•  LBS, INSEAD, Chicago GSB, Duke, Stern, IESE, Kellogg, Oxford, RSM и другие ведущие бизнес-школы мира
  •  Утром 9 октября в Москве и вечером 10 октября в СПб на выставке "ОБУЧЕНИЕ ДЛЯ ТОП-МЕНЕДЖЕРОВ И EXECUTIVE MBA"
  •  Успейте зарегистрироваться! »»
  • Компания Begin Group
    2EDU - образование для взрослых людей
    EXAMEN - высшее образование
    TOPSCHOOLS - школьное образование
    FINPROFY - личные финансы
    Выставка ''Экономическое и бизнес-образование'' Выставка "Обучение для топ-менеджеров и Executive MBA" Презентации и мастер-классы бизнес-школ
    "Путеводитель по МВА" Деловые мероприятия Карьера-СИТИ




    Опрос

    GMAT/Problem Solving - Polygon Puzzle


    Polygon Puzzle
    The measures of the interior angles in a polygon are consecutive integers. The smallest angle measures 136 degrees. How many sides does this polygon have?

    A) 8
    B) 9
    C) 10
    D) 11
    E) 13



    ОТВЕТЫ И КОММЕНТАРИИ
    Решение
    We are told that the smallest angle measures 136 degrees--this is the first term in the consecutive set. If the polygon has S sides, then the largest angle--the last term in the consecutive set--will be (S - 1) more than 136 degrees.

    The sum of consecutive integers = .

    Given that there are S terms in the set, we can plug in for the first and last term as follows:

    = sum of the angles in the polygon.

    We also know that the sum of the angles in a polygon = where S represents the number of sides.

    Therefore: . We can solve
    for S by cross-multiplying and simplifying as follows:



    A look at the answer choices tells you to try (S - 8), (S - 9), or (S - 10) in factoring.

    As it turns out , which means S can be 9 or 80. However S cannot be 80 because this creates a polygon with angles greater than 180.

    Therefore S equals 9; there are 9 sides in the polygon.

    The correct answer is B.

    О проекте Карта сайта Контактная информация English version
        Все форумы



    Календарь событий



    Вопрос из экзамена
    A rectangular plot of land is represented on a map. What are the actual
    dimensions of the plot of land?
    (1) The length of the rectangular figure on the map representing the actual
    plot of land is twice as long as the width.
    (2) The map is drawn so that each ^ inch on the map represents an actual
    distance of 10 feet.


    A)if statement I alone is sufficient to answer the question, but statement 2
    alone is not sufficient
    B)if statement 2 alone is sufficient to answer the question, but statement I
    alone is not sufficient
    C)if both statements together are needed to answer the question, but neither
    statement alone Is sufficient
    D)if either statement by itself is sufficient to answer the question
    E)if not enough facts are given to answer the question
        Ответ
              Вернуться на главную   О проекте   Карта сайта   Добавить в избранное   Контакты   English
     Вверх 
      © 2005 Begin Group. Все права защищены и охраняются законом.
    Телефон: +7 (495) 933-1098
    E-mail: webmaster@begin.ru
    Rambler's Top100 Rambler's Top100