For the following questions answer them individually
Simplify $$\frac{(r-s)^{3}+(s-t)^{3}+(t-r)^{3}}{6(r-s)(s-t)(t-r)}$$
By using faulty weight, a shopkeeper cheats to the extent of 6% while buying and selling rice. Find his gain percentage (rounded to two decimal places).
The radius of a roller is 14 cm and its length 20 cm. It takes 235 complete revolutions to move once over to level a playground. Find the area of the playground.(Use $$\pi=\frac{22}{7}$$)
If $$\alpha$$ is an acute angle, which of the following options will NOT necessarily be equal to the value of cosec $$\alpha$$?
Find the total surface area of a cylinder with diameter of base 28 cm and height 70 cm.
M S Subbulakshmi, a legend in India is known for which of the following?
Which term is used to describe all living communities on earth, including animals, plants, bacteria, fungi and photosynthetic microbes?
‘Waiting for A Visa’ is a famous autobiography of ____________.
Who among the following personalities along with his sons played ‘Raga for Peace’ in the year 2014 at the ‘Nobel Peace Prize Concert’?
Who is the author of the historical novel ‘Twilight in Delhi’?