A check is written for x dollars and y cents, x and y both two-digit numbers. In error it is cashed for y dollars and x cents, the incorrect amount exceeding the correct amount by $17.82. Then:
<spanclass=′latex−bold′>(A)</span>x cannot exceed 70<spanclass=′latex−bold′>(B)</span>y can equal 2x<spanclass=′latex−bold′>(C)</span>the amount of the check cannot be a multiple of 5<spanclass=′latex−bold′>(D)</span>the incorrect amount can equal twice the correct amount<spanclass=′latex−bold′>(E)</span>the sum of the digits of the correct amount is divisible by 9