x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z

How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080

Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x

Mr. X decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after T hr. After 30 km, there is some engine malfunction and the speed of the car becomes 45th of the original speed. So, he travels the rest of the distance at a constant speed 45th of the original speed and reaches Gurgaon 45 minutes late. Had the same thing happened after he travelled 48 km, he would have reached only 36 minutes late. What is the distance between Delhi and Gurgaon?

How many trailing zeroes (zeroes at the end of the number) does 60! have?

6 kg of Rs 8/kg wheat is mixed with 3 kg of another type of wheat to get a mixture costing Rs 10/kg. Find the price of the costlier wheat