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 !!!
Follow the link To solve Quadratic Equations with the help of Number Line
Bank PO Level Questions :-
- 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
Answer & Explanation
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 - x2 =729, y=√729
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
D. X ≤ Y
Explanation:
x2 =729
x = 27, -27
y = √729
y = 27
Put on number line
-27 27 27 - x³=10648, y²=484
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
C. X ≥ Y
Explanation:
x³ =10648
x = 22
y²= 484
y = + 22, – 22
Put on number line
-22 22 22 - 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
Answer & Explanation
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 - 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
Answer & Explanation
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 - √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
Answer & Explanation
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 - (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
Answer & Explanation
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 - 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
Answer & Explanation
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 - 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
Answer & Explanation
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 - 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
Answer & Explanation
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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