All GMAT Math Resources
Example Questions
Example Question #2 : Understanding Decimals
Which of the following is the square of twenty seven one-thousandths?
The correct answer is not among the other responses.
Seven hundred twenty-nine one-millionths
Seven hundred twenty-nine one-hundred-thousandths
Fifty-four one-hundred-thousandths
Fifty-four one-millionths
Seven hundred twenty-nine one-millionths
Twenty-seven one-thousandths = 0.027
Its square is
Multiply without regard to the decimals first:
0.027 and 0.027 have a total of six digits to the right of their decimal points, so position the decimal point in the answer so that there are six digits to its right.
This is seven hundred twenty-nine one-millionths.
Example Question #394 : Arithmetic
Which of the following is the cube of fifteen one-hundredths?
Forty-five one-hundred-thousandths
Three thousand three hundred seventy-five one-millionths
The correct answer is not among the other responses.
Forty-five one-millionths
Three thousand three hundred seventy-five one-hundred-thousandths
Three thousand three hundred seventy-five one-millionths
Fifteen one-hundredths = 0.15
Its cube is
Multiply without regard to the decimals first:
0.15, 0.15, and 0.15 have a total of six digits to the right of their decimal points, so position the decimal point in the answer so that there are six digits to its right.
This is three thousand three hundred seventy-five one-millionths.
Example Question #3 : Understanding Decimals
Subtract nine hundred six ten-thousandths from four tenths.
Three hundred ninety-four thousandths
Three thousand ninety-four ten-thousandths
Three hundred ninety-four ten-thousandths
Three thousand nine hundred four ten-thousandths
Five hundred six thousandths
Three thousand ninety-four ten-thousandths
Nine hundred six ten-thousandths = 0.0906
Four tenths = 0.4, or 0.4000
The difference:
This is three thousand ninety-four ten-thousandths.
Example Question #3 : Decimals
Which of these equations is not correct?
Although tempting, a calculator is not required to spot the correct answer.
is equal to as it is parts of . And therefore must be slightly different. (It's it actually )
Example Question #1 : Understanding Decimals
If we divide 10 by 3, what is the 10th digit after the decimal point of the quotient?
The tenth digit after the decimal point is 3.
When dividing 1 by 3 or 10 by 3, we get repeating 3s. So, there must be a 3 in the tenths digit.
Example Question #4 : Decimals
If and are positive integers such that = 4.46, which of the following numbers could be the remainder when is divided by ?
Given that
it follows that .
We don't need to know or , the only important information is that:
Where the remainder is any one of the answer choices. This is because the remainder for any divisor/dividend pair is the product of the decimal portion of the quotient and the divisor.
Since we don't know y, our answer choice for the remainder is any answer that satisfies the above equation for a positive interger, since is specified as such in the problem.
The only answer choice that satisfies the constraints on is 184:
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Example Question #1 : Real Numbers
Solve for x.
Add 3 to both sides:
Divide both sides by 2:
Example Question #1 : Real Numbers
Of 200 students, 80 take biology, 40 take chemistry, 60 take physics, 13 take two science courses, and no one takes three science courses. How many students are not taking a science course?
To calculate the number of students taking at least 1 science course, add the number of students who are taking each course and subtract the number of students who are taking 2 (to ensure they're not counting twice).
To calculate the number of students NOT taking a class, subtract this number by the total number of students.
Example Question #2 : Real Numbers
Which of the following expressions is equal to
Example Question #1 : Understanding Real Numbers
Given that , , and , evaluate .
Not enough information is given to answer the question
To find :
,
so
Since ,
and we choose the positive square root