Algebra For SBI PO : Set – 06

D.1-5) In the following questions two equations numbered I and II are given. You have to solve both the equations and find the Solutions.

1)

a) If x>y

b) If x≥y

c) If x<y

d) If x≤y

e) If x=y or the relationship cannot be established

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(d)

I. x^2=961

x=√961

x=±31

II.y=√961

y=31

So, x<=y

2)

I. x2-10x+24=0

II. y2-9y+20=0

a) If x>y

b) If x≥y

c) If x<y

d) If x≤y

e) If x=y or the relationship cannot be established

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(e)

I. x^2-10x+24=0

(x-4)(x-6)=0

x=4 or x=6

II. y^2-9y+20=0

(y-4)(y-5)=0

y=4 or y=5

No Relation

3)

I. 4/√x + 7/√x = √x

II. y2-(11)5/2/√y=0

a) If x>y

b) If x≥y

c) If x<y

d) If x≤y

e) If x=y or the relationship cannot be established

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(e)

I. 4/√x+7/√x=√x

4+7=x ⇒x=11

II. y^2-(11)^(5/2)/√y=0

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

y=11

∴x=y

4)

I.225×2-4=0

II. √225 y+2=0

a) If x>y

b) If x≥y

c) If x<y

d) If x≤y

e) If x=y or the relationship cannot be established

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(b)

I. 225x^2-4=0

x^2=4/225⇒x=±2/15

II. √225 y+2=0

15y+2=0⇒y=(-2)/15

5)

I.x2+x-20=0

II. y2-y-30=0

a) If x>y

b) If x≥y

c) If x<y

d) If x≤y

e) If x=y or the relationship cannot be established

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(e)

I. x^2+x-20=0

(x+5)(x-4)=0⇒x=-5,4

II.y^2-y-30=0

(y-6)(y+5)=0⇒y=6,-5

∴ No relation

D.6-10) Each of the following questions contains two equation I & II. Solve those equation and find the value of x and y.

6)

I. x2+11x+30=0

II. Y2+7y+12=0

a) If x > y

b) If x < y

c) If x ≥ y

d) If x ≤ y

e) If x = y or can’t be determined

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b)

 

X=-5, -6      y=-4, -3

7)

I. x=√625

II. Y=√676

a) If x > y

b) If x < y

c) If x ≥ y

d) If x ≤ y

e) If x = y or can’t be determined

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b)

X=25 y=26

8)

I. x2+x-20=0

II. Y2-y-30=0

a) If x > y

b) If x < y

c) If x ≥ y

d) If x ≤ y

e) If x = y or can’t be determined

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e)

X=-5, 4       y=6, -5

9)

I. x2-7x+12=0

II. Y2+y-12=0

a) If x > y

b) If x < y

c) If x ≥ y

d) If x ≤ y

e) If x = y or can’t be determined

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c)

X=4, 3         y=-4, 3

10)

I. x2+4x+4=0

II. Y2-8y+16=0

a) If x > y

b) If x < y

c) If x ≥ y

d) If x ≤ y

e) If x = y or can’t be determined

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b)

X=-2,-2       y=4,4