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

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A GRE subject problem about linear algebra [duplicated]

The problem is: Let $V$ be the real vector space of all real $2×3$ matrices and let $W$ be the real vector space of all real $4×1$ column vectors. If T is a linear transformation from $V$ onto ...
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GRE permuation and combination problem 1

Question: The University of Maryland, University of Vermont, and Emory University have each $4$ soccer players. If a team of $9$ is to be formed with an equal number of players from each university, ...
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How to prove these conditions right or wrong?

To solve the questions, I can write easily that The area of ADC and BDC triangles equal and similarly EBD and CED triangle areas are equal. From this conditions how to show the following ...
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GRE word problem 2

Question: At $1$ PM, Ship $A$ leaves port heading due west at $x$ miles per hour. Two hours later, Ship $B$ is $100$ miles due south of the same port and heading due north at $y$ miles per hour. At ...
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GRE combination problem $877$.

A computer password must be $5$ characters long. The first character must be a capital letter. The second character must be one of eight specified symbols. Each of the fourth and fifth characters ...
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problem gre combination 245

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR? i don't know about right answer ,but ...
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gre problem %% combination42

Find the number of ways in which 8064 can be resolved as the product of two factors? this answer is right or wrong ,can anyone explain this ....... 8064=27*32*7 number of factors =(7+1)(2+1)(1+1)=48 ...
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combination gre problem # 24

How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? Can anyone explain me why this answer is wrong: 4*4*4 ?
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GRE word problem 1

Question: Scott starts jogging from point $X$ to point $Y$. A half-hour later his friend Garrett who jogs $1$ mile per hour slower than twice Scott's rate starts from the same point and follows the ...
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combination GRE problem 25

An appliance's model number consists of three alphanumeric characters. The first character must be one of 24 permissible letters of the alphabet. The next character is numeric, a digit from 1 to 9. ...
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Differential Equations Text (Math GRE)?

I am currently looking for a Differential Equations text from which to study for the Math GRE Subject Test. (As a side note, I currently own a copy of Stewart's Calculus.) Any suggestions of ...
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Need some help in understanding how to solve this GRE question.

Need some help in understanding how to solve this GRE question. Question: The population of a country increases at a fixed percentage each year. Column A: Increase in population in the first decade ...
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127 views

Multivariable Calculus for GRE

This is going to sound strange, but I am a third year math major who never took multivariable calculus (despite having taken courses on Galois and Lebesgue theory, etc). I plan to take the GRE next ...
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2answers
174 views

Difficult GRE Math question, an definite integral. [closed]

I would like to solve $\int_{0}^{\infty} \lfloor x\rfloor e^{-x} dx$ for its exact solution. This was on a previous GRE Mathematics exam.
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1answer
160 views

Ultimate GRE Prep

I'm planning on taking the math GRE Subject Exam in April (~11 months from today). I want to start preparing now in the hopes of scoring in the 95+ percentile. I have already taken a number of ...
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1answer
51 views

$f(\frac1{1234}) + f(\frac3{1234}) + f(\frac5{1234}) + … + f(\frac{1231}{1234}) + f(\frac{1233}{1234}) = ?$

If $f(x) = \frac{e^{2x-1}}{1+e^{2x-1}}$, then how to evaluate $$f(\frac1{1234}) + f(\frac3{1234}) + f(\frac5{1234}) + ..... + f(\frac{1231}{1234}) + f(\frac{1233}{1234}) ?$$ I know I'm missing some ...
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GRE math problem 2

Column A: The area of a square with perimeter $12$. Column B: The area of a parallelogram with perimeter $16$. Is Column A > B?, B < A, both equal, or is there not enough information? The answer ...
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GRE math problem 1

If $c$ and $d$ are two integers and $@$ is defined in $a$ and $b$ as $@(a,b)=(a+1)(b+2)$, and $@(c,d)$ equals the product of $3$ and $5$, then what could be the value of $c+d$? A. $-11$ B. $0$ C. ...
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367 views

Probability with a coin and a die [closed]

This is for the GRE: ...
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Permutations of 4 people in a line

This question is from the GRE math: A group of 4 people are standing in a straight line. In how many different ways can these people be standing on the line? The ...
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What does this equation represent in the complex plane? [closed]

What does the set of complex numbers z satisfying the equation $$(3 + 7i) + (10 - 2i) \bar z + 100 = 0$$ represent in the complex plane?
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1answer
29 views

Calculate work of machines

This is a GRE question: ...
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Find the limit of $(a_k)_k$ where $a_k = \lim_{n\to\infty} \frac1n\sum_{m=1}^{kn} \mathrm{exp}(\frac12.\frac{m^2}{n^2})$

For $k \ge 1$, let $$a_k = \lim_{n\to\infty} \frac1n\sum_{m=1}^{kn} e^{\frac12.\frac{m^2}{n^2}}$$ Find the value of $$\lim_{k\to\infty} a_k$$
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Word problem about combinations

This GRE problem states: Books are packed into 4 boxes so that each box contains at least 5 books, but each box has a different number of books. ...
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$b_k = \sum\limits_{j=0}^4 j\omega^{-kj}$, for $0\le k\le4$ $\Rightarrow$ $\sum\limits_{k=0}^4 b_k\omega^k$ =?

Let $\omega$ denote a complex fifth root of unity. Define $b_k = \sum\limits_{j=0}^4 j\omega^{-kj}$, for $0\le k\le4$. Then find the value of $\sum\limits_{k=0}^4 b_k\omega^k$.
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Find the largest exponent

I've got this GRE math question: The integer y is positive. If $6^y$ is a factor of $(2^{14})(3^{24})$, then what is the greatest possible value of y? The answer is ...
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Find perimeter of traiangle when you know two sides

Here's the GRE problem: The length of one side of a triangle is 12. The length of another side is 18. Which of the following could be the perimeter of the triangle? ...
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Distance and speed of two people walking 100 miles

This is for GRE math prep. Can you explain why the answer to this is 54? ...
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2answers
50 views

Which classes do you recommend for the GRE math subject test?

(Not the quantitative section of the standard GRE) I am currently a math teacher (up to calc AB). I want to eventually go for my masters in applied math, but because I have a bachelors in business, I ...
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GRE Mathematics Multivariable Calculus

I'm studying for the GRE subject test on 4/5, and I've been going through the princeton review book, which seems to be the canonical guide. In the multivariable section the theorems are pretty basic, ...
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Find the limit involving a Riemann sum.

Evaluate the two limits. $$ \lim_{n\to \infty} \left(\frac1n\right)^{15}\sum_{k=1}^nk^{15} \tag{1} $$ $$ \lim_{n\to \infty} \left(\frac1n\right)^{17}\sum_{k=1}^nk^{15} \tag{2}$$ can anyone please ...
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Intuition behind combination problem

I came across this question on a GRE practice exam. I'm trying to build intuition behind how to correctly approach these types of problems: A reading list for a humanities course consists of 10 ...
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Given $a=bc$ and $c\geq 1$ and $b\neq 0$, which is greater: $a$ or $(b+c)$?

I am trying a GRE question, and I have the following: Given $a=bc$ and $c\geq 1$ and $b\neq 0$, Answer A: $a$ > $(b+c)$ Answer B: $a$ < $(b+c)$ Answer C: $a$ = $(b+c)$ Answer D: The ...
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gre quanitative question confusion

I tried a few different ways and I end up getting it wrong. What is messing me up is years 1995 and 1996. I know there is a 30 percent increase somewhere but not sure where. Thanks
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148 views

If $f$ and $f''$ are square integrable is $f'$?

Let $f:[0,\infty)\rightarrow \mathbb{R}$ be twice differentiable. Such that $\int_{0}^{\infty}f(x)^{2}dx<\infty$ and $\int_{0}^{\infty}f''(x)^{2}dx<\infty $, show that ...
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Show that there $f$ nondecreasing in $[0,1]$which is continuous only in irrationals. [duplicate]

This question fell on our last test of the course of Measure and Integration. I have talked with several people and nobody could help me. Do not even know where to begin! I tried to define a function ...
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GRE Question [Word Problem]

The following is a question i got wrong on the GRE practice test. There is no explanation provided. I have actually a confusion as to what is even being asked and how they get the answer $r^{2} ...
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1answer
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finding Horizontal asymptoten

how to find the Horizontal asymptote for this equation : $f(x)= \sqrt {9^2+2x}-3x$ I have tried to find the lim where x goes to infinity and negative infinity then what ?
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Easy GRE question: Statistics

I'm not sure how to set this statistics problem when they give me a group of arbitrary values. Can someone help? A group of 20 values has a mean of 85 and a median of 80. A different group of 30 ...
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2 Easy GRE questions

I've been having trouble with these two questions. The first is simple interest, the second is rate. I'm sure they're easy but I can't focus on getting the solution because I'm terrible at focusing on ...
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GRE - Percentage Question

A full glass of juice is a mixture of 20% grape juice and 80% apple juice. The contents of the glass are poured into a pitcher that is 200 percent larger than the glass. The remainder of the ...
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Math gre subject test scores and results?

I took the math gre scores back in October and did terribly (52%) even though I was scoring in the 70-80% on practice exams. I am interested in applying to Stanford's ICME and Berkeley's Stats ...
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GRE General Test Math Practice Questions

I am participating in the General Test next month. Can anyone please tell me of good source where I can get a lot of practice questions? Better if free! If anyone else is preparing as well, what ...
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A GRE question which I have no idea what is it asking

I have no idea what this test is asking...maybe my English is poor. How do you think about it? Also, it would be appreciate if you can also show me the solution. The correct answer is as indicated in ...
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GRE counting problem

I have approached this question the following way. For Quantity $A$: The number of ways to pick $3$ cards including $1$ is : $1\cdot 4\cdot 3=12$ ways. [$1$ ...
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What is an acceptable GRE math subject score? [closed]

What is a rough estimate (median or maybe third quartile) on the math subject GRE score for a math program at the PhD level, in applied math, at a Group 2 or Group 3 school? Thanks!
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What is the one thing I am going to forget on the math subject GRE tomorrow?

As I finish up my final study session for the subject test tomorrow, I was wondering if anyone had some general advice/ often forgotten facts that might come in handy.
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abstract algebra problem..

Let $U = \{1,0,c\}$ be a ring with three elements ($1$ is the unity). Which statements are true? \begin{align*} &I.\,\,\,\,\,\,\,\,1 + 1 + 1 = 0 \\ &II.\,\,\,\,\, 1 + 1 = c \\ &III.\,\,c^2 ...
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A Calculus problem in GRE math sub test

$$\int_0^{\frac{\pi}{2}} \frac{\sin^3(t)}{\sin^3(t)+\cos^3(t)}$$ I tried to use $x=\tan(t)$ to transform but it's really a mess..
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Is Apostol's Calculus a Good Book to Use for GRE Math Subject Test Prep

I am going to take the math subject GRE, and after looking at the main topics (calculus, diff eqns, linear algebra, prob, and algebra), I got to wondering if Apostol's text on Calculus might not be a ...