Form 1
Consider the statements:
<spanclass=′latex−bold′>(1)</span>p∧∼q∧r<spanclass=′latex−bold′>(2)</span>∼p∧∼q∧r<spanclass=′latex−bold′>(3)</span>p∧∼q∧∼r<spanclass=′latex−bold′>(4)</span>∼p∧q∧r,where p,q, and r are propositions. How many of these imply the truth of (p→q)→r?<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>3<spanclass=′latex−bold′>(E)</span>4Form 2
Consider the statements (1)p and r are true and q is false (2)r is true and p and q are false (3)p is true and q and r are false (4)q and r are true and p is false. How many of these imply the truth of the statement
"r is implied by the statement that p implies q"?<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>3<spanclass=′latex−bold′>(E)</span>4