What is the value of a when $$ {x^{2(3a+1)}}={x^{3}}$$ ?

A principal increase by 50 percent in five years at the rate of simple interest. What will be the compound interest for 3 years at Rs 20,000 with the same interest rate?

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

A number is divided into three parts such that three times of the first part, six times of the second part and eight times the third part are equals to each other. If the first part is Rs. 1600, what is the third part?

The simple interest on an amount at the rate of 7 percent for five years is Rs 700. So how much is the principal?

An examination was conducted for five subjects where the maximum marks for each subject was 100. Scored 82,97, 88 and 91 marks in 4 subjects respectively. If his total marks were 90 percent, then how many marks did he get in fifth subjects?

30 dozen walnuts were purchased for Rs. 14400 and 32 packets of walnuts (20 walnuts in each packet) were purchased for Rs. 57600. If a packet of Akharato was sold for five rupees in a pack at Rs. 432, what would be the profit percentage?

The total surface area of a cube is 864 square cm. What will be its volume?