31. The following table gives weekly wages in rupees of workers in a certain commercial organization. The frequency of class 49-52 is missing. It is known that the mean frequency distribution is 47.2. Find the missing frequency.(44)
Weekly Wages (Rs.) 40-43 43-46 46-49 49-52 52-55
Number of workers 31 58 60 ? 27
32. The area of an equilateral triangle is 17300 cm2. With each vertex of the triangle as centre, a circle is drawn with a radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circles.( π = 3.14 and √3 =1.73 )(1600cm2)
33. A solid composed of a cylinder with hemi spherical ends . The whole height of the solid is 19cm and the radius of the cylinder is 3.5cm. Find the weight of the solid if 1cm3 of the metal weighs 4.5g. (2111.8g or 2.1kg)
34. Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level will rise by 21cm.(2 hour)
35. Find the zeroes of the polynomial and verify the relationship between zeroes and coefficients.(-2 , 0)
36. For what value of c does the following system of equations represent parallel lines? (c=6,)
37. Using Fundamental theorem of arithmetic, find the LCM of 2231 and 2813(6275803)
38. Show that is irrational
39. Find a quadratic polynomial whose sum and product of the zeros are and respectively.
40. If each side of an equilateral triangle is ‘2a’ units, what is the length of its altitude?(√3a)
Weekly Wages (Rs.) 40-43 43-46 46-49 49-52 52-55
Number of workers 31 58 60 ? 27
32. The area of an equilateral triangle is 17300 cm2. With each vertex of the triangle as centre, a circle is drawn with a radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circles.( π = 3.14 and √3 =1.73 )(1600cm2)
33. A solid composed of a cylinder with hemi spherical ends . The whole height of the solid is 19cm and the radius of the cylinder is 3.5cm. Find the weight of the solid if 1cm3 of the metal weighs 4.5g. (2111.8g or 2.1kg)
34. Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level will rise by 21cm.(2 hour)
35. Find the zeroes of the polynomial and verify the relationship between zeroes and coefficients.(-2 , 0)
36. For what value of c does the following system of equations represent parallel lines? (c=6,)
37. Using Fundamental theorem of arithmetic, find the LCM of 2231 and 2813(6275803)
38. Show that is irrational
39. Find a quadratic polynomial whose sum and product of the zeros are and respectively.
40. If each side of an equilateral triangle is ‘2a’ units, what is the length of its altitude?(√3a)
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