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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