SSC Board Practice

SSC Grade X - Progressions
Question 1
1.
    • Find
    • S

      13
    • of the A.P.
    • 8

      5
      ,
      61

      35
      ,
      66

      35
      ,
      . . .
    • =
  • 1118

    35
  • 1118

    37
  • 1116

    35
  • 1118

    33
  • 32
Question 2
2.
    • Determine
    • t

      5
    • of a G.P. whose
    • t

      7
    • is
    • 1

      144
    • and common ratio is
    • 1

      2
    • .
  • (
    -1

    36
    )
  • 1

    36
  • 1

    38
  • 1

    34
  • 1

    12
Question 3
3.
    • The product of two numbers is
    • 3339
    • and their arithmetic mean is
    • 58
    • .
    • Find the two numbers.
  • (
    53
    ,
    62
    )
  • (
    54
    ,
    64
    )
  • (
    65
    ,
    55
    )
  • (
    53
    ,
    63
    )
  • (
    55
    ,
    63
    )
Question 4
4.
    • The first term of the G.P.
    • 4
      ,
      12
      ,
      36
      ,
      108
      ,
      324
      ,
      . . .
    • =
  • 12
  • 324
  • 108
  • 4
  • 36
Question 5
5.
    • The common ratio of the G.P.
    • 1

      2
      ,
      1

      14
      ,
      1

      98
      ,
      . . .
    • =
  • 3

    7
  • 1

    5
  • (
    -1

    7
    )
  • 1

    9
  • 1

    7
Question 6
6.
    • Find the common difference and next four terms of the
    • following A.P.
    • 7
      ,
      14
      ,
      21
      ,
      . . .
    • =
      • 8
      • ;
      • 31
      • ,
      • 39
      • ,
      • 47
      • ,
      • 55
      • 7
      • ;
      • 28
      • ,
      • 35
      • ,
      • 42
      • ,
      • 49
      • 8
      • ;
      • 25
      • ,
      • 31
      • ,
      • 37
      • ,
      • 43
      • 8
      • ;
      • 28
      • ,
      • 35
      • ,
      • 42
      • ,
      • 49
Question 7
7.
    • The
    • t

      6
    • of a G.P. is
    • 12500
    • and
    • t

      8
    • is
    • 312500
    • .
    • Find
    • t

      3
    • .
  • 101
  • 99
  • 102
  • 100
  • 98
Question 8
8.
    • Given a =
    • 3
    • , d =
    • 3
    • , n =
    • 14
    • , find
    • S

      n
  • 316
  • 315
  • 313
  • 317
  • 314
Question 9
9.
Find the sum of all natural numbers between 100 and 200 which are multiples of 9?
  • 1686
  • 1683
  • 1682
  • 1680
  • 1684
Question 10
10.
    • Given a =
    • 9
    • , d =
    • 9
    • ,
    • S

      n
    • =
    • 252
    • , find n
  • 4
  • 9
  • 8
  • 7
  • 6