∆XYZ is right angled at Y. If m∠Z = 60°, then find the value of (cotX - 1/3).

The curved surface area and the diameter of a right circular cylinder are 352 cm² and 14 cm respectively. Find its height (in cm).

Find the circumference (in cm) of a circle of radius 17.5 cm.

The area of a square is 72.25 cm². Find its perimeter (in cm).

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

The marked price of an article is 60% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his article at no profit or no loss?