সম্প্রতি প্রথম আলো একটি জরীপ চালিয়ে বোঝার চেষ্টা করে যে তাদের পাঠকদের মধ্যে কতজন একুশে টিভি, এটিএন ও সময় টিভি দেখেন অথবা এই তিনটির কোনটিই দেখেন না। জরীপে দেখা যায় যে ৫৯% মানুষ একুশে টিভি, ৪৮% এটিএন এবং ৪৬% সময় টিভি দেখেন। ২৯% একুশে টিভি এবং এটিএন, ২০% এটিএন ও সময় টিভি এবং ৩০% একুশে টিভি ও সময় টিভি দেখনে। ৯% মানুষ এই তিনটি টিভি চ্যানেলই দেখেন। জরীপে অংশ নেয়া শতকরা কতজন মানুষ এই তিনটি টিভির কোনটিই দেখেন না?

ABC is triangle in which AB = 3 cm, BC= 5 cm and AC = 4 cm. AD is a perpendicular from A to BC. Find the length of AD.

The ratio of the ages of a man and his wife is 4 : 3. After 4 years, the ratio will be 9:7. If at the time of marriage the ratio was 5: 3, then how many years ago were they married?

A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was Tk. 50 what was his asking price?

$if x+y=a, x^2+y^2 and x^3+y^3=c^3 then show that a^3+2c^3=3a{b}^2$

A person got Tk. 240 after two years at simple interest rate. For another three years, he Tk. 300. What is the amount at initial?

In a mayoral election, candidate X received $\frac{1}{3}$ more votes than candidate Y, and candidate Y received $\frac{3}{4}$fewer votes than candidate Z. If candidate Z received 24,000 votes, how many votes did candidate X receive?

A square is inscribed in a circle with radius 4 inches, how do you find the area of the region inside the circle and outside the square?

Solve the equation $\sqrt[3]{2x\sqrt{x\sqrt{2x}}}=2$

A and B started a business with initial investments in the respective ratio of 18: 7. After four months from the start of the business, A invested Tk. 2,000 more and B invested Tk. 7,000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?

4 years ago, the respective ratio between $\frac{1}{2}$ of A's age at that time and four times of B's age at that time was 5 : 12. Eight years hence $\frac{1}{2}$ of A's age at the time will be less than B's age at that time by 2 years. Which is B's present age?

In a mixture A is 20%, B is 20% and rest is C. If 250ml water is mixed with 750ml mixture, then what will be the ratio of water and C?

ABCD is a parallelogram such that AB is parallel to DC and DA parallel to CB. The length of side AB is 20cm. E is a point between A and B such that the length of AE is 3cm. F is a point between points D and C. Find the length of DF such that the segment EF divide the parallelogram in two regions with equal areas.

A machine X can print one lakh books in 8 hours; machine Y can print the same number of books in 10 hours while machine Z can print them in 12 hours. All the machines are started at 9 A.M. while machine X is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work?

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?

The cost price of 10 pens is the same as the selling price of n pens. If there is a loss of 40%, approximately what is the value of n?

A man deposited Tk. 1,000 in a bank at 10% interest rate compounded annually for the first year. The rate increases to 15% in the 2^nd year. At the end of the 2^nd year, the total amount including interest will become how much?

A foot race had 36 teams of a dozen runners each. By noon, $\frac{4}{9}$ of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o'clock. How many teams had not finished the race by one o'clock?

$if a+2b=6 and ab=4, what is \frac{2}{a}+\frac{1}{b}?$

John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?