BANK & INSURANCE (QUADRATIC EQUATION PART 1)

Total Questions: 50

11. I. 4x² + 10x - 104 = 0

II. 2y² + 3y - 35 = 0

Correct Answer: (c) x = y or No relation
Solution:

From I:
4x² + 10x - 104 = 0
2(2x + 13)(x - 4) = 0
x = -13/2, 4

From II:
2y² + 3y - 35 = 0
(y + 5)(2y - 7) = 0
y = -5, 7/2

12. I. x² - 9x + 20 = 0

II. y² - 14y + 48 = 0

Correct Answer: (a) x < y
Solution:

x² - 9x + 20 = 0
(x - 4)(x - 5) = 0
x = 4, 5

y² - 14y + 48 = 0
(y - 6)(y - 8) = 0
y = 6, 8

13. I. x² - 13x = - 40

II. y² + y = 30

Correct Answer: (b) x ≤ y
Solution:

x² - 13x = - 40
x² - 13x + 40 = 0
(x - 5)(x - 8) = 0
x = 5, 8

y² + y = 30
y² + y - 30 = 0
(y + 6)(y - 5) = 0
y = -6, 5

14. I. 35x² - 39x + 10 = 0

II. 30y² - 17y = - 2

Correct Answer: (e) x ≥ y
Solution:

35x² - 39x + 10 = 0
(5x - 2)(7x - 5) = 0
x = 2/5, 5/7

30y² - 17y = - 2
30y² - 17y + 2 = 0
(6y - 1)(5y - 2) = 0
y = 1/6, 2/5

15. I. 3x² - 37x + 110 = 0

II. 6y² - 80y + 264 = 0

Correct Answer: (c) x = y or No relation
Solution:

3x² - 37x + 110 = 0
(x - 5)(3x - 22) = 0
x = 5, 22/3

6y² - 80y + 264 = 0
(y - 6)(3y - 22) = 0
y = 6, 22/3

16. I. 15x² - 49x + 40 = 0

II. 6y² - 29y + 35 = 0

Correct Answer: (a) x < y
Solution:

15x² - 49x + 40 = 0
(5x - 8)(3x - 5) = 0
x = 8/5, 5/3

6y² - 29y + 35 = 0
(3y - 7)(2y - 5) = 0
y = 7/3, 5/2

17. I. 10x² + 13x + 4 = 0

II. 12y² + 31y + 20 = 0

Correct Answer: (d) x > y
Solution:

10x² + 13x + 4 = 0
(5x + 4)(2x + 1) = 0
x = -4/5, -1/2

12y² + 31y + 20 = 0
(3y + 4)(4y + 5) = 0
y = -4/3, -5/4

18. I. x² - 42x + 437 = 0

II. y² - 47y + 552 = 0

Correct Answer: (b) x ≤ y
Solution:

x² - 42x + 437 = 0
(x - 19)(x - 23) = 0
x = 19, 23

y² - 47y + 552 = 0
(y - 23)(y - 24) = 0
y = 23, 24

19. I. x² - 26.5x + 168 = 0

II. y² - 15.5y + 60 = 0

Correct Answer: (d) x > y
Solution:

x² - 26.5x + 168 = 0
(x - 10.5)(x - 16) = 0
x = 10.5, 16

y² - 15.5y + 60 = 0
(y - 7.5)(y - 8) = 0
y = 7.5, 8

20. I. x² - 33x + 270 = 0

II. y² - 28y + 192 = 0

Correct Answer: (c) x = y or No relation
Solution:

x² - 33x + 270 = 0
(x - 15)(x - 18) = 0
x = 15, 18

y² - 28y + 192 = 0
(y - 12)(y - 16) = 0
y = 12, 16