# Quadratic Equation Questions for IBPS PO , SBI PO and Clerk Exam

## Quadratic Equation Questions for IBPS PO , SBI PO and IBPS Clerk , SBI Clerk , RRB, Exam 2018

Quadratic equations is one of the most important topic for banking as well as insurance exams as 5 questions are expected to come in both prelim as well as mains examination that’s why we are discussing this topic in detail:

Directions (1-5): In each of the following questions two equations are given. You have to solve the equations and give answer as:
(a) if x < y
(b) if x ≤ y
(c) relationship between x and y cannot be determined
(d) if x ≥ y
(e) if x > y

### Quadratic Equation Questions for IBPS PO , SBI PO and Clerk Exam

Q1. I. 3x² + 10x + 8 = 0

II. 3y² + 7y + 4 = 0

S1. Ans.(b)
Sol.
I. 3x² + 10x + 8 = 0
⇒ 3x² + 6x + 4x + 8 = 0
⇒ (x + 2) (3x + 4) = 0
⇒ x = –2, –4/3

II. 3y² + 7y + 4 = 0
⇒ 3y² + 3y + 4y + 4 = 0
⇒ (y + 1) (3y + 4) = 0
⇒ y = –1, –4/3

y ≥ x

Q2. I. 2x² + 21x + 10 = 0
II. 3y² + 13y + 14 = 0

S2. Ans.(c)
Sol.
I. 2x² + 21x + 10 = 0
⇒ 2x² + 20 + x + 10 = 0
⇒ (x + 10) (2x + 1) = 0
⇒ x = –10, –1/2

II. 3y² + 13y + 14 = 0
⇒ 3y² + 6y + 7y + 14 = 0
⇒ (y + 2) (3y + 7) = 0
⇒ y = –2, –7/3
No relation

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Q3. I. 8x² + 18x + 9 = 0
II. 4y² + 19y + 21 = 0

S3. Ans.(e)
Sol.
I. 8x² + 18x + 9 = 0
⇒ 8x² + 12x + 6x + 9 = 0
⇒ (2x + 3) (4x + 3) = 0
⇒ x = –3/2, –3/4

II. 4y² + 19y + 21 = 0
⇒ 4y² + 12y + 7y + 21 = 0
⇒ (y + 3) (4y + 7) = 0
⇒ x = –3, –7/4
x >y

Q4. I. 3x² + 16x + 21 = 0
II. 6y² + 17y + 12 = 0

S4. Ans.(a)
Sol.
I. 3x² + 16x + 21 = 0
⇒ 3x² + 9x + 7x + 21 = 0
⇒ (x + 3) (3x + 7) = 0
⇒ x = –3, –7/3

II. 6y² + 17y + 12 = 0
⇒ 6y² + 9y + 8y + 12 = 0
⇒ 3y (2y + 3) + 4 (2y + 3) = 0
⇒ y = – 3/2, –4/3
y > x

Q5. I. 8x² + 6x = 5
II. 12y² – 22y + 8 = 0

S5. Ans.(b)
Sol.
I. 8x² + 6x – 5 = 0
⇒ 8x² + 10x – 4x – 5 = 0
⇒ (4x + 5) (2x – 1) = 0
⇒ x = ½, –5/4

II. 12y² – 22y + 8 = 0
⇒ 6y² – 11y + 4 = 0
⇒ 6y² – 3y – 8y + 4 = 0
⇒ (2y – 1) (3y – 4) = 0
⇒ y = 1/2, 4/3
y ≥ x

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