For the following questions answer them individually
If $$A = \cot 30^\circ \tan 60^\circ + \cot 60^\circ \tan 30^\circ$$, then what is the value of A?
A person borrows Rs.20000 at the rate of 6 percent per annum on simple interest for 3 years. He immediately lends it to another person at the rate of 8.5 percent per annum on simple interest for 3 years. What is the value of gain per year?
The bar graph given below shows the sales of bikes and cars of five companies.
P1 = The difference between the average sales of bikes and average sales of cars of all 5 companies.
P2 = The total value of the sales of bikes and cars of all 5 companies.
What is the value of (P2 - P1)?
The cost price of 44 items is the same as the selling price of x items. If the profit is 10%, then what is the value of x?
Tangent drawn from a point X, touches the circle at U. O is the centre of this circle. If XU = 15 cm and OU = 8 cm, then what is the value of OX?
If $$\left(x - \frac{1}{x} = 4\right)$$, then what is the value of $$\left(x^6 + \frac{1}{x^6}\right)$$?
A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase in its total surface area?
The following histogram shows the weekly wages of workers at a factory. How many workers get wages of more than Rs.200?
Angle subtended by a chord on the centre of a circle is 180 degree. What will be the angle subtended by the same chord on the circumference of this circle?
What is the value of $$\left(k + \frac{1}{k}\right) \left(k - \frac{1}{k}\right) \left(k^2 + \frac{1}{k^2}\right) \left(k^4 + \frac{1}{k^4}\right)$$?