CBSE Board Practice

CBSE Grade X - Arthimetic Progressions
Question 1
1.
    • The common difference of the A.P.
    • 4
      ,
      12
      ,
      20
      ,
      . . .
    • =
  • 9
  • 8
  • 6
  • 11
  • 7
Question 2
2.
    • The
    • t

      11
    • of an A.P. is
    • 85

      21
    • and the
    • t

      13
    • is
    • 33

      7
    • .
    • Find
    • t

      7
    • .
  • 19

    9
  • 3
  • 19

    7
  • 17

    7
  • 19

    5
Question 3
3.
    • Find
    • S

      25
    • of the A.P.
    • 3
      ,
      8
      ,
      13
      ,
      . . .
    • =
  • 1577
  • 1573
  • 1575
  • 1574
  • 1576
Question 4
4.
    • How many terms of the A.P.
    • 8

      5
      ,
      77

      45
      ,
      82

      45
      ,
      . . .
    • are needed to
    • make the sum
    • 716

      45
    • ?
  • 10
  • 8
  • 9
  • 7
  • 6
Question 5
5.
    • The common difference of the A.P.
    • 9

      5
      ,
      68

      35
      ,
      73

      35
      ,
      . . .
    • =
  • 1

    9
  • 1

    7
  • 3

    7
  • (
    -1

    7
    )
  • 1

    5
Question 6
6.
    • Given
    • t

      n
    • =
    • 27
    • , a =
    • 3
    • , n =
    • 7
    • , find d
  • 4
  • 5
  • 3
  • 7
  • 2
Question 7
7.
    • The first term of the A.P.
    • 1

      7
      ,
      11

      28
      ,
      9

      14
      ,
      25

      28
      ,
      8

      7
      ,
      . . .
    • =
  • 9

    14
  • 11

    28
  • 8

    7
  • 25

    28
  • 1

    7
Question 8
8.
    • If a =
    • 160
    • and b =
    • 178
    • ,
    • the arithmetic mean of a and b =
  • 171
  • 168
  • 170
  • 169
  • 166
Question 9
9.
    • If a =
    • 41

      20
    • and b =
    • 23

      10
    • ,
    • the arithmetic mean of a and b =
  • 87

    38
  • 17

    8
  • 87

    40
  • 89

    40
  • 29

    14
Question 10
10.
    • The
    • t

      5
    • of an A.P is
    • p
    • and
    • t

      6
    • is
    • q
    • .
    • Find
    • t

      14
    • and
    • t

      n
    • .
      • (
        3
        p
        +
        5
        q
        )
      • ,
      • (
        p
        n
        +
        11
        p
        +
        q
        n
        9
        q
        )
      • (
        7
        p
        +
        8
        q
        )
      • ,
      • (
        p
        n
        +
        6
        p
        +
        q
        n
        5
        q
        )
      • (
        8
        p
        +
        9
        q
        )
      • ,
      • (
        p
        n
        +
        6
        p
        +
        q
        n
        5
        q
        )
      • (
        9
        p
        +
        10
        q
        )
      • ,
      • (
        p
        n
        +
        5
        p
        +
        q
        n
        4
        q
        )
      • (
        8
        p
        +
        9
        q
        )
      • ,
      • (
        p
        n
        +
        p
        +
        q
        n
        q
        )