Quadratic Equation Quiz. Welcome to Online Quantitative Aptitude Section in letsstudytogether.co .Quadratic Equation is one of the most favourite topics of almost every banking exam. Here we are providing a Quiz Set on Quadratic Equation so that you can practice more and get good marks in the examination.
Quadratic Equation Quiz
Directions: In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer.
1. I. x^{2}32x+256=0
II. y^{2}33y+272=0
A. x < y
B. x ≤ y
C. x > y
D. x ≥ y
E. If either x=y or the relationship can’t be
established
2. I. 3x4y+9=0
II.7x7y7=0
A. x < y
B. x ≤ y
C. x > y
D. x ≥ y
E. If either x=y or the relationship can’t be
established
3. I. x^{2}2x15=0
II. y^{2}9y+14=0
A. x < y
B. x ≤ y
C. x > y
D. x ≥ y
E. If either x=y or the relationship can’t be
established
4. I. 4x^{2}8x+3=0
II. 4y^{2}+8y+3=0
A. x < y
B. x ≤ y
C. x > y
D. x ≥ y
E. If either x=y or the relationship can’t be
established
5. I. 2x^{2}3x+1=0
II. 2y^{2}4y+2=0
A. x < y
B. x ≤ y
C. x > y
D. x ≥ y
E. If either x=y or the relationship can’t be
established
Directions: In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer.
6. I. 3x^{2}+12x180=0
II. 2y^{2}+4y96=0
A. x < y
B. x ≤ y
C. If either x=y or the relationship can’t be
established
D. x > y
E. x ≥ y
7. I. 36x^{2}+30x+6=0
II.45y^{2}+24y+3=0
A. x < y
B. x ≤ y
C. If either x=y or the relationship can’t be
established
D. x > y
E. x ≥ y
8. I. 2x^{2}9x+9=0
II. y^{2}11y+24=0
A. x < y
B. x ≤ y
C. If either x=y or the relationship can’t be
established
D. x > y
E. x ≥ y
9. I. x^{2}13x+40=0
II. y^{2}+9y+18=0
A. x < y
B. x ≤ y
C. If either x=y or the relationship can’t be
established
D. x > y
E. x ≥ y
10. I. 42x^{2}162x24=0
II. 12y^{2}+24y288=0
A. x < y
B. x ≤ y
C. If either x=y or the relationship can’t be
established
D. x > y
E. x ≥ y
Quadratic Equation Quiz
Correct Answers
1. I. x^{2}32x +256 =0
=> (x16)^{2} =0
=> x = 16,16
and II. y^{2}– 33y + 272 =0
=> (y16)(y17)=0
=> y =16,17
So, x ≤ y
Hence, option B
2. Solving I and II, we get
x = 13 and y =12
So, x > y. Hence, option C
3. I. x^{2}2x 15 =0
=>x^{2}5x +3x 15 =0
=> (x5)(x+3) =0
=> x= 5, 3
II. y^{2} – 9y +14 =0
=>y^{2} – 2y 7y +14 =0
=>(y 2)(y7) =0
=>y = 2,7
So, relation between x and y is not determined.
Hence, option e.
4.
5.
6.
From I,
x^{2} + 4x – 60 = 0
x^{2}– 6x + 10x – 60 = 0
x(x – 6)+10(x – 6) = 0
(x – 6)(x + 10) = 0
x = 6 or 10
From II,
y^{2} + 2y – 48 = 0
y^{2}– 6y + 8y – 48 = 0
y(y – 6)+8(y – 6) = 0
(y – 6)(y + 8) = 0
y = 8 or 6
So, no relationship can be established between x
and y. Hence, option c.
7.
From I,
6x^{2} + 5x + 1 = 0
6x^{2} + 3x + 2x + 1 = 0
3x(2x + 1) + 1(2x + 1) = 0
(3x + 1)(2x + 1) = 0
x = 1/3 or 1/2
From II,
15y^{2} + 8y + 1 = 0
15y^{2} + 5y + 3y + 1 = 0
5y(3y + 1) + 1(3y + 1) = 0
(5y + 1)(3y + 1) = 0
y = 1/5 or 1/3
So, y≥x. Hence, option b.
8.
From I,
2x^{2}– 6x – 3x + 9 = 0
2x(x – 3)3(x – 3) = 0
(2x – 3)(x – 3) = 0
x = 3/2 or 3
From II,
y^{2}– 3y – 8y + 24 = 0
y(y – 3)8(y – 3) = 0
(y – 3)(y – 8) = 0
y = 3 or 8
So, y ≥ x. Hence, option b
9.
From I,
x^{2}– 5x – 8x + 40 = 0
x(x – 5)8(x – 5) = 0
(x – 5)(x – 8) = 0
x = 5 or 8
From II,
y^{2} + 3y + 6y + 18 = 0
y(y + 3)+6(y + 3) = 0
(y + 3)(y + 6) = 0
y = 3 or 6
So, x > y. Hence, option d.
10.
From I,
7x^{2}– 27x – 4 = 0
7x^{2}– 28x + x – 4 = 0
7x(x – 4) + 1(x – 4) = 0
(x – 4)(7x + 1) = 0
x = 1/7 or 4
From II,
y^{2} + 2y – 24 = 0
y^{2}– 4y + 6y – 24 = 0
y(y – 4)+6(y – 4) = 0
(y – 4)(y + 6) = 0
y = 4 or 6
So, no relationship can be established between x
and y. Hence, option c.
Free Study Materials : IBPS RRB Exam 2017
IBPS RRB 2017 Prelims Study Material
Reasoning Ability 

Puzzles and Seating Arrangement  Coding Decoding 
Syllogism  Inequality 
Mixed Reasoning Questions 
Quantitative Aptitude 

Number Series  Simplification/ Approximation 
Quadratic Equations  Miscellaneous 
Data Interpretation [50+ Mega DI] 
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