Of 100 clock radios sold recently in a department store, 60 had FM circuitry, and 80 had AM circuitry. How many could receive FM transmission only?
A) 50
B) 10
C) 20
D) 60
E) 40

Question

Of 100 clock radios sold recently in a department store, 60 had FM circuitry, and 80 had AM circuitry. How many could receive FM transmission only? ​
A) 50
B) 10
C) 20
D) 60
E) 40

Quizplus · Accepted Answer

Given that 60 radios had FM and 80 had AM, and assuming all 100 radios had at least one of these features, the maximum overlap (radios that have both AM and FM) would be the minimum of the two numbers given, which is 60. This means at least 20 of the FM radios could only receive FM (100 total - 80 AM = 20 could be FM only). However, to directly calculate the FM only radios: if all 60 FM radios also had AM, that leaves 20 AM radios without FM, implying the rest of the radios (100 - 80 = 20) could receive FM only, matching the conditions given.

Of 100 Clock Radios Sold Recently in a Department Store