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목록AMC12 (16)
수악중독
A bakery owner turns on his doughnut machine at 8:30 ㏂. At 11:10 ㏂ the machine has completed one third of the day's job. At what time will the doughnut machine complete the job? (A) 1:50 ㏘ (B) 3:00 ㏘ (C) 3:30 ㏘ (D) 4:30 ㏘ (E) 5:50 ㏘ 정답 (D)
What is the reciprocal of \(\dfrac{1}{2} + \dfrac{2}{3}\)? (A) \(\dfrac{6}{7}\) (B) \(\dfrac{7}{6}\) (C) \(\dfrac{5}{3}\) (D) \(3\) (E) \(\dfrac{7}{2}\) 정답 (A)
Which of the following is equal to the product \[\dfrac{8}{4} \cdot \dfrac{12}{8} \cdot \dfrac{16}{12} \cdot \cdots \cdot \dfrac{4n+4}{4n} \cdot \cdots \cdot \dfrac{2008}{2004} ?\] (A) \(251\) (B) \(502\) (C) \(1004\) (D) \(2008\) (E) \(4016\) 정답 (B)
Suppose that \[\dfrac{2x}{3}-\dfrac{x}{6}\] is an integer. Which of the following statements must be true about \(x\)? (A) It is negative.(B) It is even, but not necessarily a multiple of \(3\).(C) It is a multiple of \(3\), but not necessarily even.(D) It is a multiple of \(6\), but not necessarily a multiple of \(12\).(E) It is a multiple of \(12\). 정답 (B)
Heather compares the price of a new computer at two different stores. Store A offers \(15%\) off the sticker price followed by a \($90\) rebate, and store B offers \(25%\) off the same sticker price with no rebate. Heather saves \($15\) by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars? (A) \(650\) (B) \(900\) (C) \(1000\) (D) \(1050\) (E..
While Steve and LeRoy are fishing \(1\) mile from shore, their boat springs a leak, and water comes in at a constant rate of \(10\) gallons per minute. The boat will sink if ti takes in more thatn \(30\) gallons of water, Steve starts rowing toward the shore at a constant rate \(4\) miles per hour while LeRoy bails water out of the boat. What is the slowest rate, in gallons per minute, at which ..
What is the volume of a cube whose surface area is twice that of a cube with volume \(1\)? (A) \(\sqrt{2}\) (B) \(2\) (C) \(2\sqrt{2}\) (D) \(4\) (E) \(8\) 정답 (C)
Older television screens have an aspect ratio of \(4:3\). That is, the ratio of the width to the height is \(4:3\). The aspect ratio of many movies is not \(4:3\), so they are sometimes shown on a television screen by "letterboxing" - darkening strips of equal height at the top and bottom of the screen, as shown. Suppose a movie has an aspect ratio of \(2:1\) and is shown on an older television ..
Doug can paint a room in \(5\) hours. Dave can paint the same room in \(7\) hours. Doug and Dave paint the room together and take a one-hour break for lunch. Let \( t\) be the total time, in hours, required for them to complete the job working together, including lunch. Which of the following equations is satisfied by \(t\)? (A) \( \left ( \dfrac{1}{5} + \dfrac{1}{7} \right ) (t+1) =1\)(B) \( \l..
Three cubes are each formed from the pattern shown. They are then stacked on a table one on top of another so that the \(13\) visible numbers have the greatest possible sum. What is that sum?(A) \(154\) (B) \(159\) (C) \(164\) (D) \(167\) (E) \(189\) 정답 (C)