Because of the recent transformation of the market. Quore, Inc., must increase productivity, 10 percent over the course of the next two years, or it will certainly go bankrupt. In fact, however, Quore’s production structure is such that if a 10 percent productivity increase is possible, then a 20 percent increase is attainable.
If the statements above are true, which one of the following must on the basis of them also be true?
This a must be true question with all premises and no conclusion. The argument states that if Quore Inc does not increase productivity >>it will go bankrupt. Second: if a 10% is possible >> 20% increase is attainable.
Let's look at the answer options one by one.
(A) It is only Quore’s production structure that makes it possible for Quore to survive the transformation of the market: Nowhere in the argument is this stated. It does not mention about other production structures other than Quore's.
B) Quore will not go bankrupt if it achieves a productivity increase of 20 percent over the next two years.- This option mistakes a sufficient condition for a necessary condition. If a 10%>20% increase is not guaranteed it will go bankrupt. However, this does not mean that a 20% increase will necessarily mean no bankruptcy. X leads to Y can meant "Not Y>>Not X". However, it can't mean Not X leads to Not Y. X is "not achieving 10% here" and Y is "bankruptcy".
So, this means not achieveing 10% leads to bankruptcy. However, achieving 10% does not lead to no bankruptcy situation (notX>>notY not being equal )
(C) If the market had not been transformed, Quore would have required no productivity increase in order to avoid bankruptcy. - nothing substantiates this
(D) Because of the transformation of the market, Quore will achieve a productivity increase of 10 percent over the next two years. - not necessarily true, they may or may not achieve
(E) If a 20 percent productivity increase is unattainable for Quore, then it must go bankrupt. - Yes!. This is a reformed version of X>>Y. If it does attain the increase, it will go bankrupt. Since 10%>>20% (as given in the argument)., so if 20% is not there, it means 10% is also not there. Hence, 20% can be used in place 10% here. E is correct.