## Algebra For SBI PO : Set – 05

D.1-5) Two equations numbered I & II are given. You have to solve both the equations and choose the appropriate option.

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 determined

(c)

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 determined

c)

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 determined

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 determined

d)

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 determined

c)

x<y

D.6-10) For the two given equations I and II.

6)

I. p2+13p+42=0

II. q2=36

a) If p is greater than q.

b) If p is smaller than q.

c) If p is equal to q.

d) If p is either equal to or greater than q.

e) If p is either equal to or smaller than q

e)

p2+13p+42=0

(p+7)(p+6)=0

p=-6,-7

II.q2=36

q=±6

∴p≤q

7)

I. p=√4/√9

II.9q2-12q+4=0

a) If p is greater than q.

b) If p is smaller than q.

c) If p is equal to q.

d) If p is either equal to or greater than q.

e) If p is either equal to or smaller than q.

(c)

I. p=√4/√9=2/3

II.9q2-12q+4=0

(3q-2)2=0

q=2/3

∴p=q

8)

I. 3p2+15p=-18

II.q2+7q+12=0

a) If p is greater than q.

b) If p is smaller than q.

c) If p is equal to q.

d) If p is either equal to or greater than q.

e) If p is either equal to or smaller than q.

(d)

I.3p2+15p+18=0

(3p+6)(p+3)=0

p=-2,-3

II.q2+7q+12=0

(q+4)(q+3)=0

q=-3,-4

∴p≥q

9)

I. 3p2+2p-1=0

II. 2q2+7q+6=0

a) If p is greater than q.

b) If p is smaller than q.

c) If p is equal to q.

d) If p is either equal to or greater than q.

e) If p is either equal to or smaller than q.

(a)

I.3p2+2p-1=0

(3p-1)(p+1)=0

p=1/3,-1

II.2q2+7q+6=0

(2q+3)(q+2)=0

q=-3/2,-2

10)

I. 6p2+5p+1=0

II. 20q2+9q=-1

a) If p is greater than q.

b) If p is smaller than q.

c) If p is equal to q.

d) If p is either equal to or greater than q.

e) If p is either equal to or smaller than q.

(b)

I.6p2+5p+1=0

(3p+1)(2p+1)=0

p=-1/3,-1/2

II.20q2+9q+1=0

(4q+1)(5q+1)=0

q=-1/4,-1/5

∴p<q