For the following questions answer them individually
What is the value of $$\ \frac{(1.1)^{3}+(0.7)^{3}}{(1.1)^{2}-1.1\times0.7+(0.7)^{2}}$$?
What is the value of $$999\frac{1}{3}+999\frac{1}{6}+999\frac{1}{12}+999\frac{1}{20}+999\frac{1}{30}$$?
A, B and C together can complete a work in 20 days. A and B together can complete the same work in 30 days. Then C alone can complete the same work in how many days?
Vijay is 10% more efficient than Vikas. If Vikas can complete a piece of work in 33 days, then Vijay can complete the same work in how many days?
After giving 20% discount on an article there is a profit of 20%. What will be the profit percentage when no discount is given?
The marked price of a cycle is Rs 5600. If two successive discounts of 10% and 15% are given, then what will be the selling price (in Rs) of the cycle?