Quantitative Aptitude: Quadratic Equation Questions Set 40

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 – 11y – 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 = -4/3, 3
   y = -4/3, 5
   Put all values on number line and analyze the relationship
   -4/3……..3………5
2. I. 3x² – 19x + 28 = 0
   II. 3y² – 7y – 6 = 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 = 7/3, 4
   y = -2/3, 3
   Put all values on number line and analyze the relationship
   -2/3………7/3………..3…………4
3. I. 3x² + 19x + 20 = 0
   II. 2y² + 7y – 15 = 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 = -5, -4/3
   y = -5, 3/2
   Put all values on number line and analyze the relationship
   -5………-4/3……….3/2
   
4. I. 4x² –13x – 12 = 0
   II. 4y² + 15y + 9 = 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 C
   Solution:
   x = -3/4, 4
   y = -3, -3/4
   Put all values on number line and analyze the relationship
   -3……………-3/4…………4
   
5. I. 2x² – 3x – 9 = 0
   II. 2y² + 17y + 30 = 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 = -3/2, 3
   y = -6, -9/2
   Put all values on number line and analyze the relationship
   -6……….-9/2…….-3/2………3
6. I. 3x² + 25x + 50 = 0
   II. 2y² + 9y + 10 = 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 = -5, -10/3
   y = -5/2, -2
   Put all values on number line and analyze the relationship
   -5………-10/3………-5/2……..-2
   
7. I. 3x² – 4x – 4 = 0
   II. 3y² – 10y – 8 = 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 = -2/3, 2
   y = -2/3, 4
   Put all values on number line and analyze the relationship
   -2/3………2………4
   
8. I. 3x² – 5x – 12 = 0
   II. 2y² – 3y – 14 = 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, 7/2
   Put all values on number line and analyze the relationship
   -4/3…….. -2………..3……. 7/2
9. I. 2x² – 17x + 35 = 0
   II. 3y² – 13y + 14 = 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 = 7/2, 5
   y = 2, 7/3
   Put all values on number line and analyze the relationship
   2………7/3…….7/2………5
   
10. I. 3x² + x – 24 = 0
    II. 3y² – 20y + 32 = 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, 8/3
    y = 8/3, 4
    Put all values on number line and analyze the relationship
    -3…….. 8/3……..4

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