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23 Dec 2024, 09:00
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p: 9
q: 7
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
86% (01:56) correct
14%
(02:15)
wrong
based on 349
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12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes
A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:
If the ratio of employees with a master's degree to those without is p to q, select for p the possible value of p, and select for q the possible value of q that would be jointly consistent with the given information. Make only two selections, one in each column.
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A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:
- 75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
- In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
- In the AI team, the ratio of employees with a master's degree to those without is 5:3.
If the ratio of employees with a master's degree to those without is p to q, select for p the possible value of p, and select for q the possible value of q that would be jointly consistent with the given information. Make only two selections, one in each column.
| p | q | |
| 6 | ||
| 7 | ||
| 8 | ||
| 9 | ||
| 11 |
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Official Answer
p: 9
q: 7
23 Dec 2024, 10:00
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Bunuel
GMAT Club's Official Explanation:
Total employees: 32
- AI employees: 75% of 32 = 24
- Cybersecurity employees: 25% of 32 = 8
Cybersecurity team:
- For every 3 employees with a master's degree, there are 5 without.
- With 8 employees, this splits into 3 with master's and 5 without.
AI team:
- The ratio of employees with a master's degree to those without is 5:3.
- With 24 employees, this splits into 15 with master's and 9 without.
Company total:
- Employees with a master's degree: 3 (cybersecurity) + 15 (AI) = 18
- Employees without a master's degree: 5 (cybersecurity) + 9 (AI) = 14
The overall ratio of employees with a master's degree to those without is 18:14, which reduces to 9:7.
General Discussion
23 Dec 2024, 09:12
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Total employees = 32
Employees (A + C = 32)
In AI = 75% of 32 =24
In Cybersecurity=8
Given in AI :
master's degree to those without is 5:3
5x+3x=24
x=3
With master's in AI=15 , without in AI=9
Given in Cybersecurity :
master's degree to those without is 3:5.
3y+5y=8
y=1
With master's in C=3 , without in C=5
=> p/q=(15+3)/(9+5)=9/7
Employees (A + C = 32)
In AI = 75% of 32 =24
In Cybersecurity=8
Given in AI :
master's degree to those without is 5:3
5x+3x=24
x=3
With master's in AI=15 , without in AI=9
Given in Cybersecurity :
master's degree to those without is 3:5.
3y+5y=8
y=1
With master's in C=3 , without in C=5
=> p/q=(15+3)/(9+5)=9/7
