.6x2 + 1.4x – 3 = 2.1x – 1
II. 5y2 – 17y + 14 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

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(d) x ≥ y
(e) x ≤ y

46. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 1.6x2 + 2.4x – 2.5 = x – 1
II. 4y2 + 20y + 21 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

47. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 28x2 – x – 2 = 0
II. 3.2y2 – 3.6y + 0.9 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

48. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 1.7x2 + 0.4x + 1.7 = 0.5x2 + 1.2x + 1.6
II. 1.7y2 – 0.5y – 0.6 = 1.2y – 0.1y2 – 1

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(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

49. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 5x2 + (17x/6) – 1.5 = x2 + 2x – (4/3)
II. 5y2 – (5y/3) + (16/9) = (5y2/9) – (2y/9) + (5/3)
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

50. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. 2x2 – 4x = (5/7) + (5x/7)
II. 2y2 + (25y/7) + (6/7) = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

9306602836

Quadratic Equation

Practice Sheet-2

By

Aashish Arora

9306602836

1. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 11x + 28 = 0
II. y2 – 11y + 30 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

2. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 13x + 40 = 0
II. y2 – 14y + 40 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y

3. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 23x + 132 = 0
II. y2 – 25y + 156 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established

(d) x ≥ y
(e) x ≤ y

4. In the questions, two equations I and II are given. You

have to solve both the equations to establish the correct
relation between x and y and choose the correct option.
I. x2 – 35x + 304 = 0
II. y2 – 28y + 195 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot