Quantitative Aptitude: Quadratic Equation Questions Set 41

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. 4y² – 9y – 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 E
   Solution:
   x = -4/3, 3
   y = -3/4, 3
   Put all values on number line and analyze the relationship
   -4/3………..-3/4……3
2. I. 2x² + 11x + 14 = 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 B
   Solution:
   x = -7/2, -2
   y = -2/3, 3
   Put all values on number line and analyze the relationship
   -7/2………-2………..-2/3…………3
3. I. 3x² + 19x + 20 = 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 B
   Solution:
   x = -5, -4/3
   y = -3/4, 4
   Put all values on number line and analyze the relationship
   -5………-4/3……….-3/4………4
   
4. I. 4x² – 9x – 9 = 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, 3
   y = -3, -3/4
   Put all values on number line and analyze the relationship
   -3……………-3/4…………3
   
5. I. 2x² – 3x – 9 = 0
   II. 4y² + 23y + 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 = -3/2, 3
   y = -5, -3/4
   Put all values on number line and analyze the relationship
   -5……….-3/4…….-3/2………3
6. I. x² = 1156,
   II. y = √1156
   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:
   x² = 1156,
   So x = -34, 34
   y = √1156
   So y = 34
   Put all values on number line and analyze the relationship
   -34… 34
   
7. I. 3x² + 14x – 5 = 0, 
   II. 3y² – 19y + 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 D
   Solution:
   x = -5, 1/3
   y = 1/3, 6
   Put all values on number line and analyze the relationship
   -5…….. 1/3…..… 6
   
8. I. 3x² – 14x + 8 = 0
   II. 3y² – 20y + 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 E
   Solution:
   x = 2/3, 4
   y = 6, 2/3
   Put all values on number line and analyze the relationship
   2/3…….. 4…….. 6
9. I. 2x² – 17x + 36 = 0
   II. 3y² – 14y + 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 C
   Solution:
   x = 4, 9/2
   y = 2/3, 4
   Put all values on number line and analyze the relationship
   2/3……… 4……… 9/2
   
10. I. 3x² + 16x + 20 = 0
    II. 3y² – 14y – 5 = 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 = -2, -10/3
    y = -1/3, 5
    Put all values on number line and analyze the relationship
    -10/3..… -2…… -1/3…… .5

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