Rs. 278 is divided among Ram, Shyam and Ghanshayam so that Rs. 20 more than $${1\over3}$$ of Ram’s share, Rs.10 more than $${3\over 2}$$ of Shayam’s share, Rs.10 more than Ghanshayam’s share are equal. What is the Shyam’s share?

If $$ {2^{2n-1}}={1\over8^{n-3}}$$,then the value of n is:

The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3. The smaller number is:

The Banker's discount on a bill due 6 months hence at 16% per annum is ₹ 216. The true discount is: 

If tan $$ -{7π\over4}=x $$ then the value of x is : 

 Pipe A alone & pipe B alone can fill the same tank in 5 hours and 4 hours respectively. If the ratio of efficiency of pipe A & B together to that of pipe C alone is 9:2, then find time taken by pipe C alone to fill the same tank?

B is 20% more efficient than A. A started the work and work for x days and then A is replaced by B. B completed the remaining work in x+8 days. Ratio of the work done by A and B is 2:3. In how many days A and B working together can complete the whole work?

Ram sold an article for Rs 380 at some profit. Had he sold it for Rs 300, then there would have been a loss equal to one-third at the initial point. What was the cost price of the article?