Algebra For SBI PO : Set – 02

D.1-5) In each of three questions, two equations numbered I and II are given. You have to solve both the equations.

1. I. x + 12x +32 = 0
II. y + 17y +72 = 0

a) x<y

b) x≤y

c) x>y

d) x≥ y

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

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d)

 

 

 

 

2. I. x -22x +120 = 0

II. y – 26y +168 = 0

a) x<y

b) x≤y

c) x>y

d) x≥ y

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

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b)

3. I.x + 7x +12 = 0

II.y + 6y +8 = 0

a) x<y

b) x≤y

c) x>y

d) x≥ y

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

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e)

4. I. x +15x +56 = 0

II. y – 23y +132 = 0

a) x<y

b) x≤y

c) x>y

d) x≥ y

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

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a)

5. I. x +13x + 42=  0

II. y +19y +90 = 0

a) x<y

b) x≤y

c) x>y

d) x≥ y

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

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c)

D.6-10) In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer.

6. I. 2x + 3y = 14

II. 4x + 2y = 16

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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(c)

1.2x + 3y = 14

2. 4x + 2y = 16

 

Y = 3

X + 3 (3) = 14

2x = 5

X = 2.5

X < y

7. I. x2 + 13x = -42

II. y2 + 16y + 63 = 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)

1. x2 + 13x + 42 = 0

2. y2 + 16y + 63 = 0

X = -6 or -7

Y = -9 or -7

X ≥ y

8. I. x2 = 529

II. y=

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)

1. x2 = 529

2. X = ± 23

 

II. y =

Y = 23

X ≤ y

9. I. x2 + 9x + 20 = 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 the relationship cannot be established

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(d)

I.x2 + 9x + 20 = 0

II. y2 + 7y + 12 = 0

X = -5 or -4

Y = -4 or -3

X ≤ y

10. I . x2 – 14x + 48 = 0

II. y2 + 6 = 5y

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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(a)

I. x2 – 14x + 48 = 0

II. y2 + 6 = 5y

Y2 – 5y + 6 = 0

X = 8 or 6

Y = 3 or 2

X > y