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70 students are studying physics, mathematics and chemistry. 40 students study mathematics. 35 study physics and 30 study chemistry, 15 students are studying all the subjects. How many students are studying exactly two of the subjects?
শতকরা বার্ষিক যে হার সুদে কোন মূলধন ৬ বছরে সুদে আসলে ছিগুন হয়, সেই একই হার সুদে কত টাকা ৪ বছরে সুদে আসলে ২০৫০ টাকা হবে?
A trader bought some mangoes for Tk. 150 per dozen and an equal number of apples for Tk. 100 per dozen. If he sells all the fruits for Tk. 140 per dozen, what be his profit/loss in percentage?
A person wishes to accumulate Tk. 5,00,000 by the end of 15 years by making equal half- yearly deposits over the next 15 years. If he/she earns 10% on the investment, how much must he/she deposit at the end of each half-year?
One-fifth of the products made by a company is defective. Four-fifth of the defectives were rejected and one-twentieth of the products were rejected by mistake. What percent of the products sold by the company is defective?
Prove that a cyclic parallelogram must be a rectangle.
Two friend A and B invest Tk. 400000 and Tk. 600000 respectively in order to set up a business. As the managing partner. A receives a remuneration of Tk. 12000 out of total profits and B receives no salary. After A’s salary has been paid. 10% of the profits are set aside each year to purchases new equipment. The remainder of the profit is then divided between the friends in the ratio of their capital investment. The total profit for the first year was Tk. 210000. Calculate the total amount received by A and B individually at the end of the first year.
Suppose you deposited Taka 10,000 on January 01, 2012 at 12.50% interest rate-for 1year, on July 01, 2013 Taka 15, 000 at 12.00% interest rate for 6 months and on October 01, 2013 Taka 20,000 at 11.50% interest rate for 3 months (assume that the stated interest rates are simple and annual). Suppose you withdrew all deposits (including due interests) on December 31, 2013. Calculate the overall annual rate of interest you have, received 
A boat sailing against the current takes 8 hours to travel 32km. While sailing with the current, It takes only 4 hours to travel the same distance. What is the speed of boat? What is the speed of the current?
If x+($\frac{1}{x}$)= 3, then the value of $x^{6}+\frac{1}{x^{6}}$=?
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