Quantitative Aptitude: Quadratic Equation Set 35

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. 15x² – 34x + 15 = 0,
   II. 4y² – 29y + 45 = 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 = 5/3, 3/5
   y = 2.25, 5
   Put all values on number line and analyze the relationship
   3/5……..5/3…….2.25……….5
2. I. x² – 21x + 104 = 0, 
   II. y² – 28y + 195 = 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 = 13, 8
   y = 13 15
   Put all values on number line and analyze the relationship
   8…….. 13………15
3. I. 4x² – 9x – 9 = 0,
   II. 2y² – 17y + 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 = -3/4, 3
   y = 3/2, 7
   Put all values on number line and analyze the relationship
   -3/4…….3/2…….3………7
   
4. I. 5x² – 26x + 21 = 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 = 1, 21/5
   y = -4/3, 4
   Put all values on number line and analyze the relationship
   -4/3…….. 1……..4……….21/5
   
5. I. 2x² – 23x + 21 = 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 = 2, 21/2
   y = 7/3, 4
   Put all values on number line and analyze the relationship
   2………. 7/3……..4…..21/2
6. I. 5x² + 11x – 12 = 0
   II. 4y² – 20y + 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 B
   Solution:
   x = -3, 4/5
   y = 1.5, 3.5
   Put all values on number line and analyze the relationship
   -3………4/5……..1.5…….3.5
   
7. I. 2x² + 11x + 14 = 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 B
   Solution:
   x = -3.5, -2
   y = -2/3, 4
   Put all values on number line and analyze the relationship
   -3.5……….-2………-2/3……….4
   
8. I. 2x² + 17x + 30 = 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 = -6, -5/2
   y = -3/4, 4
   Put all values on number line and analyze the relationship
   -6……-5/2…….. -3/4…….4
9. I. 3x² – 10x + 8 = 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 C
   Solution:
   x = 2, 4/3
   y = -4, 4/3
   Put all values on number line and analyze the relationship
   -4…….4/3…….. 2
   
10. I. 3x² – 4x – 4 = 0,
    II. 4y² + 23y + 15 = 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 = -2/3, 2
    y = -5, -3/4
    Put all values on number line and analyze the relationship
    -5…….. -3/4…….-2/3…….2

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