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A school for boys has 242 students in Form 4. Information about the students' participation in sports is as follows: 132 boys play Rugby

A school for boys has 242 students in Form 4. Information about the students' participation in sports is as follows: 


• 132 boys play Rugby 


• 68 boys play Basketball 


• 105 boys play Cricket 


• 25 boys play all three sports 


• 33 boys play Rugby and Basketball 


• 50 boys play Cricket and Basketball 


• 30 boys do not play any of these sports Let the number of students who play Rugby and Cricket be 'x'.


Required: 


i. Draw a Venn diagram to represent the above information. (5 marks) 


ii. Determine the value of x (3 marks) 


iii. How many boys do not play Rugby or Cricket? (3 marks) 


iv. How many boys play at most two of the sports?

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