Logical Reasoning - Statement and Conclusion - Discussion
Discussion Forum : Statement and Conclusion - Section 2 (Q.No. 10)
Directions to Solve
In each of the following questions, a statement/group of statements is given followed by some conclusions. Without resolving anything yourself choose the conclusion which logically follows from the given statements).
10.
In a class, three-fourth of the boys play football, one-half play cricket, one-fourth of those who play cricket do not play football.
Discussion:
11 comments Page 2 of 2.
Supriyo said:
2 days ago
3/4 Plays football,
1/2 plays cricket,
(1/4)*(1/2) = 1/8 plays only cricket.
Now, [Plays Both] = [Plays Cricket] - [Plays Only Cricket]
=> [Plays Both] = 1/2 - 1/8 = 3/8.
Now, [Plays Only Football] = [Plays Football] - [Plays Both]
=> [Plays Only Football] = 3/4 - 3/8 = 3/8.
Now, [Plays Sports] = [Plays Only Cricket] + [Plays Only Football] + [Plays Both]
=> [Plays Sports] = 1/8 + 3/8 + 3/8 = 7/8.
Now, [Does not play Sports] = [Total] - [Plays Sports]
=> [Does not plays Sports] = 1 - 7/8 = 1/8.
Now match each of the options to determine which one will be correct.
1/2 plays cricket,
(1/4)*(1/2) = 1/8 plays only cricket.
Now, [Plays Both] = [Plays Cricket] - [Plays Only Cricket]
=> [Plays Both] = 1/2 - 1/8 = 3/8.
Now, [Plays Only Football] = [Plays Football] - [Plays Both]
=> [Plays Only Football] = 3/4 - 3/8 = 3/8.
Now, [Plays Sports] = [Plays Only Cricket] + [Plays Only Football] + [Plays Both]
=> [Plays Sports] = 1/8 + 3/8 + 3/8 = 7/8.
Now, [Does not play Sports] = [Total] - [Plays Sports]
=> [Does not plays Sports] = 1 - 7/8 = 1/8.
Now match each of the options to determine which one will be correct.
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