đź‘‹ Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!
GMAT Quant — Applied Mathematics (Word Problems)
Question
To get a job at Company X, an applicant must be recommended by three interviewers. Out of 30 applicants, 15 were recommended by the first interviewer, 17 by the second interviewer, and 20 by the third interviewer. What is the least number of applicants who would have to have been recommended by all three interviewers?
Answer Choices
- A.0
- B.2
- C.3
- D.5
- E.10
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first name a variable for the number of applicants "recommended by all three interviewers". | Theory & Tactics Method Card TRANS1-A Click to view full details | |
We then calculate the total number of recommendations from the three interviewers. | Theory & Tactics Method Card CALC1-A Click to view full details | |
We consider a scenario where each of the 30 applicants receives at most two recommendations. | Theory & Tactics Method Card CALC1-A Click to view full details | |
Since 52 is less than 60, we can have no one recommended by all three interviewers, so the smallest possible value of x is 0. |
Scroll horizontally to view all columns
Final Answer
A
GMAT Quant — Applied Mathematics (Word Problems)
Question
To get a job at Company X, an applicant must be recommended by three interviewers. Out of 30 applicants, 15 were recommended by the first interviewer, 17 by the second interviewer, and 20 by the third interviewer. What is the least number of applicants who would have to have been recommended by all three interviewers?
Answer Choices
- A.0
- B.2
- C.3
- D.5
- E.10
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first name a variable for the number of applicants "recommended by all three interviewers". | Theory & Tactics Method Card TRANS1-A Click to view full details | |
We then calculate the total number of recommendations from the three interviewers. | Theory & Tactics Method Card CALC1-A Click to view full details | |
We consider a scenario where each of the 30 applicants receives at most two recommendations. | Theory & Tactics Method Card CALC1-A Click to view full details | |
Since 52 is less than 60, we can have no one recommended by all three interviewers, so the smallest possible value of x is 0. |
Scroll horizontally to view all columns
Final Answer
A