Dear Aspirants,
We are providing the most important Quadratic Equations (Inequalities) for SBI PO 2019, SBI Clerk 2019 and all other competitive bank and insurance exams. These questions have very high chances to be asked in SBI PO 2019, SBI Clerk 2019.
Get the Best Test Series for SBI PO 2019 at the most affordable price (Based on Real Exam Pattern) – Click Here
Download the Best GK Gaming App for Current Affairs and GK (Bank+SSC)– Click here (App No 1) (App No 2)
Directions (1- 5): In the following questions, two equations I and II are given. You have to solve both the equations and give answer
1.
I. 4p² + 8p + 3 = 0
II. 4q² – 29q + 45 = 0
2.
I. 2p² – 23p + 21 = 0
II. q² + 42q + 272 = 0
3.
I.5p² – 26p + 21 = 0
II. 2q² – 17q + 21 = 0
4.
I. p² – 21p + 104 = 0
II. q² – 33q + 260 = 0
5.
I. p² – 31p + 240 = 0
II. q² – 28q + 195 = 0
Directions (6-10): In the following questions, two equations numbered are given in variables p and q. You have to solve both the equations and find out the relationship between p and q. Then give answer accordingly.
6.
I. 3p2 – 17p + 10 = 0
II. 3q2 + 4q – 4 = 0
7.
I. 3p2 – 14p + 8 = 0
II. 3q2 – 20q + 12 = 0
8.
I. 3p2 – 19p + 28 = 0
II. 4q2 – 5q – 6 = 0
9.
I. 6p2 + 23p + 21 = 0
II. 3q2 – 14q – 5 = 0
10.
I. 2p2 – 7p + 3 = 0
II. 2q2 + 11q + 12 = 0
Check your Answers below:
Directions (1- 5): In the following questions, two equations I and II are given. You have to solve both the equations and give answer
1. Question
I. 4p² + 8p + 3 = 0
II. 4q² – 29q + 45 = 0Ans:2
4p² + 8p + 3 = 0
4p2+2p+6p+3 =0
2p (2p+1)+ 3(2p+1) =0
(2p+3) (2p+1)= 0
p = -0.5, -1.5
4q² – 29q + 45 = 0
4q2-20q-9q+45 =0
4q(q-5) -9 (q-5) =0
(4q-9) (q-5) =0
q = 2.25, 5
P < q2. Question
I. 2p² – 23p + 21 = 0
II. q² + 42q + 272 = 0Ans:1
2p² – 23p + 21 = 0
2p2-21p-2p +21 =0
2p (p-1) -21 (p-1) =0
(2p-21)(p-1) =0
p = 10.5, 1
q² + 42q + 272 = 0
q2+8q+34q+272 =0
q(q+8)+34 (q+8) =0
(q+8)(q+34)=0
q = -8, -343. Question
I.5p² – 26p + 21 = 0
II. 2q² – 17q + 21 = 0Ans:5
5p² – 26p + 21 = 0
5p2-5p-21p+21=0
(5p-21) (p-1) =0
p = 4.2, 0.2
2q² – 17q + 21 = 0
2q2-14q-3q+21 =0
2q (q-7) -3(q-21) =0
(2q-3) (q-7) =0
q = 7, 1.5
Relationship cannot be determined4. Question
I. p² – 21p + 104 = 0
II. q² – 33q + 260 = 0Ans:4
p² – 21p + 104 = 0
P2-13p-8p+104 =0
(p-8) (p-13) =0
p = 13, 8
q² – 33q + 260 = 0
q2– 13q- 20q + 260 =0
(q-13) (q-20) =0
q = 13, 20
P ≤ q5. Question
I. p² – 31p + 240 = 0
II. q² – 28q + 195 = 0Ans:3
p² – 31p + 240 = 0
p2– 15p- 16p + 240 =0
(p-15) (p-16) =0
p = 15, 16
q² – 28q + 195 = 0
q2 – 13q – 15q +195 =0
(q-13) (q-15) =0
q = 13, 15
P ≥ q6. Question
Directions (6-10): In the following questions, two equations numbered are given in variables p and q. You have to solve both the equations and find out the relationship between p and q. Then give answer accordingly.
I. 3p2 – 17p + 10 = 0
II. 3q2 + 4q – 4 = 0Ans:3
3p2 – 17p + 10 = 0
3p2 – 15p – 2p + 10 = 0
Gives p = 2/3, 5
3q2 + 4q – 4 = 0
3q2 + 6q – 2q – 4 = 0
Gives q = -2, 2/3
-2…. 2/3…… 5
p ≥ q7. Question
I. 3p2 – 14p + 8 = 0
II. 3q2 – 20q + 12 = 0Ans:5
3p2 – 14p +8 = 0
3p2 – 12p – 2p + 8 = 0
Gives p = 2/3, 4
3q2 – 20q + 12 = 0
3q2 – 18q – 2q + 12 = 0
Gives q = 6, 2/3
2/3….. 4….. 6
Relation cannot be determined8. Question
I. 3p2 – 19p + 28 = 0
II. 4q2 – 5q – 6 = 0Ans:1
3p2 – 19p + 28 = 0
3p2 – 12p – 7p + 28 = 0
Gives p = 7/3, 4
4q2 – 5q – 6 = 0
4q2 – 8q + 3q – 6 = 0
Gives q = -3/4, 2
-3/4…… 2…… 7/3…. 4
p > q9. Question
I. 6p2 + 23p + 21 = 0
II. 3q2 – 14q – 5 = 0Ans:2
6p2 + 23p + 21 = 0
6p2 + 9p + 14p + 21 = 0
Gives p = -7/3, -3/2
3q2 – 14q – 5 = 0
3q2 – 15q + q – 5 = 0
Gives q = -1/3, 5
-7/3…… -3/2….. -1/3…… 5
p < q10. Question
I. 2p2 – 7p + 3 = 0
II. 2q2 + 11q + 12 = 0Ans:1
2p2 – 7p + 3 = 0
2p2 – 6p – p + 3 = 0
Gives p = 3, 1/2
2q2 + 11q + 12 = 0
2q2 + 8q + 3q + 12 = 0
Gives q = -3/2, -4
-4……. -3/2…… 1/2….. 3
p > q
English 
French