PE 1 - Venn Diagram | LR - Venn Diagram
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Answer the next 4 questions based on the information given below.
In a school, some students out of 400 are trained for 3 sports i.e., Cricket, Football and Hockey. Students may opt to receive training for more than one of these 3 sports.
- The number students training for Cricket is 40 less than those who are not training for Cricket.
- Number of students who train in more than one of these sports is 180.
- Number of students who are not training for any of the sports is twice the number of students who are training for all three sports.
- Number of students who are training for Football and exactly one other sport is 120.
- Number of students are training for only Football is twice that of the number of students training for only Hockey.
- Number of students who train for Cricket but not for Football is 70.
- Number of students training for both Football and Hockey is 90.
How many students do not train for any of the 3 sports?
- (a)
80
- (b)
40
- (c)
60
- (d)
Cannot be determined
Solution
Discuss
ReportHow many students train for only Football?
- (a)
90
- (b)
50
- (c)
60
- (d)
30
The percentage point difference between the number of students who train for exactly one sport and those who train for exactly three sports is:
- (a)
20
- (b)
15
- (c)
25
- (d)
Cannot be determined
How many students train for both Cricket and Hockey but not in Football?
- (a)
20
- (b)
40
- (c)
70
- (d)
30
Answer the next 2 questions based on the information given below.
Of the 580 members of a sports club, 224 play Cricket, 195 play Football, 196 play Hockey. Each member plays at least one game out of these 3 games. The members who play Football and Hockey both must play Cricket also. For every four members who play at least two games, there are three members who play all the three games.
Find the number of members who play all the three games.
Find the number of members who play only Cricket.
Answer the next 4 questions based on the information given below.
A survey was conducted among 500 people regarding their likings for Candy Crush, Chess, Temple Run. 280 people did not like Candy Crush, 260 people did not like Chess while 310 people did not like Temple Run. 20 people like all the three games while 80 people did not like any of the three games. 100 people like both Candy Crush and Chess. 90 people like both Chess and Temple Run while 60 people like both Candy Crush and Temple Run.
Find the number of people who like Candy Crush but do not like Chess.
Find the number of people who like either Chess or Temple Run.
Find the number of people who like at most one game.