# Algebra For SBI PO : Set – 20

## Algebra For SBI PO : Set – 20

**D.1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

1. I. 11x + 5y = 117

II. 7x + 13y = 153

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

2. I. 6x^{2} + 51x + 105 = 0

II. 2y^{2} + 25y + 78 = 0

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

3. I. 6x + 7y = 52

II. 14x + 4y = 35

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

4. I. x^{2} + 11x + 30 = 0

II. y^{2} + 12y + 36 = 0

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

5. I. 2x^{2} + x – 1=0

II. 2y^{2} – 3y + l = 0

(a) if x > y

(b) if x ≥ y

(c)if x < y

(d) if x ≤ y

(e) if x = y or relationship between x and y cannot be established

**D.6-10) In the following questions three equations numbered I, II and III are given. You have to solve all the equations either together or separately, or two together and one separately, or by any other method and give answer If**

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established

6. I. 7x + 6y + 4z = 122

II. 4x + 5y + 3z = 88

III. 9x + 2y + z = 78

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established

7. I. 7x + 6y =110

II. 4x + 3y = 59

III. x + z = 15

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established

8. I. x =

II. 2y + 3z = 33

III. 6y + 5z = 71

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established

9. I. 8x + 7y= 135

II. 5x + 6y = 99

III. 9y + 8z = 121

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established

10. I.(x + y)^{3}= 1331

II. x – y + z = 0

III. Xy = 28

(a) x < y = z

(b) x < y < z

(c)x < y > z

(d) x = y > z

(e) x = y = z or if none of the above relationship is established