For the following questions answer them individually
What is the simplified value of $$(3 + 1)(3^{2} + 1)(3^{4} + 1)(3^{8} + 1)(3^{16} + 1)$$?
What is the value of $$\frac{(0.5^{3})-(0.1)^{3}}{(0.5)^{2}+0.5 \times 0.1+(0.1)^{2}}$$?
Two taps A and B can fill a tank in 10 hours and 12 hours respectively. If the two taps are opened at 10 a.m., then at what time (in p.m.) should the tap A be closed to completely fill the tank at exactly 4 p.m.?
Vijay and Sahil together complete a piece of work in 40 days, Sahil and Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same work in 60 days. In how many days can all the three complete the same work while working together?
The marked price of an article is 50% more than its cost price. If 20% discount is given, then what will be the profit percentage?
After giving 40% discount on an article there is still a profit of 20%. What will be the profit percentage when no discount is given?
The ratio of two numbers is 4 : 5. If both numbers are increased by 4, the ratio becomes 5 : 6. What is the sum of the two numbers?
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