# Quantitative Aptitude: Quadratic Equation Set 35

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UICL, OICL, BOI, Bank of Baroda and other competitive exams.

Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-

1. I. 15x2 – 34x + 15 = 0,
II. 4y2 – 29y + 45 = 0

A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option B
Solution:

x = 5/3, 3/5
y = 2.25, 5
Put all values on number line and analyze the relationship

3/5……..5/3…….2.25……….5
2. I. x2 – 21x + 104 = 0,
II. y2 – 28y + 195 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option D
Solution:

x = 13, 8
y = 13 15
Put all values on number line and analyze the relationship
8…….. 13………15
3. I. 4x2 – 9x – 9 = 0,
II. 2y2 – 17y + 21 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option E
Solution:

x = -3/4, 3
y = 3/2, 7
Put all values on number line and analyze the relationship
-3/4…….3/2…….3………7
4. I. 5x2 – 26x + 21 = 0,
II. 3y2 – 8y – 16 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option E
Solution:

x = 1, 21/5
y = -4/3, 4
Put all values on number line and analyze the relationship
-4/3…….. 1……..4……….21/5
5. I. 2x2 – 23x + 21 = 0,
II. 3y2 – 19y + 28 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option E
Solution:

x = 2, 21/2
y = 7/3, 4
Put all values on number line and analyze the relationship
2………. 7/3……..4…..21/2
6. I. 5x2 + 11x – 12 = 0
II. 4y2 – 20y + 21 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option B
Solution:

x = -3, 4/5
y = 1.5, 3.5
Put all values on number line and analyze the relationship
-3………4/5……..1.5…….3.5
7. I. 2x2 + 11x + 14 = 0,
II. 3y2 – 10y – 8 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option B
Solution:

x = -3.5, -2
y = -2/3, 4
Put all values on number line and analyze the relationship
-3.5……….-2………-2/3……….4
8. I. 2x2 + 17x + 30 = 0,
II. 4y2 – 13y – 12 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option B
Solution:

x = -6, -5/2
y = -3/4, 4
Put all values on number line and analyze the relationship
-6……-5/2…….. -3/4…….4
9. I. 3x2 – 10x + 8 = 0,
II. 3y2 + 8y – 16 = 0
A) If x > y
B) If x < y
C) If x ≥ y
D) If x ≤ y
E) If x = y or relation cannot be established
Option C
Solution:

x = 2, 4/3
y = -4, 4/3
Put all values on number line and analyze the relationship
-4…….4/3…….. 2
10. I. 3x2 – 4x – 4 = 0,
II. 4y2 + 23y + 15 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option A
Solution:

x = -2/3, 2
y = -5, -3/4
Put all values on number line and analyze the relationship
-5…….. -3/4…….-2/3…….2

## 8 Thoughts to “Quantitative Aptitude: Quadratic Equation Set 35”

1. jaga

THANK U MAM

2. Jitu

ty MAm….

3. disqus_Oi6LuXajAL

last ques
3×2 – 4x + 4 = 0
????

1. yuvi

hmm factor nhi tut rha sahi..

2. chinnu

3x^2 -4x-4=0

4. yuvi

thanku mam..

5. What?s Happening i’m new to this, I stumbled upon this I’ve found It positively useful and it has helped me out loads. I hope to contribute & assist other users like its helped me. Good job.

6. This is a topic that is near to my heart… Thank you! Where are