2009 AMC 10A Problem 2

Four coins are picked out of a piggy bank that contains a collection of pennies, nickels, dimes and quarters. Which of the following could *not* be the total value of the four coins, in cents?

\mathrm{(A)}\ 15 \qquad \mathrm{(B)}\ 25 \qquad \mathrm{(C)}\ 35 \qquad \mathrm{(D)}\ 45 \qquad \mathrm{(E)}\ 55

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.