Graduate Management Admission Test (GMAT) Practice Test

Disable ads (and more) with a membership for a one time $2.99 payment

Prepare for the GMAT exam with flashcards and multiple choice questions. Each question includes hints and explanations. Enhance your readiness and boost your confidence before your test!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

What is the relationship between a number and its square root if the number is a fraction?

It equals the number
It is greater than the number
It is less than the number
They are unrelated

The correct answer is: It is greater than the number

The relationship between a number and its square root can be understood by examining the properties of fractions. When a fraction is less than one, which is often the case when discussing square roots of fractions, the square root of that fraction will yield a value that is greater than the original fraction. For example, let's consider a fraction like 1/4. The square root of 1/4 is 1/2. Here, 1/2 (the square root) is greater than 1/4. This holds true for any fractional number that is between 0 and 1; the square root will always yield a value that is greater than the original number. In contrast, if the fraction is greater than one (for instance, 4/1), the square root would be less than the original fraction. Therefore, the key point is that for fractions less than one, the square root will always be greater than the fraction itself. This understanding clarifies that the relationship indicated in the correct choice captures this essence accurately.