Frank researched the 45 doctors in his local area and found that 8 of

Question

Frank researched the 45 doctors in his local area and found that 8 of them graduated from medical school with honors, but that the services of only 3 of those 8 doctors are covered by his medical plan. He also found that 27 doctors whose services are covered by his medical plan graduated from medical school without honors.

In the table below, for the doctors in Frank’s local area, identify the total number of doctors whose services are not covered by Frank’s medical plan, and identify the number of doctors who both graduated from medical school without honors and whose services are not covered by Frank’s health plan. Make only one selection in each column.

Apt0810 · Answer

1)Services not covered under the medical plan : 45-27(doctors without honors,but whose name is under the plan)-3(Doctors with honors and who are covered under the plan) = 15
2)Graduated Without Honors and Services Not Covered by Medical Plan: 45-27(doctors without honors,but whose name is under the plan)-8(Doctors with and out of plan but with honors)=10

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rocky620 · Answer

Doctors graduated from medical school with honors =  A = 8 
Doctors graduated from medical school without honors = B = ?
 Total Doctors = 45

A+B=45
 B = 37

Franks Plan cover 3 Doctors of A, and 27 Doctors of B.
Total services covered in Franks medical plan = 3 + 27 = 30

Services Not Covered by Medical Plan  => Total Doctors - Doctors Covered in Plan => 45 - 30 =>  15

Graduated Without Honors and Services Not Covered by Medical Plan  => B - 27 => 37 - 27 =>  10

demawtf · Answer

Double set matrix method: https://gmatclub.com/forum/download/file.php?id=82206 GMAT-Club-Forum-hpaq62w2.png

Umber · Answer

I prefer TREE Diagram for such Questions check:

Total Doc: 45
 / \
 / \
 / \
 / \ 
 Honors (8) Non-Honor(37)
 /\ / \
 / \ / \
 / \ / \
 Service Covered(3) Not Covered( 5 ) Ser Cov(27) Ser Not Cov ( 10 )
 
Services Not Covered by Medical Plan:  5+10 
Graduated Without Honors and Services Not Covered by Medical Plan: 10

Frank researched the 45 doctors in his local area and found that 8 of

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Services Not Covered by Medical Plan	Graduated Without Honors and Services Not Covered by Medical Plan	Total Number
		10
		15
		18
		30
		37
		40

GMAT Two-part Analysis (TPA) Questions

Frank researched the 45 doctors in his local area and found that 8 of

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