Quant Questions Bank PO

Quantitative Aptitude: Quadratic Equations Set 23

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. 7x2 – 9x + 2 = 0
    II. y2 – 4y + 3 = 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:
    I. 7x2– 7x – 2x + 2 = 0
    or, 7x(x – 1) – 2(x – 1) = 0
    (7x – 2) (x – 1) = 0
    or, x =2/7 , 1
    II. y2– y – 3y + 3 = 0

    or, y(y – 1) – 3(y – 1) = 0
    or, (y – 3) (y – 1) = 0
    y = 1, 3
    x <= y
                  
  2. I. x2+ x – 20 = 0
    II. 2y2 – 19y + 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:
    I. x2+ x – 20 = 0
    or, x2+ 5x – 4x – 20 = 0
    or, x(x + 5) – 4(x + 5) = 0
    or, (x – 4) (x + 5) = 0
    x = 4, – 5
    II. 2y2– 10y – 9y + 45 = 0

    or, 2y(y – 5) – 9(y – 5) = 0
    or, (y – 5) (2y – 9) = 0
    y = 5 , 9/2
                  
  3. I. 7x + 3y = 26
    II. 2x + 17y = -41
    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:
    Eqn (I) × 2
    Eqn (II) × 7
    14x + 6y = 52
    14x + 119y = – 287
    – 113y = 339
    y = – 3 and x = 5, ie x > y
          
  4. I. 3x2 – 20x + 33 = 0
    II. 2y2 – 11y + 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:
    I. 3x2– 9x – 11x + 33 = 0
    or, 3x(x – 3) – 11(x – 3) = 0
    or, (3x – 11) (x – 3) = 0
    x = 3, 11/3
    II. 2y2– 6y – 5y + 15 = 0

    or, 2y(y – 3) – 5(y – 3) = 0
    or, (y – 3) (2y – 5) = 0
    y = 3 , 5/2
                  
  5. I. 5x2 + 2x – 3 = 0
    II. 2y2+ 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 A
    Solution:
    5x2+ 5x – 3x – 3 = 0
    or 5x (x + 1) – 3(x + 1) = 0
    or (5x – 3) (x + 1) = 0
    x= 3/5, -1
    II. 2y2+ 4x + 3y + 6 = 0
    or 2y(y + 2) + 3(y + 2) =0
    or (2y + 3) (y + 2) = 0
    y = -3/2 , -2
                  
  6. I. 35x2 – 53x + 20 = 0
    II. 56y2 -97y + 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 B
    Solution:
    I. 35x2 – 28x – 25x + 20 = 0
    or 7x(5x – 4) – 5(5x – 4) = 0
    or (7x – 5) (5x – 4) = 0
    x  5/7 , 4/5
    II. 56y2 – 48y – 49y + 42 = 0
    or 8y(7y – 6) – 7(7y – 6) = 0
    or (8y – 7) (7y – 6) = 0
    y = 7/8 , 6/7
                  
  7. I. x = 34913
    II. 13y + 3x = 246
    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:
    I. x = 3√4913
    x = 17

    II. 13y = 246 – 3x
    or 13y = 246 – 51 = 195
    y = 15
    x > y
                  

  8. I. x2 – 5x – 14 = 0
    II. y2+ 7y + 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 C
    Solution:
    I. x2– 7x + 2x – 14 = 0
    or x(x – 7) + 2(x – 7) = 0
    (x + 2) (x – 7) = 0
    x = -2, 7
    II. y2+ 5y + 2y + 10 = 0

    or y(y + 5) + 2(y + 5) = 0
    or (y + 2) (y + 5) = 0
    y = -2, -5
    x  y
                  
  9. I. x2= 64
    II. 2y2 + 25y + 72 = 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:
    I. x2= 64
    x = ±8
    II. 2y2+ 9y + 16y + 72 = 0

    or, y(2y + 9) + 8(2y + 9) = 0
    or, (y + 8) (2y + 9) = 0
    y = -8 , -9/2
    no relation between x and y.
                  
  10. I. x2 – 3481 = 0
    II. 3y2 = 3216000
    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:
    I. x2= 3481
    x = ± 59
    II. 3y2= 3√216000

    3y2= 60
    y = ± √20

    No relation
                  

 

25 thoughts on “Quantitative Aptitude: Quadratic Equations Set 23”

    1. $~$PrAdeEP$K$~$~$

      okkkk..don’t vorry….i will convey ur request to our respectful mods….:))

      1. mam plsss maths and reasonong ke jada se jada quiz post kijiye,,,time is very less , we need to improve a lot

        1. yes we ll post 🙂
          keep practising old sets bhi dobara kar liya kro 1-2 times usse tumhare concept or achhe se clear ho jayenge

      1. okk….:):) puzzles m bht tym lg rha h jo aj wali thi na unme….bht din bad ki h isliye….ap btao aj wali puzzle kitne min. m bnni chahiye…sahi speed??

  1. thanku..mam que 10 m 2nd eqn 60/3 =20 than 20 ka square root nhi nikalana kya i mean y =+20/-20 or root 20

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