Form a valid conclusion, using all the statements for each argument. Give reasons.
If we win third prize, we will go to the Europe.
If we are ingenious, we will win third prize.
We are ingenious.
A) We won't win third prize. (direct )
B) We won't go to Europe. (indirect)
C) We will go to Europe. (transitive and direct )
D) We will go to Europe. (indirect )
E) none of these

Question

Form a valid conclusion, using all the statements for each argument. Give reasons. ​
If we win third prize, we will go to the Europe.
If we are ingenious, we will win third prize.
We are ingenious.
A) We won't win third prize. (direct )
B) We won't go to Europe. (indirect)
C) We will go to Europe. (transitive and direct )
D) We will go to Europe. (indirect )
E) none of these

Quizplus · Accepted Answer

From the first statement, winning third prize leads to going to Europe. 
From the second statement, being ingenious leads to winning third prize. 
From the third statement, we know that we are ingenious. 
Therefore, using transitive and direct logic, we can conclude that we will win third prize and therefore go to Europe.

Form a Valid Conclusion, Using All the Statements for Each