CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • Solve :
    • (
       
       
      x
       
       
      (
      x
      −
      1
      		)
      		)
      2
      +
      1
      (
       
       
      x
       
       
      (
      x
      −
      1
      		)
      		)
      −
       
       
      56
      = 0
  • 5
    4
    ,
    8
    7
  • 3
    2
    ,
    10
    9
  • 5
    6
    ,
    2
    3
  • 7
    6
    ,
    8
    9
  • 9
    8
    ,
    8
    11
Question 2
2.
A stream flows from A to B, a distance of 6.00 km. A man who can row in still water at 10.00 kmph, can row up and down in 1.21 hr . What is the speed of the stream?
  • 2.00 kmph
  • 9.00 kmph
  • 3.00 kmph
  • 0.00 kmph
  • 1.00 kmph
Question 3
3.
The sum of the ages of a father and his son is 47 years whereas six years ago, the product of their ages was 124. Find the current ages of the son and the father.
  • 9 years , 38 years
  • 11 years , 36 years
  • 8 years , 39 years
  • 12 years , 35 years
  • 10 years , 37 years
Question 4
4.
In a two digit number, the unit's digit exceeds it ten's digit by 2 and the product of the given number and the sum of its digits is equal to 952 . Find the number
  • 68
  • 79
  • 57
  • 90
  • 46
Question 5
5.
    • Solve the quadratic equation
    •  
       
      x
      		  −  
       
       
      2
      =
       
       
      63
       
       
      x
  • (
    11
    ,
    -8
    )
  • (
    10
    ,
    -8
    )
  • (
    11
    ,
    -10
    )
  • (
    10
    ,
    -7
    )
  • (
    9
    ,
    -7
    )
Question 6
6.
The area of a rectangular room is 512.00 sq.m. If the length and breadth are increased by 8 m, the area would become 1152.00 sq.m. Find the original dimensions of the room
  • 64.00 m , 8.00 m
  • 16.00 m , 32.00 m
  • 4.00 m , 128.00 m
  • 3.00 m , 170.67 m
  • 15.00 m , 34.13 m
Question 7
7.
    • Find the discriminant of the quadratic equation
    • (
      5
      x
      2
       
      +
      24
      x
      +
      61
      		)
      =
      0
  • -644
  • -646
  • -645
  • -641
  • -643
Question 8
8.
    • A play field is
    • 100.00 m
    • by
    • 80.00 m
    • .
    • It has a road all around it on the outside.
    • Find the width of the road if its area is
    • 13
      5
    • of the area of the play field
  • 39.00 m
  • 40.00 m
  • 41.00 m
  • 38.00 m
  • 42.00 m
Question 9
9.
    • Solve :
    •  
       
      8
      x
      2
      		  −  
       
       
      2
      a
      b
      2
      x
      		  −  
       
       
      a
      2
      b
      4
    • = 0
  •  
     
    2
    a
    b
    2
     
     
    4
    ,
    −
     
     
    a
    b
    2
     
     
    4
  •  
     
    a
    b
    2
    ,
    −
     
     
    a
    b
    2
     
     
    3
  • 0
    ,
    −
     
     
    a
    b
    2
     
     
    2
  •  
     
    a
    b
    2
    ,
    0
  •  
     
    a
    b
    2
     
     
    3
    ,
    −
     
     
    a
    b
    2
     
     
    5
Question 10
10.
    • One pipe can fill a cistern in
    • 7
    • hours less than the other.
    • The two pipes together can fill it in
    • 9
      17
      39
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 15 hr , 22 hr
  • 13 hr , 21 hr
  • 16 hr , 23 hr
  • 18 hr , 25 hr
  • 17 hr , 24 hr