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

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Left Cosets of Cyclic Subgroup

Question from a GRE Math book that I'm having trouble understanding: Find the number of left cosets of the cyclic subgroup generated by (1, 1) of $$Z_{2} \times Z_{4}$$ where Zn denotes the cyclic ...
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19 views

Mathematics Subject GRE Apps [on hold]

I was wondering if anybody could recommend any smartphone apps which would be helpful for the Mathematics Specific Subject GRE exam. Most of the resources I have found are for the general GRE. ...
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Math GRE: Calculus Textbooks - is Spivak + Stewart + Rudin sufficient?

Recently, I splurged and spent $1000 in math textbooks in preparation for the Mathematics GRE subject test. So far, in terms of calculus books, I have purchased Spivak, Stewart, and Baby Rudin. Is ...
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33 views

Flower bed Walk and Area

What is a flower bed walk? I don't know what the walk is so I can't solve this problem A rectangular flower bed, dimensions 16 yards by 12 yards, is surrounded by a walk 3 yards wide. What is the ...
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36 views

Quantitative comparision between x and 1/x

Following is a GRE question called quantitative comparison. Quantity A = $x$ Quantity B = $1/x$ $-1<x<0$ Options are as follows: a) Quantity A is bigger b) ...
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52 views

Derivation of the “Combined Work Formula”

Before I get to my question, some background: Person $A$ can paint a fence at the rate $9 \frac{hour}{fence}$ (or equivalently $\frac{1}{9} \frac{fence}{hour}$) Person $B$ can paint a fence at the ...
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32 views

Finding distance using rates of change — best approach?

The question: A man drives from state $A$ to state $B$ going $60 \frac{miles}{hour}$. Then he returns from state $B$ to state $A$, driving $45 \frac{miles}{hour}$. His total driving time is $2.5 ...
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GRE - Standard Deviation

The frequency distributions shown above represent two groups of data. Each of the data values is a multiple of 10. Quantity A = The standard deviation of distribution A Quantity B = The standard ...
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GRE - Pobability Question

One person is to be selected at random from a group of 25 people. The probability that the selected person will be a male is 0.44, and the probability that the selected person will be a male who was ...
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58 views

GRE - Probability Question

For a certain probability experiment, the probability that event $A$ will occur is $\displaystyle\frac12$ and the probability that even $B$ will occur is $\displaystyle\frac13$. Which of the following ...
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56 views

A GRE - Probability Question

In a probability experiment, G and H are independent events. The probability that G will occur is r, and the probability that H will occur is s, where both r and s are greater than 0. Quantity A The ...
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Given $(x+3)(y−4)=0$, what is the relationship between $xy$ and $-12$?

Given $(x+3)(y−4)=0 $ Quantity $A = xy $ Quantity $B = -12 $ A Quantity $A$ is greater. B Quantity $B$ is greater. C The two quantities are equal. D The relationship cannot be determined from ...
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GRE - Integer Question [closed]

How do I calculate the following? What is the sum of the odd integers from $1$ to $199$? What is the sum of the even integers from $2$ to $198$?
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A GRE Geometry Question

P, Q, and R are three points in a plane, and R does not lie on line PQ. Which of the following is true about the set of all points in the plane that are the same distance from all three points? A It ...
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37 views

Maximum Area of a Triangle when 1 Side, Perimeter Known

This is an example of a "quantitative comparison" question the GRE would test. Suppose the following information is known: one side of a triangle has length 12 the perimeter of the triangle is 40 ...
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2answers
234 views

Area of Triangle when 2 Sides and No Angle Known

It is quite possible this question has no answer -- that is, the area cannot be determined from the information given. It's a question I've created myself as I study for the GRE. No trigonometry is ...
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2answers
33 views

A kind of a remainder problem [closed]

Every integer of the form $(n^3-n)(n^2-4)$ for $n=3,4,\cdots$ is: (A) divisible by $6$ but not always divisible by $12$. (B) divisible by $12$ but not always divisible by $24$. (C) divisible by ...
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34 views

Finding the possible dimensions of the intersection of subspaces

I read this problem, If $V$ and $W$ are 2-dimensional subspaces of $\mathbb{R}^{4}$ what are the possible dimensions of $V\cap W$? I know the answer is: 0, 1, or 2. But I would like more insight ...
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64 views

Solving $4a+5b=27$ where $a,b$ are two different positive integers

This problem is making my head spin: The costs of equities of symbol A and symbol B (in dollars) are two different positive integers. If $4$ equities of symbol A and $5$ equities of symbol B together ...
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4answers
59 views

A simple question of probability. [closed]

Let p is the probability of success and q is the probability of failure in a trial.Let n is the number of independent trials,then what is the probability of success? $1.np$ $2.pq$ $3.n(1-p)$ ...
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2answers
85 views

GRE Multiple Choice Question - Select One or More Answer Choices

GRE Multiple Choice Question. Question: If $a=3+b$, which of the following is true? $\left (\mathrm{I} \right ) a>b+2.5$ $\left (\mathrm{II} \right )a<b+2.5$ $\left (\mathrm{III} \right ...
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A question of topology.

If S is a subset of $\hspace{0.1cm}$$[0,1]\times[0,1]$$\hspace{0.1cm}$ such taht one point of the ordered pair is rational and the other is irrational or both are irrationals,then which of the ...
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54 views

A question of real analysis.

If for every $\epsilon>0$ there exists $\delta>0$ such that $$|f(x)-f(1)|\geq\epsilon $$ whenever $$|x-1|\geq\delta$$ Then which of the following is true? A.$f$ is discontinuous at $x=1$ B.$f$ ...
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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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39 views

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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52 views

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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54 views

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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1answer
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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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178 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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192 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
256 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
55 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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380 views

Probability with a coin and a die [closed]

This is for the GRE: ...
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1answer
19 views

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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2answers
31 views

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
35 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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23 views

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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62 views

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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2answers
39 views

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? ...