If cos 2θ = 3/4, find the value of sin² θ.
A and B can do a work together in 10 days. B and C can do the same work in 15 days, how many days will B take to complete the work if A, B and C togethe...
A person has a total of ₹5000 in the form of ₹10 and ₹5 notes. If the number of ₹10 notes is twice the number of ₹5 notes, how many notes of e...
A pipe can fill a tank in 6 hours, while another pipe can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?
A father is currently 3 times as old as his son. In 10 years, the father’s age will be twice that of his son. What are their present ages?
A boat can travel upstream at 12 km/h and downstream at 18 km/h. What is the speed of the boat in still water?
A certain number of men can complete a work in 50 days. If 10 more men are added, the work can be completed in 40 days. Find the original number of men.
The ratio of the ages of A and B is 3:4. Five years later, the ratio of their ages will be 4:5. What are their present ages?
Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened t...
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B,...
