# Questions tagged [gre-exam]

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

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### How can I solve this question without using calculator and in only 2.5 minuites.

This is a math subject GRE exam question, that I know how to solve but in more than 2.5 minuets and using a calculator, may be there is some intuition for solving this question that I do not know that ...
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128 views

### Solution to Integral Equation

Which of the following is a solution of $u(x) = x + \int_{0}^{x} (t-x)u(t)dt$?? (A) $\sin x$ (B) $x \cos x$ (C) $\ln (x+1)$ (D) $x e^{-x}$ (E) $xe^x$ Since all of the choices are twice differentiable,...
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360 views

### For how many values of $x$ are the median and the mean are equal? [closed]

I know how to calculate the mean and the median, but I do not know how to solve this. Could anyone help me please?
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### Calculating the equation of the plane tangent to a given surface in xyz space. [closed]

The solution is written below and I understood all the solution until saying that the value of z is 1, but I do not understand the rest, why z + x = 1, could anyone clarify this for me please ?
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### Limits at infinity of a function and its derivative [closed]

I do not know how to solve this question, could anyone help me please?
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5k views

### Number of integers between 1 and 1000 that are divisible by 30 but not divisible by 16.

I know that the number of integers between 1 and 1000 that are divisible by 30 is 33, and the number of integers between 1 and 1000 that are divisible by 16 is 62, but I do not know how to calculate ...
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224 views

### Using the rational root test (subject Math GRE exam 9768 Q.31)

I used the rational root test and my answer was B as -5 does not divide 9, but the correct answer is C. Could anyone clarify this for me please?
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1 vote
130 views

### Math subject GRE exam 9768 Q.30 (condition that a basis of a real vector space must satisfy)

I am sure that A,B and E are wrong, but I do not know which is right C or D, and why, could anyone help me please?
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410 views

### Sets Whose Elements Sum to an Even Integer

From the set of integers $\{1,...,9\}$, how many nonempty subsets sum to an even integer. This is probably trivial for most, but I am notoriously bad at counting, so I just want to make sure I am ...
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1 vote
120 views

### Calculating the value of a definite integral knowing the value of the integrand and its derivative on the boundaries.

I do not know how the givens are useful in solving this question: Could anyone help me please?
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### What is the smallest possible dimension $V_1$ intersection $V_2$ must have.

My answer was $A$ because the two vector spaces may be disjoint and hence intersection is $\{0\}$ whose dimension is zero by convention, but the correct answer is $C$. Could anyone clarify this for ...
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### Let $f$ be a function such that $f(x) = f(1-x)$ for all real numbers $x$. If $f$ is differentiable everywhere, then $f'(0)$

I do not know how to solve this question: Could anyone help me please?
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289 views

### Math subject GRE test 9768 Q.26

What is the fastest way to solve this question? I checked and I found that the derivative exists at $x = 1$.
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### Weird GRE mistake [duplicate]

According to the answer key, the correct answer is (a).... This is obviously a mistake, right? If a square matrix is invertible, then it has full rank.
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1 vote
264 views

### Determining the maximum value of a multivariable function under 4 inequality constraints.(Math GRE subject test 9768 Q.25)

I know that I should use Lagrange multiplier method, but how with the inequality constraints? could anyone help me please?
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