SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Quadratic Equations
Question 1
1.
    • Solve :
    • (
      27
      x
      +
      1
      		)
      (
      17
      x
      +
      1
      		)
    • =
    • (
      16
      x
      +
      1
      		)
      (
      10
      x
      +
      1
      		)
  • (
    0
    ,
    -2
    )
  • (
    -2
    ,
    -1
    )
  • (
    0
    ,
    2
    )
  • (
    2
    ,
    4
    )
  • (
    -1
    ,
    1
    )
Question 2
2.
    • Solve :
    • (
      x
      4
       
      −
      9
      x
      2
       
      +
      8
      		)
      =
      0
  • 2

    √

    1
    2
    ,
    (
    −
    2

    √

    -1
    )
    ,
    (
    −
    2
    )
    ,
    (
    −
    4
    )
  • 2
    4
    √

    2
    ,
    (
    −
    2
    4
    √

    2
    )
    ,
    2
    ,
    0
  • 4
    ,
    (
    −
    4
    )
    ,
    0
    ,
    (
    −
    2
    )
  • 2

    √

    2
    ,
    (
    −
    2

    √

    2
    )
    ,
    1
    ,
    (
    −
    1
    )
  • 2

    √

    5
    ,
    (
    −
    2

    √

    5
    )
    ,
    3
    ,
    1
Question 3
3.
The sum of the squares of two consecutive odd numbers is 74. Find the numbers
      • (-4)
      • ,
      • (-3)
      • or
      • 4
      • ,
      • 3
      • (-8)
      • ,
      • (-6)
      • or
      • 8
      • ,
      • 6
      • (-7)
      • ,
      • (-5)
      • or
      • 7
      • ,
      • 5
        		•
      • (-6)
      • ,
      • (-4)
      • or
      • 6
      • ,
      • 4
      • (-10)
      • ,
      • (-8)
      • or
      • 10
      • ,
      • 8
Question 4
4.
    • Solve :
    •  
       
      √
      (
      2
      x
      +
      3
      		)
      		 = 
       
       
      x
  • 3
    ,
    (
    −
    1
    )
  • 3

    √

    5
    ,
    (
    −

    √

    5
    )
  • 3

    √

    4
    ,
    (
    −

    √

    4
    )
  • 3

    √

    2
    ,
    (
    −

    √

    2
    )
  • 3

    √

    3
    ,
    (
    −

    √

    3
    )
Question 5
5.
    • Solve :
    •   −  
       
       
      3
       
       
      (
      −
      x
      +
      3
      		)
      		  −  
       
       
      4
       
       
      (
      −
      x
      −
      2
      		)
      =
        −  
       
       
      5
       
       
      (
      x
      −
      2
      		)
  • (
    25
    24
    +
    1
    24

    √

    1489
    )
    ,
    (
    25
    24
    −
    1
    24

    √

    1489
    )
  • (
    25
    24
    +
    1
    24

    √

    2978
    )
    ,
    (
    25
    24
    −
    1
    24

    √

    2978
    )
  • (
    25
    24
    +
    1
    24

    √

    4467
    )
    ,
    (
    25
    24
    −
    1
    24

    √

    4467
    )
  • (
    25
    24

    √

    5
    +
    1
    24

    √

    1489
    )
    ,
    (
    25
    24

    √

    5
    −
    1
    24

    √

    1489
    )
  • (
    25
    24

    √

    4
    +
    1
    24

    √

    1489
    )
    ,
    (
    25
    24

    √

    4
    −
    1
    24

    √

    1489
    )
Question 6
6.
    • Find the roots of the quadratic equation
    • (
      27
      x
      2
       
      +
      21
      x
      +
      4
      		)
      =
      0
  • (
    (
    -1
    5
    		 )
    ,
    (
    -4
    9
    		 )
    )
  • (
    1
    3
    ,
    (
    -2
    3
    		 )
    )
  • (
    (
    -1
    3
    		 )
    ,
    (
    -4
    9
    		 )
    )
  • (
    (
    -1
    5
    		 )
    ,
    (
    -4
    7
    		 )
    )
  • (
    1
    3
    ,
    (
    -4
    7
    		 )
    )
Question 7
7.
    • Find the discriminant of the quadratic equation
    • (
      20
      x
      2
       
      −
      40
      x
      +
      44
      		)
      =
      0
  • -1919
  • -1923
  • -1920
  • -1918
  • -1921
Question 8
8.
A stream flows from A to B, a distance of 9.00 km. A man who can row in still water at 5.00 kmph, can row up and down in 10.00 hr . What is the speed of the stream?
  • 4.00 kmph
  • 3.00 kmph
  • 5.00 kmph
  • 6.00 kmph
  • 2.00 kmph
Question 9
9.
    • Solve :
    •  
       
      21
      x
      2
      a
      4
      		  −  
       
       
      32
      b
      x
      a
      2
      		  +  
       
       
      12
      b
      2
    • = 0
  • 0
    ,
     
     
    4
    b
     
     
    7
    a
    2
  •  
     
    2
    b
     
     
    5
    a
    2
    ,
     
     
    2
    b
     
     
    3
    a
    2
  •  
     
    2
    b
     
     
    3
    a
    2
    ,
     
     
    6
    b
     
     
    7
    a
    2
  •  
     
    4
    b
     
     
    3
    a
    2
    ,
     
     
    8
    b
     
     
    7
    a
    2
  •  
     
    2
    b
     
     
    a
    2
    ,
     
     
    6
    b
     
     
    5
    a
    2
Question 10
10.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      +
      6
      x
      +
      9
      		)
      =
      0
  • 2
  • 0
  • -3
  • 1
  • -1