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.
    • 6
      ,
      14
      ,
      22
      ,
      . . .
    • are needed to
    • make the sum
    • 600
    • ?
  • 11
  • 12
  • 9
  • 13
  • 15
Question 2
2.
    • The product of two numbers is
    • 56
    • and their arithmetic mean is
    • 9
    • .
    • Find the two numbers.
  • (
    4
    ,
    13
    )
  • (
    16
    ,
    6
    )
  • (
    7
    ,
    14
    )
  • (
    5
    ,
    15
    )
  • (
    4
    ,
    14
    )
Question 3
3.
    • The sum of first three terms of an A.P. is
    • 36
    • while their product is
    • 1428
    • .
    • Find the A.P.
  • 7
    ,
    11
    ,
    15
    ,
    . . .
  • 7
    ,
    12
    ,
    17
    ,
    . . .
  • 7
    ,
    10
    ,
    13
    ,
    . . .
  • 10
    ,
    15
    ,
    20
    ,
    . . .
  • 8
    ,
    13
    ,
    18
    ,
    . . .
Question 4
4.
    • Insert
    • 1
    • arithmetic means between
    • 5
      9
    • and
    • 43
      45
    • .
  • 34
    45
  • 16
    45
  • 8
    9
  • 44
    63
  • 52
    45
Question 5
5.
    • Determine
    • t

      9
    • of an A.P whose
    • t

      13
    • is
    • 13
      6
    • and common difference is
    • 1
      9
  • 31
    18
  • 29
    18
  • 31
    20
  • 31
    16
  • 11
    6
Question 6
6.
    • The first term of the A.P.
    • 7
      ,
      14
      ,
      21
      ,
      28
      ,
      35
      ,
      . . .
    • =
  • 28
  • 21
  • 7
  • 35
  • 14
Question 7
7.
    • If a =
    • 7
      5
    • and d =
    • 1
      9
    • , find
    • t

      6
    • of the A.P.
  • 2
  • 88
    47
  • 88
    43
  • 88
    45
  • 86
    45
Question 8
8.
Find the sum of first 99 natural numbers
  • 4951
  • 4953
  • 4950
  • 4948
  • 4949
Question 9
9.
    • Given a =
    • 1
    • , r =
    • 0.40
    • find
    • t

      3
    • and
    • t

      n
    • of the G.P.
      • 0.26
      • ;
      • 1.40
        (
        n
        −
        1
        		)
      • 0.16
      • ;
      • 0.40
        (
        n
        −
        1
        		)
      • -0.04
      • ;
      • 0.40
        (
        n
        −
        1
        		)
      • 0.06
      • ;
      • 0.40
        (
        n
        −
        1
        		)
      • 0.36
      • ;
      • 0.60
        (
        n
        −
        1
        		)
Question 10
10.
    • Given a =
    • 4
    • , d =
    • 3
    • ,
    • S

      n
    • =
    • 50
    • , find
    • t

      n
  • 13
  • 15
  • 16
  • 17
  • 18