Quadratic Equation Questions
Hello Aspirants, As we all know that Quadratic Equation Questions is a important part of quantitative aptitude section for every competitive exams.Different kind of Quadratic Equation Questions asked in every competitative exam.So here, In this article we will provide Quadratic Equation Quiz.These Quadratic Equation Questions are important for Bank, SSC, SEBI, NABARD, RBI, LIC, and Other state exams. You can attempt these questions & boost your preparation for your examination.
In the Banking exams Quadratic Equation Questions asked in the Prelims as well as Mains exam.There are 5 Quadratic Equation Questions asked in the Prelims exam (Bank).You want to score more in the Quadratic Equation section then you should practice more and more Quadratic Equation.
Quadratic Equation Questions Quiz -2
Directions:(1-5) 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. 9x2-6x-35=0
II. 3y2-y-10=0
A. if x < y
B. if x ≤ y
C. if x = y or Relationship between x and y cannot be established
D. if x > y
E. if x ≥ y
Show Correct Answers
C. if x = y or Relationship between x and y cannot be established
From I,
9x2 + 15x – 21x – 35 = 0
3x(3x + 5)-7(3x + 5) = 0
(3x – 7)(3x + 5) = 0
x = 7/3 or -5/3
From II,
3y2– y – 10 = 0
3y2– 6y + 5y – 10 = 0
3y(y – 2)+5(y – 2) = 0
y = -5/3 or 2
So, no relationship can be established between
x and y.
2. I. 85x2-77x-30=0
II. 255y2-231y-90=0
A. if x < y
B. if x ≤ y
C. if x = y or Relationship between x and y cannot be established
D. if x > y
E. if x ≥ y
Show Correct Answers
C. if x = y or Relationship between x and y cannot be established
From I,
85x2– 77x – 30 = 0
85x2– 102x + 25x – 30 = 0
17x(5x – 6) + 5(5x – 6) = 0
(17x + 5)(5x – 6) = 0
x = -5/17 or 6/5
From II,
255y2– 231y – 90 = 0
3(85y2– 77y – 30) = 0
85y2– 77y – 30 = 0
y = -5/17 or 6/5
So, no relationship can be established between
x and y.
3. I. 7x2-45x+50=0
II. 21y2-44y+20=0
A. if x < y
B. if x ≤ y
C. if x = y or Relationship between x and y cannot be established
D. if x > y
E. if x ≥ y
Show Correct Answers
E. if x ≥ y
From I,
7x2– 45x + 50 = 0
7x2– 35x – 10x + 50 = 0
7x(x – 5)-10(x – 5) = 0
(7x – 10)(x – 5) = 0
x = 10/7 or 5
From II,
21y2– 44y + 20 =0
21y2– 14y – 30y + 20 = 0
7y(3y – 2)-10(3y – 2) = 0
(7y – 10)(3y – 2) = 0
y = 10/7 or 2/3
So, x ≥ y.
4. I. 12x2-24x+12=0
II. 5y2-7y-6=0
A. if x < y
B. if x ≤ y
C. if x = y or Relationship between x and y cannot be established
D. if x > y
E. if x ≥ y
Show Correct Answers
C. if x = y or Relationship between x and y cannot be established
From I,
12x2-12x – 12x + 12 = 0
12x(x – 1)-12(x – 1) = 0
(12x – 12)(x – 1) = 0
x = 1
From II,
5y2– 7y – 6 = 0
5y2– 10y – 3y – 6 = 0
5y(y – 2)-3(y – 2) = 0
y = 2/5 or 2
So, no relationship can be established between x and y.
5. I. 2x2-3x+1=0
II. 15y2-16y+4=0
A. if x < y
B. if x ≤ y
C. if x = y or Relationship between x and y cannot be established
D. if x > y
E. if x ≥ y
Show Correct Answers
C. if x = y or Relationship between x and y cannot be established
From I,
2x2– 3x + 1 = 0
2x2– 2x – x + 1 = 0
2x(x – 1) – 1(x – 1) = 0
(2x – 1)(x – 1) = 0
x = 1/2 or 1
From II,
15y2– 16y + 4 = 0
15y2-10y – 6y + 4 = 0
5y(3y – 2)-3(3y – 2) = 0
(5y – 3)(3y – 2) = 0
y = 3/5 or 2/3
So, no relationship can be established between
x and y.
6. I. x2+4x-5=0
II. y2-20y+19=0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established
Show Correct Answers
C. x ≤ y
From equation I:
x2 +4x -5 = (x -1)(x + 5)= 0
=> x = 1, -5
From equation II:
y2-20y +19 = (y -1)(y -19) = 0
=> y = 1, 19
|
X =1 |
X = -5 |
| Y = 1 |
x = y |
x < y |
| Y = 19 |
x < y |
x < y |
So, x ≤ y
7. I. x2+17x+52=0
II. 6y2+y-40=0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established
Show Correct Answers
A. x < y
From equation I:
x2 +17x +52 = (x + 4)(x + 13)= 0
=> x = -4, -13
From equation II:
6y2 +y -40 = (3y + 8)(2y -5) = 0
=> y = -8/3, 5/2
|
X= -4 |
X = -13 |
| Y=-8/3 |
x < y |
x < y |
| Y = 5/2 |
x < y |
x < y |
So, x < y
8. I. x2+12=7x
II. y2+30=11y
A. x > y
B. x ≥ y
C. x < y
D. x ≤ y
E. x = y or relationship cannot be established
Show Correct Answers
C. x < y
From I,
x2– 7x + 12 = 0
=> x=3,4
From II,
y2– 11y + 30 = 0
=> y=5,6
Hence x<y
9. I. x2-5x-14=0
II. 3y2+17y+22=0
A. If x ≤ y
B. If x ≥ y
C. If x < y
D. If x > y
E. If x = y or no specific relation can be established
Show Correct Answers
B. If x ≥ y
First equation –
x2– 5x – 14 = 0
or, x2– 7x + 2x – 14 = 0
or, x (x – 7) + 2 (x – 7) = 0
or, (x – 7) (x + 2) = 0
or, x = – 2 or 7
Second equation –
3y2 + 17y + 22 = 0
or, 3y2 + 11y + 6y + 22 = 0
or, y (3y + 11) + 2 (3y + 11) = 0
or, (y + 2) (3y + 11) = 0
or, y = – 2 or – 11/3
So here x is always more than y or equals to y so the answer is 2
10. I. 12x2-25x+12=0
II. 2y2-7y+6=0
A. If x ≤ y
B. If x ≥ y
C. If x < y
D. If x > y
E. If x = y or no specific relation can be established
Show Correct Answers
C. If x < y
First equation –
12x2– 25x + 12 = 0
or, 12x2– 16x – 9x + 12 = 0
or, 4x (3x – 4) – 3 (3x – 4) = 0
or, (4x – 3) (3x – 4) = 0
or, x = ¾ or 4/3
Second equation –
2y2– 7y + 6 = 0
or, 2y2– 4y – 3y + 6 = 0
or, 2y (y – 2) – 3 (y – 2) = 0
or, (2y – 3) (y – 2) = 0
or, y = 3/2 or 2
So here we can see that y is always more than x. The answer is 3.
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