Mathematical Problems

On a map 1/3 inch equals 15 miles. The distance between two towns on a map is 3.35 inches. How many miles are actually between the two towns?

A scale on a map states that every 1/4 of an inch represents 20 miles. If two cities are 3.5 inches apart, how many miles are actually between the two cities?

if a 1/4 of a teaspoon is 1 ml, then how many milliliteters are in 6 teaspoons?

It costs 10 paisa a kilometer to fly and 12 paisa a kilometer to drive. If you travel 200 kilometers, flying x kilometers of the distance and driving the rest, then the cost of the trip in Taka is ___.

A ream of paper contains 480 sheets of paper. A certain box holds 16 reams. The number of sheets of paper in 5 of these boxes is ___.

A train traveling at 48 km/hr completely crosses another train having half its length and traveling in opposite direction at 42 km/hr, in 12 seconds. It alos passes a railway platform in 45 seconds. What is the length of the platform?

In the last week of a month, a car dealer sold 12 cars. A new sales promotion came out the first week of the next month and he sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?

If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Dhaka and Chittagong is 7.5 cms, the actual distance between them is: ___.

A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 km/hr for 5 minutes. If the radius of the well is 5 meters then the distance travelled is ___.

A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist’s average rate for the round trip in miles per hour?

A man moves from A to B at rate of 4 km/hr. Had he moved at the rate of 3.67 km/hr, he would have taken 3 hours more to reach the destination. What is the distance between A and B?

A man can row at 5km/hr in still water. If the velocity of the current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

Thirty six identical chairs must be arranged in rows with the same member of chairs in each row. Each row must contain at least 3 rows. A row is parallel to the front of the room. How many different arrangements are possible?

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 red light flashes 3 times per minutes and a green light flashes 5 times in two minutes at regular intervals. If both lights start flashing at the same time, how many time do they flash together in each hour?

A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left.C did the remaining work ___(in days).

Two workers A and B manufactured a batch of identical parts. A worked for 2 hours and B worked for 5 hours and they did half the job. Then they worked together for another 3 hours and they had to do (1/20)th of the job. How much time does B take to complete the job, if he worked alone?

A father left a will of Tk. 35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Tk. 35 lakhs has been intructed to be invested at a profit 0f 10%. How much did the elder daughter get at the time of the will?

Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank?

A contract is to be completed in 56 days and 104 men were set to work,  each working 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional men be employed, so that the work may be completed in time if each man works 9 hours a day?