2.Bowl S contains only marbles. If $\frac{1}{4}$ of the marbles were removed, the bowl would be filled to  $\frac{1}{2}$ of its capacity. If 100 marbles were added, the bowl would be full. How many marbles are in bowl S?

Square ABCD is inscribed in a circle. whose radius is 4cm. Calculate the area of the square. 

What is the difference between the amount of interest eamed on a principal of Tk. 100 for 2 years at 10% simple interest rate and 10% compounding interest rate?

If 0 < x ≤ 1, then which one of the following is the maximum value of (x-1)² +x ? 

Point A is 10 km west of point B. Point B is 30 km north of point C. Point C is 20 km east of point D. What is the distance between point A and D?

There are 3 doors to a lecture room. In how many ways can a lecturer enter the room from one door and leave from another door ? 

A rhombus is a quadrilateral-

 For a research purpose 2500 individuals were interviewed. Among them 750 persons have bank accounts in State Owned Commercial Banks (SOCBS) and 2250 persons have bank accounts in Private Commercial Banks (PCBs). How many of them have bank accounts in both SOCBS and PCBs?

What would be the value of 20% of m as a percentage of p, if 8% of m = 4% of p?

Which is the larger between two numbers if they are in the ratio of 6: 13 and their least common multiple is 312?

Three coins are tossed. Find the probability of exactly 2 heads-

A rectangular sheet of paper, 10 cm long and 8 cm wide has squares of side 2 cm cut from each of its corner. The sheet is then folded to form a tray of depth 2cm. What is the volume of this tray?

A group of 20 friends formed and investment club, with each member contributing an equal amount to the general fund. The club then invested the entire fund, which amounted to t taka, in stock X. The value of the stock subsequently increased 40 percent, at that point the stock was sold and the proceeds divided evenly among the members. In terms of t, how much money did each member of the club receive from the sale?

 A machine is sold at a profit of 10%. Had it been sold for Tk. 40 less, there would have been a loss of 10%. What was the cost price?

A train crossed a platform in 45 seconds travelling with a speed of 36 km/h. If the length of train is 200 meters, then what  will be the length (in meters) of the platform?

The perimeters of two squares are 40cm and 30cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

if a+b+c = 0 , the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ is - 

In a set of 3 numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

What is the value of  $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$