SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Quadratic Equations
Question 1
1.
Find two natural numbers which differ by 13 and the sum of whose squares is 4597
  • (
    41
    ,
    54
    )
  • (
    40
    ,
    53
    )
  • (
    42
    ,
    55
    )
  • (
    43
    ,
    57
    )
  • (
    38
    ,
    52
    )
Question 2
2.
    • Solve :
    •  
       
      10
      x
      2
      b
      2
      		  −  
       
       
      3
      a
      2
      x
      b
      		  −  
       
       
      4
      a
      4
    • = 0
  • −
     
     
    3
    a
    2
     
     
    4
    b
    ,
     
     
    2
    a
    2
     
     
    5
    b
  • −
     
     
    2
    a
    2
     
     
    3
    b
    ,
     
     
    4
    a
    2
     
     
    3
    b
  • −
     
     
    a
    2
     
     
    4
    b
    ,
     
     
    6
    a
    2
     
     
    5
    b
  • −
     
     
    a
    2
     
     
    2
    b
    ,
     
     
    4
    a
    2
     
     
    5
    b
  • −
     
     
    2
    a
    2
     
     
    5
    b
    ,
     
     
    4
    a
    2
     
     
    7
    b
Question 3
3.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      +
      6
      x
      +
      9
      		)
      =
      0
  • -1
  • 1
  • 0
  • -2
  • 2
Question 4
4.
    • One pipe can fill a cistern in
    • 3
    • hours less than the other.
    • The two pipes together can fill it in
    • 7
      21
      31
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 14 hr , 17 hr
  • 16 hr , 20 hr
  • 13 hr , 16 hr
  • 15 hr , 18 hr
  • 12 hr , 14 hr
Question 5
5.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      +
      9
      x
      +
      18
      		)
      =
      0
  • (
    -2
    ,
    -6
    )
  • (
    -3
    ,
    -6
    )
  • (
    0
    ,
    -9
    )
  • (
    0
    ,
    -7
    )
  • (
    -2
    ,
    -7
    )
Question 6
6.
    • Solve the quadratic equation
    •  
       
      x
      		  +  
       
       
      3
      =
        −  
       
       
      2
       
       
      x
  • (
    2
    ,
    -4
    )
  • (
    -1
    ,
    -2
    )
  • (
    0
    ,
    -3
    )
  • (
    2
    ,
    -3
    )
  • (
    0
    ,
    -2
    )
Question 7
7.
    • Find the number which exceeds its reciprocal by
    • 9
      9
      10
  • 7
  • 10
  • 12
  • 11
  • 9
Question 8
8.
A two digit number is such that the product of the digits is 12. When 9 is subtracted from the number, the digits are reversed. Find the number
  • 43
  • 42
  • 40
  • 45
  • 44
Question 9
9.
    • Solve :
    •  
       
      (
      x
      2
       
      −
      4
      x
      		)
      2
      		  −  
       
       
      10
      (
      x
      2
       
      −
      4
      x
      		)
      		  +  
       
       
      21
      =
      0
      • (
        2
        +
        4
        √

        11
        )
      • ,
      • (
        2
        −
        4
        √

        11
        )
      • ,
      • (
        2
        +
        4
        √

        7
        )
      • ,
      • (
        2
        −
        4
        √

        7
        )
      • (
        2
        +

        √

        11
        )
      • ,
      • (
        2
        −

        √

        11
        )
      • ,
      • (
        2
        +

        √

        7
        )
      • ,
      • (
        2
        −

        √

        7
        )
      • (
        2
        +
        11
        )
      • ,
      • (
        2
        −
        11
        )
      • ,
      • (
        2
        +
        7
        )
      • ,
      • (
        2
        −
        7
        )
      • (
        0
        +

        √

        11
        )
      • ,
      • (
        −
        1
        −

        √

        11
        )
      • ,
      • (
        0
        +

        √

        7
        )
      • ,
      • (
        −
        1
        −

        √

        7
        )
      • (
        5
        +

        √

        11
        )
      • ,
      • (
        5
        −

        √

        11
        )
      • ,
      • (
        5
        +

        √

        7
        )
      • ,
      • (
        5
        −

        √

        7
        )
Question 10
10.
    • Solve :
    •   −  
       
       
      5
       
       
      (
      x
      +
      1
      		)
      		  +  
       
       
      2
       
       
      (
      −
      x
      +
      4
      		)
      =
        −  
       
       
      4
  • (
    −

    √

    2
    )
    ,
    4

    √

    2
  • (
    −
    1
    )
    ,
    4
  • (
    −

    √

    5
    )
    ,
    4

    √

    5
  • (
    −

    √

    3
    )
    ,
    4

    √

    3
  • (
    −

    √

    4
    )
    ,
    4

    √

    4