All GMAT Math Resources
Example Questions
Example Question #152 : Algebra
What value must take in order for the following expression to be greater than zero?
is such that:
Add to each side of the inequality:
Multiply each side of the inequality by :
Multiply each side of the inequality by :
Divide each side of the inequality by :
You can now change the fraction on the right side of the inequality to decimal form.
The correct answer is , since k has to be less than
for the expression to be greater than zero.
Example Question #361 : Arithmetic
In order to add these fractions, we must first find a common denominator for all three. Looking at our three different denominators, we can see that their lowest common denominator is 12. Therefore, we need to rewrite each fraction with a denominator of 12:
Now that the fractions all have a common denominator, we can simply add them together and then simplify the result, recognizing that 27 and 12 have a common factor of 3:
Example Question #11 : Fractions
Which of the following is less than ?
In order to determine which fractions are less than , it's best to convert them to decimals and compare:
Therefore, is the only choice that is less than
.
Example Question #362 : Arithmetic
Define an operation as follows:
For all real numbers ,
Evaluate .
None of the other responses is correct.
Example Question #12 : Fractions
Casius has of a liter of water. Olivar has
of the amount Casius has. How many liters of water does Olivar have?
This question tests your ability to read word problems and multiply fractions. Because we know that Olivar has of what Casius has, we can see that we need to multiply. Perform the following operation to find the answer.
Example Question #11 : Fractions
Define an operation as follows:
For all real numbers ,
Evaluate , and round to the nearest whole number.
This rounds to 3.
Example Question #11 : Fractions
Seven thirds of eighteen seventieths is what?
Seven sixths
Five thirds
Seven fifths
Three sevenths
Three fifths
Three fifths
Seven thirds of eighteen seventieths is
Example Question #14 : Fractions
One orange yields cup of juice; one gallon is equal to 16 cups. How many oranges are needed to yield one half gallon of orange juice?
One half gallon comprises 8 cups. To find the number of oranges needed, divide:
Example Question #11 : Fractions
Raise to the fourth power and express the result in lowest terms.
reduces to
. Raise this to the fourth power:
Example Question #18 : Fractions
Evaluate:
Certified Tutor
Certified Tutor
All GMAT Math Resources
