List of top Quantitative Aptitude Questions on Remainders

What is the remainder when \(2^{31}\) is divided by 7?

A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?

For nonnegative integers x and y, what is the remainder when x is divided by y?
1. \(\displaystyle \frac{x}{y}=13.8\)
2. The numbers \(\displaystyle x\) and \(\displaystyle y\) have a combined total of less than 5 digits.