The sum of the digits of a two-digit number is subtracted from the number. How two-digit numbers can be formed so that the digit in the unit place of the resulting number many such 6?

How many ways are there to divide 50 people into 3 groups so that each group contains members equal to a prime number?

A semi circular sheet of metal of diameter 28 cm is bent into an open conical cup. Find the depth and capacity of cup.

A, B and C are partners. A whose money has been in the business for 4 months claims $\frac{1}{3}$ the profits; 'B' whose money has been in the business for 6 months claims of the profits. 'C' had Tk. 1,560 in the business for 8 months, how much money did A and B contribute to the business?

Machine A, working alone at its constant rate, produces x pounds of peanut butter in 1 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter i 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?

Two trains running at the rate of 75km and 60km an hour respectively on parallel rails in opposites directions, are observed to pass each other in 8 seconds and when they are running in the same direction at the same rates as before, a person sitting in the faster train observes that he passes the other in 33 seconds. Find the lengths of the trains.

A gardener plants two rectangular gardens in separate regions on his property. The first garden has an area of 600 square feet and a length of 40 feet. If the second garden has a width twice that of the first garden, but only half of the area, what is the ratio of the perimeter of the first garden to that of the second garden?

In a certain class, of the boys are shorter than the shortest girls in the class and of the are taller than the tallest boy in the class. If there are 16 students in the class and no t people have the same height, what percent of the students are taller than the shortest girl shorter than the tallest boy?

একটি সমকোণী ত্রিভুজের সমকোণ সংলগ্ন বাহু দুটির দৈর্ঘ্য ৬ সেঃ মিঃ এবং ৮ সেঃ মিঃ হলে এর ক্ষেত্রফল নির্ণয় করুন।

শতকরা বার্ষিক ৭ টাকা মুনাফায় ৬৫০ টাকার ৬ বছরের মুনাফা কত?

70 students are studying physics, mathematics and chemistry. 40 students study mathematics, 35 study physics and 30 study chemistry, 15 students are studying all the subjects. How many students are studying exactly two of the subjects?

A committee of 5 is to be formed from 6 male students and 5 female students. In how many ways can this be done so that the committee contains at least one male and one female student?

The profit of a company in Taka is given by P-3x² - 35x + 50, where x is the amount in Taka in lac spent on advertising. For what values of x does the company make a profit?

A man's salary in 2014 was 20 thousand Taka per month and it is increased by 10% each year. Find how much he earned in the years 2015 to 2017 inclusive.

Find the three-digit prime number whose sum of the digits is 11 and each digit representing a prime number. Justify your answer.

Solve: $\frac{x}{2}+\frac{6}{y}=9, \frac{x}{3}+\frac{2}{y}=4$

Length of each equal side of an isosceles triangle is 10cm and the included angle between those two is 45°. Find the area of the triangle.

Amin has 12 pieces of Tk. 10 and Tk. 5 notes in his wallet. If the total value of all the notes less than Tk. 95, what is the maximum number of Tk. 10 notes that he has?

A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two-third what C invests. At the end of the year, the profit earned is Tk. 6,600. What is the share of B?

A and B can complete a work in 15 days and 10 days respectively. They started doing the was together but after 2 days B had to leave and A alone completed the remaining work. H many days did it took to complete the whole work?