Let n be a positive integer such that \tfrac{1}{2}\plus{}\tfrac{1}{3}\plus{}\tfrac{1}{7}\plus{}\tfrac{1}{n} is an integer. Which of the following statements is not true?<spanclass=′latex−bold′>(A)</span>2 divides n<spanclass=′latex−bold′>(B)</span>3 divides n<spanclass=′latex−bold′>(C)</span>6 divides n<spanclass=′latex−bold′>(D)</span>7 divides n<spanclass=′latex−bold′>(E)</span>n>84