Answer the following mathematical problems:

$If x^4+\frac{1}{x^4}=119, Prove that x^3-\frac{1}{x^3}=36$

Solve the following problems:

A man engaged a worker on the condition that he would pay him Tk.30,000 and one uniform after one year of service. The worker served only 9 months and got Tk 22,000 and a uniform. What is the price of the uniform?

Solve the following problems:

The price of 3 horses is same as the cost of 5 cows. If total cost of 4 horses and 6 cows is Tk 1900, find the cost of one horse.

Solve the following problems:

A man won a lottery of Tk.20,00,000. He gave 2/5 of the amount to his wife and 1/4 of the balance to his son. He donated 2/9 of the balance amount. How much money was donated?

Solve the following problems:

Reena took loan of Tk 1200 at simple interest rate for as many years as the rate of interest. If she paid Tk.432 as interest at the end of the loan period, what is the rate of interest?

Solve the following problems:

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then what is the area of the triangle?