Question

Among 60 applicants for a sales manager's post, 40 have B.Sc degrees, 18 have NCE, while 6 applicants have no certificate. Use a Venn diagram to illustrate the information. How many applicants have: a) both BSc and NCE b) BSc only c) NCE only D)NONE OF the above

Answer 1

a) Both BSc and NCE: 2 applicants

b) BSc only: 38 applicants

c) NCE only: 16 applicants

d) None of the above: 4 applicants

Step-by-step explanation:

In the given scenario, the Venn diagram represents three circles: one for B.Sc degree holders, one for NCE holders, and a third for those with no certificate.

The overlap of the B.Sc and NCE circles represents individuals with both qualifications. In this case, there are 2 applicants with both B.Sc and NCE.

Moving on to the B.Sc only category, we exclude those with NCE and those with no certificate. Therefore, the number of applicants with B.Sc only is 40 (total B.Sc applicants) - 2 (both B.Sc and NCE) - 6 (no certificate) = 38 applicants.

For the NCE only category, we exclude those with B.Sc and those with no certificate. Thus, the number of applicants with NCE only is 18 (total NCE applicants) - 2 (both B.Sc and NCE) - 6 (no certificate) = 16 applicants.

Lastly, the "None of the above" category includes those with no certificate, which amounts to 6 applicants. This calculation ensures that each applicant falls into one of the specified categories.