For the following questions answer them individually
Arun alone can finish a work in 12 days and Shama alone can do it in 15 days. How much time will be taken to finish the work, if Arun and Shama work together?
Using $$2\cos A \cos B = \cos\left(A + B\right) + \cos\left(A - B\right)$$, find the value of $$\cos75^{\circ}\cos15^{\circ}$$.
If $$X^{4} + \left( \frac{1}{X^{4}} \right) = 322$$, then what is the value of $$x^{3} + \left(\frac{1}{x^{3}}\right)$$
Simplify the following expression.
$$3\frac{6}{7} - \left\{5\frac{1}{7} - \left(2\frac{3}{7} - 3\overline{\frac{5}{7} - 4}\right)\right\}$$
Find the volume of the cuboid, if its length is twice more than its breadth and its
breadth is 8 cm, which is twice its height.
Study the given graph and answer the following question.
As per data available above in which of the given years was the percentage of the population affected by flue the minimum?
Under a sale offer for an item, Mahesh was offered 24% discount on the part of the marked price that was paid in cash, but was charged 1.5% on the part of the marked price paid through a credit card. If Mahesh paid 40% of the marked price in cash and the rest through a credit card and his total final payment was ₹6,391, what was the marked price of the item?
Ali and Badal start from the same position and at the same time in a 1200 m circular race, with speeds of 27 km/h and 45 km/h, respectively. Find after how much time they will meet again on the track for the first time when they are both running in the same direction.