Instructions

For the following questions answer them individually

Question 91

In triangle ABC, ∠ABC = $$15^o$$ .D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

Question 92

The length of diagonal of a square is $$9\sqrt2$$ cm. The square is reshaped to form an equilateral triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?

Question 93

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

Question 96

If $$\frac{1}{cos\theta}-\frac{1}{cot\theta}=\frac{1}{p}$$, then what is the value of cos θ?

Instructions

The table given below represents the production and sales of wheat in 4 different countries A, B, C and D over a period of 4 years. At the end of year 2010 A, B, C and D had a stock of 5200, 3500, 7835 and 1956 (in '000 quintals) of wheat respectively. For any given year, the stock of wheat is calculated as: Stock of year (n + 1) = stock at end of year (n) + production in year (n + 1) — sales in year (n + 1) And, Surplus of year (n) = production in year (n) — sales in year (n)

Question 97

What is the surplus (in '000 quintals) of country A of years 2013 and 2014 taken together?

Question 99

What is the difference (in '000 quintals) in average production and average sales respectively of country C in the given four years?