A customer-service company reviewed a sample of requests submitted

Question

A customer-service company reviewed a sample of requests submitted through four regional offices. The table shows the exact percentage of sampled requests from each office that were referred to each of seven departments. The percentages in a column may total more than 100% because a single request could be referred to more than one department.

Requests referred to  
  North office  
  South office  
  East office  
  West office  
 
  Billing 
 32% 
 45% 
 28% 
 40% 
 
  Technical Support 
 41% 
 37% 
 35% 
 33% 
 
  Account Services 
 18% 
 22% 
 16% 
 20% 
 
  Compliance 
 9% 
 12% 
 10% 
 11% 
 
  Returns 
 5% 
 7% 
 4% 
 6% 
 
  Logistics 
 8% 
 4% 
 9% 
 5% 
 
  External Partner 
 11% 
 8% 
 13% 
 9%

For each of the following questions, select  Yes  if the information provided is sufficient to determine a definite answer. Otherwise, select  No .

Bunuel · Accepted Answer

Official Solution:

The percentages describe the requests from each office separately. Since we are not told how many requests were sampled from each office, percentages from different offices cannot generally be combined to determine overall numbers.

Also, a request may be referred to more than one department, so percentages within the same office can overlap.

• Were more requests referred to Account Services than to Compliance?

For every office, the percentage referred to Account Services is greater than the percentage referred to Compliance.

Therefore, regardless of how many requests came from each office, the total number referred to Account Services must be greater than the total number referred to Compliance.

Answer:  Yes

• Were more requests referred to Returns or Logistics than to Account Services?

For every office, even if there were no overlap between Returns and Logistics, the sum of their percentages would still be less than the percentage referred to Account Services.

If some requests were referred to both Returns and Logistics, the percentage referred to Returns or Logistics would be even smaller.

Therefore, the information is sufficient to determine that fewer requests were referred to Returns or Logistics than to Account Services.

Answer:  Yes

• Was at least 30% of the requests from the East office referred to Billing or Technical Support?

For the East office, 28% of requests were referred to Billing and 35% were referred to Technical Support.

Some requests may have been referred to both departments, so the two percentages cannot simply be added. However, the percentage referred to Billing or Technical Support must be at least 35%, since 35% were referred to Technical Support alone or together with Billing.

Therefore, it can be determined that at least 30% were referred to Billing or Technical Support.

Answer:  Yes

Correct answers:

Statement 1:  Yes 
Statement 2:  Yes 
Statement 3:  Yes

hd29 · Answer

We dont need to check the number of requests in all 3 cases as percentages are clearly comparable.

1. We can see that for all 4 offices, requests referred to account services were more than compliance. So, true.

2. Similarly, we can see that all 4 offices individually referred more requests to account services than even returns or logistics combined. So, true

3. East office referred 28% and 35% of requests to billing and technical support respectively. So, even if these fully overlap, atleast 30% were referred. So, true.

laborumpossimus · Answer

Question 1 (Yes) 
 Account Services has a higher percentage than Compliance in  every single office  (18>9, 22>12, 16>10, 20>11). No matter how many requests each office handled, the total number for Account Services will mathematically always be larger.

Question 2 (no) 
 If you combine the percentages of Returns + Logistics for each individual office (13%, 11%, 13%, 11%), the combined total is strictly smaller than the Account Services percentage in  every single office  (18%, 22%, 16%, 20%). Therefore, Account Services wins globally regardless of office sizes. 
 
Question 3 (Yes) 
 This looks at the East office alone. Technical Support by itself is 35%. Even if every single Billing request (28%) completely overlapped with Technical Support, the minimum percentage going to at least one of these departments is 35%, which is definitively at least 30%.

A customer-service company reviewed a sample of requests submitted

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

Requests referred to	North office	South office	East office	West office
Billing	32%	45%	28%	40%
Technical Support	41%	37%	35%	33%
Account Services	18%	22%	16%	20%
Compliance	9%	12%	10%	11%
Returns	5%	7%	4%	6%
Logistics	8%	4%	9%	5%
External Partner	11%	8%	13%	9%

Yes	No
		Were more requests referred to Account Services than to Compliance?
		Were more requests referred to Returns or Logistics than to Account Services?
		Was at least 30% of the requests from the East office referred to Billing or Technical Support?

GMAT Graphs and Tables (G&T) Questions

A customer-service company reviewed a sample of requests submitted

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards