Instructions

For the following questions answer them individually

Question 61

A circle is inscribed in an equilateral triangle and a square is inscribed in the circle. The ratio of the area of the triangle to the area of the square is

Question 62

The surface of the water in a swimming pool is a rectangle 26 m long and 10 m wide and the depth of water increases uniformly from 1.6 m at one end to 4.4 m at the other end. Volume (in m$$^3$$ ) of the water in the pool is

Question 63

In the figure, there are two rectangles each of dimension 8 cm Ć 12 cm. Length of CE = 7 cm. What is the area (in cm2 ) of the shaded region?

Question 64

A rectangular box is inscribed in a sphere of radius r cm. Surface area of the box is 384 cm$$^2$$ and the sum of lengths of its 12 edges is 112 cm. The value of r is

Instructions

The following table gives demand and supply of steel for the years 2003 to 2008. Surplus is defined as āSupply - Demandā. Read the table and answer the questions.

Question 67

Percentage increase in demand of steel, as compared to previous year, was highest in the year

Question 69

For the years 2003 to 2006 increase in surplus as compared to preceding year is highest in

Instructions

The graph below shows total profit, labour cost and profit (in crore Rs.) of four different companies P, Q, R and S. Total cost is defined as the sum of labour cost and raw material cost. Read the graph and answer the questions.