1 .If (a â€“ b) = 3, (bâ€“ c) = 5 and (câ€“ 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

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 â€“'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 â€“

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 â€“

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 30Â° and at a distance of 30 m from the root, then the height of the tree was â€“

(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 â€“

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 â€“

(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