# Aptitude Questions: Quadratic Equations Set 32

Hello Aspirants. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating sample questions inÂ Quadratic Equations which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

1. x(2x + 3) = 90
7/âˆšy + 2/âˆšy =Â âˆšy
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
B. X < Y
Explanation:

x(2x + 3) = 90
x = -7.5, 6
7/âˆšy + 2/âˆšy =Â âˆšy
1/âˆšy (7 + 2) =Â âˆšy => y = 9

2. 1/x-3 + 1/x+5 = 1/3
y – Â âˆš16 =Â âˆš9
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
D. X â‰¤ Y
Explanation:

1/x-3 + 1/x+5 = 1/3
x = -3, 7
y – âˆš16 =Â âˆš9
y = 4 + 3 = 7

3. xÂ² – 305/2/âˆšx = 0
y(55 â€“ y) = 750
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
C. X â‰¥ Y
Explanation:

xÂ² – 305/2/âˆšx = 0
x5/2 = 305/2
x = 30
y(55 â€“ y) = 750 => y = 25, 30

4. âˆš(x + 5) =Â âˆš784 – âˆš625
y(27 â€“ y) = 182
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
B. X < Y
Explanation:

âˆš(x + 5) =Â âˆš784 – âˆš625
x + 5 = 9 => x = 4
y(27 â€“ y) = 182
y = 13, 14

5. yÂ² – xÂ² = 112
y – x = 8
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
B. X < Y
Explanation:
yÂ² – xÂ² = 112
y – x = 8
(y + x) (y – x) = 112
(y + x) 8 = 112
y + x = 14
y – x = 8
y = 11 and x = 3

6. 480/x = [480/(x – 8)] – 3
y(10y – 1) = 2
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

480/x = [480/(x – 8)] – 3
x = 40, -32
y(10y – 1) = 2
10y2 – y – 2 = 0; y = 0.5, -0.4

7. x2 =1600, 360/y Â = 360/(y +5) + 1
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

x2 =Â 1600
x = 40, -40
360/y Â = 360/(y +5) + 1
y =Â 40, -45

8. âˆš2116x – âˆš8464= 0,Â (625)1/4y – (1000)1/3=0
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

âˆš2116x – âˆš8464 = 0
46x – 92 = 0
x = 2
(625)1/4y – (1000)1/3=0
5y – 10 = 0
y = 2

9. (x + 2)(x + 1) = (x – 2)(x – 3), (y + 3)(y + 29) = 360
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

(x + 2)(x + 1) = (x – 2)(x – 3)
x = 1/2 = 0.5
(y + 3)(y + 29) = 360
y = 7, -39

10. 9x – 17.45 = 67.55 + 4x, (y – 6)(y – 5) = (y – 4)(y – 3)
A. X > Y
B. X < Y
C. X â‰¥ Y
D. X â‰¤ Y
E. X = Y or relation cannot be established
A. X > Y
Explanation:

9x – 17.45 = 67.55 + 4x
9x – 4x = 67.55 + 17.45
5x = 85 => x= 17
(y – 6)(y – 5) = (y – 4)(y – 3)
4y = 18; y = 4.5

AffairsCloud Recommends Oliveboard Mock Test

AffairsCloud Ebook - Support Us to Grow