Thursday, July 30, 2015

EQUATIONS AND INEQUATIONS - I

Directions (1-5): For the two given equations I and II.
Give answer (1) if p is greater than q.
Give answer (2) if p is smaller than q.
Give answer (3) if p is equal to q.
Give answer (4) if p is either equal to or greater than q.
Give answer (5) if p is either equal to or smaller than q.

1. I. p^2 + 5p + 6 = 0 and II. q^2 + 3q + 2 = 0
2. I. p^2 = 4 and II. q^2 + 4q = - 4
3. I. p^2 + p = 56 and II. q^2 - 17q + 72 = 0
4. I. 3p + 2q - 58 = 0 and II. 4q + 4p = 92
5. I. 3p^2 + 17p + 10 = 0 and II. 10q^2 + 9q + 2 = 0

Directions (6-10): In each of the following questions two equations are given. You have to solve the equations and
Give answer (1) if x < y
Give answer (2) if x <= y
Give answer (3) if x = y
Give answer (4) if x >= y
Give answer (5) if x > y

6. I. 4x^2 - 8x + 3 = 0 and II. 2y^2 - 7y + 6 = 0
7. I. x^2 + x - 6 = 0 and II. 2y^2- 13y + 21 = 0
8. I. x^2 - x - 6 = 0 and II. 2y^2 + 13y + 21 = 0
9. I. x^2 = 4 and II. y^2 + 6y + 9 = 0
10. I. 2x + 3y = 4 and II. 3x + 2y = 11

Directions (11-15): In each of the following questions two equations I and II are given. You
have to solve both the equations and - Give answer if
(1) x > y
(2) x <= y
(3) x < y
(4) x >= y
(5) x = y or relationship between x and y cannot be established

11. I. 4x + 2y = 51 and II. 15y + 13x = 221
12. I. 8x^2 + 3x = 38 and II. 6y^2 + 34 = 29y
13. I. x^2 + 91 = 20x and II. 10y^2 - 29y + 21 = 0
14. I. 6x^2 + 13x + 5 = 0 and II. 9y^2 + 22y + 8 = 0
15. I. (x + y)^2 = 784 and II. 92551 = 92567 - y

16. If 4x + 5y = 83 and 3x/2y = 21/22 then what is the value of y - x ?
(1) 3
(2) 4
(3) 7
(4) 11
(5) None of these

Directions (17-21): 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
Give answer (2) if x >= y
Give answer (3) if x < y
Give answer (4) if x <= y
Give answer (5) if x = y or the relationship cannot be established

17. I. x^2 - 14x + 48 = 0 and II. y^2 + 6 = 5y
18. I. x^2 + 9x + 20 = 0 and II. y^2 + 7y + 12 = 0
19. I. x^2 = 529 and II. y = 529
20. I. x^2 + 13x = - 42 and II. y^2 + 16y + 63 = 0
21. I. 2x + 3y = 14 and II. 4x + 2y = 16

22. If 3y + 9x = 54 and 28x/13y = 140/39 then what is the value of y - x ?
(1) -1
(2) -2
(3) 2
(4) 1
(5) None of these

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