For the following questions answer them individually
A solid cone with curved surface area twice its base area has slant height of $$6\sqrt{3}$$ cm. Its height is :
A sum of money earns a simple interest at 7.25% per annum for the first eight years, at 8.5% for the next six years, and at 6.5% for the final four years. If the total interest earned during these eighteen years was ₹35, 100, what was the original sum invested (in ₹)?
If $$x > 0$$ and $$x^4 + \frac{1}{x^4} = 142$$, what is the value of $$x^7 + \frac{1}{x^7}$$?
Study the given pie-chart carefully and answer the following question.
What is the difference between the funds (in Rs.) acquired by the school from donation and those from government agencies?
A and B can complete a piece of work in 12 days and 18 days, respectively. If they work at it alternatively, A beginning, in how many days will the work be finished?
In a factory, a piece of work is completed by Raima in 15 days while Joe can finish it in 10 days. The factory manager has to complete the work as soon as possible and so he orders Joe and Raima to work together. How many days will they take to complete the work?
A,B and C can do a work in 10 days, 15 days, and 20 days, respectively. They finished that work together and got ₹2,600 as wages. Find C's wage.
A seller professes to sell his fruits at cost price but still gains $$5\frac{5}{19}\%$$. How much does he give for 1 kg?
Suppose $$\triangle PQR$$ and $$\triangle STU$$ are congruent triangles under $$ASA$$. If $$\angle PQR = 60^\circ, \angle PRQ = 30^\circ$$ and $$\angle STU = 60^\circ$$, find $$\angle TSU$$.