This statement is somewhat ambiguous. Presidents do try to nominate justices who will rule in future cases in ways that the president would want. Presidents want to select a justice who generally agrees with them so that that justice will rule the “right” way once on the Court. This would imply that the statement is true.
However, presidents do not really have a good idea of how potential justices will rule in future cases. First of all, presidents do not know what cases will come before the Court. Second, presidents cannot predict how justices will vote once on the Court, particularly because the justices can stay on the Court a very long time and their thinking may change. A famous example of this is John Paul Stevens, who was appointed by a Republican (Gerald Ford) but who later came to be seen as a liberal on the Court. Harry Blackmun was appointed by another Republican (Richard Nixon) but also became a liberal, writing the Court’s opinion in Roe v. Wade. So, presidents clearly cannot know (or even have a really good idea) how a person will rule in future cases. This means that “False” must be the correct answer.