The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm. Find the area of the rectangle.

x = y = 333 and z = 334, then value of x³ + y³ + z³ – 3xyz is 

Arun purchased 30 kg. of rice at the rate of Rs. 17.50 per kg. and another Rs. 30 kg. at a certain rate. He mixed the two and sold the entire quantity at the rate Rs. 18.60 per kg. and made 20% overall profit. At what price per kg. did he pruchase the lot of another 30 kg. rice?

Speed of a boat in still water is 12 kmph and that of the current is 3 kmph. A man row a boat upstream up to 135 km and return downstream to the starting point. Find the total time taken for the entire journey in hours.

The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40 % discount on the shirt. If the total discount on the shirt and trousers is 30 %, the discount offered on the trousers is 

lf p + m = 6 and p³ + m³ = 72, then the value of pm is: 

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers? 

A sum of Rs. 400 becomes Rs. 448 at simple interest in 2 years. In how many years, will the sum of Rs. 550 amounts to Rs. 682 at the same rate?