The smallest positive integer greater than 1 that leaves a remainder of 1 when divided by 4, 5, and 6 lies between which of the following pairs of numbers?
<spanclass=′latex−bold′>(A)</span>2 and 19<spanclass=′latex−bold′>(B)</span>20 and 39<spanclass=′latex−bold′>(C)</span>40 and 59<spanclass=′latex−bold′>(D)</span>60 and 79<spanclass=′latex−bold′>(E)</span>80 and 124