Question 1 · Quantitative Aptitude and Data Interpretation (QA & DI)
MCQ
Common Description:
41 applicants have been shortlisted for interviews for some data analyst positions. Some of the applicants have advanced expertise in one or more elds 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 elds is given as x in the table, where x is a non-negative integer. What BEST can be concluded about the value of x?
The number of applicants with advanced expertise in all three elds is given as x in the table, where x is a non-negative integer. What BEST can be concluded about the value of x?
Correct Answer:
E
Step-by-Step Solution
Key idea: three-set Venn diagram with one unknown region ; use the total-sum constraint to bound .
Step 1: Let the 7 non-empty regions of the Venn diagram be expressed in terms of using the table data.
Step 2: Sum of all 7 regions (total applicants). This gives a linear inequality in .
Step 3: Each region must be a non-negative integer, giving lower and upper bounds on .
Step 4: Solving the inequalities yields .
Step 5: Both values satisfy every non-negativity constraint, so can be 1 or 2.
Answer: 1 or 2 only (option E).