Lester wrote:
To qualify for an interview for a computer-programming job, each candidate must be able to program in at least one of three specified computer languages. Of the 15 candidates who qualify for an interview, 3 can program in all three of the specified languages and 4 can program in only one of the specified languages
Quantity A |
Quantity B |
The number of candidates who qualify for an interview and who can program in at least two of the specified languages |
9 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Every candidate can program in at least one language, we can write:
(number of candidates who can program in exactly 1 language) + (number of candidates who can program in exactly 2 languages) + (number of candidates who can program in all languages) = 15
Substitute to get:
4 + (number of candidates who can program in exactly 2 languages) + 3 = 15
So, number of candidates who can program in exactly 2 languages = 8
The number of candidates who can program in
at least two of the specified languages = (number of candidates who can program in exactly 2 languages) + (number of candidates who can program in all languages)
= 8 + 3
= 11
Answer: A