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questions
List of practice Questions
A rectangular solid has a square base and altitude of 7. If the volume of the solid is 252, then the perimeter of the square base is
GRE
Quantitative Aptitude
Geometry
In the xy-coordinate system, the point (x, y) lies on the circle with equation \(x^2 + y^2 = 1\).
Column A: \(x + y\)
Column B: 1.01
GRE
Quantitative Aptitude
Geometry
A health food store prepares a breakfast food that consists of oats, raisins, and nuts mixed in the ratio 9:2:1, respectively, by weight. If the nuts in the mixture weigh 9.2 pounds, how many pounds does the total mixture weigh?
GRE
Quantitative Aptitude
Ratio and Proportion
\(3 - 2[5 - 7(3+2)] =\)
GRE
Quantitative Aptitude
Arithmetic
For every positive integer n greater than 1, n! is defined as the product of the first n positive integers. For example, \(4! = (1)(2)(3)(4) = 24\). What is the value of \(\frac{12!}{10!}\)?
GRE
Quantitative Aptitude
Number System
A market survey showed that 76 percent of the visitors at a certain resort came from Pacific or southwestern states. Of these, \(\frac{2}{3}\) were from California, and 87 percent of the Californians were from southern California. Approximately what percent of the visitors at the resort were from southern California?
GRE
Quantitative Aptitude
Number System
If \(\frac{5^4 - 1}{n}\) is an integer an n is an integer, then n could be each of the following EXCEPT
GRE
Quantitative Aptitude
Number System
Column A: x
Column B: 80
GRE
Quantitative Aptitude
Geometry
Integer n will be randomly selected from the integers 1 to 13, inclusive.
Column A: The probability that n will be even
Column B: The probability that n will be odd
GRE
Quantitative Aptitude
Probability
\(p + q = 1\)
\(0<p<q\)
Column A: \(\frac{1}{pq}\)
Column B: 1
GRE
Quantitative Aptitude
Algebra
\(2x + 3y = 29\)
\(3x + 4y = 41\)
Column A: \(x + y\)
Column B: 12
GRE
Quantitative Aptitude
Number System
\(PQ = OQ = 5\)
Column A: The area of region OPQ
Column B: 10
GRE
Quantitative Aptitude
Geometry
Column A: \((\sqrt{5} + \sqrt{5})^2\)
Column B: 20
GRE
Quantitative Aptitude
Exponents
\(\frac{n}{4} + \frac{r}{8} = \frac{s}{8} + \frac{t}{6}\), where n, r, s, and t are positive integers.
Column A: \(2n + r\)
Column B: \(2s + t\)
GRE
Quantitative Aptitude
Algebra
Column A: \(|x^2|\)
Column B: \(|x|^2\)
GRE
Quantitative Aptitude
Algebra
The square is inscribed in the circle.
Column A: The length of a diagonal of the square
Column B: The length of a diameter of the circle
GRE
Quantitative Aptitude
Geometry
\(x<y<20\)
Column A: \(x + y\)
Column B: 35
GRE
Quantitative Aptitude
Algebra
In college M the average (arithmetic mean) number of students per course is 30 and the ratio of the number of students to the number of faculty is 20 to 1.
Column A: The total number of students in College M
Column B: 600
GRE
Quantitative Aptitude
Ratio and Proportion
\(x>0\)
Column A: \(\frac{590 + x}{800}\)
Column B: \(\frac{600 + x}{790}\)
GRE
Quantitative Aptitude
Algebra
CONTROVERT:
GRE
Verbal Reasoning
Antonyms
PROTRACT:
GRE
Verbal Reasoning
Antonyms
ABRADE:
GRE
Verbal Reasoning
Antonyms
APOLOGIST:
GRE
Verbal Reasoning
Antonyms
In the rectangular coordinate system, the circle with center P is tangent to both the x- and y-axes.
Column A: The x-coordinate of P
Column B: The y-coordinate of P
GRE
Quantitative Aptitude
Geometry
Column A: \(\frac{3}{5} + \frac{2}{3}\)
Column B: 1
GRE
Quantitative Aptitude
Arithmetic
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