Bank Math

A boat has a crack in its hull which is leaking water into the boat and could sink the boat in 6 hours. The boat has a pump which can pump the water out in 8 hours. If the boat is 168 km away from the shore and the pump is running what is the minimum speed the boat should run at so that it can reach the shore before sinking?

How many positive integers less than 100 are neither multiples of 2 or 3?

In a class of 60, 32 studied English, 28 studied Bengali and 6 did not study either. How many of the students studied both?

A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5 km less in that time. Find the total distance covered by him.

Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share . The ratio between the shares of A,B and C is? 

The value of 1001 ÷ 11 of 13 is :

A shopper spends Tk. 1,000 to purchase CDs at Tk. 20 each. The next day, the disks go on sale for Tk. 16 each and the shopper spends Tk. 2,400 to purchase more CDs. What was the average price per disk purchased?

Sum of 4 consecutive even numbers is greater than three consecutive odd numbers by 81. If the sum of the least odd and even numbers is 59 then find the sum of largest odd and even numbers -

A glass when full of milk, weighs 1 kg. It weighs 0.75 kg when the glass is half full. What is weight of the empty glass?

The area of the right triangle is 184cm^2. One of its leg is 16cm long. Find the length of the other leg.

Given that 1² + 2² + 3²..... + 10² = 385, what is the value of 3² + 6² + 9² + .....30²?

What is the smallest number of apples that can be distributed equally (without cutting any apple) among 6,10,14 and 18 boys?

A sphere is created with half the radius of the original sphere. What is the ratio of the volume of the original sphere to the volume of the new sphere?

If x is the length of a median of an equilateral triangle, then the area is 

Which of the following CANNOT be a value of 1/(x+1)?

After getting two successive discounts, a shirt with a list price of 150 taka available at 105 taka. If the second discount is 12.5%, find the first discount.

A can do a piece of work in 24 days, B in 32 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

Idrak buys 80 kg sugar at taka 40 per kg. and 40 kg rice at taka 50 per kg. At what price approximately in taka per kg should he sell to make profit 10% of cost?

If 0 ≤ x ≤ 5. What is the maximum value of cos(x/3)?

Which of the following numbers cannot be the last digit of a squared number?