# Questions tagged [gre-exam]

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

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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 can ...
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### Finding a number given its remainder when divided by other numbers

I have this GRE question that I'd like to know how to solve. I want to solve it in as simple a way as possible, since it is GRE material. In particular, I don't want to use "congruences" or modulo ...
### Answering a question containing $\sqrt{1.5}$ without using calculator.
Of the following which is the best approximation of $\sqrt{1.5}(266)^{\frac{3}{2}}$? (A)1,000 (B)2,700 (C)3,200 (D)4,100 (E)5,300 How can I answer this without using a calculator and in about 2....
Let $\Omega$ be a countably infinite set, and let $F$ consist of all subsets of $\Omega$. Define $\mu(A) = 0$ if $A$ is finite and $\mu(A) = \infty$ if $A$ is infinite. Show that $\Omega$ is the limit ...