sample_id int64 0 217 | qnum int64 1 219 | question_text stringlengths 52 318 | question_image imagewidth (px) 726 1.86k ⌀ | option_1_text stringlengths 0 86 | option_1_image imagewidth (px) 732 1.43k ⌀ | option_2_text stringlengths 0 87 | option_2_image imagewidth (px) 843 1.43k ⌀ | option_3_text stringlengths 0 74 | option_3_image imagewidth (px) 843 1.43k ⌀ | option_4_text stringlengths 0 63 | option_4_image imagewidth (px) 530 1.43k ⌀ | answer stringclasses 4
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200 | 202 | For the function $f(x)=|x+1|-|x-2|$ on which interval is it strictly increasing? | Not supported with pagination yet | $(-\infty, 2)$ | Not supported with pagination yet | $(-1, +\infty)$ | Not supported with pagination yet | (-1, 2) | Not supported with pagination yet | $(2, +\infty)$ | Not supported with pagination yet | 3 | Konkour_EN | en | konkour |
201 | 203 | For the function $f(x)=x|x|-2x$, what is the distance between the points of its relative maximum and relative minimum? | Not supported with pagination yet | $2\sqrt{2}$ | Not supported with pagination yet | 3 | Not supported with pagination yet | $3\sqrt{2}$ | Not supported with pagination yet | 4 | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
202 | 204 | What is the solution set of the inequality $-1<\frac{2x-1}{x+1}<3$? | Not supported with pagination yet | $(0, +\infty)$ | Not supported with pagination yet | $(4, +\infty)$ | Not supported with pagination yet | $\mathbb{R}-[-4, 0]$ | Not supported with pagination yet | $\mathbb{R}-[-4, -1]$ | Not supported with pagination yet | 3 | Konkour_EN | en | konkour |
203 | 205 | The graph of the function $f(x)=x^2-2x; (x>1)$ is given. Its reflection with respect to the $x$-axis is then shifted 16 units upward along the $y$-axis. What is the distance from the origin to the intersection point of the resulting curve with the graph of $f$? | Not supported with pagination yet | $4\sqrt{5}$ | Not supported with pagination yet | $6\sqrt{2}$ | Not supported with pagination yet | $5\sqrt{2}$ | Not supported with pagination yet | $2\sqrt{5}$ | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
204 | 206 | On the interval $(a,b)$, the graph of $y=(x-1)^2$ lies above the graph of $y=4x^4$. What is the greatest possible value of $b-a$? | Not supported with pagination yet | 1 | Not supported with pagination yet | $\frac{3}{2}$ | Not supported with pagination yet | 2 | Not supported with pagination yet | $\frac{5}{2}$ | Not supported with pagination yet | 2 | Konkour_EN | en | konkour |
205 | 207 | If $f(x)=\lfloor x\rfloor-x$ and $g(x)=\frac{1-2x}{x+1}$, what is the range of the function $g\circ f$? (Here \(\lfloor\ \rfloor\) denotes the greatest-integer (floor) function.) | Not supported with pagination yet | [-1, 1) | Not supported with pagination yet | (-1, 1] | Not supported with pagination yet | $[1, +\infty)$ | Not supported with pagination yet | $(-\infty, 1]$ | Not supported with pagination yet | 3 | Konkour_EN | en | konkour |
206 | 208 | Let $f(x)=x-\frac{1}{{2x}}$, defined on $(0,+\infty)$. At what x-coordinate does the graph of $f^{-1}$ intersect the bisector of the second quadrant? | Not supported with pagination yet | $-\frac{3}{2}$ | Not supported with pagination yet | $-\frac{3}{4}$ | Not supported with pagination yet | -1 | Not supported with pagination yet | $-\frac{1}{2}$ | Not supported with pagination yet | 4 | Konkour_EN | en | konkour |
207 | 209 | How many solutions does the trigonometric equation $4\sin(3x)\cos(3x)=1$ have in the interval $[0,\frac{\pi}{2}]$? | Not supported with pagination yet | 2 | Not supported with pagination yet | 3 | Not supported with pagination yet | 4 | Not supported with pagination yet | 5 | Not supported with pagination yet | 3 | Konkour_EN | en | konkour |
208 | 210 | What is the value of the relative maximum of the function $f(x)=\frac{x^2+2x-3}{x^2+1}$? | Not supported with pagination yet | $-1+\sqrt{5}$ | Not supported with pagination yet | $1+\sqrt{5}$ | Not supported with pagination yet | $-1+\sqrt{3}$ | Not supported with pagination yet | $1+\sqrt{3}$ | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
209 | 211 | What is the shortest distance from the point $A(5,0)$ to the curve $y=\sqrt{2x+7}$? | Not supported with pagination yet | 4 | Not supported with pagination yet | 4.5 | Not supported with pagination yet | 5 | Not supported with pagination yet | $3\sqrt{2}$ | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
210 | 212 | How many solutions does the trigonometric equation $5\sin^2(x)+2\cos(3x)=-2$ have on the interval $[-\pi,\pi]$? | Not supported with pagination yet | 1 | Not supported with pagination yet | 2 | Not supported with pagination yet | 5 | Not supported with pagination yet | 7 | Not supported with pagination yet | 2 | Konkour_EN | en | konkour |
211 | 213 | What is the domain of the function $f(x)=\log_{4}(|x^2-2|-x)$? | Not supported with pagination yet | $(-\infty,-\sqrt{2})\cup(2,+\infty)$ | Not supported with pagination yet | $(-\infty,1)\cup(\sqrt{2},+\infty)$ | Not supported with pagination yet | $[-1,1)\cup(\sqrt{2},+\infty)$ | Not supported with pagination yet | $(-\infty,1)\cup(2,+\infty)$ | Not supported with pagination yet | 4 | Konkour_EN | en | konkour |
212 | 214 | Suppose $M$ is the point of intersection of the curve $y=\sqrt{x+3}-1$ with its inverse function. What is the distance from point $M$ to the origin? | Not supported with pagination yet | $\frac{\sqrt{2}}{2}$ | Not supported with pagination yet | $\sqrt{2}$ | Not supported with pagination yet | 3 | Not supported with pagination yet | $2\sqrt{2}$ | Not supported with pagination yet | 2 | Konkour_EN | en | konkour |
213 | 215 | What is the absolute minimum of the function $f(x)=x|3-x^2|$ on the interval $\left[-1.5,\sqrt{3}\right]$? | Not supported with pagination yet | $-\frac{9}{4}$ | Not supported with pagination yet | -2 | Not supported with pagination yet | $-\sqrt{3}$ | Not supported with pagination yet | $-\frac{9}{8}$ | Not supported with pagination yet | 2 | Konkour_EN | en | konkour |
214 | 216 | What is the shortest distance from the point $M(3,0)$ to the parabola $y^2=4x$? | Not supported with pagination yet | $\sqrt{2}$ | Not supported with pagination yet | $\frac{3}{2}$ | Not supported with pagination yet | $2\sqrt{2}$ | Not supported with pagination yet | 3 | Not supported with pagination yet | 3 | Konkour_EN | en | konkour |
215 | 217 | How many positive roots does the equation $\frac{1}{\sqrt{2-x}+2}-\frac{1}{2-\sqrt{2-x}}=\frac{2-x}{5\sqrt{2-x}}$ have? | Not supported with pagination yet | 0 | Not supported with pagination yet | 1 | Not supported with pagination yet | 2 | Not supported with pagination yet | 3 | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
216 | 218 | Which point does the inverse of the function $y=-3x^3+2x-11$ pass through? | Not supported with pagination yet | (9, -2) | Not supported with pagination yet | (2, -31) | Not supported with pagination yet | (-1, 10) | Not supported with pagination yet | (-12, -1) | Not supported with pagination yet | 1 | Konkour_EN | en | konkour |
217 | 219 | How many solutions does the equation $\sin\left(x+\frac{\pi}{6}\right)\cos\left(x-\frac{\pi}{3}\right)=1$ have on the interval $[0,2\pi]$? | Not supported with pagination yet | 1 | Not supported with pagination yet | 2 | Not supported with pagination yet | 3 | Not supported with pagination yet | 4 | Not supported with pagination yet | 2 | Konkour_EN | en | konkour |
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