SSC Board Practice

SSC Grade X - Progressions
Question 1
1.
    • Which term of the G.P.
    • 2
      ,
      6
      ,
      18
      ,
      . . .
    • is
    • 1458
    • ?
  • t

    8
  • t

    4
  • t

    10
  • t

    6
  • t

    7
Question 2
2.
    • The first term of the A.P.
    • 5

      3
      ,
      16

      9
      ,
      17

      9
      ,
      2
      ,
      19

      9
      ,
      . . .
    • =
  • 16

    9
  • 5

    3
  • 2
  • 19

    9
  • 17

    9
Question 3
3.
    • If
    • S

      70
    • and
    • S

      20
    • of an A.P. are
    • 12565
    • and
    • 1090
    • respectively, then
    • S

      90
    • =
  • 20655
  • 20652
  • 20656
  • 20658
Question 4
4.
    • Given
    • t

      n
    • =
    • 27
    • , n =
    • 8
    • ,
    • S

      n
    • =
    • 132
    • , find a
  • 5
  • 3
  • 7
  • 6
  • 8
Question 5
5.
    • Find the next
    • 4
    • terms of the following A.P.
    • (
      a
      +
      3
      b
      )
      ,
      (
      −
      4
      a
      +
      10
      b
      )
      ,
      (
      −
      9
      a
      +
      17
      b
      )
      ,
      . . .
  • (
    −
    13
    a
    +
    27
    b
    )
    ,
    (
    −
    18
    a
    +
    34
    b
    )
    ,
    (
    −
    23
    a
    +
    41
    b
    )
    ,
    (
    −
    28
    a
    +
    48
    b
    )
  • (
    −
    8
    a
    +
    20
    b
    )
    ,
    (
    −
    13
    a
    +
    27
    b
    )
    ,
    (
    −
    18
    a
    +
    34
    b
    )
    ,
    (
    −
    23
    a
    +
    41
    b
    )
  • (
    −
    14
    a
    +
    24
    b
    )
    ,
    (
    −
    19
    a
    +
    31
    b
    )
    ,
    (
    −
    24
    a
    +
    38
    b
    )
    ,
    (
    −
    29
    a
    +
    45
    b
    )
  • (
    −
    19
    a
    +
    31
    b
    )
    ,
    (
    −
    24
    a
    +
    38
    b
    )
    ,
    (
    −
    29
    a
    +
    45
    b
    )
    ,
    (
    −
    34
    a
    +
    52
    b
    )
  • (
    −
    15
    a
    +
    21
    b
    )
    ,
    (
    −
    20
    a
    +
    28
    b
    )
    ,
    (
    −
    25
    a
    +
    35
    b
    )
    ,
    (
    −
    30
    a
    +
    42
    b
    )
Question 6
6.
    • Which term of the G.P.
    • 1

      5
      ,
      1

      20
      ,
      1

      80
      ,
      . . .
    • is
    • 1

      320
    • ?
  • t

    5
  • t

    1
  • t

    6
  • t

    4
  • t

    3
Question 7
7.
Find the sum of all natural numbers between 100 and 200 which are multiples of 8?
  • 1773
  • 1775
  • 1776
  • 1777
  • 1778
Question 8
8.
Find the sum of all natural numbers between 1 and 100 which are multiples of 5?
  • 949
  • 952
  • 951
  • 947
  • 950
Question 9
9.
    • How many terms of the A.P.
    • 6

      7
      ,
      61

      63
      ,
      68

      63
      ,
      . . .
    • are needed to
    • make the sum
    • 568

      21
    • ?
  • 17
  • 16
  • 18
  • 15
  • 14
Question 10
10.
    • If a =
    • 7

      6
    • and d =
    • 1

      6
    • , find
    • t

      10
    • of the A.P.
  • 8

    5
  • 8

    3
  • 10

    3
  • 8
  • 2