# Questions tagged [gre-exam]

For questions relevant to the general or subject-specific Graduate Record Examination, abbreviated GRE.

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### GRE question - unintersection

I'm struggling to visualize the following GRE problem: The solution says that for $m$ and $n$ to intersect on the right, it has to be the case that $2x+3x>180$, after that we get $x>36$. But I ...
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### GRE Question regarding two quantities

These are sample questions The question states this w > 1 ....Quantity A..............................Quantity B 7w - 4 .....
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### finding out percentiles from given data

I'm trying to improve my understanding of percentiles by just coming up with data of my own and analyzing it (as opposed to just mostly reading 'x' percentile means you performed better than x % of ...
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### Follow up question from: If p and q are prime which elements are in the subgroup? (GRE question)

original question: If p and q are prime which elements are in the subgroup? (GRE question) I would simply like to ask a follow up question since I don't quite fully understand why the correct answer ...
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### Problem on area of curve from GRE Math Subject

Find the area of curve between hyperbola $x^2-y^2=9$, $x$-axis and diameter, which passes through point $(5;4)$ My solution: The equation of line is $y=\frac{4}{5}x$ and it intersect hyperbola at ...
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### Explanation of this percentile GRE problem.

Question: 300 test results are integers ranging from 15 to 75, inclusive. Dominick’s result is clearly in the 80th percentile of those results, not the 79th or the 81st. Quantity A: Number of other ...
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### Question regarding exponents and negative numbers

Is it always safe to assume that $-2^2 = -4$, or is this dependent on notation, i.e. would it be mathematically correct (albeit sloppy) to say $-2^2 = (-2)^2 = 4$? Specifically, I'm asking in the ...
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### Word Problem from GRE Quant

Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures $10$ inches on a side and costs $\$10$, and a large pizza that measures$15$inches on a side and costs$\$20$. If two ...
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### GRE: Can area of this parallelogram be known?

A GRE question asks whether the area of parallelogram can be found only using the information provided above. Area of parallelogram = base x height If we cut off one end to form a triangle and ...
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### Weird word problem from GRE Quant

Today when I was solving problems from GRE Manhattan I ran into a strange word problem. The first line of the problem already seems weird since $\frac{3}{8}$ of $420$ is not an integer, namely it is ...
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### F inding out possible remainders when dividing an integer

I was stuck trying to solve a GRE math question, and this question came to my mind when I looked at the solution. The question is For some integer $q$, $q^2 - 5$ is divisible by all of the following ...
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### Geometry book for the mathematics GRE exam

Can someone recommend a geometry textbook for the mathematics GRE? I'm not looking for a textbook that can be used to teach an undergraduate level course in geometry. Rather, I'm looking for a ...
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### Properties of a nonempty subset S of $\mathbb{R}$. [closed]

The solution of the following question is letter (C), but I did not understand why it is letter (C), could anyone clarify this for me please? thanks!
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### Finding the volume of the solid by the method of areas.(math subject GRE exam 1268 Q.22)

The question is in the following picture: The solution of the question is in the following video, https://www.youtube.com/watch?v=2zry1DM7I8U&list=PL81IATpFpPBgrG8fZ3tRO41nNypY5xtEP&...
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### Lipschitz condition without absolute value implies continuity (GRE 9367 Problem 25)

Let $f$ be a real-valued function with domain $[0,1]$. If there is some $K > 0$ such that $f(x) - f(y) \le K|x-y|$ for all $x,y \in [0,1]$, which of the following must be true? I don't feel like ...
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### Which of the following equations has the greatest number of real solutions?(math subject GRE exam 1268 Q.17)

Could anyone give me a hint for the most rapid way for solving this question (solving it in exactly 2.5 minutes)? Thanks!
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### Statistics problem in GRE Quant

Suppose we have data set: $19, 21, 22, 22, 28, 31, 33, 44, 50$. Find the interquartile range of this set. First solution: Firstly, we should find the $75$th percentile of this set. $0,75\cdot 9=6,75$...
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### Probability question from GRE Quant

The probability that Tom will win the Booker prize is $0.5$, and the probability that John will win the Booker prize is $0.4$. There is only Booker prize to win. What is the probability that at least ...
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### Help me focus my study for the GRE math subject exam [closed]

I'm preparing for the GRE Math Subject test, but I'm at a bit of a disadvantage, having never taken an algebra class or a probability class. Obviously I'm not going to learn a semester of abstract ...
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### Inequality from GRE Quant

I am preparing to GRE Quant and I ran into one problem which seems to me bit false. If $(x+1)^2-2x>2(x+1)+2,$ then $x$ cannot equal which one of the following? (A) -5 (B) -3 (C) 0 (D) 3 (E) 5 ...
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### Confusion about the Fundamental Theorem of Calculus

So, I am preparing myself for the math subject GRE with a practice test. Not only did I bomb the test, but I found that even things I thought I understood now seem confusing. Case in point: the ...
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### The group of symmetries of the regular pentagram is isomorphic to what. (Math GRE exam 0568 Q.60)

For me this type of question I have not ever seen it, my understanding to the solution is not clear, and I do not understand why the other choices are wrong, could anyone explain this for me please? ...
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### Question from GRE Quant

The rate of data transfer, $r$, over a particular network is directly proportional to the bandwidth, $b$, and inversely proportional to the square of the number of networked computers, $n$. Quantity ...
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### Preimage of Closed Set Under a Continuous Map Isn't Closed?

Problem: In the $xy$-plane, the graph of $x^{\log y} = y^{\log x}$ is (A) Empty (B) A single point (C) A ray in the open first quadrant (D) A closed curve (E) The open first quadrant Here is ...
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### Integral of the Product of a Function and Its Derivative

Problem: Let $f$ be a function such that the graph of $f$ is a semicircle $S$ with end points $(a,0)$ and $(b,0)$, where $a < b$. The improper integral $\int_{a}^{b} f(x) f'(x) dx$ is (A) ...
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### For what values of t does the eigenvalues $\lambda_1$,$\lambda_2$ has the value $\lambda_1$+$\lambda_2$ = 1.

Do not know how to solve it, could anyone help me please?