SSC Board Practice

SSC Grade X - Quadratic Equations
Question 1
1.
A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by (-6) . Find the number
  • 24
  • 26
  • 21
  • 25
  • 23
Question 2
2.
    • Find the number which exceeds its reciprocal by
    • 9
      9

      10
  • 10
  • 11
  • 12
  • 8
  • 9
Question 3
3.
    • Solve the quadratic equation
    •  
       
      x
         
       
       
      4

       
       
      x
      =
         
       
       
      3
  • (
    2
    ,
    -4
    )
  • (
    3
    ,
    -5
    )
  • (
    1
    ,
    -4
    )
  • (
    3
    ,
    -6
    )
  • (
    2
    ,
    -5
    )
Question 4
4.
    • Solve :
    •  
       
      18
      x
      2
      a
      4
         
       
       
      11
      b
      x
      a
      2
        +  
       
       
      b
      2
    • = 0
  •  
     
    b

     
     
    2
    a
    2
    ,
     
     
    b

     
     
    9
    a
    2
  •  
     
    b

     
     
    4
    a
    2
    ,
     
     
    b

     
     
    11
    a
    2
  •  
     
    b

     
     
    2
    a
    2
    ,
     
     
    b

     
     
    9
    a
    2
  •  
     
    b

     
     
    a
    2
    ,
     
     
    b

     
     
    7
    a
    2
  •  
     
    3
    b

     
     
    2
    a
    2
    ,
     
     
    b

     
     
    3
    a
    2
Question 5
5.
    • Solve :
    •  
       
      8
      x
      2
       
         
       
       
      6



      2
      x
         
       
       
      28
       = 
      0
  • 7




    32
    ,
    (
    4
    )




    32
  • 7




    8
    ,
    (
    4
    )




    32
  • 7



    4




    8
    ,
    (
    4



    4
    )




    8
  • 7




    8
    ,
    (
    4
    )




    8
  • 7



    4




    8
    ,
    (
    4
    )




    8
Question 6
6.
    • Solve :
    • (
      x
      4
       
      9
      x
      2
       
      +
      18
      )
      =
      0



  • 6
    ,
    (



    6
    )
    ,



    3
    ,
    (



    3
    )
  • 4


    6
    ,
    (
    4


    6
    )
    ,
    4


    3
    ,
    (
    4


    3
    )
  • 6
    ,
    (
    6
    )
    ,
    3
    ,
    (
    3
    )



  • 8
    ,
    (



    9
    )
    ,



    5
    ,
    (



    5
    )



  • 4
    ,
    (



    4
    )
    ,



    1

    3
    ,
    (



    1

    3
    )
Question 7
7.
    • If
    • -6
    • is the root of
    • (
      x
      2
       
      +
      k
      x
      18
      )
      =
      0
    • , find
    • k
    • and the other root
      • k
      • =
      • 4
      • , and the other root =
      • 4
      • k
      • =
      • 2
      • , and the other root =
      • 2
      • k
      • =
      • 1
      • , and the other root =
      • 0
      • k
      • =
      • 6
      • , and the other root =
      • 6
      • k
      • =
      • 3
      • , and the other root =
      • 3
Question 8
8.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      +
      6
      x
      +
      9
      )
      =
      0
  • -1
  • -2
  • 3
  • 0
  • 1
Question 9
9.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      x
      +
      8
      )
      =
      0
  • -34
  • -30
  • -31
  • -29
  • -32
Question 10
10.
The sum of the squares of two consecutive even numbers is 164. Find the numbers
      • (-11)
      • ,
      • (-9)
      • or
      • 11
      • ,
      • 9
      • (-10)
      • ,
      • (-8)
      • or
      • 10
      • ,
      • 8
      • (-9)
      • ,
      • (-7)
      • or
      • 9
      • ,
      • 7
      • (-8)
      • ,
      • (-5)
      • or
      • 8
      • ,
      • 5
      • (-13)
      • ,
      • (-10)
      • or
      • 13
      • ,
      • 10