ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
A motor boat can travel at a speed of 12.61 m/sec downstream and 4.73 m/sec upstream. How much distance can the boat travel in 24.48 sec in still water?
  • 212.24 m
  • 211.24 m
  • 210.24 m
  • 214.24 m
  • 213.24 m
Question 2
2.
    • Solve
    • (
      3
      x
      +
      5
      y
      +
      1
      		)
      =
      0
      (
      4
      x
      +
      2
      y
      +
      4
      		)
      =
      0
  • (
    (
    -11
    9
    		 )
    ,
    4
    5
    )
  • (
    -1
    ,
    4
    5
    )
  • (
    (
    -11
    9
    		 )
    ,
    4
    7
    )
  • (
    -1
    ,
    2
    7
    )
  • (
    (
    -9
    7
    		 )
    ,
    4
    7
    )
Question 3
3.
    • Solve the following pair of equations :
    •   −  
       
       
      12
       
       
      x
      		  +  
       
       
      16
       
       
      y
      =
       
       
      (
      −
      16
      		)
    •  
       
      2
       
       
      x
      		  +  
       
       
      1
       
       
      y
      =
       
       
      21
  • (
    1
    8
    ,
    1
    3
    )
  • (
    3
    8
    ,
    1
    5
    )
  • (
    1
    8
    ,
    1
    5
    )
  • (
    1
    10
    ,
    1
    5
    )
  • (
    1
    8
    ,
    (
    -1
    5
    		 )
    )
Question 4
4.
A motor boat can travel at a speed of 21.30 m/sec downstream and 5.66 m/sec upstream. How much time will it take to cross a distance of 374.07 m in still water?
  • 25.75 sec
  • 26.75 sec
  • 28.75 sec
  • 27.75 sec
  • 29.75 sec
Question 5
5.
    • Solve
    • (
      3
      x
      +
      9
      y
      +
      63
      		)
      =
      0
      (
      4
      x
      −
      3
      y
      −
      36
      		)
      =
      0
  • (
    4
    ,
    -8
    )
  • (
    3
    ,
    -8
    )
  • (
    6
    ,
    -8
    )
  • (
    3
    ,
    -9
    )
  • (
    3
    ,
    -11
    )
Question 6
6.
A motor boat can travel at a speed of 15.58 m/sec downstream and 6.12 m/sec upstream. What is the speed of the stream?
  • 3.73 m/sec
  • 6.73 m/sec
  • 4.73 m/sec
  • 5.73 m/sec
  • 2.73 m/sec
Question 7
7.
    • 5
    • men and
    • 2
    • women can do a piece of work in
    • 20
    • days.
    • 3
    • men and
    • 40
    • women can do the same work in
    • 10
    • days.
    • In how many days can
    • 2
    • men and
    • 3
    • women complete the same work?
  • 41
    67
    95
    days
  • 41
    65
    93
    days
  • 41
    23
    31
    days
  • 41
    67
    91
    days
  • 41
    67
    93
    days
Question 8
8.
    • Solve the following pair of equations :
    •   −  
       
       
      11
      x
      		  −  
       
       
      8
       
       
      y
      =
       
       
      64
    •   −  
       
       
      5
      x
      		  −  
       
       
      4
       
       
      y
      =
       
       
      28
  • (
    -8
    ,
    (
    -1
    3
    		 )
    )
  • (
    -8
    ,
    1
    )
  • (
    -8
    ,
    1
    3
    )
  • (
    -5
    ,
    1
    3
    )
  • (
    -7
    ,
    1
    3
    )
Question 9
9.
    • Solve the following pair of equations :
    •   −  
       
       
      13
       
       
      x
      		  −  
       
       
      11
       
       
      (
      y
      −
      9
      		)
      =
       
       
      36
    •   −  
       
       
      12
       
       
      x
      		  −  
       
       
      8
       
       
      (
      y
      −
      9
      		)
      =
       
       
      44
  • (
    1
    ,
    46
    5
    )
  • (
    (
    -1
    7
    		 )
    ,
    -2
    )
  • (
    (
    -1
    7
    		 )
    ,
    46
    5
    )
  • (
    2
    ,
    46
    5
    )
  • (
    (
    -1
    7
    		 )
    ,
    -1
    )
Question 10
10.
A motor boat can travel at a speed of 10.65 m/sec downstream and 2.77 m/sec upstream. What is the speed of the motor boat in still water?
  • 7.71 m/sec
  • 5.71 m/sec
  • 6.71 m/sec
  • 4.71 m/sec
  • 8.71 m/sec