SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Progressions
Question 1
1.
    • The
    • t

      8
    • of an A.P is
    • p
    • and
    • t

      9
    • is
    • q
    • .
    • Find
    • t

      12
    • and
    • t

      n
    • .
      • (
        −
        3
        p
        +
        4
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        9
        p
        +
        q
        n
        −
        8
        q
        		)
      • (
        5
        p
        −
        3
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        17
        p
        +
        q
        n
        −
        15
        q
        		)
      • (
        −
        3
        p
        +
        4
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        p
        +
        q
        n
        −
        q
        		)
      • (
        −
        2
        p
        +
        3
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        9
        p
        +
        q
        n
        −
        8
        q
        		)
      • (
        −
        4
        p
        +
        5
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        8
        p
        +
        q
        n
        −
        7
        q
        		)
Question 2
2.
    • Which term of the A.P.
    • 9
      ,
      10
      ,
      11
      ,
      . . .
    • is
    • 13
    • ?
  • t

    6
  • t

    2
  • t

    7
  • t

    5
  • t

    4
Question 3
3.
    • Insert
    • 4
    • arithmetic means between
    • 1
      2
    • and
    • 13
      6
    • .
  • 3
    2
    ,
    5
    2
    ,
    7
    2
    ,
    9
    2
  • 7
    10
    ,
    9
    10
    ,
    11
    10
    ,
    13
    10
  • 5
    6
    ,
    7
    6
    ,
    3
    2
    ,
    11
    6
  • 1
    6
    ,
    (
    -1
    6
    		 )
    ,
    (
    -1
    2
    		 )
    ,
    (
    -5
    6
    		 )
Question 4
4.
    • The first term of the A.P.
    • 2
      3
      ,
      11
      12
      ,
      7
      6
      ,
      17
      12
      ,
      5
      3
      ,
      . . .
    • =
  • 2
    3
  • 11
    12
  • 17
    12
  • 5
    3
  • 7
    6
Question 5
5.
Find the sum of all natural numbers between 1 and 100 which are multiples of 8?
  • 624
  • 625
  • 623
  • 622
  • 626
Question 6
6.
    • Which term of the A.P.
    • 9
      2
      ,
      37
      8
      ,
      19
      4
      ,
      . . .
    • is
    • 27
      4
    • ?
  • t

    18
  • t

    20
  • t

    17
  • t

    22
  • t

    19
Question 7
7.
    • The sum of first three terms of an A.P. is
    • 15
    • while their product is
    • 45
    • .
    • Find the A.P.
  • 1
    ,
    3
    ,
    5
    ,
    . . .
  • 1
    ,
    4
    ,
    7
    ,
    . . .
  • 2
    ,
    6
    ,
    10
    ,
    . . .
  • 1
    ,
    5
    ,
    9
    ,
    . . .
  • 3
    ,
    7
    ,
    11
    ,
    . . .
Question 8
8.
    • If a =
    • 2
    • and d =
    • 1
    • , find
    • t

      2
    • of the A.P.
  • 4
  • 3
  • 2
  • 6
  • 1
Question 9
9.
    • Which term of the G.P.
    • 5
      ,
      20
      ,
      80
      ,
      . . .
    • is
    • 81920
    • ?
  • t

    8
  • t

    10
  • t

    9
  • t

    7
  • t

    5
Question 10
10.
    • Find
    • t

      n
    • of the A.P
    • 7
      ,
      10
      ,
      13
      ,
      . . .
  • (
    3
    n
    +
    4
    		)
  • 4
  • (
    3
    n
    +
    7
    		)
  • (
    3
    n
    +
    11
    		)
  • (
    5
    n
    +
    4
    		)