1 . If (a – b) = 3, (b– c) = 5 and (c– a) = 1,
    then what will be the value of $a^3+b^3+c^3-3abc\over a+b+c $ ?
    A.  10.5
    B.  15.5
    C.  17.5
    D.  20.5
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    2 . 'A' sells an article to 'B' at a profit of 20% and 'B' sells it to 'C' at a profit of 25%. If 'C' pays ` 1200, the cost price of the article originally (in ` ) was –'A' sells an article to 'B' at a profit of 20% and 'B' sells it to 'C' at a profit of 25%. If 'C' pays ` 1200, the cost price of the article originally (in ` ) was –
    A.  1000
    B.  800
    C.  700
    D.  600
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    3 . If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of xis –
    A.  50
    B.  51
    C.  52
    D.  53
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    4 . By what least number should 675 be multiplied to obtain a number which is a perfect cube ?
    A.  5
    B.  6
    C.  7
    D.  8
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    5 . Ram Kumar sold his motor cycle to Mohan at a loss of 28%. Mohan spent ` 1680 on its repairs and sold the motor cycle to Sohan for ` 35910, thereby, making a profit of 12.5%. Find the cost of the motor cycle for Ram Kumar.
    A.  ` 38000
    B.  ` 35000
    C.  ` 40000
    D.  ` 42000
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    6 . A man buys some quantity of wheat for ` 2400. He sells one-third of it at a profit of 5%. At what per cent gain should he should sell the remaining two-third so as to make an overall prof it of 10% on the whole transaction ?
    A.  11.5%
    B.  12.5%
    C.  13%
    D.  13.5%
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    7 . A tree is broken by the wind. If the top of the tree stuck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree was –

    (A) 15$\sqrt3$
    m (B) 20$\sqrt3$ m
    (C) 25$\sqrt3$
    m (D) 30$\sqrt3$ m
    A.  a
    B.  b
    C.  c
    D.  d
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    8 . If cos A + cos$^ 2$ A = 1, then sin$^ 2$ A + sin$^ 4$ A is equal to
    A.  0
    B.  -1
    C.  1
    D.  1/2
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    9 . If $\sqrt2^x$ x = 256, then the value of xis –
    A.  14
    B.  16
    C.  18
    D.  20
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    10 . One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. Then 5 men and 12 boys can do complete work in –

    (A) 39$1\over11$ hours
    (B) 42$7\over11$ hours
    (C) 43$7\over11$ hours
    (D) 44 hours
    A.  a
    B.  b
    C.  c
    D.  d
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