SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Progressions
Question 1
1.
    • The common difference of the A.P.
    • 8
      ,
      16
      ,
      24
      ,
      . . .
    • =
  • 7
  • 9
  • 11
  • 8
  • 6
Question 2
2.
    • Find the common ratio and next four terms of the following G.P.
    • 5
    • ,
    • 1.0
    • ,
    • 0.20
      • 0.2
      • ;
      • 0.040
      • ,
      • 0.0080
      • ,
      • 0.00160
      • ,
      • 0.000320
      • 0.3
      • ;
      • 0.040
      • ,
      • 0.0080
      • ,
      • 0.00160
      • ,
      • 0.000320
      • 0.3
      • ;
      • 0.135
      • ,
      • 0.0405
      • ,
      • 0.01215
      • ,
      • 0.003645
      • 0.3
      • ;
      • 0.005
      • ,
      • 0.0005
      • ,
      • 0.00005
      • ,
      • 0.000005
Question 3
3.
    • The sum of first three terms of a G.P. is
    • 455
      243
    • while their product is
    • 125
      19683
    • .
    • Find the G.P.
  • 5
    3
    ,
    (
    -5
    27
    		 )
    ,
    5
    243
    ,
    . . .
  • 5
    3
    ,
    5
    21
    ,
    5
    147
    ,
    . . .
  • 1
    ,
    1
    9
    ,
    1
    81
    ,
    . . .
  • 5
    3
    ,
    5
    27
    ,
    5
    243
    ,
    . . .
  • 7
    3
    ,
    7
    27
    ,
    7
    243
    ,
    . . .
Question 4
4.
    • Insert
    • 2
    • arithmetic means between
    • 2
    • and
    • 20
    • .
  • 6
    ,
    10
  • 8
    ,
    14
  • 11
    ,
    20
  • 7
    ,
    12
  • 9
    ,
    16
Question 5
5.
If a, b, c are three consecutive terms of an A.P, then which of the following are true?
a)
    • a
      b
    • ,
    • b
      c
    • ,
    • c
      a
    • are in G.P.
b)
    • k
      a
    • ,
    • k
      b
    • ,
    • k
      c
    • are in G.P.
c)
    • a
      k
    • ,
    • b
      k
    • ,
    • c
      k
    • are in G.P.
d)
    • k
      b
    • ,
    • k
      a
    • ,
    • k
      c
    • are in G.P.
  • {b}
  • {a,b}
  • {d,a,b}
  • {c,b}
Question 6
6.
    • How many terms of the A.P.
    • 7
      5
      ,
      61
      40
      ,
      33
      20
      ,
      . . .
    • are needed to
    • make the sum
    • 1919
      40
    • ?
  • 20
  • 22
  • 17
  • 19
  • 18
Question 7
7.
    • Find
    • t

      n
    • of the A.P
    • 4
      ,
      8
      ,
      12
      ,
      16
      ,
      20
      ,
      . . .
  • 3
    n
  • 6
    n
  • 4
    n
  • (
    4
    n
    +
    4
    		)
Question 8
8.
If there are n arithmetic means between a and b, the common difference d =
  • (
    a
    +
    b
    		)
    (
    n
    +
    1
    		)
  • (
    b
    −
    a
    		)
    (
    n
    +
    1
    		)
  • (
    n
    −
    1
    		)
    (
    a
    +
    b
    		)
  • (
    b
    −
    a
    		)
    (
    n
    −
    1
    		)
  • (
    a
    −
    b
    		)
    (
    n
    +
    1
    		)
Question 9
9.
    • Determine
    • t

      3
    • of a G.P. whose
    • t

      6
    • is
    • 1
      5184
    • and common ratio is
    • 1
      6
    • .
  • 1
    26
  • (
    -1
    24
    		 )
  • 1
    8
  • 1
    22
  • 1
    24
Question 10
10.
    • The sum of first three terms of an A.P. is
    • 48
    • while their product is
    • 3312
    • .
    • Find the A.P.
  • 11
    ,
    18
    ,
    25
    ,
    . . .
  • 10
    ,
    17
    ,
    24
    ,
    . . .
  • 9
    ,
    13
    ,
    17
    ,
    . . .
  • 9
    ,
    16
    ,
    23
    ,
    . . .
  • 9
    ,
    15
    ,
    21
    ,
    . . .