Bank Math

A starts business with Tk 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided between A and B in the ratio 2 : 3. What is B's contribution, in Tk. in the capital? 

A can do a work in 15 days and B in 20 days. They work on it together for 4 days, then the fraction of the work that is left is -

If a+b+c = 12, a+b = 4, and a+c = 7, what is the value of a?

40 is subtracted from 60% of a number, the result is 50. Find the number?

A train takes 20 seconds to cross a pole. It takes 50 seconds to cross the platform. What is the ratio of the length of the platform to that of the train? 

A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is-

If Kamal gves 20 marbles to Shuvo, then, both of them will have equal numbers of marbles in their possessions. If Shovo gives 40 marbles to Kamal then Kamal will have twice the number of marbles that Shuvo will retain. What is the number of marbles that Kamal has?

When 9 is added to one fourth of a number, the result is 19. What is the number?

In a cricket tournament 30,000 tickets were sold. One-fourth of the tickets were sold at Tk. 30 each, 1/3 were sold at Tk. 25 each, and the remaining tickets were sold at Tk. 20 each. How many tickets were sold at Tk. 20 each?

In 10 years A will be twice old as B was 10 years ago. If A is now 9 years older than B. the present age of B?

The difference between the length and breadth of a rectangle is 23m . If its perimeter is 206m, then its area is:

A leading library charges c cents for the first week that a book is loaned and f cents for each day over one week. What is the cost for taking out a book for d days, where d is greater than 7.

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 6 hours. The number of hours taken by C alone to fill the tank is:

If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to:

In a class of 60 students, 20 students like math, 25 students like English and 30 students like science. If 5 students like both Math and English, 7 students like both Math and science, 8 students like both English and science and 3 students like neither of this subjects, how many students like all of the three subjects?

The base of a triangle is twice its height, which is 5cm. What is the area, in square centimeters, of the triangle?

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older than him. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?

If x² + 4x + 4 = 0, then the value of x is:

For y = - 2x - 8, what is the least value of x for which is less than 9?

The ratio of the angles of a triangle is 2 : 3 :4. What is the largest angle in degrees?