Quantitative Aptitude: Quadratic Equation Set 33

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 – 13x + 14 = 0,
   II. 3y² – 20y + 32 = 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, 7/3
   y = 8/3, 4
   Put all values on number line and analyze the relationship
   2……..7/3……..8/3……….4
2. I. 3x² + 10x + 8 = 0,
   II. 3y² – 19y – 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 B
   Solution:
   x = -2, -4/3
   y = -2/3, 7
   Put all values on number line and analyze the relationship
   -2…….. -4/3………-2/3……..7
3. I. 4x² – 9x – 9 = 0,
   II. 4y² + 13y + 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 A
   Solution:
   x = -3/4, 3
   y = -2, -5/4
   Put all values on number line and analyze the relationship
   -2…….. -5/4…….-3/4……….3
   
4. I. 4x² – 23x + 30 = 0,
   II. 3y² – 8y – 16 = 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 = 15/4, 2
   y = -4/3, 4
   Put all values on number line and analyze the relationship
   -4/3…….. 2…….15/4……..4
   
5. I. 3x² + 2x – 21 = 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 = -3, 7/3
   y = -4/3, 1
   Put all values on number line and analyze the relationship
   -3……….-4/3……..1…….. 7/3
6. I. 3x² – 19x + 30 = 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 E
   Solution:
   x = 3, 10/3
   y = 7/3, 4
   Put all values on number line and analyze the relationship
   7/3…….. 3……..10/3……….4
   
7. I. 3x² – 25x + 52 = 0,
   II. 2y² – 13y + 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 = 4, 13/3
   y = 1/2, 6
   Put all values on number line and analyze the relationship
   1/2…….. 4…….13/3……..6
   
8. I. 4x² + 15x + 9 = 0,
   II. 4y² – 13y – 12 = 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, -3/4
   y = -3/4, 4
   Put all values on number line and analyze the relationship
   -3…….. -3/4…….4
9. I. 20x² – 31x + 12 = 0,
   II. 3y² – 14y + 16 = 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 = 3/4, 4/5
   y = 2, 8/3
   Put all values on number line and analyze the relationship
   3/4…….4/5…….. 2………8/3
   
10. I. 3x² + 16x + 20 = 0,
    II. 3y² + 37y + 114 = 0
    A) x > y
    B) x< y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    
    View Answer

    Option A
    Solution:
    x = -10/3, -2
    y = -19/3, -6
    Put all values on number line and analyze the relationship
    -19/3…….. -6…….-10/3……….-2

   Click here for more Quadratic Equations Practice Sets