SSC Board Practice

SSC Grade X - Progressions
Question 1
1.
    • Which term of the G.P.
    • 4
      ,
      16
      ,
      64
      ,
      . . .
    • is
    • 256
    • ?
  • t

    7
  • t

    5
  • t

    4
  • t

    3
  • t

    1
Question 2
2.
    • If a =
    • 6
    • and d =
    • 3
    • , find
    • t

      5
    • of the A.P.
  • 21
  • 17
  • 18
  • 16
  • 19
Question 3
3.
    • The
    • t

      15
    • of an A.P. is
    • 11

      2
    • and the
    • t

      18
    • is
    • 83

      14
    • .
    • Find
    • t

      5
    • .
  • 55

    14
  • 19

    4
  • 57

    14
  • 57

    16
  • 59

    14
Question 4
4.
    • The measures of the interior angles of a convex polygon are in A.P.
    • If the smallest angle is
    • 113
    • and the largest angle is
    • 127
    • ,
    • then the number of sides of the polygon is
  • 4
  • 9
  • 7
  • 5
  • 6
Question 5
5.
    • Determine
    • t

      8
    • of an A.P whose
    • t

      10
    • is
    • 53

      10
    • and common difference is
    • 1

      2
  • 43

    8
  • 41

    10
  • 43

    12
  • 43

    10
  • 9

    2
Question 6
6.
    • The
    • t

      7
    • of an A.P is
    • p
    • and
    • t

      8
    • is
    • q
    • .
    • Find
    • t

      11
    • and
    • t

      n
    • .
      • (
        3
        p
        +
        4
        q
        )
      • ,
      • (
        p
        n
        +
        8
        p
        +
        q
        n
        7
        q
        )
      • (
        4
        p
        +
        5
        q
        )
      • ,
      • (
        p
        n
        +
        7
        p
        +
        q
        n
        6
        q
        )
      • (
        3
        p
        +
        4
        q
        )
      • ,
      • (
        p
        n
        +
        p
        +
        q
        n
        q
        )
      • (
        4
        p
        2
        q
        )
      • ,
      • (
        p
        n
        +
        15
        p
        +
        q
        n
        13
        q
        )
      • (
        2
        p
        +
        3
        q
        )
      • ,
      • (
        p
        n
        +
        8
        p
        +
        q
        n
        7
        q
        )
Question 7
7.
    • Find
    • S

      6
    • of the A.P.
    • 9
      ,
      14
      ,
      19
      ,
      . . .
    • =
  • 131
  • 130
  • 126
  • 129
  • 128
Question 8
8.
    • Given
    • t

      n
    • =
    • 74
    • , a =
    • 2
    • , n =
    • 9
    • , find d
  • 10
  • 8
  • 9
  • 12
  • 7
Question 9
9.
    • If
    • S

      60
    • and
    • S

      20
    • of an A.P. are
    • 5790
    • and
    • 730
    • respectively, then
    • S

      80
    • =
  • 10121
  • 10117
  • 10123
  • 10120
Question 10
10.
    • The first term of the A.P.
    • 3
      ,
      8
      ,
      13
      ,
      18
      ,
      23
      ,
      . . .
    • =
  • 18
  • 13
  • 8
  • 23
  • 3