## Algebra For SBI PO : Set – 03

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.

1.

I.

II.

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 can’t be established

b)

x= 9

y= 8

2. I. 5x2=19x-12

II. 5y2+11y=12

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 can’t be established.

d)

x= 3, 4/5

y = 4/5, -3

3. I .2x2-11x+12=0

II. 2y2-17y+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 can’t be established.

c)

x= 3/2, 4

y= 4, 9/2

4. I.

II. 2y2-21y+55=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 can’t be established

b)

x=11

(2y-11) (y-5) = 0

x>y

5. I. 6x2-49x+99=0

II. 5y2+17y+14=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 can’t be established.

b)

x>y

D.6-10) In each of theses questions, two equations I and II are given. You have to solve both the equations and give answer

6. I. x2 + 5x + 6 = 0

II. 4y2 + 24y + 35 = 0

a) if x<y

b) if x≤y

c) if x = y or relation can’t be determined

d) ifx≥y

e) if x>y

(c)

X2 +5X +6 =0

X=-3, -2

4Y2 + 24Y +35=0

y= (-14/4) (-10/4)

Relationship cant be determined between x and y

7. I. 9/√x + 19/√x = √x

II. y-/√y = 0

a) if x<y

b) if x≤y

c) if x = y or relation can’t be determined

d) ifx≥y

e) if x>y

c)

x=28

y= =0

Y=28

X=Y

8. I. x2 – 19x + 84 = 0

II. y2 – 25y + 156 = 0

a) if x<y

b) if x≤y

c) if x = y or relation can’t be determined

d) ifx≥y

e) if x>y

b)

X2 -19X +84 = 0

X= +12, +7

Y2 – 25Y + 156=0

Y=+12,+13

9.I. √784x + 1234 = 1486

II. √1089y + 2081 = 2345

a) if x<y

b) if x≤y

c) if x = y or relation can’t be determined

d) ifx≥y

e) if x>y

e)

28x= 252

x=9

33y=264

Y=8

X>Y

10. I.12/√x – 23/√x = 5√x

II. √y/12 ­5√y/12 = 1/√y

a) if x<y

b) if x≤y

c) if x = y or relation can’t be determined

d) ifx≥y

e) if x>y

e)

Y=-3

X  > Y