GMAT Question of the Day – DS – Exponents

GMAT Question of the Day Word Problem Ratios

GMAT Question of the Day – Data Sufficiency – Exponents

If 2^x = y^{24} what is the value of x – y?

(1) x = 48

(2) x and y are both multiples of 2

[spoiler]E.[/spoiler]

GMAT Question of the Day Solution

Whenever you see even exponents consider that a negative value could be hidden. In this case you can see that because of the even exponent y^24 will be positive even if y is negative. For Statement (1) if x is 48 y must be 4 or -4. Two values of y yield two values for x – y so this statement is insufficient. Statement 2 tells us that both x and y are integers but we can use the same values from statement (1) and get multiple outcomes for x – y. Insufficient. Putting both statements together there is no new information.

GMAT Question of the Day Exponents Solution Diagram

Sign up for 1 challenging GMAT question and solution per week

If you’d like a challenging GMAT question sent to you once a week go ahead and sign up with the form below. We have hundreds of great questions that for this email list we’re narrowing down to the best of the best. We won’t send you anything else. Unsubscribe whenever you want.

GMAT Question of the Day Signup

  • This field is for validation purposes and should be left unchanged.

How to work with us

All of the intake info we need to schedule an initial call to see if we are a good fit.