Questions tagged [gre-exam]
For questions relevant to the general or subject-specific Graduate Record Examination, abbreviated GRE.
412 questions
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Radially Open Topology on $\mathbb{R}^2$: Hausdorff, Countability, and Continuity [closed]
This problem appeared in (MATH GRE PREP: WEEK 2) form UCHICAGO 2019.
A subset $U \subseteq \mathbb{R}^2$ is radially open if for every $x \in U$ and every $v \in \mathbb{R}^2$, there exists $\...
- 6,076
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Using chain rule to find a partial derivative
I'm currently studying for the math GRE and this question was on one of the recent practice exams. I will restate the full question below, then provide my solution.
Let $u(x,y)$ and $v(x,y)$ be real-...
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4
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Compare $ \frac{5y-2x}{2x-2y} $ and $ \frac{5}{2x} + \frac{2}{2y} $
Given that $x,y$ are real numbers and $xy > 0$, and given that:
Quantity A:
$$ \frac{5}{2x} + \frac{2}{2y} $$
Quantity B:
$$ \frac{5y-2x}{2x-2y} $$
If the information provided is enough : Which one ...
- 5,439
2
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2
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Multivariate Chain Rule Question from GRE September 2023 Practice Test - Question 45
This question comes from the recently-released GRE Math Subject Test Form GR3768. The question is as follows:
Let $u(x,y)$ and $v(x,y)$ be real-valued differentiable functions that are implicitly ...
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2
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Given $a,b,c \in \mathbb{R}$, and $x,y,z \in \mathbb{R}$, with $x,y,z$ not all zero. Find $a^2+b^2+c^2+2abc$
This question is to be solved in about $3$ minutes, without a calculator.
Let $a,b,c$ be any real numbers. Suppose that $x,y,z$ are real numbers, not all simultaneously zero, such that
$$x=cy+bz$$
$$...
- 6,076
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4
answers
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Calculate expected number of heads in 10+$\xi$ coin tosses (GRE problem)
This is a problem from a preparatory GRE preparatory GRE test made by guys form University of Chicago.
Problem:
A man flips $10$ coins. With $H$ the number of heads, and $T$ the number of tails, the ...
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6
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About $I(a,b)=\int_{a}^{b}\sqrt{1+x+x^2+x^3+x^4}\text{ d}x$
The following is an MCQ question, one should answer it without a calculator, $\color{red}{\text{within $3$ minutes}}$.
$\text{Consider the expression}$
$$I(a,b)=\int_{a}^{b}\sqrt{1+x+x^2+x^3+x^4}\...
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1
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If you need 3:2:1 ratio of X,Y,Z to make a something, doesn't that mean you need 6 units:4 units:2 units to make two units of that thing?
Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing.
If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of ...
user1208473
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2
answers
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Is there a mistake in a GRE preparation book?
Preface:
I am preparing for the GRE Math subject test, and one of the books that I use is this one by Charles Rambo. I have currently been solving through the “Linear Algebra #1” section of the book, ...
- 1,411
2
votes
1
answer
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Why did my subtraction/addition manipulation of the answer choices of the work?
A buzzer sounds every $15$ minutes. If the buzzer sounded at $12:40$PM, which of the following could be a time at which the buzzer sounded?
A. $4:05$
B. $5:30$
C. $6:45$
D. $7:15$
E. $8:10$
I chose E.
...
user1203023
0
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1
answer
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Why does 1950/20 approximately equals 100 implies A and B are eliminated first?
Rachel needs to type up her 1950-word paper by its 5 pm deadline. If she starts at least two hours in advance, her typing speed will be a constant 20 words per minute, but for every two minutes beyond ...
user1202451
4
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2
answers
330
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Possible values of c in the polynomial $x^3+ax^2+bx+c$.
I'm studying for a GRE and this is a question from an old test:
Let $p(x)$ be the polynomial $x^3+ax^2+bx+c$, where $a,b,$ and $c$ are real constants. If $p(-3)=p(2)=0$ and $p'(-3)<0$, which of the ...
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In a division, why is every common divisor of the divisor and the remainder also a divisor of the dividend? [duplicate]
In the GRE quantitative reasoning exam, I came across the following question: when the positive integer $n$ is divided by $45$, the remainder is $18$. Which of the following must be a divisor of $n$?
...
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0
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What is the largest order of an element in the group of permutations of $n$ objects?
I have a very little knowledge in abstract algebra and want to know what does the problem actually mean.
I encountered this question in the official test
$\text{Graduate Record Examination - Math ...
- 6,076
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2
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GRE - Standard Deviation Question (Quantitative Comparasion)
Each video game that a video game shop sold last year was either for the PS4 or Xbox One. The shop sold new PS4 Games for USD 60 and new Xbox One Games for USD 30. The standard deviation for all of ...
