CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Arthimetic Progressions
Question 1
1.
    • Determine k so that
    • (
      5
      k
      +
      8
      		)
    • ,
    • (
      4
      k
      +
      4
      		)
    • and
    • (
      4
      k
      +
      6
      		)
    • are the consecutive terms of an A.P
  • -5
  • -6
  • -8
  • -4
  • -7
Question 2
2.
    • How many terms of the A.P.
    • 1
      7
      ,
      16
      63
      ,
      23
      63
      ,
      . . .
    • are needed to
    • make the sum
    • 53
      21
    • ?
  • 6
  • 7
  • 5
  • 9
  • 3
Question 3
3.
    • How many terms of the A.P.
    • 4
      ,
      11
      ,
      18
      ,
      . . .
    • are needed to
    • make the sum
    • 429
    • ?
  • 8
  • 12
  • 11
  • 14
  • 10
Question 4
4.
The sum of first n natural number is
  • n
    2
    (
    n
    +
    1
    		)
    2
    4
  • (
    n
    		) (
    n
    +
    1
    		)
    2
  • (
    n
    		) (
    n
    −
    1
    		)
    2
  • (
    n
    −
    1
    		) (
    n
    +
    1
    		)
    2
  • (
    n
    		) (
    n
    +
    1
    		) (
    2
    n
    +
    1
    		)
    6
Question 5
5.
    • Find the common difference and next four terms of the
    • following A.P.
    • 3
      ,
      11
      ,
      19
      ,
      . . .
    • =
      • 9
      • ;
      • 24
      • ,
      • 31
      • ,
      • 38
      • ,
      • 45
      • 8
      • ;
      • 27
      • ,
      • 35
      • ,
      • 43
      • ,
      • 51
      • 9
      • ;
      • 30
      • ,
      • 39
      • ,
      • 48
      • ,
      • 57
      • 9
      • ;
      • 27
      • ,
      • 35
      • ,
      • 43
      • ,
      • 51
Question 6
6.
    • Find
    • t

      23
    • of the A.P.
    • 3
      8
      ,
      17
      24
      ,
      25
      24
      ,
      . . .
    • =
  • 185
    24
  • 187
    24
  • 185
    22
  • 61
    8
  • 185
    26
Question 7
7.
    • If a =
    • 10
    • and b =
    • 11
    • ,
    • the arithmetic mean of a and b =
  • 21
    2
  • 19
    2
  • 23
    2
  • 21
    4
  • 21
Question 8
8.
    • Find
    • t

      n
    • of the A.P
    • 6
      ,
      11
      ,
      16
      ,
      . . .
  • (
    3
    n
    +
    1
    		)
  • (
    5
    n
    +
    1
    		)
  • (
    6
    n
    +
    1
    		)
  • (
    5
    n
    +
    6
    		)
  • (
    5
    n
    +
    7
    		)
Question 9
9.
Find the sum of all natural numbers between 100 and 200 which are multiples of 5?
  • 2850
  • 2851
  • 2847
  • 2849
  • 2853
Question 10
10.
    • Given
    • t

      n
    • =
    • 77
    • , d =
    • 6
    • , n =
    • 13
    • , find
    • S

      n
  • 534
  • 532
  • 530
  • 536
  • 533