SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Quadratic Equations
Question 1
1.
If the difference of two numbers is 2 and their product is 323, find the numbers
      • (-17)
      • ,
      • (-19)
      • or
      • 17
      • ,
      • 19
      • (-18)
      • ,
      • (-20)
      • or
      • 18
      • ,
      • 20
      • (-20)
      • ,
      • (-22)
      • or
      • 20
      • ,
      • 22
      • (-15)
      • ,
      • (-17)
      • or
      • 15
      • ,
      • 17
      • (-16)
      • ,
      • (-18)
      • or
      • 16
      • ,
      • 18
Question 2
2.
The area of a rectangular room is 300.00 sq.m. If the length and breadth are increased by 6 m, the area would become 558.00 sq.m. Find the original dimensions of the room
  • 2.00 m , 150.00 m
  • 3.00 m , 100.00 m
  • 12.00 m , 25.00 m
  • 4.00 m , 75.00 m
Question 3
3.
    • One pipe can fill a cistern in
    • 7
    • hours less than the other.
    • The two pipes together can fill it in
    • 5
      19
      25
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 9 hr , 16 hr
  • 11 hr , 19 hr
  • 10 hr , 17 hr
  • 8 hr , 15 hr
  • 7 hr , 13 hr
Question 4
4.
A two digit number is such that the product of the digits is 21. When 36 is subtracted from the number, the digits are reversed. Find the number
  • 72
  • 74
  • 73
  • 75
  • 70
Question 5
5.
    • Find the roots of the quadratic equation
    • (
      7
      x
      2
       
      +
      4
      x
      −
      4
      		)
      =
      0
  • (
    (
    0
    +
    4
    7

    √

    2
    )
    ,
    (
    −
    4
    7
    −
    4
    7

    √

    2
    )
    )
  • (
    (
    −
    2
    7
    +
    4
    7
    4
    √

    2
    )
    ,
    (
    −
    2
    7
    −
    8
    7
    )
    )
  • (
    (
    −
    2
    7
    +
    4
    7
    4
    √

    2
    )
    ,
    (
    −
    2
    7
    −
    4
    7

    √

    2
    )
    )
  • (
    (
    −
    2
    7
    +
    4
    7

    √

    2
    )
    ,
    (
    −
    2
    7
    −
    4
    7

    √

    2
    )
    )
  • (
    (
    0
    +
    4
    7

    √

    2
    )
    ,
    (
    −
    2
    7
    −
    8
    7
    )
    )
Question 6
6.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      +
      13
      x
      +
      36
      		)
      =
      0
  • (
    -4
    ,
    -9
    )
  • (
    -3
    ,
    -9
    )
  • (
    -3
    ,
    -10
    )
  • (
    -2
    ,
    -10
    )
  • (
    -2
    ,
    -11
    )
Question 7
7.
    • Solve :
    •  
       
      x
      2
       
      		  −  
       
       
      10
      x
      		  +  
       
       
      15
      		 = 
      0
  • (
    5

    √

    5
    +

    √

    10
    )
    ,
    (
    5

    √

    5
    −

    √

    10
    )
  • (
    5
    +

    √

    10
    )
    ,
    (
    5
    −

    √

    10
    )
  • (
    5
    +

    √

    30
    )
    ,
    (
    5
    −

    √

    30
    )
  • (
    5

    √

    4
    +

    √

    10
    )
    ,
    (
    5

    √

    4
    −

    √

    10
    )
  • (
    5
    +

    √

    20
    )
    ,
    (
    5
    −

    √

    20
    )
Question 8
8.
    • Find the roots of the quadratic equation
    • (
      56
      x
      2
       
      +
      5
      x
      −
      6
      		)
      =
      0
  • (
    2
    7
    ,
    (
    -3
    8
    		 )
    )
  • (
    4
    7
    ,
    (
    -1
    2
    		 )
    )
  • (
    2
    9
    ,
    (
    -1
    2
    		 )
    )
  • (
    4
    7
    ,
    (
    -5
    8
    		 )
    )
  • (
    2
    9
    ,
    (
    -3
    8
    		 )
    )
Question 9
9.
    • A play field is
    • 40.00 m
    • by
    • 30.00 m
    • .
    • It has a road all around it on the outside.
    • Find the width of the road if its area is
    • 17
      16
    • of the area of the play field
  • 8.50 m
  • 7.50 m
  • 9.50 m
  • 6.50 m
  • 5.50 m
Question 10
10.
    • For what values of
    • k
    • are the roots of
    •  
       
      (
      k
      +
      26
      		)
      x
      2
      		  +  
       
       
      (
      k
      −
      37
      		)
      x
      		  +  
       
       
      (
      k
      −
      54
      		)
      =
      0
    • equal
  • (
    (
    −
    125
    3
    )
    ,
    54
    )
  • (
    (
    −
    127
    3
    )
    ,
    55
    )
  • (
    (
    −
    211
    5
    )
    ,
    54
    )
  • (
    (
    −
    125
    3
    )
    ,
    52
    )
  • (
    (
    −
    211
    5
    )
    ,
    55
    )