Analytical Questions

Employers use Analytical Questions or brainteasers to explore your ability to use logic. What really matters when answering these is your thought process in arriving at a solution, rather than knowing the one correct solution.  The key to doing well is to make sure your thinking is clear and logical and to state your assumptions, if there are any.  Remember, there is no one correct answer; it is how you approach the question that counts.

Since the most important thing is the process you use, rather than the actual numbers, let’s first devise an approach and then supply some estimates afterwards, using reasonable assumptions along the way.  For example, let's use the following analytical question: 

"HOW MANY BLUE CARS ARE THERE IN THE U.S.?"

Do the problem in a 2-step process:

1.  Figure out the number of cars in the country, remembering that corporations as well as individuals can own cars.

2.  Take a wild guess as to the subset of cars that are blue.

Now put in the numbers, referring to the 2-step process outlined above:

1a.  (250 million people in the country)*(an average of 0.5 cars per person)=125 million cars    owned by people.  The justification for the 0.5 is that it is a balance between people who own their own cars and families in which the cars are shared.

1b.   Add another 20 million cars on top of the 125 million to capture the number of cars owned by corporations (such as limousine/taxi companies, company cars, etc.)

1c.   Total=125 million+20million=145 million cars in the country.  Let’s round up to 150 million to make the math easier.

2.     Because the color blue is fairly common, let’s assume that 30% of cars are blue.  So, 30%* (150 million cars)=45 million.  This means that about 50 million blue cars exist in the U.S.

Tips for Answering Analytical Questions

  •  Don’t get bogged down in exact numbers: It is better to select round numbers that you can easily multiply or divide.  Remember that (1) the interviewer is not as concerned with what numbers you use, and (2) more accurate numbers might be harder to manipulate, causing you to get your math wrong, which the interviewer will not like.

  • Don’t be afraid to think out loud: Doing the work in your head and then presenting your answer to the interviewer isn’t very useful.  They will not know how you arrived at your answer and will probably ask you to describe your thought process.  Again, the interviewer is interested in your ability to use logical reasoning.

  • Don’t be afraid to ask “stupid” questions:  If there is some fact that you need to know to answer the question (such as the circumference of the earth) and you don’t know it, either make up a reasonable number or ask the interviewer.  Don’t worry, it won’t be held against you.

Copyright © 2003 Southern Methodist University. All rights reserved.
Right to Know and Other Legal Disclosures