For the following questions answer them individually
The value of $$\left(1 + \cot A - \cosec A\right)\left(1 + \tan A + \sec A\right) - 1$$ is:
A shopkeeper allows a discount of 15% on a text book with the marked price Rs.100. On request, he further allows a discount of 10% on the new price of the goods. What is the overall discount given to the customer?
If two tangents to a circle of radius 3 cm are inclined to each other at angle of $$60^{\circ}$$, then the length of each tangent is:
A grocer sells rice at 10% profit and uses weights which are 20% less than the market weight. The total gain earned by him is:
The monthly income of Ramesh was Rs.16,500 and his monthly expenditure was Rs.10,500. Next year his income increased by 25% and his expenditure increased by 19%. Find the percentage increase in his saving.
The following table shows the number of candidates from different locations, who appeared and passed in a competitive examination over the years.
What approximate value was the percentage drop in the no. of semi-urban candidates, who appeared from 1991 to 1992?
A hemisphere has 42 cm diameter. Find its curved surface area and the total surface area.
If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is: