GATE Civil Engineering
+1 vote
  1. Some football players play cricket.
  2. All cricket players play hockey.

Among the options given below, the statement that logically follows from the two statements $1$ and $2$ above, is :

  1. No football player plays hockey
  2. Some football players play hockey
  3. All football players play hockey
  4. All hockey players play football
in Analytical Aptitude by (5.2k points)
recategorized by

1 Answer

+1 vote
Best answer

Given statements are:

  1. Some football players play cricket.  

  2. All cricket players play hockey.

  1. No football player plays hockey – It is not correct. No way we can combine diagrams 1 and 2 to get a diagram for this statement. 
  2. Some football players play hockey – It is correct from the above reasoning. In whichever way we combine the Venn diagrams of the given two statements we’ll get an intersection for Football and Hockey.
  3. All football players play hockey – It can be true but not always and the counterexample is shown in the below Venn diagram which can be obtained by combining the Venn diagrams for the given statements.

  4. All hockey players play football – It also can be correct but not always. The counterexample shown in the above Venn diagram for option C works here as well.

So, the correct answer is $(B).$

by (10.7k points)
edited by
Answer:
Welcome to GATE Civil Q&A, where you can ask questions and receive answers from other members of the community.
Top Users Sep 2021
    1,173 questions
    139 answers
    26 comments
    44,384 users