Build a question paper in 60 seconds.

1. A
   $a^2 + b^2 - c^2$
2. B
   $c^2 + a^2 - b^2$
3. C
   $b^2 - a^2 + c^2$
4. D
   $a^2 - b^2 - c^2$

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1. A
   1:2
2. B
   2:1
3. C
   9:8
4. D
   8:9

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1. A
   0
2. B
   1
3. C
   $-3$
4. D
   3

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1. A
   $\frac{19}{100}$
2. B
   $\frac{81}{100}$
3. C
   $\frac{9}{100}$
4. D
   $\frac{91}{100}$

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1. A
   $2\sqrt{5}$
2. B
   6
3. C
   4
4. D
   $4\sqrt{2}$

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1. A
   30
2. B
   50
3. C
   51
4. D
   31

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1. A
   $n\pi + (-1)^n\frac{\pi}{2} + \frac{\pi}{6},\; n \in \mathbb{Z}$
2. B
   $n\pi + (-1)^n\frac{\pi}{2} - \frac{\pi}{6},\; n \in \mathbb{Z}$
3. C
   $n\pi + (-1)^n\frac{\pi}{4} - \frac{\pi}{3},\; n \in \mathbb{Z}$
4. D
   $n\pi + (-1)^n\frac{\pi}{4} + \frac{\pi}{3},\; n \in \mathbb{Z}$

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1. A
   4
2. B
   5
3. C
   1
4. D
   3

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1. A
   0.2
2. B
   0.1
3. C
   0.3
4. D
   0.4

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1. A
   $\frac{2}{3}$
2. B
   $-\frac{2\sqrt{2}}{3}$
3. C
   $\frac{2\sqrt{2}}{3}$
4. D
   $-\frac{2}{3}$

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1. A
   $x+4z-1=0$
2. B
   $x-4z+7=0$
3. C
   $x+4z-7=0$
4. D
   $x-4z+1=0$

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1. A
   12
2. B
   9
3. C
   15
4. D
   33

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1. A
   3
2. B
   0
3. C
   1
4. D
   2

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1. A
   0
2. B
   −1
3. C
   1
4. D
   2

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1. A
   $\frac{8}{15}$
2. B
   $\frac{8}{17}$
3. C
   $\frac{4}{9}$
4. D
   $\frac{7}{17}$

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1. A
   $a=2, b=-1$
2. B
   $a=2, b=-\frac{1}{2}$
3. C
   $a=-2, b=\frac{1}{2}$
4. D
   $a=2, b=\frac{1}{2}$

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1. A
   $P \subset Q$ and $Q - P \neq \phi$
2. B
   $Q \not\subset P$
3. C
   $P \not\subset Q$
4. D
   $P = Q$

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1. A
   1 units
2. B
   2 units
3. C
   3 units
4. D
   $\sqrt{2}$ units

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1. A
   $-\frac{1}{2}$
2. B
   $\frac{1}{2}$
3. C
   1
4. D
   $-1$

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1. A
   $\frac{\pi}{4}$
2. B
   $\frac{\pi}{8}$
3. C
   $\frac{\pi}{2}$
4. D
   $4\pi$

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1. A
   $\frac{15}{64}$
2. B
   $\frac{9}{32}$
3. C
   $\frac{7}{32}$
4. D
   $\frac{5}{64}$

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1. A
   2
2. B
   $2e$
3. C
   $e$
4. D
   1

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1. A
   $(0, 2)$
2. B
   $(2, \infty)$
3. C
   $(-2, 0)$
4. D
   $(-\infty, \infty)$

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1. A
   $\left[1, \frac{7}{3}\right)$
2. B
   $\left(1, \frac{7}{3}\right]$
3. C
   $\left(1, \frac{7}{3}\right)$
4. D
   $\left[1, \frac{7}{3}\right]$

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1. A
   There is a rational number $x \in S$ such that $x \leq 0$
2. B
   There is no rational number $x \in S$ such that $x \leq 0$
3. C
   Every rational number $x \in S$ satisfies $x \leq 0$
4. D
   $x \in S$ and $x \leq 0 \Rightarrow x$ is not a rational number

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