16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work?

Three cars leave A and B in equal time intervals. They reach B simultaneously and then leave for Point C which is 240km away from B. The first car arrives at C an hour after the second car. The third car, having reached C, immediately turns back and heads towards B. The first and the third car meet a point that is 80km away from C. What is the difference between the speed of the first and the third car?

A, B and C together start a business. The ratio of the investments of A, B and C is 0.125: 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Tk. 58,000. What is B's share in the profit?

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling profit?

Three vessels whose capacities are in the ratio of 3: 2:1 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 5:2, 4:1 and 4:1 respectively. Taking of first, of second and of the third mixture, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is

An order was placed for supply of carpet of breadth 3 meters. The length of carpet was 1.44 times of breadth. Subsequently, the breadth and length were increased by 25 and 40 percent respectively. At the rate of Rs. 45 per square meter, what would be the increase in the cost of the carpet?

$x^2+\frac{1}{x^2}=1, find the value of x^{102}+x^{96}+x^{90}+x^{84}+x^{78}+x^{72}+5$

একটি ছাগল ১০% ক্ষতিতে বিক্রয় করা হলো। বিক্রয় মূল্য ৪৫০ টাকা বেশি হলে ৫% লাভ হতো। ছাগলটির ক্রয় মূল্য কত?

$m+\frac{1}{m} =2$ হলে, দেখাও যে $m^4 + \frac{1}{m^4} =2$

উৎপাদকে বিশ্লেষণ কর: $25(a+2b{)}^2 -36 (2a-5b{)}^{2 }$

একই হার মুনাফার কোনো আসল ৬ বছরের মুনাফা – আসলে দ্বিগুণ হলে, কত বছরে তা মুনাফা- আসলে তিনগুণ হবে?

উৎপাদকে বিশ্লেষন কর: $24x^3 -81y^3$

A can do a piece of work in 12 days, while B alone can do it in 15 days, with the help of C they can finish it in 5 days. If they are paid Tk. 960 for the whole work, what is the share of A?

A box contains 6 bottles of 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drinks. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety.

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the second and third pipe can fill a tank together?

$if \frac{x^{24}+1}{x^{12}}=7$ then the value of $\frac{x^{72}+1}{x^{36}}$ =?

There is a tree between houses of A and B. If the tree leans on A's house, the tree top rests on his window which is 12m from ground. If the tree leans of B's house, the tree top rests on his window which is 9m from ground. If the height of the tree is 15m, what is distance between A's and B's house?

A landscape architect is designing a rectangular flowerbed to be border with 28 plants that are placed 1m apart. He needs an inner rectangular space in the center of plants that must be 1m from the border of the bed and that require 24 square meter for planting. What should the Overall dimensions of the flowerbed be?

Chandan and Dewan play a game in which the loser of each round gives one half of his marbles to the other player. They start out with 4C and 4D marbles respectively. If Chandan wins the first round and Dewan wins the second round, how many marbles does Dewan have at the end of the second round?

A man has Tk. 1,00,000 to invest. He invests Tk. 40,000 at 5% and Tk. 35,000 at 4% interest rate. In order to have a yearly income of Tk. 5,000, at what rate of interest he must invest the reminder amount.