Quantitative Aptitude: Quadratic Equation Questions Set 39

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UIIC, OICL, Bank of Baroda and other competitive exams.

Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-

1. I. 3x² – 5x – 12= 0
   II. 3y² – 2y – 8 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option E
   Solution:
   x = -4/3, 3
   y = 2, -4/3
   Put all values on number line and analyze the relationship
   -4/3……..2………3
2. I. 3x² + 7x – 20 = 0
   II. 2y² + 3y – 20 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option E
   Solution:
   x = -4, 5/3
   y = -4, 5/2
   Put all values on number line and analyze the relationship
   -4………5/3………..5/2
3. I. 3x² – 8x – 16 = 0
   II. 2y² + 15y + 25 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option A
   Solution:
   x = -4/3, 4
   y = -5, -5/2
   Put all values on number line and analyze the relationship
   -5………-5/2……….-4/3…….4
   
4. I. 3x² –13x + 14 = 0
   II. 3y² – 19y + 28 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option D
   Solution:
   x = 2, 7/3
   y = 7/3, 4
   Put all values on number line and analyze the relationship
   2……………7/3…………4
   
5. I. 3x² – 10x – 8 = 0
   II. 2y² + 21y + 54 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option A
   Solution:
   x = -2/3, 4
   y = -6, -9/2
   Put all values on number line and analyze the relationship
   -6……….-9/2…….-2/3………4
6. I. 3x² + 20x + 12 = 0
   II. 2y² + y – 36 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option E
   Solution:
   x = -6, -2/3
   y = -9/2, 4
   Put all values on number line and analyze the relationship
   -6………-9/2………-2/3……..4
   
7. I. 3x² – 5x – 28 = 0
   II. 3y² + y – 14 = 0
   A) x > y
   B) x< y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   View Answer

   Option E
   Solution:
   x = -7/3, 4
   y = -7/3, 2
   Put all values on number line and analyze the relationship
   -7/3………2………4
   
8. I. 3x² + 19x + 30 = 0
   II. 3y² + 8y + 4 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option B
   Solution:
   x = -10/3, -3
   y = -2, -2/3
   Put all values on number line and analyze the relationship
   -10/3…….. -3………..-2……. -2/3
9. I. 3x² – 2x – 16 = 0
   II. 3y² – 23y + 40 = 0
   A) If x > y
   B) If x < y
   C) If x ≥ y
   D) If x ≤ y
   E) If x = y or relation cannot be established
   
   View Answer

   Option D
   Solution:
   x = -2, 8/3
   y = 8/3, 5
   Put all values on number line and analyze the relationship
   -2………8/3…….5
   
10. I. 4x² + 9x – 9 = 0
    II. 4y² – 23y + 15 = 0
    A) x > y
    B) x< y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    
    View Answer

    Option D
    Solution:
    x = -3, 3/4
    y = 3/4, 5
    Put all values on number line and analyze the relationship
    -3…….. 3/4……..5

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