In how many different ways can the letters of the word ‘CREAM’ be arranged?

If $$ {(2x-5y)^{3}-(2x+5y)^{3}=y{[A{x}^{2}+B{y}^{2}]}}$$, then what is the value of $$ {(2A-B)}$$?

If the curved surface area of a cylinder is 126π cm² and its height is 14 cm, what is the volume of the cylinder?

If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? 

The population of Jaipur is 20,00,000. If it is increased by 5 %, 10%, 20% respectively in the next three years, then find the population of Jaipur after 3 years.

A train after travelling 150 Km. meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 Km. farther, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

Two numbers are in the ratio of 3: 5. If 9 be subtracted from each, then they are in the ratio of 12: 23. Find the numbers. 

30 pens and 75 pencils altogether were purchased for Rs .510. If the average price of a pencil was Rs. 2, what was the average price of a pen?