Sunday, 12 March 2017

SBI PO Quadratic Equation Questions and Answers Quiz 2

     
     
     
    1 . Directions (Q. Nos. 1-5) : In the following questions two equations numbered I and II are given. You have to solve both the equations and—
    Give answer
    (1) if x > y
    (2) if x y
    (3) if x < y
    (4) if x y
    (5) if x = y or the relationship cannot be established

    Q.
    I. 1225x+4900=0
    II. (81)14y+(343)13=0

    A.   x>y
    B.   x<y
    C.   xy
    D.   xy
    2 . I. 18x2 + 6x2 - 12x2 = 8x2
    II. y3 + 9.68 + 5.64 = 16.95

    A.   x>y
    B.   xy
    C.   xy
    D.   x = y or no relation can be established between ‘x’ and ‘y’.
    3 . I. (2)5+(11)36 = x3
    II. 4y3=(589÷4)+5y3

    A.   x>y
    B.   xy
    C.   x<y
    D.   xy
    4 . I. 12x2 + llx + 12 = 10x 2 +22x
    II. 13y2 - 18y + 3 = 9y 2 - 10y

    A.   x>y
    B.   xy
    C.   x<y
    D.   xy
    5 . I. (x75÷9) = 169÷y35
    II. y14×y14×7 = 273÷y12

    A.   x>y
    B.   xy
    C.   x<y
    D.   xy
    6 . Directions (Q. 6 - 10): Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between x and y and give answer

    (1) if x > y
    (2) if x < y
    (3) if x y
    (4) if x y
    (5) if x = y, or no relation can be established between x and y.

    Q.
    I. x = 42401
    II.2y2 - 9y - 56 = 0

    A.   x>y
    B.   x<y
    C.   xy
    D.   x = y or no relation can be established between ‘x’ and ‘y’.
    7 . I. 5x2 + 3x - 14 = 0
    II.2y2 - 9y + 10 = 0

    A.   x>y
    B.   x<y
    C.   xy
    D.   xy
    8 . I. 8x2 + 31x + 21 = 0
    II. 5y2 + 11y - 36 = 0

    A.   x>y
    B.   x<y
    C.   xy
    D.   x = y or no relation can be established between ‘x’ and ‘y’.
    9 . I. 3x - y = 12
    II. y = 1089

    A.   x>y
    B.   x<y
    C.   xy
    D.   xy
    10 . I. 15x2 + 68x + 77 = 0
    II. 3y2 + 29y + 68 = 0

    A.   x>y
    B.   x<y
    C.   xy
    D.   xy
      Answers & Solutions
       
      1 .    
      Answer : Option A
      Explanation :
      I. 1225x+4900=0
      35x + 70 = 0
      x = - 7035 = -2

      II. 3y + 7 = 0
      y = - 73

      x>y
      2 .    
      Answer : Option D
      Explanation :
      I. 18+6x12x2 = 8x2
      or , x = 13 = 0.333

      II. y2 = 16.95 - 9.68 - 5.64 = 1.63
      y = ±1.277
      3 .    
      Answer : Option A
      Explanation :
      I. x3= 32+13316 = 13636
      II. 5y34y3= 5894
      or y3= 5894

      x>y
      4 .    
      Answer : Option B
      Explanation :
      I. 2x2 - llx + 12 = 0
      or, x = 4, 32

      II. 4y2 - 8y + 3 = 0
      y = 32 , 12

      xy
      5 .    
      Answer : Option D
      Explanation :
      (x75÷9) = 169÷x35
      (x75×x35 =169x9(x^{7+3\over 5} = 1521
      x2 = 1521
      x = ± 39

      II. y14 + y14 + y12 = 2737
      or, y 14 + 14 + 12 = 39
      y = 39

      x y
      6 .    
      Answer : Option D
      Explanation :
      I. x = 42401
      x = 7

      II.2y2 - 16y + 7y - 56 = 0
      2y(y - 8) + 7(y - 8) = 0
      (2y + 7) (y - 8) = 0
      y = 8 , - 72

      Hence, no relation exists between x and y.
      7 .    
      Answer : Option B
      Explanation :
      I. 5x2 + 10x - 7x - 14 = 0
      or, 5x(x + 2) - 7(x + 2) = 0
      or, (x + 2) (5x - 7) = 0
      x = - 2, 75

      II. 2y2 - 4y - 5y + 10 = 0
      or, 2y(y - 2) - 5(y - 2) = 0
      or, (2y - 5)(y - 2) = 0
      or, y = 2, 52

      x<y
      8 .    
      Answer : Option D
      Explanation :
      I. 8x2 + 24x + 7x + 21 = 0
      or, 8x(x + 3) + 7(x + 3) = 0
      or, (x + 3) (8x + 7) = 0
      x = - 3, - 78

      II. 5y2 + 20y - 9y - 36 = 0
      or, 5y(y + 4) - 9(y + 4) = 0
      or, (y + 4) (5y - 9) = 0
      y = -4, 95

      Hence, no relation exists between x and y.
      9 .    
      Answer : Option B
      Explanation :
      I. y = 1089 y = 33

      II. x = 12+y3 = 12+333 = 453 = 15

      x<y
      10 .    
      Answer : Option A
      Explanation :
      I. 15x2 + 68x + 77 = 0
      or, 15x2 + 35x + 33x + 77 = 0
      or, 5x(3x + 7) + 11(3x + 7) = 0
      or, (5x + 11) (3x + 7) = 0
      x = -73 , -115

      II. 3y2 + 29y + 68 = 0
      or, 3y2 + 12y + 17y + 68 = 0
      or, 3y(y + 4) + 17(y + 4) = 0
      or, (y + 4) (3y + 17) = 0
      y = -4, -173

      x>y

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