The sum of two numbers is 232 and their HCF is 29. What is the numbers of such pairs of numbers satisfied the above condition?

A cow was sold at 8% profit. If it were bought at 20% less and sold at 40% profit, then the owner would gain ₹ 640 more. Find the initial cost price of the cow.

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60^o and 30^o respectively. The height of the temple is more than the building. The height of the temple is-

Which smallest number must be added to 2203 so that we get a perfect square? 

Due to increase in the value of eggs by 20 percent, two eggs started getting less at Rs. 24. The current price per dozen of eggs.

If (2^x)(2^y) = 8 and (9^x)(3^y) = 81 , then ( x , y ) is : 

A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

In a river the distance between two points is 80 km. A boat which rows 13 km/h in still water goes downstream from the first point to the second and returns upstream to starting point in 13 hrs., then find the speed of current.