NDA MATHS QUESTION BANK

(sacavldel) #1

tree?
(a) 20 m (b) 40 m (c) 60 m (d) 80 m



  1. The angle of elevation of top of a
    tree on the bank of a river from its
    other bank is 60 and from a point 20
    m further away from this is 30. The
    width of the river is:


(a) 10 m (b) 10√ m (c) 20m (d)


20 √ m



  1. A man on the top of a rock rising on
    a sea-shore observes a boat coming
    towards it. If it takes 10 minutes for the
    angle of depression to change from 30
    to 60, how soon will the boat reach the
    shore?
    (a) 20 min (b) 15 min (c) 10 min (d) 5
    min
    15. A vertical pole with height more
    then 100 m consists of two parts, the
    lower being one-third of the whole. At a
    point on a horizontal plane through the
    foot and 40 m from it, the upper part
    subtends an angle whose tangent is^.
    What is the height of the pole?
    (a) 110 m (b) 200 m (c) 120 m (d)
    150 m
    16. The angle of elevation of the top of
    a pillar of height h at a point on the
    ground at a distance x from the pillar is
    30 . On walking a distance ‘d’ towards
    the pillar the angle of elevation
    becomes 60. Then which one of the
    following is correct?
    (a) x= d+h (b) x= 3d/2 (c) x= 5d/4 (d)
    x= 2d


BINARY NUMBERS



  1. The number 10101111 in binary
    system is represented in decimal
    system by which one of the following
    numbers?
    (a) 157 (b) 175 (c) 571 (d) 751

  2. If the sum of the binary numbers
    ( ) , ( ) and
    ( ) is the binary number
    ( ) , then the values of x and
    y, respectively, are:
    (a) 1 and 1 (b) 1 and 0 (c) 0 and 1
    (d) 0 and 0
    3. What is ( ) ( ) - ( )
    equal to?
    (a) ( ) (b) ( ) (c) ( )
    (d) ( )
    4. The number 1753, in binary notation
    is written as:
    (a) ( )
    (b)( ) (c)
    ( ) (d) ( )
    5. What is the binary number
    equivalent of the decimal number
    32.25?
    (a) 100010.10 (b) 100000.10 (c)
    100010.01 (d) 100000.

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