SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Polynomials
Question 1
1.
    • The remainder when
    • (
      −
      7
      d
      4
       
      +
      3
      d
      3
       
      +
      2
      d
      2
       
      −
      8
      d
      −
      9
      		)
    • is divided by
    • (
      d
      2
       
      +
      8
      d
      −
      9
      		)
    • is
  • (
    4788
    d
    −
    4806
    		)
  • (
    4786
    d
    −
    4806
    		)
  • (
    4790
    d
    −
    4806
    		)
  • (
    4787
    d
    −
    4806
    		)
  • (
    4785
    d
    −
    4806
    		)
Question 2
2.
Which of the following algebraic expressions is a binomial?
  • (
    −
    3
    h
    4
     
    +
    7
    h
    3
     
    −
    7
    h
    2
     
    −
    9
    h
    −
    4
    		)
  • (
    6
    h
    4
     
    +
    2
    h
    3
     
    +
    5
    h
    2
     
    +
    5
    h
    +
    6
    		)
  • (
    −
    5
    h
    4
     
    −
    6
    h
    3
     
    +
    4
    h
    2
     
    		)
  • (
    −
    6
    h
    3
     
    −
    7
    		)
  • (
    −
    3
    h
    4
     
    		)
Question 3
3.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      3
      4
      x
      +
      1
      		)
      • line with point
      • X
      • line with point
      • T
      • line with point
      • U
      • line with point
      • V
      • line with point
      • W
Question 4
4.
    • Which of the following are true for the parabola
    • y
      =
      a
      x
      2
      		  +  
      b
      x
      		  +  
      c
    • ?
a)
    • If the curve meets the X-axis at two places, there are two distinct non-real roots.
b)
    • If the curve does not meet the X-axis ,
    • b
      2
      		  −  
      4
      a
      c
      < 0
c)
    • If the curve meets the X-axis at only one point ,
    • b
      2
      		  −  
      4
      a
      c
      =
      0
d)
    • If the curve meets the X-axis at only one point ,
    • b
      2
      		  −  
      4
      a
      c
      >
      0
e)
    • If the curve does not meet the X-axis,
    • there are no real roots for
    • y
      =
      a
      x
      2
      		  +  
      b
      x
      		  +  
      c
  • {a,d,e}
  • {b,c,e}
  • {a,b,c}
  • {d,c}
  • {a,b}
Question 5
5.
    • Find the quadratic equation with roots
    • (
      5
      8
      ,
      5
      8
      )
  • (
    48
    x
    2
     
    −
    70
    x
    +
    25
    		)
    =
    0
  • (
    16
    x
    2
     
    −
    18
    x
    +
    5
    		)
    =
    0
  • (
    64
    x
    2
     
    −
    96
    x
    +
    35
    		)
    =
    0
  • (
    64
    x
    2
     
    −
    64
    x
    +
    15
    		)
    =
    0
  • (
    64
    x
    2
     
    −
    80
    x
    +
    25
    		)
    =
    0
Question 6
6.
    • The constant term in polynomial
    • (
      −
      6
      m
      −
      5
      		)
    • is
  • -5
  • -8
  • -4
  • -6
  • -3
Question 7
7.
    • The quotient when
    • (
      r
      2
       
      −
      8
      r
      		)
    • is divided by
    • (
      r
      −
      3
      		)
    • is
  • (
    2
    r
    −
    5
    		)
  • (
    −
    5
    		)
  • (
    3
    r
    −
    5
    		)
  • (
    r
    −
    5
    		)
  • (
    −
    r
    −
    5
    		)
Question 8
8.
Which of the following algebraic expressions is a linear polynomial?
  • 4
  • (
    −
    7
    c
    +
    2
    		)
  • (
    −
    5
    c
    3
     
    −
    7
    c
    2
     
    −
    8
    c
    +
    9
    		)
  • (
    4
    c
    5
     
    −
    6
    c
    3
     
    +
    5
    c
    2
     
    −
    2
    c
    +
    1
    		)
  • (
    c
    2
     
    +
    2
    c
    +
    7
    		)
Question 9
9.
    • The value of the polynomial
    • (
      −
      5
      t
      u
      v
      		)
    • at
    •  
    • t
    • =
    • 4
    • ,
    • u
    • =
    • (-4)
    • ,
    • v
    • =
    • (-5)
    •  
    • is
  • -402
  • -401
  • -399
  • -400
  • -397
Question 10
10.
    • If one of the roots of the cubic equation
    • (
      x
      3
       
      −
      12
      x
      2
       
      +
      39
      x
      −
      28
      		)
      =
      0
    • is
    • 7
    • ,
    • find the remaining real roots
  • (
    8
    ,
    5
    )
  • (
    6
    ,
    3
    )
  • (
    9
    ,
    6
    )
  • (
    4
    ,
    1
    )