SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Progressions
Question 1
1.
    • How many terms of the A.P.
    • 2
      3
      ,
      5
      6
      ,
      1
      ,
      . . .
    • are needed to
    • make the sum
    • 49
      2
    • ?
  • 12
  • 13
  • 17
  • 15
  • 14
Question 2
2.
    • Which term of the G.P.
    • 2
    • ,
    		•
      2

      √

      2
    • ,
    		•
      4
    • . . .
    • is
    • 16
    • ?
  • t

    7
  • t

    6
  • t

    10
  • t

    4
  • t

    8
Question 3
3.
    • Find the common difference and next four terms of the
    • following A.P.
    • 8
      9
      ,
      19
      18
      ,
      11
      9
      ,
      . . .
    • =
      • 1
        1
        6
      • ;
      • 25
        18
      • ,
      • 14
        9
      • ,
      • 31
        18
      • ,
      • 17
        9
      • 1
        1
        6
      • ;
      • (
        -29
        18
        		 )
      • ,
      • (
        -22
        9
        		 )
      • ,
      • (
        -59
        18
        		 )
      • ,
      • (
        -37
        9
        		 )
      • 1
        1
        6
      • ;
      • 79
        18
      • ,
      • 50
        9
      • ,
      • 121
        18
      • ,
      • 71
        9
      • 1
        6
      • ;
      • 25
        18
      • ,
      • 14
        9
      • ,
      • 31
        18
      • ,
      • 17
        9
Question 4
4.
    • If a =
    • 8
    • and d =
    • 2
    • , find
    • t

      4
    • of the A.P.
  • 16
  • 15
  • 14
  • 12
  • 13
Question 5
5.
    • The common difference of the A.P.
    • 5
      4
      ,
      29
      20
      ,
      33
      20
      ,
      . . .
    • =
  • 1
    3
  • 1
    5
  • (
    -1
    5
    		 )
  • 3
    5
  • 1
    7
Question 6
6.
    • If a =
    • 8
      3
    • and d =
    • 1
      9
    • , find
    • t

      10
    • of the A.P.
  • 11
  • 13
    3
  • 11
    5
  • 3
  • 11
    3
Question 7
7.
    • Determine
    • t

      7
    • of an A.P whose
    • t

      13
    • is
    • 78
    • and common difference is
    • 6
  • 41
  • 42
  • 43
  • 39
  • 45
Question 8
8.
    • Given
    • t

      n
    • =
    • 33
    • , n =
    • 13
    • ,
    • S

      n
    • =
    • 273
    • , find d
  • 3
  • -1
  • 1
  • 2
  • 5
Question 9
9.
    • The product of two numbers is
    • 160
    • and their arithmetic mean is
    • 13
    • .
    • Find the two numbers.
  • (
    11
    ,
    17
    )
  • (
    13
    ,
    16
    )
  • (
    10
    ,
    15
    )
  • (
    18
    ,
    12
    )
  • (
    10
    ,
    16
    )
Question 10
10.
    • The first term of the A.P.
    • 4
      7
      ,
      27
      35
      ,
      34
      35
      ,
      41
      35
      ,
      48
      35
      ,
      . . .
    • =
  • 41
    35
  • 27
    35
  • 4
    7
  • 48
    35
  • 34
    35