Kindly help solve this highly technical venn diagram question?

Posted on 2016-05-11 18:05:00 in Math by KOLA

In an insurance company, there are three sets of managers who are speculative, cautious and realistic. 8percent of the managers have all the three attributes while 22percent of the managers are cautious only. 16percent of the managers are neither realistic nor cautious nor speculative. 3percent of the managers are speculative and cautious but not realistic. If 13percent are speculative only. determine: 

1. The number of managers who are speculative and realistic but not cautious. 
2. The number of managers who have exactly 2 atrributes 
3. The number of managers who have at least 2 attributes 
4. The number of managers who have at most 2 attributes 
5. The number of managers who are speculative if and only if they are cautious.

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