Quantitative Aptitude: Quadratic Equation Set 36

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UICL, OICL, BOI, 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 – 4x – 4 = 0,
   II. 3y² + 17y + 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 C
   Solution:
   x = -2/3, 2
   y = -5, -2/3
   Put all values on number line and analyze the relationship
   -5……..-2/3…….2
2. I. 3x² – 15x + 12 = 0, 
   II. 3y² – 19y + 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
3. I. 2x² – 17x + 35 = 0,
   II. 3y² – 4y – 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 A
   Solution:
   x = 7/2, 5
   y = -5/3, 3
   Put all values on number line and analyze the relationship
   -5/3…….3…….7/2………5
   
4. I. 3x² – 4x – 15 = 0,
   II. 3y² – 23y + 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 E
   Solution:
   x = -5/3, 3
   y = 5/3, 6
   Put all values on number line and analyze the relationship
   -5/3…….. 5/3……..3……….6
   
5. I. 3x² – 5x – 28 = 0,
   II. 2y² – 17y + 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 D
   Solution:
   x = -7/3, 4
   y = 4, 9/2
   Put all values on number line and analyze the relationship
   -7/3……….4…..9/2
6. I. 3x² – 17x + 20 = 0
   II. 3y² + y – 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 C
   Solution:
   x = 5/3, 4
   y = -2, 5/3
   Put all values on number line and analyze the relationship
   -2………5/3……….4
   
7. I. 2x² + 17x + 36 = 0,
   II. 3y² – 17y – 6 = 0
   A) x > y
   B) x< y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   View Answer

   Option B
   Solution:
   x = -9/2, -4
   y = -1/3, 6
   Put all values on number line and analyze the relationship
   -9/2……….-4………-1/3……….6
   
8. I. 2x² – 13x + 20 = 0,
   II. 2y² + 5y – 18 = 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 = 5/2, 4
   y = -9/2, 2
   Put all values on number line and analyze the relationship
   -9/2……2…….. 5/2…….4
9. I. 2x² – 17x + 36 = 0,
   II. 3y² – 28y + 64 = 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, 9/2
   y = 4, 16/3
   Put all values on number line and analyze the relationship
   4…….9/2…….. 16/3
   
10. I. 3x² – 2x – 21 = 0,
    II. 2y² – 15y + 27 = 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 = -7/3, 3
    y = 3, 9/2
    Put all values on number line and analyze the relationship
    -7/3…….. 3……..9/2

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