Read the following information carefully and answer the given questions. Some recruitment is done by three companies, i.e., P, Q and R. The number of vacancies in company P, Q, and R are 6, 12 and 2 respectively. The number of candidates, who got interview call for per vacancy in company P, Q and R are 60, 6x and 4x respectively. The total number of candidates applied in company R is 25% of the total number of candidates, applied in the company Q and three fifth of the total number of candidates applied in the company P. The difference between the number of candidates, who got interview calls in the company Q and R is 320. What is the total number of candidates applied in company Q?

### Concept & Logic The problem provides absolute numerical values for interview calls but only relative ratios and percentages for the number of candidates who originally applied. ### Step-by-Step Solution 1. Let the total candidates applied in companies P, Q, and R be $A_P$, $A_Q$, and $A_R$ respectively. 2. From the given directions: $A_R = 25\%$ of $A_Q$, which means $A_R = 0.25 A_Q$. 3. It is also given that $A_R = \frac{3}{5}$ of $A_P$. 4. These equations only allow us to establish a ratio between the applied candidates: $A_P : A_Q : A_R = 5 : 12 : 3$. 5. Because there is no absolute numerical data linking the number of applied candidates to the number of interview calls in the general directions, the exact value of $A_Q$ cannot be found. ### Exam Strategy & Shortcut Always verify if a question asks for an absolute value when only ratios or percentages are provided. If no absolute anchor is given for that specific group, the answer will invariably be "Cannot be determined". ### Common Pitfall Wasting time trying to solve for variables that lack sufficient constraints, or erroneously assuming the number of applied candidates equals the number of interview calls. ### Final Answer Therefore, the correct answer is **Can't be determined**.