Leela invited some friends for tea on her birthday. Her mother placed some plates and some puris on a table to be served. If Leela places $4$ puris in each plate $1$ plate would be left empty. But if she places $3$ puris in each plate $1$ puri would be left.
Find the number of plates and number of puris on the table.
In computing the area of a square, Shekhar used the formula for area of a square, while his friend Maroof used the formula for the perimeter of a square. Interestingly their answers were numerically same. Tell me the number of units of the side of the square they worked on.
Out of a swarm of bees, one fifth settled on a blossom of Kadamba, one third on a flower of Silindhiri, and three times the difference between these two numbers flew to the bloom of Kutaja. Only ten bees were then left from the swarm. What was the number of bees in the swarm?