Solutions
Get detailed explanations to advanced GMAT questions.
Question
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many people are present?
Option A:
6
Option B:
7
Option C:
8
Option D:
9
Option E:
10
Difficulty Level
MediumSolution
Option B is the correct answer.
Option Analysis
Say there are ‘A’ associate professors.
So we have 2 A pencils and A charts.
Say there are ‘B’ assistant professors.
So we have B pencils and 2 B charts.
Total pencils are 10
so 2A + B = 10
Total charts are 11
so A + 2B = 11
Add both: 3A + 3B = 21
so A + B = 7
Total number of people = 7
Related Questions
- A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on…
- If set B is a subset of Set A, how many elements are in set A?
- At the end of each year, the value of a certain antique watch is “c” percent more than its value one…
- If x is a nonzero number, which of the three numbers x, 1/x and x^2 is greatest?
- Each of 90 students participated at least 1 of the track tryouts: High jump, long jump, 100 meter dash. If 20…