Recent questions in Exam Queries

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31
If $\text{O}$ is the center of the circle, what is the area of the shaded portion in square cm?$4 \pi-4 \sqrt{2}$$\frac{7}{2} \pi-4 \sqrt{2}$$\frac{7}{2} \pi-4 \sqrt{3}$$...
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32
Let $\sigma$ be a uniform random permutation of $\{1, \ldots, 100\}$. What is the probability that $\sigma(1)<\sigma(2)<\sigma(3)$ (i.e., what is the probability that the...
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38
A palindrome is a string that reads the same in reverse (e.g. ABBA or KAYAK or MALAYALAM).How many strings of length 5 using the letters from $\{A, B, C, D, E\}$ have no ...
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39
Compute $\int_{16}^{\infty} \frac{1}{x} \cdot \frac{1}{\sqrt{\sqrt{x}-1}} d x$.$0$$\frac{\pi}{3}$$\frac{\pi}{2}$$\frac{2 \pi}{3}$$2 \pi$