Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons. (NOTE: You have to take the given data to be true even if it seems to be at variance from commonly known facts.) How many such Teachers are there who are also Dentists but not Surgeons?
29
The figure is a three-circle Venn diagram for Teachers, Dentists and Surgeons, with a number written in each region showing how many persons fall in that region.
“Teachers who are also Dentists but not Surgeons” is the region lying inside both the Teachers circle and the Dentists circle, while lying outside the Surgeons circle — that is, the overlap of Teachers and Dentists only, excluding the part shared with Surgeons.
To answer, read the single number placed in exactly that Teachers∩Dentists region that is outside the Surgeons circle; do not add the central region where all three overlap.
The specific count for that region is read directly from the diagram, which is not reproduced here.
As marked by the answer key, the number of Teachers who are also Dentists but not Surgeons is 29.
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