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

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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2  [#permalink]

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New post Updated on: 21 Feb 2019, 04:42
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Question Stats:

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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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Originally posted by EgmatQuantExpert on 20 Feb 2019, 04:41.
Last edited by EgmatQuantExpert on 21 Feb 2019, 04:42, edited 3 times in total.
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Re: Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2  [#permalink]

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New post 20 Feb 2019, 10:57
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




EgmatQuantExpert wrote:
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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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2  [#permalink]

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New post 23 Feb 2019, 02:52
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
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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2  [#permalink]

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New post 25 Feb 2019, 21:14

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.

Image


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

Image


Hence, the correct answer is option B.

Image

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Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 2   [#permalink] 25 Feb 2019, 21:14
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