Every day, a factory making pencils sends 2889 pencils to the town market and 1409 pencils to markets in other states. We know that a little more than 594 pencils are remaining in the factory. If we know that the factory makes a perfect square number of pencils every day, what is the smallest possible number of pencils remaining in the factory?
Samira's roll number is a two digit number. Her friend Shakeel's roll number has the same digits as Samira's roll number, but with digits interchanged. If they add their roll number, and divide the sum by 11. Find the remainder of this division.
Can not be determined without knowing the roll number