An analysis of past recruiting records indicated that only 1 in 5 recruits are selected for sales positions and that of those selected 60% decline an offer. If the firms want to hire 5 new people, at least how many people should they recruit?
A) 8 people
B) 13 people
C) 42 people
D) 63 people
E) 96 people

Question

Quizplus · Accepted Answer

If the firms want to hire 5 new people, at least they need to have a pool of candidates that are enough to compensate for those who decline the offer.

According to the analysis, only 1 in 5 recruits is selected, so for every 5 candidates, only 1 will be hired. Thus, to hire 5 people, the firm needs to select at least 5*5=25 candidates.

However, of those selected, 60% decline the offer, meaning only 40% of the selected candidates will actually accept the job. To find out how many recruits the firm needs to have in total, we divide 25 by 0.4:

25 / 0.4 = 62.5 (rounded up to the nearest whole number, which is 63)

Therefore, the firm needs to recruit at least 63 people to have a pool of candidates large enough to select 5 new hires.

An Analysis of Past Recruiting Records Indicated That Only 1