In Company, no employee is both a technician and an accountant. Also, in Company A, 2/5 are techs and 5/16 are accountants. What fraction of the total number*

Question

*are neither technicians nor accountants.

 

A. 23/80

B. 33/80

C. 3/7

D. 47/80

E. 57/80

Answer 1

23/80

 

 

1 - 2/5 - 5/16 = 5/5 - 2/5 - 5/16

                 

                     = 3/5 - 5/16

 

                     =   48/80 - 25/80

 

                      = 23/80

 

 

Now let's check it like this:

 

Suppose there are 100 employees in the company.

 

2/5 of 100 = 40 are technicians.

5/16*100 = 31.25 of them are accountants.

This total is 71.25 thus far

 

100 - 71.25 = 28.75 <-- are neither accountants nor techs.

 

Sure enough,

23/80*100 = 2300/80 = 230/8 = 28.75