Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2

Question

Methodical Ways to Solve Venn Diagrams - Exercise Question #1

1-  Among 50 applicants for an MBA program, 28 have at least 2 degrees, 20 have work experience and 12 have less than 2 degrees and no work experience. How many applicants have more than one degree and work experience?

Options

A)  2
 B)  10
 C)  14
 D)  20
 E)  30

To read the article:      Methodical Ways to Solve Venn Diagrams

To solve question 2:    Question 2

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Archit3110 · Answer

solved using 2x2 matrix
------- >=2 degrees----- not >=2 degrees----total
work ex---  10 -------10---------------20
no work ex--18-----------12---------------30
total--------28----------22---------------50
 
IMO B ; 10

kumarankitabes · Answer

Answer is 10 .

via 2x2 matrix

Degree atleast 2 less than 2 total 
work exp 10 10 20 
No Wrk Exp 18 12 30 
Total 28 22 50

IMO B 10

EgmatQuantExpert · Answer

Solution

Understanding the question

Let us first identify the different sets mentioned in this question, 
 • The universal set is the people, who applied for an MBA program.
• Among them,
 o Set A is the people who have atleast 2 degrees, and
o Set B is the people who have work experience
o D is the people who do not have atleast 2 degrees and work experience

Now that we have identified the sets mentioned, let’s understand the information given about them
 • We are told that the total number of applicants are 50
• Among them, 
 o 28 applicants have atleast 2 degrees
o 20 applicants have work experience, and
o 12 applicants have less than 2 degrees and no work experience 
• And we need to find out the number of applicants with work experience, who have atleast 2 degrees

Draw the Venn Diagram

Now that we have understood all the information that is given to us, let’s represent this information in a two-set venn-diagram.

https://e-gmat.com/blogs/wp-content/uploads/2019/02/1.png

Let’s find the value of each entity in the venn diagram using the information given to us
 • In this question, we do not know whether all the 50 applicants have either work experience or atleast 2 degrees.
• So, we cannot say that n(U) = n(A or B)
• Thus,
 o n(U) = n(A or B) + n(D) = a + b + c + d = 50, where D is the number of people, who do not have either of them ………. (1)
o We are given that, n(A) = a + c = 28, ……………. (2)
o n(B) = b + c = 20, and ……………. (3)
o n(D) = d = 12 …………………. (4) 
• And we are asked to find out the number of applicants, who have atleast 2 degrees, with work experience, which is n(A & B) = c

From (2) + (3) + (4) – (1), we get
 • (a + c) + (b + c) + d – (a + b + c + d) = 28 + 20 + 12 – 50
• Implies, c = 10

Hence, the number of applicants, who have atleast 2 degrees, with work experience = 10

https://e-gmat.com/blogs/wp-content/uploads/2019/02/2.png

Hence, the correct answer is option B.

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

ScottTargetTestPrep · Answer

We can use the formula:

Total = Group A + Group B - Both + Neither

50 = 28 + 20 - B + 12

50 = 60 - B

B = 10

Answer: B

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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2

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