Bank Math

If 3^x - 3^x-1 = 18, the value of x^x  is

The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

Let M be the median and m the mode of the following set of numbers : 10, 70, 20, 40, 70, 90. What is the average (arithmetic) mean of M and m?

A person needs to pay Tk. 500 to buy pencils and Tk. X for any additional unit of pencil. If the customer pays a total of Tk. 4,700 for 1200 pencils, what is the value of X?

A monkey climbs a 60 m high pole. In the first minute, he climbs 6m and slips down 3m in the next minute. How much time is required by it to reach the top?

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6m away from the wall. The length of the ladder is

When a commodity is sold for Tk. 49, there is a loss of 2%. What is the cost price of the commodity?

Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is odd?

Which is the correct factor analysis of 2√2x³ + 125?

Shonghoti and Shouhardo Clubs consist of 200 and 270 members respectively. If the total member of the two clubs is 420 then how many members belong to both clubs?

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 -

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

The ratio of two numbers is 3 : 4 and their sum is 630. The smaller one of the numbers is -

What will be the difference between simple and compound interest at 10% on a sum of TK. 5000 after 5 years?

The next number in the sequence 1, 2, 3, 5, 8, 13, 21, ____ is-

Asad went to the market to buy 12 oranges. But he found that he had the money to buy only 10 oranges. He calculated that if the price per piece of orange was TK. 3 less, he could have bought 12 oranges. How much money did Asad have?

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottoms. If the cistern is full, the leak will empty it in?

How many tangents to a circle can be drawn from an external point?

Lamia owns a hairdressing salon. She borrows Tk. 2,500 from a bank to improvements to her beauty salon. She is charged 4.5% per year compound interest. She pays the money back after 3 years. Calculate the total amount Lamia must pay to the bank.

Set : B contains only positive, even integers. Which of the following could be the median of set B?