Mathematics

A brother and a sister share out their collection of 5,000 stamps in the ratio of 5 : 3. The brother then shares his stamps with two friends in the ratio of 3 : 1 : 1 keeping most for himself. How many stamps does each of his friends receive?

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?

Mathematics

What is the value of $\frac{2^{x+4}-{4.2}^{x+1}}{2^{x+2}+2}=?$

Mathematics

A pipe can fill up an empty tank in 15 minutes. Another pipe flows out 20 liter of water per minute. If the two pipes are opened together and the empty tank is filled in 135 minutes, how much water does the tank contain?

Mathematics

Ms. Wazaiha invested a total amount of BDT 50,000 in two honds namely BEXIMCO and DBBL that pay annual interest at the rate of 6.5% and 9%, respectively. If she likes to receive BDT 4,000 as interest income, how much should she invest in each bond?