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2 .
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3 .The diameter of two circles are 18 cm and 8 cm. The distance between their centres is 13 cm. What is the number of common tangents?
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4 .What is the geometric means of the observations 125, 729, 1331?
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5 .The mean of 100 values is 45. If 15 is added to each of the first forty values and 5 is subtracted from each of the remaining sixty values, the new mean becomes
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6 .A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 6 cm and length of the tube is 10 cm. If the thickness of the metal used is 1 cm, then the outer curved surface area of the tube is
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7 .For a plot of land of 100 m × 80 m, the length to be raised by spreading the earth from stack of a rectangular base 10 m × 8 m and vertical section being a trapezium of height 2 m. The top of the stack is 8 m × 5 m. How many centimeters can the level raised?
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8 .If $3^x$ x + 27($3^-x$) = 12, then what is the value of x?
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9 .For which value of k does the pair of equations $x^2-y^2$ = 0 and $(x– k)^2$ + $y^2$ = 1 yield a unique positive solution of x?
(a).2
(b).0
(c)$ \sqrt{2}$
(d)$-\sqrt{2}$
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10 .The expression $sin^2$ x + $cos^2$ x-1=0 is satisfied by how many values of x?
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