Bank Math

A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 for that day. How much profit will the company make in a day when sales are Tk. 6,000?

Which number is appropriate in place of question mark?

If (x - y)² = 12 and xy = 1, then what is the value of (x² + y²)?

A train of 220 m long is moving at 45 km/h. The time taken by the train to cross a tunnel of 260 m long is-

49 × 49 × 49 × 49 = 7^?

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

A word consists of 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected?

A rectangular fish tank 25m by 9m has water in it to a level of 2m. This water is carefully poured into a cylindrical container with a diameter of 10m. How high will the water reach in the cylindrical container?

A circle of radius 14cm is divided into 8 equal sectors. Find the area of each sector.

If angle B of isosceles triangle ABC is a right angle, what is the tangent of angle A?

If the ratio of simple interest and principal is 8 : 25/2 and rate of interest is equal to the time invested then find the time of investment?

What is the greatest prime factor of (2⁴)² - 1 ?

A trapezium has a total area of 25 square feet. if the height of this trapezium is 2 feet and one of the two parallel sides is one foot longer than the other. What is the length of the longer side?

(√1372 + √959) ÷ √292 × 19.003 = ?

A car washer machine can wash 8 cars in 18 minutes. How many cars can be washed at the same rate in 3 hours?

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m³. Find the breadth of the wall. 

Gulzar is four times as old as Hashem. 10 years ago, Gulzar was 9 times as old as Hashem. What will be the sum of their ages after 6 years?

In Δ ABC, AB = BC and AC is the hypotenuse. The value of ∠C is -

Q (33-56): Read the following questions carefully and choose the right answer.
৩৩) Which one of the following numbers can be removed from the set S = (0, 2, 4, 5, 9) without changing the average of set S?

The average of 6 numbers is 25. If 3 more numbers, with an average of 22 are added to these numbers, what will be the average of the combined 9 numbers?