Quantitative Aptitude: Quadratic Equation Set 37

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. 12x² + 25x + 12 = 0
   II. 4y² – 5y – 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 D
   Solution:
   x = -4/3, -3/4
   y = -3/4, 2
   Put all values on number line and analyze the relationship
   -4/3……..-3/4……..2
2. I. 3x² – 19x + 28 = 0
   II. 6y² + 11y – 7 = 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 = 7/3, 4
   y = 1/2, -7/3
   Put all values on number line and analyze the relationship
   -7/3…….. 1/2………7/3……….4
3. I. 2x² – 3x – 9 = 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 E
   Solution:
   x = -3/2, 3
   y = -5/3, 2
   Put all values on number line and analyze the relationship
   -5/3………-3/2…….2………3
   
4. I. 4x² + 17x + 15 = 0
   II. 6y² + 23y + 21 = 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 = -3, -5/4
   y = -7/3, -3/2
   Put all values on number line and analyze the relationship
   -3……………-7/3…….. -3/2………….-5/4
   
5. I. 4x² – 19x + 12 = 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 = 3/4, 4
   y = 4, 9/2
   Put all values on number line and analyze the relationship
   3/4……….4…..9/2
6. I. 3x² + 13x + 14 = 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 D
   Solution:
   x = -7/3, -2
   y = -2, 5/3
   Put all values on number line and analyze the relationship
   -7/3………-2………5/3
   
7. I. 2x² – 19x + 42 = 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 E
   Solution:
   x = 7/2, 6
   y = -1/3, 6
   Put all values on number line and analyze the relationship
   -1/3………7/2………6
   
8. I. 3x² + 16x + 20 = 0
   II. 3y² – 14y – 5 = 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 = -2, -10/3
   y = -1/3, 5
   Put all values on number line and analyze the relationship
   -10/3… -2…. -1/3…. 5
9. I. 2x² – 17x + 36 = 0
   II. 6y² – 35y + 50 = 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, 9/2
   y = 5/2, 10/3
   Put all values on number line and analyze the relationship
   5/2………10/3…….4……9/2
   
10. I. 3x² + 4x – 39 = 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 = -13/3, 3
    y = 3, 9/2
    Put all values on number line and analyze the relationship
    -13/3…….. 3……..9/2

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