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  • ...end of the trip, the odometer showed <math>cba</math> miles. What is <math>a^2+b^2+c^2</math>? <math> \textbf {(A) } 26 \qquad \textbf {(B) } 27 \qquad \textbf {(C) } 36 \qquad \textbf {(D) } 37 \qquad \textbf {(E) } 41<
    3 KB (525 words) - 17:20, 30 January 2021
  • ...many positive integers <math>n</math> is <math>\frac{n}{30-n}</math> also a positive integer? <math> \textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 7\qquad\t
    2 KB (258 words) - 00:38, 15 November 2022
  • Let <math>ABCDE</math> be a pentagon inscribed in a circle such that <math>AB = CD = 3</math>, <math>BC = DE = 10</math>, and < <math>\textbf{(A) }129\qquad
    7 KB (1,037 words) - 08:09, 1 January 2023
  • The sides of a triangle are of lengths <math>13</math>, <math>14</math>, and <math>15</mat <math>\textbf{(A) }3:11\qquad\textbf{(B) }5:11\qquad\textbf{(C) }1:2\qquad\textbf{(D) }2:3\q
    6 KB (892 words) - 00:02, 12 July 2023
  • Jon and Steve ride their bicycles along a path that parallels two side-by-side train tracks running the east/west dir ...arly, the second train has to cover a distance equal to its own length, at a rate of <math>r_2 + \dfrac{1}{3}</math>. Since the times are equal and <mat
    5 KB (784 words) - 13:59, 30 November 2021
  • A chord which is the perpendicular bisector of a radius of length 12 in a circle, has length <math> \textbf{(A)}\ 3\sqrt3\qquad\textbf{(B)}\ 27\qquad\textbf{(C)}\ 6\sqrt3\qquad\textbf{(D)}\ 12\sqrt3\qquad\textbf{(E)}\ \
    18 KB (2,788 words) - 13:55, 20 February 2020
  • <math>\text{(A) } 2P\quad <math>\text{(A) } 40\%\quad
    16 KB (2,548 words) - 13:40, 19 February 2020
  • ...th>, where <math>N</math> is the smallest positive integer such that <math>S>1,000,000</math>. Then the sum of the digits of <math>N</math> is: <math>\text{(A) } 27\quad
    609 bytes (93 words) - 01:53, 16 August 2023
  • ...0,90,130</math> and <math>110</math> is inscribed in a circle and also has a circle inscribed in it. The point of tangency of the inscribed circle to th <math>\text{(A) } 12\quad
    2 KB (335 words) - 11:51, 5 October 2019
  • <math>\textbf{(A)}\ \pm\frac{1}{2}\qquad\textbf{(B)}\ \pm 1\qquad\textbf{(C)}\ \pm 2\qquad\t <math>\textbf{(A) } -16\qquad
    14 KB (2,099 words) - 01:15, 10 September 2021
  • MP("A",(-1.7,0),W);MP("B",(1.7,0),E);MP("M",(0,0),S);MP("C",(0,1),N); A parabolic arch has a height of <math>16</math> inches and a span of <math>40</math> inches. The height, in inches, of the arch at the p
    1 KB (211 words) - 19:41, 9 June 2018
  • ...he sum of squares of the distances from <math>P</math> to the endpoints of a given diameter is <math>3</math>. Then <math>n</math> is: <math>\text{(A) } 0\quad
    2 KB (280 words) - 19:57, 9 June 2018
  • ...<math>n</math> terms of two arithmetic series. If <math>S_n:T_n=(7n+1):(4n+27)</math> for all <math>n</math>, the ratio of the eleventh term of the first <math>\text{(A) } 4:3\quad
    3 KB (572 words) - 23:44, 3 April 2023
  • <math>\frac{a}{b},a \ne b,b \ne 0</math>, the value of the fraction is changed to <math>\frac{c <math>\text{(A) } \frac{1}{c-d}\quad
    16 KB (2,662 words) - 14:12, 20 February 2020
  • In triangle <math>ABC</math>, the median from vertex <math>A</math> is perpendicular to the median from vertex <math>B</math>. If the le <math>\text{(A) } \sqrt{17}\quad
    827 bytes (134 words) - 02:36, 19 December 2020
  • unitsize(27); pair A,B,C,D,E,F,X,Y,Z;
    7 KB (1,136 words) - 10:01, 23 December 2023
  • <math>\textbf{(A) }\sqrt{2}+\sqrt{3}\qquad A square and a circle have equal perimeters. The ratio of the area of the circle to the ar
    15 KB (2,366 words) - 07:52, 26 December 2023
  • ...have length <math>s</math>, is circumscribed around the balls. Then <math>s</math> equals <math>\text{(A)} \ 4\sqrt 2 \qquad
    582 bytes (82 words) - 19:12, 15 December 2018
  • <math>\text{(A)}\ \sqrt{20} \qquad Triangles <math>ABC</math> and <math>XYZ</math> are similar, with <math>A</math> corresponding to <math>X</math> and <math>B</math> to <math>Y</math>
    17 KB (2,535 words) - 13:45, 19 February 2020
  • <math>\text{(A)}\ 1 - x^5\qquad A triangular corner with side lengths <math>DB=EB=1</math> is cut from equila
    16 KB (2,291 words) - 13:45, 19 February 2020

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