Bank Math

Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 miles per hour faster than the other and after 3 hours, they are 30 miles apart. What is the rate of the faster jogger?

If a + b = 13 and a - b = 3 , then find the value of a² + b²

One filling pipe P is three times faster than another filling pipe Q, if P can fill tank in 24 hours, then what is the time taken to completely fill the tank if both the pipes are opened together?

28√x + 1426 = three-fourths of 2984, find x.

A train takes 8 seconds to cross a pole and 18 seconds to cross a platform of length 120m. What is the length of the train?

The angles of a triangle are in the proportion of 1 : 2 : 3 and the length of the smallest side is 1 cm. what is the length of the longest side of the triangle?

What will be the result if (4x + 20)/4 is subtracted from (x + 10)?

5p - 3q = 42, 5p + 3q = 18. Given this system of equations. What is the value of ।p। + ।q।?

If 4(x - 2/3) = 0, what is the value of x?

Find the ratio of purchase price to sell price if there is loss of 12.5%?

When heated an iron bar expands 0.2%. If the increased length is 1 cm, what is the original length of the bar?

The sum of principal and simple interest of a certain amount of money would be Tk. 460 after 3 years from now and Tk. 500 after 5 years from now. What is the total interest rate?

The following figure consists of twenty seven cubes. How many cubes will get closed on all sides by other cubes? 

The value of p, for which the equation x² + (p - 3)x + p = 0 has real and equal roots is

If 2a = 3b = 4c = 72, then what is the average (arithmetic mean) of a, b and c?

12.1212 + 17.0005 - 9.1102 = ?

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100m high, the distance between the two ships is :

If 3x - 7y = 0 and x + 2y = 13 then y is –

A right triangle has sides in the ratio of 5 : 12 : 13. What is the measure of the smallest angle in the triangle, in degree?

In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?