In a group of 200 people, number of people having at least primary education: number of people having at least middle school education : number of people having at least high school education :: 7 : 3 : . 90 of these play football and 60 play hockey. 5 people in category III (defined as people having high school education) and one fourth each in category I and II (defined as people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above category the number of people playing only hockey equal the number of people playing only football. 2 people each in categories I and II and 1 persons in category III play both the games. 2 people playing both games are uneducated (category IV). 5 people in category III play only hockey.
Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under the four categories described above.
(1) How many people have middle school education?
(2). How many high school educated people do not play football?
(3) How many people having middle school, but not high school, education play only football?
(4) How many people who completed primary school could not finish middle school?
(5) How many uneducated people play neither hockey nor football?
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