## Algebra For SBI PO : Set – 04

D.1-5) In each of these questions, two equations are given. You have to solve these equations and find out the values of x and y and Give answer.

1)

a) If x>y

b) If x ≥ y

c) If x<y

d) If x ≤ y

e) If x=y or relationship cannot be established

d)

I.x=±39

II.y=39

x≤y

2)

a) If x>y

b) If x ≥ y

c) If x<y

d) If x ≤y

e) If x=y or relationship cannot be established

a)

x=6.059

y=5.28

So, x>y

3)

a) If x>y

b) If x ≥ y

c) If x<y

d) If x ≤ y

e) If x=y or relationship cannot be established

c)

x=0.33

y=2.48

So, x<y

4)

a) If x>y

b) If x ≥ y

c) If x<y

d) If x ≤ y

e) If x=y or relationship cannot be established

a)

X>Y

I. 35x+70=0

X=2

3Y+7=0

II. Y=-7/3=-2.33

So, x>y

5)

a) If x>y

b) If x ≥ y

c) If x<y

d) If x ≤ y

e) If x=y or relationship cannot be established

c)

x= 0.37,-0.277

y= 1.5,0.5

So, y>x

D.6-10) In the following questions there are two equations. Solve the two equations and answer appropriately:

6) I. 6x²+5x+1=0

II. 5y²+8y+3=0

a) x<y

b) x<=y

c) x>y

d) x>=y

e) x=y or relationship cannot be established

c)

Explanation: 6x²+3x+2x+1=0       5y²+5y+3y+3=0

3x(2x+1)+1(2x+1)=0   5y(y+1)+3(y+1)=0

x= -1/3 or -1/2              y= -1or -3/5

7) I.x²+7x+12=0

II. 2y²+5y+3=0

a) x<y

b) x<=y

c) x>y

d) x>=y

e) x=y or relationship cannot be established

a)

Explanation: x²+3x+4x+12=0       2y²+2y+3y+3=0

x(x+3)+4(x+3)=0         2y(y+1)+3(y+1)=0

x=-3 or -4                     y= -1 or -0.6

8) I. x²-19x+84=0

II. y²-25y+156=0

a) x<y

b) x<=y

c) x>y

d) x>=y

e) x=y or relationship cannot be established

b)

Explanation: x²-7x-12x+84=0       y²-12y-13y+156=0

x(x-7)-12(x-7)=0          y(y-12)-13(y-12)=0

x= 7 or 12                     y= 12 or 13

9) I. x²-9x+20=0

II. 2y²-7y+5=0

a) x<y

b) x<=y

c) x>y

d) x>=y

e) x=y or relationship cannot be established

c)

Explanation: x²-4x-5x+20=0                  2y²-2y-5y+5=0

x(x-4)-5(x-4)=0            2y(y-1)-5(y-1)=0

x= 4 or 5                       y = 1 or 2.5

10) I. x²=196

II. y=√196

a) x<y

b) x<=y

c) x>y

d) x>=y

e) x=y or relationship cannot be established

b)

Explanation: x=±14  y=14

So, x<=y