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 !!!

Follow the link To solve Quadratic Equations with the help of Number Line

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
   
   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
   
   
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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   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
   
   
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
   
   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
   
   
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
   
   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
   
   
7. (x^7/5/9) = (169/x^3/5), y^1/4  * y^1/4  * 7 = (273/y^1/2)
   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:
   (x^7/5/9) = (169/x^3/5)
   (x^7/5)/(x^3/5) = 169*9
   x^{7/5 + 3/5} = 1521
   x² = 1521
   x = ± 39
   y^1/4  * y^1/4  * 7 = (273/y^1/2)
   y^1/4  * y^1/4  * y^1/2 = 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
   
   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
   
   
9. 4/√x + 7/√x =√x , y² – 11^5/2/√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 – 11^5/2/√y = 0
   y^5/2 – 11^5/2
   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
    
    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