# Aptitude Questions: Quadratic Equations Set 18

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

Bank PO Level Questions :-

1. 2x2 + 11x + 14=0, 4y2 + 12y +9 =0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
B. X < Y
Explanation:

2x2 + 11x + 14=0
2x2 + 7x + 4x + 14=0
x = -3.5, -2
4y2 + 12y +9 =0
4y2 + 6y + 6y +9 =0
y = -1.5, -1.5
Put on number line
-3.5 -2 -1.5 -1.5

2. x2 =729, y=√729
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
D. X ≤ Y
Explanation:

x2 =729
x = 27, -27
y = √729
y = 27
Put on number line
-27 27 27

3. x³=10648, y²=484
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
C. X ≥ Y
Explanation:

x³ =10648
x = 22
y²= 484
y = + 22, – 22
Put on number line
-22 22 22

4. 4x + 2y =8.5, 2x + 4y = 9.5
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
B. X < Y
Explanation:

4x + 2y =8.5 —-(I)
2x + 4y = 9.5 —(II)
By solving eqn (I and II)
x = 1.25, y=1.75
Put on number line
1.25 1.75

5. x2 + 17x + 72 = 0, y2 + 15y + 56 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
D. X ≤ Y
Explanation:

x2 + 17x + 72 = 0
x2 + 8x + 9x + 72 = 0
x = -8, -9
y2 + 15y + 56 = 0
y2 + 8y + 7y + 56 = 0
y = -7, -8
Put on number line
-9 -8 -8 -7

6. √1225x + √4900 = 0, (81)1/4y + (343)1/3=0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
A. X > Y
Explanation:

√1225x + √4900 = 0
35x + 70 = 0
x = -2
(81)1/4y + (343)1/3=0
3y + 7 = 0
y = -2.33
Put on number line
-2.33 -2

7. (x7/5/9) = (169/x3/5), y1/4  * y1/4  * 7 = (273/y1/2)
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
D. X ≤ Y
Explanation:

(x7/5/9) = (169/x3/5)
(x7/5)/(x3/5) = 169*9
x7/5 + 3/5 = 1521
x2 = 1521
x = ± 39
y1/4  * y1/4  * 7 = (273/y1/2)
y1/4  * y1/4  * y1/2 = 273/7
y = 39
Put on number line
-39 39 39

8. 4x2 – 20x + 21 =0, 9y2 – 27y + 20 =0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

4x2 – 20x + 21 =0
4x2 – 6x – 14x + 21 =0
x = 1.5 3.5
9y2 – 27y + 20 =0
9y2 -15y – 12y + 20 =0
y = 1.33 1.66
Put on number line
1.33 1.5 1.66 3.5

9. 4/√x + 7/√x =√x , y2 – 115/2/√y = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
E. X = Y or relation cannot be established
Explanation:

4/√x + 7/√x =√x
1/√x(4+7) = √x
11/√x = √x
x = 11
y2 – 115/2/√y = 0
y5/2 – 115/2
y = 11

10. x2 + 12x + 32 = 0, y2 + 17y + 72 =0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
C. X ≥ Y
Explanation:

x2 + 12x + 32 = 0
x2 + 8x + 4x + 32 = 0
x = -4 , -8
y2 + 17y + 72 =0
y2 + 17x + 32 = 0
y2 + 8x + 9x + 32 = 0
y = -8 , -9
Put on number line
-9 -8 -8 -4

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