Quantitative Aptitude: Quadratic Equation Questions Set 42

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 – 2x – 21 = 0
   II. 3y² – 11y – 42 = 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 = -7/3, 3
   y = -7/3, 6
   Put all values on number line and analyze the relationship
   -7/3………..3……6
2. I. 3x²  – 10x – 25 = 0
   II. 3y² + 14y + 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 C
   Solution:
   x = -5/3, 5
   y = -3, -5/3
   Put all values on number line and analyze the relationship
   -3………-5/3…………..5
3. I. 3x² + 13x + 12 = 0
   II. 2y² – y – 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 = -4/3, -3
   y = -3, 7/2
   Put all values on number line and analyze the relationship
   -3……….-4/3………7/2
   
4. I. 2x² – 15x + 27 = 0
   II. 3y²  – 11y + 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 C
   Solution:
   x = 3, 9/2
   y = 2/3, 3
   Put all values on number line and analyze the relationship
   2/3……………3…………9/2
   
5. I. 2x² – 13x + 18 = 0
   II. 2y² + 3y – 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 A
   Solution:
   x = 2, 9/2
   y = -3, 3/2
   Put all values on number line and analyze the relationship
   -3……….3/2…….2………9/2
6. I. 3x² + 16x + 20 = 0
   II. 3y²  – 5y – 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 B
   Solution:
   x = -10/3, -2
    y = -2/3, 4
   Put all values on number line and analyze the relationship
   -10/3…….-2……-2/3………4
   
7. I. 3x² + x – 30 = 0, 
   II. 3y² + 4y – 4 = 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 = -10/3, 3
   y = -2, 2/3
   Put all values on number line and analyze the relationship
   -10/3…….. -2…..… 2/3……..3
   
8. I. 2x² + 9x + 10 = 0
   II. 3y² + 20y + 33 = 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, -2
   y = -11/3, -3
   Put all values on number line and analyze the relationship
   -11/3………-3……….-5/2………-2
9. I. 3x² – 10x + 8 = 0
   II. 3y² – 22y + 35 = 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 = 4/3, 2
   y = 7/3, 5
   Put all values on number line and analyze the relationship
   4/3………2………7/3………5
   
10. I. 3x² + 8x – 35 = 0
    II. 3y² – 23y + 42 = 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, 7/3
    y = 7/3,6
    Put all values on number line and analyze the relationship
    -5….… 7/3…….. 6

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