NDA MATHS QUESTION BANK

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  1. If 10th term of GP is 9 and 4th
    term is 4, find 7th term.


(a) 6 (b) 14 (c)^ (d)^



  1. Find for following series


+................^
(a) - n-1 (b) 1- (c) n+ - 1
(d)



  1. If a, b, c, d, e, f are in AP, then
    (e-c) is equal to
    (a) 2(c-a) (b) 2(d-c) (c) 2(f-d) (d)
    d-c

  2. If = = where a, b, c are in
    GP then x, y, z are in
    (a) AP (b) GP (c) HP (d)None

  3. If A.M=10, G.M=8 for two
    numbers then one number
    exceeds other by
    (a) 8 (b) 10 (c) 12 (d) 16

  4. If a, b, c are in GP and a, 2b, 3c
    are in AP, find r such that 0<r<1


(a)^ (b)^ (c)^ (d)^



  1. If x= 1+^


+.^ /


.^ /
+.......... then ‘y’ is


equal to


(a)^ (b)^ (c)^ (d)^



  1. In a GP of positive terms any
    term is equal to one-third of sum
    of next two terms. Find common
    ratio.


(a) √^ (b) √^ (c) √^ (d)


  1. Find sum of all numbers from
    1 to 100 that are divisible by 2 or
    5?
    (a) 3600 (b) 3550 (c) 3050 (d)
    2550

  2. The 59th term of an AP is 449
    and 449th term is 59. Which term
    of AP is zero?
    (a) 501 (b) 502 (c) 508 (d) 509

  3. Find ((^ ))(( )) if G= 3H and
    A=AM, G= GM, H=HM
    (a)^ (b)^ (c) 3 (d) 5

  4. The sum of an infinite GP is 6.
    If sum of first two terms is^ , find
    1 st term
    (a) 1 (b)^ (c) 3 or^ (d) 9 or 3

  5. If , , term of a GP are
    in GP, then p, q, r are in
    (a) AP (b) GP (c) HP (d) None

  6. If sum up to ‘n’ terms of
    AP= - 2n, find nth term.
    (a) 3n- (b) 2n- 3


(c) 2n+3 (d) 2n- 5


  1. Find ⁄^. ⁄^. ⁄^ .......
    (a) ( ) (b) 6 (c)^ (d) 7

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