Quadratic Equation Set 1 For SBI PO PRE

Directions (Q. 1-5): Two equations (I) and (II) are given in each question. On the basis of these
equations you have to decide the relation between ‘x’ and ‘y’ and give answer.

(1) if x > y
 (2) if x < y
(3) if x ≥ y
(4) if x ≤ y
(5) if x = y or no relation can be established between ‘x’ and ‘y’.

1. I. 6x² - 19x + 15 = 0  II. 10y² - 29y + 21 = 0

2. I. 12x² + 11x - 56 = 0  II. 4y² - 15y + 14 = 0

3. I. 3x² + 13x + 12 = 0 II. y² + 9y + 20 = 0

4. I. 8x² - 15x + 7 = 0 II. 2y² - 7y + 6 = 0

5. I. 7x - 3y = 13 II. 5x + 4y = 40




Directions (Q. 6-10): In the following questions, two equations numbered I and II are given.
You have to solve both the equations and give answer


(1) if x > y
(2) if x < y
(3) if x ≥ y
(4) if x ≤ y
(5) if x = y or no relation can be established between x and y


6. I. 2x² - 11x + 15 = 0  II. 21y² - 23y + 6 = 0

7. I. 5x² - 16x + 11= 0   II. 5y² - 3y - 2 = 0

8. I. x² + 11x + 28 = 0   II. 2y2 + 13y + 20 = 0

9. I. 6x² + 29x + 35 = 0  II. 3y2 + 19y + 30 = 0

10. I. 2x + 5y = 6     II. 5x + 11y = 9







Directions (Q.11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x > y
2) if x < y
3) if x ≥ y
4) if x ≤ y
5) if x = y or relation cannot be established between 'x' and 'y'.

11. I.  8x+y=10
   II. 4x+2y=13

12. I.  (x+3) (y+2)=12
   II. 2xy+4x+5y=11

13. I. (3x-2)/y = (3x+6)/(y+16)
   II.(x+2)/(y+4) = (x+5)/(Y+10)

14. I.  x²+20x+4=50-25x
   II. y²-10y-24=0

15. I. (x²-10x+16)/(x² -12x +24) = 2/3

   II. y²-y-20=0

Directions (Q.16-20): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x < y
2) if x > y
3) if x ≤  y
4) if x≥ y
5) if x = y, or relationship between x and y can't be established.

16. I.  6x²-49x+99=0
   II. 5y²+17y+14=0

17. I.  5x²=19x-12
   II. 5y²+11y=12

18. I.  x=(1331)⅓
   II. 2y²-21y+55=0

19. I.  5x=7y+21
   II. 11x+4y+109=0

20. I. 2x²-11x+12=0
   II. 2y²-17y+36=0




 Directions (Q.21-30): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer


1) if x ≥ y
2) if x > y
3) if x ≤ y
4) if x < y
5) if x = y,or no relation can be established between x and y

21.  I.x² + 5 x + 6 = 0
   II.y² +7 y + 12 = 0



22. I.x²+ 20 = 9x
   II.y² + 42 = 13y



23. I.2x + 3y = 14
   II. 4x + 2y = 16



24. I.x = √625
    II.y = √676



25. I. x² + 4x + 4 = 0
   II.y² – 8y + 16 = 0



26. I.x² – 19x + 84 = 0
    II.y² – 25y + 156 = 0



27. I.x³ – 468 = 1729
    II.y² – 1733 + 1564 = 0



28.  I. 9/√x + 19/√x = √x
   II.y^5 – (2×14)11/2/√y = 0



29. I.√784x + 1234 = 1486
   II. √1089y + 2081 = 2345



30. I.12/√x – 23/√x = 5√x
   II.√y/12 -5√y/12 = 1/√y





Directions (Q.31-35): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x < y
2) if x ≤ y
3) if x = y,or no relation can be established between x and y
4) if x ≥y
5) if x > y

31.  I.4x2 – 8 x + 3 = 0
   II.2y2 – 7 y + 6 = 0



32. I.x2 + x – 6 = 0
   II.2y2 – 13 y + 21 = 0



33. I.x2 – x – 6 = 0
   II.2y2 + 13y + 21 = 0



34. I.x2 = 4
    II.y2 + 6y + 9 = 0



35. I. 2x + 3y = 4
   II.3x + 2y = 11



Directions (Q.36-45): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

A) x < y
B) x > y
C) x ≥ y
D) x ≤ y
E)relationship between x and y cannot be established

36.   I      6x² + 5x + 1 = 0
    II      15y² + 8y + 1 = 0



37. I      x² + 5x + 6 = 0
  II      4y² + 24y + 35 = 0



38. I      2x² + 5x + 3 = 0
  II      y² + 9y + 14 = 0



39. I      88x² – 19x + 1 = 0
  II      132y² – 23y + 1 = 0



40. I      6x² – 7x + 2 = 0
  II      20y² – 31y + 12 = 0


41. I      6x² + 23x + 20 = 0
  II      6y² + 31y + 35 = 0



42. I      x² = 81
  II      y² – 18y + 81 = 0



43. I      4x²+ 20x + 21 = 0
  II      2y² + 17y + 35 = 0



44. I      x²– 14x + 48 = 0
  II      y² + 6 = 5y



45. I      38x²– 3x – 11 = 0
  II       28y² + 32y + 9 = 0



      •••••••••••••••••••••••••••••••••••••••••••••••••••••





Answer:-


1. (3)
2. (4)
3. (1)
4. (2)
5. (2)
6. (1)
7. (3)
8. (4)
9. (1)
10. (2)
11. (2)
12. (5)
13.(2)
14.(5)
15.(5)
16. (2)
17.(4)
18. (2)
19. (2)
20 (3)
21. (1)
22. (4)
23. (4)
24. (5)
25. (4)
26. (3)
27. (1)
28. (5)
29. (2)
30. (2)
31. (2)
32. (1)
33. (5)
34. (5)
35. (5)
36. (4)
37. (5)
38.(2)
39.(3)
40.(1)
41.(5)
42.(4)
43.(3)
44.(2)
45.(3)
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