1). Motions A and B were carried. C was defeated.

  2). 7 candidates passed both exams.

  3). 2 people spoke all three languages.


  Notes

1). Only the first and third journalists were consistent,
       so the second was the one who reported incorrectly.

2). The numbers may be inserted in the Venn diagram by trial and error.

   3). The number who spoke all three languages
         may be found by trial and error:
            If 2 speak all three languages, then
               5 must speak English and French only,
               4 must speak English and German only,
           and 3 must speak French and German only.
        Also, 16 speak only their own language.
      Total = 30 as required.

  You have a supply of circular coins each of diamater 2 cm.
  What is the diameter of the smallest circle within which you  
  can place, without overlapping -

1. 3 of the coins (as shown)? 2. 5 of the coins? 3. 7 of the coins?