Q13. If A and B are two sets containing 12 and 20 elements respectively, what can be the minimum number of elements in A U B? find also, the maximum number of elements in AU
B.
Q14 In a survey of 100 students, the number of students studying the various languages
were found to be: English only 18, English but not Hindi 23, English and Sanskrit 8, English 26,
Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find how many students were studying
Hindi.
Q15. In an examination 80% students passed in maths, 72% passed in science and 13% failed
in both the subjects. If 312 students passed in both the subjects, find the total number of
students who appeared in the examination.
Q16. A college awarded 58 medals in football, 15 in basketball and 20 in cricket. If these
medals went to a total of 58 men and only three men got medals in all the three sports, how
many received medals in exactly two of the three sports.
Q17. Out of 100 students, 15 passed in English, 12 passed in maths, 8 in science, 6 in English
and maths, 7 in maths and science, 4 in English and science and 4 in all three. Find how many
passed in
1) Maths and science but not English.
2) In more than one subject.
Q18. For sets A, B and C using properties of sets, prove that
1) A-BUC)=(A-B)(A-C)
2) A-(Bn C)= (A-B)U (A-C)
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