# GMAT Question of the Day – Problem Solving – Overlapping Sets/Picking Numbers

At a certain rail-yard each train is either a freight train or a commuter train and either runs on the southern line or the northern line. 20% of the commuter trains run on the southern line and the number of freight trains that run on the southern line represents 20% of the total trains at the rail yard. If the commuter trains represent 44% of the total trains at the rail yard, approximately what percent of the trains run on the northern line?

A. 41%

B. 46%

C. 57%

D. 63%

E. 71%

[spoiler]**E.**[/spoiler]

## GMAT Question of the Day Solution

These GMAT overlapping sets questions are straightforward but take some organizing so it’s important to take your time with the set-up. On the whole, the GMAT is an organizational challenge. Try picking a value for the total. That should make things easier. Whenever you are dealing with a question that has variables or percents/proportions in the answer choices consider picking numbers to make the question more concrete. Also, did you define what you were looking for: Northern/Total? Defining the question will help you plan your work and will draw you towards the solution.

## More GMAT two group overlapping sets and probability practice!

## More GMAT overlapping sets practice questions!

Here’s an overlapping sets question that adds in a bit of probability. Don’t let the probability component get in your way! Often, probability questions are easy. Take it step by step.

Here’s a challenging sets question from the GMAT Prep Tests 1 and 2. Stay organized. Make the easy inferences and you should be fine.

This one is a bit different but will still give you 2 group practice and will give you exposure to overlapping sets on data sufficiency which often comes down to systems of questions/counting equations.

GMAT Question of the Day 2 group overlapping sets Data Sufficiency

Another system of equations/counting equations 2 group overlapping sets question. This one is tough.

GMAT Question of the Day Challenging 2 Group Overlapping Sets Data Sufficiency