Mathematical Problems

6 men and 8 women can do a work in 18 days. How many days will it require to complete the whole work if 3 men and 5 women work together?

A club has 20 members. They are electing a president and a vice-president. How many different outcomes of the election are possible? (Assume the president and the vice-president must be different members of the clube.)

A man 6 feet tall casts a shadow 4 feet long; at the same time a flagpole casts a shadow that is 50 feet long. How tall is the flagpole?

A, B and C can do a piece of work in 16, 32 and 48 days, respectively. They started working together but C left after working 4 days and B, 2 days before the completion of work. How many days it took to comlete the work?

Five cups of flour are required to make a large batch of cookies. How many cups of flour are required to make enough cookies to fill 12 cookie jars, if each cookie jar can hold 1.5 batches?

Jamil can type a 20-page document in 40 minutes, Saheen can type it in 30 minutes, and Johra can type it in 24 minutes. Working together, how much time will it take them to type the same document?

In this pocket, aboy has 3 red marbles, 4 blue marbles and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. if in 2001, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than commodity Y?

Three time the present age of a father is equal to eight times the present age of his son. Eight years hence the father will be twice as old as his son at that time. What are their present ages?

Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

It takes 30 days to fill a laboratory dish with bacteria. If the size of bacteria colony doubles each day, how long did it take for the bacteria to fill one half of the dish?

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

A contractor estimates that he can paint a house in 5 days by using 6 men. If he actually uses only 5 men for the job how many days will it take to do this job?

Azhar works thrice as much as Baten and is therefore able to finish a piece of work in 60 days less than Baten. Find the time in which they can do it together.

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

Farid can complete a job in 12 hours, and Jibon can complete the same job in 8 hours. Farid starts the job at 9 a.m., and stops working at 3 p.m. If Jibon starts working at 4 p.m. to complete the remaining job, at what time is the job finished?

Jesmin spent one-third of her money on books and half of the remaning money on clothing. She then spent three-fourths of what she had left on food. She had 500 left over. How much money did she start with?

If an object travels at five feet per second, how many feet does it travel in onw hour?

The cost to ride on a ferry is Tk. 500 per vehicle and drive with an additional cost of Tk. 50 per passenger. If the charge to get on the ferry is Tk. 650, how many people were in the vehicle?