CBSE Board Practice

CBSE Grade X - Arthimetic Progressions
Question 1
1.
    • Given a =
    • 2
    • , d =
    • 4
    • ,
    • S

      n
    • =
    • 512
    • , find n
  • 19
  • 14
  • 16
  • 15
  • 17
Question 2
2.
    • If a =
    • 7

      2
    • and d =
    • 1

      9
    • , find
    • t

      3
    • of the A.P.
  • 67

    20
  • 23

    6
  • 67

    18
  • 65

    18
  • 67

    16
Question 3
3.
    • Given
    • t

      n
    • =
    • 52
    • , n =
    • 9
    • ,
    • S

      n
    • =
    • 252
    • , find d
  • 5
  • 7
  • 6
  • 8
  • 3
Question 4
4.
    • The measures of the interior angles of a convex polygon are in A.P.
    • If the smallest angle is
    • 130
    • and the largest angle is
    • 140
    • ,
    • then the number of sides of the polygon is
  • 7
  • 11
  • 6
  • 9
  • 8
Question 5
5.
    • Given
    • t

      n
    • =
    • 40
    • , n =
    • 5
    • ,
    • S

      n
    • =
    • 120
    • , find a
  • 9
  • 7
  • 11
  • 5
  • 8
Question 6
6.
    • If a =
    • 30
    • and b =
    • 48
    • ,
    • the arithmetic mean of a and b =
  • 39
  • 42
  • 40
  • 38
  • 37
Question 7
7.
    • Find
    • t

      10
    • of the A.P.
    • 7
      ,
      10
      ,
      13
      ,
      . . .
    • =
  • 32
  • 33
  • 35
  • 37
  • 34
Question 8
8.
    • If the
    • t

      n
    • of an A.P is
    • (
      5
      n
      +
      1
      )
    • , find
    • S

      n
      • (
        4
        ) (
        n
        2
         
        +
        n
        )

        2
      • +
      • n
      • (
        5
        ) (
        n
        2
         
        +
        n
        )

        2
      • +
      • n
      • (
        8
        ) (
        n
        2
         
        +
        n
        )

        2
      • +
      • 5
        n
      • (
        2
        ) (
        n
        2
         
        +
        n
        )

        2
      • +
      • 9
        n
      • (
        5
        ) (
        n
        2
         
        +
        n
        )

        2
      • +
      • 8
        n
Question 9
9.
    • The common difference of the A.P.
    • 8
      ,
      12
      ,
      16
      ,
      . . .
    • =
  • 5
  • 3
  • 6
  • 4
  • 1
Question 10
10.
    • Find
    • t

      23
    • of the A.P.
    • 1

      8
      ,
      3

      8
      ,
      5

      8
      ,
      . . .
    • =
  • 45

    8
  • 9

    2
  • 43

    8
  • 47

    8
  • 15

    2