For the following questions answer them individually
₹4,000 is given at 5% per annum for one year and interest is compounded half yearly. ₹2,000 is given at 40% per annum compounded quarterly for 1 year. The total interest received is nearest to:
A person marks his 40 items at 20% of the cost price. He sells 10 items at a 10% discount and 20 items at a 15% discount on the marked price. What is the maximum discount (rounded off) he can offer on the remaining items if he still gets some profit?
A can finish a piece of work in a certain number of days. B takes 45% more number of days to finish the same work independently. They worked together for 58 days and then the remaining work was done by B alone in 29 days. In how many days could A have completed the work, had he worked alone?
If $$x^4 + \frac{1}{x^4} = \frac{257}{16}$$ then find $$\frac{8}{13}\left(x^3 + \frac{1}{x^3}\right)$$, where x > 0.
The following pie chart shows the ratio of the amount of imports by a company to the amount of exports from that company from 2013 to 2019.
If the imports in 2016 were ₹250 million and the total exports in the years 2016 and 2017 together were ₹500 million, then the imports in 2017 were:
If $$\sec A = \frac{\sqrt{11}}{3}$$, then the value of $$\frac{\cosec^2 A + \tan ^2 A}{\sin^2 A + \cot^2 A}$$ is:
If $$a + b = 8$$ and $$a + a^2b + b + ab^2 = 128$$ then the positive value of $$a^3 + b^3$$ is:
If in the following figure (not to scale), $$\angle DAB + \angle CBA = 90^\circ, BC = AD, AB = 20$$ cm, $$CD = 10$$ cm then the area of the quadrilateral ABCD is: