# Algebra For SBI PO : Set – 12

## Algebra For SBI PO : Set – 12

**D.1-6) In the following questions, two equations numbered I and II are given. You have to solve both the equations and find the Solutions.
**

1)

I. 5X – 7Y = 3;

II. 6X – 8Y = 4

a) X>Y

b) X<Y

c) X≤Y

d) X≥Y

e) X=Y or Can’t be determined

2)

I. 2X + 3Y = -5;

II. 5X + 2Y = 4

a) X>Y

b) X<Y

c) X≤Y

d) X≥Y

e) X=Y or Can’t be determined

3)

I. X + Y = 8;

II. 2X + 3Y = 20

a) X>Y

b) X<Y

c) X≤Y

d) X≥Y

e) X=Y or Can’t be determined

4)

I. 8x^{2} + 6x = 5

II. 12y^{2} – 22y + 8 = 0

a) If x > y

b) If x ≥ y

c) If x < y

d) If x ≤ y

e) If x = y

5)

I. 18x^{2} + 18x + 4 = 0

II. 12y^{2} + 29y + 14 = 0

a) If x > y

b) If x ≥ y

c) If x < y

d) If x ≤ y

e) If x = y

6)

I. x^{2} – 16 = 0

II. y^{2} – 9y + 20 = 0

a) If x > y

b) If x ≥ y

c) If x < y

d) If x ≤ y

e) If x = y

7) If x^{2} + y^{2} – 4x – 4y + 8 = 0, then the value of x-y is

a) 4

b) -4

c) 0

d) 8

e) 2

8) X=2+√3 then find the value of (X^{6}+X^{4}+X^{2}+1)/X^{3}

a) 52

b) 68

c) 80

d) 56

e) 46

9) What number should be subtracted from x^{3}+4x^{2}−7x+12, if it is to be perfectly divisible by x+3?

a) 42

b) 39

c) 13

d) 23

e) None of these

10) If a = 2 , b = -3 then the value of 27 a^{3} – 54a^{2}b+ 36 ab^{2} – 8b^{3} is

a) 1562

b) 1616

c) 1676

d) 1728

e) 1626

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