Instructions

Read the following scenario and answer the TWO questions that follow.

41 applicants have been shortlisted for interviews for some data analyst positions. Some of the applicants have advanced expertise in one or more fields among the following: data analysis, database handling and coding. The numbers of applicants with different advanced expertise are given in the 2 × 8 table below.
The number of applicants with advanced expertise in all three fields is given as x in the table, where x is a non-negative integer.

Question 19

How many applicants DID NOT have advanced expertise in any of the three given fields?

Solution

Here, we need to represent all the given data in a three sets venn-diagram that is Data Analytics (A), Database Handling (H), and Coding (C).

If we write all the data that is given in the table, we will get the following diagram:

Screenshot_20240426_152032

Now we need to infer the characteristics of x, which can be concluded from the given information.

We know that $$2-x\ge\ 0$$, hence the possible values of x is 0, 1, 2

It is also known that $$x-2\ge\ 0$$, which implies the possible values of x is 2, 3, 4, ....

Now, from both equation, the only common value of x is 2.

Hence, x can take only 2 as the value.

Now the total number of people who know atleast one of the three is (x+4)+(2-x)+x+x+(6-x)+(3-x)+(x-2)=x+13=2+13=15.

 We know the total is 41 members. So, the number of people who don't know atleast 1 is 41-15=26.


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