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• 01:42, 23 September 2014 (diff | hist) . . (+719)‎ . . N 1967 AHSME Problems/Problem 28 ‎ (Created page with "== Problem == Given the two hypotheses: <math>\text{I}</math> Some Mems are not Ens and <math>\text{II}</math> No Ens are Veens. If "some" means "at least one", we can conclude ...")
• 01:40, 23 September 2014 (diff | hist) . . (+587)‎ . . N 1967 AHSME Problems/Problem 27 ‎ (Created page with "== Problem == Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in <math>3</math> hours and the other in <math>4</...")
• 01:37, 23 September 2014 (diff | hist) . . (+789)‎ . . N 1967 AHSME Problems/Problem 26 ‎ (Created page with "== Problem == If one uses only the tabular information <math>10^3=1000</math>, <math>10^4=10,000</math>, <math>2^{10}=1024</math>, <math>2^{11}=2048</math>, <math>2^{12}=4096</ma...")
• 01:35, 23 September 2014 (diff | hist) . . (+617)‎ . . N 1967 AHSME Problems/Problem 25 ‎ (Created page with "== Problem == For every odd number <math>p>1</math> we have: <math>\textbf{(A)}\ (p-1)^{\frac{1}{2}(p-1)}-1 \; \text{is divisible by} \; p-2\qquad \textbf{(B)}\ (p-1)^{\frac{1}{...")
• 01:34, 23 September 2014 (diff | hist) . . (+409)‎ . . N 1967 AHSME Problems/Problem 24 ‎ (Created page with "== Problem == The number of solution-pairs in the positive integers of the equation <math>3x+5y=501</math> is: <math>\textbf{(A)}\ 33\qquad \textbf{(B)}\ 34\qquad \textbf{(C)}\ ...")
• 01:32, 23 September 2014 (diff | hist) . . (+438)‎ . . N 1967 AHSME Problems/Problem 23 ‎ (Created page with "== Problem == If <math>x</math> is real and positive and grows beyond all bounds, then <math>\log_3{(6x-5)}-\log_3{(2x+1)}</math> approaches: <math>\textbf{(A)}\ 0\qquad \textbf...")
• 01:30, 23 September 2014 (diff | hist) . . (+643)‎ . . N 1967 AHSME Problems/Problem 22 ‎ (Created page with "== Problem == For natural numbers, when <math>P</math> is divided by <math>D</math>, the quotient is <math>Q</math> and the remainder is <math>R</math>. When <math>Q</math> is d...")
• 01:28, 23 September 2014 (diff | hist) . . (+854)‎ . . N 1967 AHSME Problems/Problem 21 ‎ (Created page with "== Problem == In right triangle <math>ABC</math> the hypotenuse <math>\overline{AB}=5</math> and leg <math>\overline{AC}=3</math>. The bisector of angle <math>A</math> meets the...")
• 01:26, 23 September 2014 (diff | hist) . . (+705)‎ . . N 1967 AHSME Problems/Problem 20 ‎ (Created page with "== Problem == A circle is inscribed in a square of side <math>m</math>, then a square is inscribed in that circle, then a circle is inscribed in the latter square, and so on. I...")
• 01:24, 23 September 2014 (diff | hist) . . (+592)‎ . . N 1967 AHSME Problems/Problem 19 ‎ (Created page with "== Problem == The area of a rectangle remains unchanged when it is made <math>2 \frac{1}{2}</math> inches longer and <math>\frac{2}{3}</math> inch narrower, or when it is made <m...")
• 01:23, 23 September 2014 (diff | hist) . . (+397)‎ . . N 1967 AHSME Problems/Problem 18 ‎ (Created page with "== Problem == If <math>x^2-5x+6<0</math> and <math>P=x^2+5x+6</math> then <math>\textbf{(A)}\ P \; \text{can take any real value} \qquad \textbf{(B)}\ 20<P<30\\ \textbf{(C)}\ 0<...")
• 01:22, 23 September 2014 (diff | hist) . . (+553)‎ . . N 1967 AHSME Problems/Problem 16 ‎ (Created page with "== Problem == Let the product <math>(12)(15)(16)</math>, each factor written in base <math>b</math>, equals <math>3146</math> in base <math>b</math>. Let <math>s=12+15+16</math>...")
• 01:21, 23 September 2014 (diff | hist) . . (+533)‎ . . N 1967 AHSME Problems/Problem 17 ‎ (Created page with "== Problem == If <math>r_1</math> and <math>r_2</math> are the distinct real roots of <math>x^2+px+8=0</math>, then it must follow that: <math>\textbf{(A)}\ |r_1+r_2|>4\sqrt{2}\...")
• 01:19, 23 September 2014 (diff | hist) . . (+638)‎ . . N 1967 AHSME Problems/Problem 15 ‎ (Created page with "== Problem == The difference in the areas of two similar triangles is <math>18</math> square feet, and the ratio of the larger area to the smaller is the square of an integer. T...")
• 01:18, 23 September 2014 (diff | hist) . . (+385)‎ . . N 1967 AHSME Problems/Problem 14 ‎ (Created page with "== Problem == The number of distinct points common to the curves <math>x^2+4y^2=1</math> and <math>4x^2+y^2=4</math> is: <math>\text{(A) } 0 \quad \text{(B) } 1 \quad \text{(C) ...")
• 01:16, 23 September 2014 (diff | hist) . . (+654)‎ . . N 1967 AHSME Problems/Problem 13 ‎ (Created page with "== Problem == A triangle <math>ABC</math> is to be constructed given a side <math>a</math> (opposite angle <math>A</math>). angle <math>B</math>, and <math>h_c</math>, the altitu...")
• 01:15, 23 September 2014 (diff | hist) . . (+508)‎ . . N 1967 AHSME Problems/Problem 12 ‎ (Created page with "== Problem == If the (convex) area bounded by the x-axis and the lines <math>y=mx+4</math>, <math>x=1</math>, and <math>x=4</math> is <math>7</math>, then <math>m</math> equals: ...")
• 01:13, 23 September 2014 (diff | hist) . . (+472)‎ . . N 1967 AHSME Problems/Problem 11 ‎ (Created page with "== Problem == If the perimeter of rectangle <math>ABCD</math> is <math>20</math> inches, the least value of diagonal <math>\overline{AC}</math>, in inches, is: <math>\textbf{(A)...")
• 01:12, 23 September 2014 (diff | hist) . . (+514)‎ . . N 1967 AHSME Problems/Problem 10 ‎ (Created page with "== Problem == If <math>\frac{a}{10^x-1}+\frac{b}{10^x+2}=\frac{2 \cdot 10^x+3}{(10^x-1)(10^x+2)}</math> is an identity for positive rational values of <math>x</math>, then the va...")
• 01:10, 23 September 2014 (diff | hist) . . (+789)‎ . . N 1967 AHSME Problems/Problem 9 ‎ (Created page with "== Problem == Let <math>K</math>, in square units, be the area of a trapezoid such that the shorter base, the altitude, and the longer base, in that order, are in arithmetic prog...")

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