SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Quadratic Equations
Question 1
1.
    • One pipe can fill a cistern in
    • 2
    • hours less than the other.
    • The two pipes together can fill it in
    • 3
      15
      16
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 5 hr , 7 hr
  • 7 hr , 9 hr
  • 6 hr , 8 hr
  • 9 hr , 11 hr
  • 8 hr , 10 hr
Question 2
2.
    • If
    • -6
    • is the root of
    • (
      x
      2
       
      +
      k
      x
      +
      54
      		)
      =
      0
    • , find
    • k
    • and the other root
      • k
      • =
      • 14
      • , and the other root =
      • -10
      • k
      • =
      • 16
      • , and the other root =
      • -8
      • k
      • =
      • 15
      • , and the other root =
      • -9
      • k
      • =
      • 12
      • , and the other root =
      • -11
      • k
      • =
      • 17
      • , and the other root =
      • -6
Question 3
3.
A stream flows from A to B, a distance of 9.00 km. A man who can row in still water at 6.00 kmph, can row up and down in 3.38 hr . What is the speed of the stream?
  • 4.00 kmph
  • 3.00 kmph
  • 0.00 kmph
  • 2.00 kmph
  • 1.00 kmph
Question 4
4.
The perimeter of a rectangular room is 82.00 m and the length of its diagonal is 29.21 m . Find the dimensions of the room
  • 23.00 m , 18.00 m
  • 21.00 m , 20.00 m
  • 25.00 m , 16.00 m
  • 22.00 m , 19.00 m
  • 24.00 m , 17.00 m
Question 5
5.
    • Solve :
    •   −  
       
       
      8

      √

      7
      x
      2
       
      		  +  
       
       
      25
      x
      		  +  
       
       
      4

      √

      7
      		 = 
      0

  • √

    28
    (
    −
    8
    )
    ,
    4

    √

    7

  • √

    7
    (
    −
    8
    )
    ,
    4

    √

    28

  • √

    7
    (
    −
    8

    √

    4
    )
    ,
    4

    √

    28

  • √

    7
    (
    −
    8
    )
    ,
    4

    √

    7

  • √

    28
    (
    −
    8
    )
    ,
    4

    √

    4

    √

    7
Question 6
6.
    • Find the discriminant of the quadratic equation
    • (
      −
      12
      x
      2
       
      −
      4
      x
      +
      8
      		)
      =
      0
  • 399
  • 401
  • 402
  • 397
  • 400
Question 7
7.
    • Find the roots of the quadratic equation correct to two decimal places
    • (
      30
      x
      2
       
      −
      30
      x
      		)
      =
      0
  • 1.00 , 0.00
  • 3.00 , 2.00
  • 0.00 , 7.00
  • 9.00 , 8.00
  • 2.00 , 1.00
Question 8
8.
The area of a rectangular room is 608.00 sq.m. If the length and breadth are increased by 8 m, the area would become 1344.00 sq.m. Find the original dimensions of the room
  • 15.00 m , 40.53 m
  • 4.00 m , 152.00 m
  • 8.00 m , 76.00 m
  • 16.00 m , 38.00 m
  • 3.00 m , 202.67 m
Question 9
9.
    • Solve :
    •  
       
      9
      x
      2
      		  −  
       
       
      4
      b
      2
    • = 0
  •  
     
    2
    b
    ,
    −
     
     
    2
    b
  • 0
    ,
    −
     
     
    4
    b
     
     
    3
  •  
     
    2
    b
     
     
    5
    ,
    −
     
     
    2
    b
     
     
    5
  •  
     
    2
    b
     
     
    3
    ,
    −
     
     
    2
    b
     
     
    3
  •  
     
    4
    b
     
     
    3
    ,
    0
Question 10
10.
    • Solve :
    •  
       
      9
      x
      2
      b
      2
      		  −  
       
       
      3
      a
      2
      x
      b
      		  −  
       
       
      2
      a
      4
    • = 0
  •  
     
    2
    a
    2
     
     
    3
    b
    ,
    −
     
     
    a
    2
     
     
    3
    b
  •  
     
    4
    a
    2
     
     
    3
    b
    ,
     
     
    a
    2
     
     
    3
    b
  •  
     
    2
    a
    2
     
     
    b
    ,
    −
     
     
    a
    2
     
     
    b
  • 0
    ,
    −
     
     
    a
    2
     
     
    b
  •  
     
    2
    a
    2
     
     
    5
    b
    ,
    −
     
     
    a
    2
     
     
    5
    b