Bidyut Guha Thakurta and Amitava Mitra Solutions for Exercise 1: EXERCISE 1A

The base of a triangle is $8 \mathrm{cm}$ less than twice its height. If the area of the triangle be $320 \mathrm{sq}.\mathrm{cm}$, find its height.

To do a piece of work Samir takes $15$ days less than Kamal. If they work together they can finish the work in $10$ days. How many days will each take to finish the work separately?

288 oranges are distributed among $20$ boys and girls in such a way that each boy get oranges which is same as the number of girls and each girl gets oranges which is same as double the number of boys. If the number of girls is maximum, find their number

To cover a distance of $160 \mathrm{m}$ the front wheel of a car rotates $12$ times more than the back wheel and the circumference of the front wheel is $3 \mathrm{m}$ less than the back wheel. Find the circumference of each wheel.

The present age of father is the square of present age of son. After some years when the age of son is half the present age of father, then age of father will be 8 times the present age of son. Find the present age of father.

A man goes to place of distance $8 \mathrm{km}$ and returns to the same place by boat in $4$hours $16$ minutes. If the speed of the stream is $1 \mathrm{km}/\mathrm{hr}$. Find the speed of boat in still water.

The fund of a club is $₹195$. Each member gives the amount of money equal to the number of members and the total amount is distributed equally among them and each gets $₹28$. Find the number of members of the club.

When a group of soldiers are arranged in $4$ deep hollow squares the number of soldiers in the front row is $16$ more than the number of soldiers in the front row when they are arranged in perfect squares. Find the number of soldiers.