Answer:
the smallest number of clients that could be interviewed each day is 2
Explanation:
From the information given, we are being told that:
Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs.
On the first day, the agency plans to interview clients in groups of 2.
This implies that , a single group contains 2 clients
On the second day, the agency will interview clients in groups of 4.
This implies that, a single group contains 4 clients
If the employment agency will interview the same number of clients on each day,
the objective is to determine the smallest number of clients that could be interviewed each day.
We we are meant to find out here is the Lowest Common Multiple i.e the L.C.M of the group of clients.
So,
the factors of 2 = 1 , 2
the factors of 4 = 1, 2 and 4
The lowest common multiple from the above factors is 2
Therefore, the smallest number of clients that could be interviewed each day is 2