Bank Math

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

30% of 10 is 10% of which ?

The dimensions of a box are 2, 3 and 4 meters. The cost of painting the outer sides of the box at the rate of taka 3 per square meter is-

In the first 1000 natural numbers, how many integers exist such that they leave a reminder 4 when divided by 7 and the remainder 9 divided by 11?

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

If m and p are positive integers and (m + p)m is even, which of the following must be true?

A number x is divided by 7. When this number is divided by 8, 12 and 16, it leaves remainder 3 in each case. The least value of x is?

A bag contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue?

A Shopkeeper buys 100 mangoes at Tk. 12 each. He sells 60 mangoes at Tk. 17.40 each and x mangoes at Tk. 11.31 each. The shopkeeper makes a profit of at least 10%. Find the least possible value of x.

A rectangular field is to be fenced on three sides leaving a sides of 20m uncovered. If the area of the field is 680m², how many meters of fencing will be required?

The ratio of the speeds of a train and a man 6 : 1 . The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240 m long platform?

How many litres of water must be evaporated from 50 litres of a 3% sugar solution to get a 5% sugar solution?

6, 7, 9, 13, ___, ___. What are the two missing numbers in the series?

If a principal P becomes Q in 2 years when interest R% is compounded half-yearly. And if the same principal P becomes Q in 2 years when interest S% is compound annually, then which of the following is true.

If m and n are whole numbers such that mⁿ = 121, then the value of (m - 1)^{n + 1} is = ?

The length of a box is 3 meters, breadth is 2 meters 50 centimeters and height is 2 meters. What is the volume of the box?

Find the value of 9⁵ × 9^-3 × 9⁴

If (3x + 2y) = 8 and (2x - y) = 3 find the value of 'x'.

The base of a rectangle is three times as long as the height. If the perimeter is 64, what is the area of the rectangle?

When bent in the form of a circle a wire has a radius of 28 cm. If it is bent in the form of a square, what will be its area in cm²?