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. In company P, out of the total number of candidates who got interview call 40% are female and company P allotted its posts to male and female in the ratio of 2 : 1 respectively, then find the number of females who did not get the job in company P.

### Concept & Strategy First, determine the total number of interview calls for Company P by multiplying its vacancies by the calls per vacancy. Then, apply the given percentages and ratios to separate the total pool into interviewed females and hired females. ### Step-by-Step Solution 1. Find the total number of interview calls for company P: $6 \text{ vacancies} \times 60 \text{ calls per vacancy} = 360$ total calls. 2. Calculate the number of female candidates who got an interview call: $40\%$ of $360 = 0.4 \times 360 = 144$ females. 3. Determine the total available posts in company P, which is $6$. 4. The ratio of posts allotted to males and females is $2:1$. The number of female posts (jobs) is: $\frac{1}{2+1} \times 6 = \frac{1}{3} \times 6 = 2$ posts. 5. Calculate the females who did not get the job by subtracting hired females from interviewed females: $144 - 2 = 142$. ### Exam Strategy & Shortcut You do not need to solve for $x$ (from the Q and R data) to answer this specific question. Company P's data for interview calls and vacancies is completely independent and given in absolute numbers. Stick strictly to Company P's metrics. ### Common Pitfall Wasting time calculating $x$ from the $320$ difference equation when it has no bearing on Company P's calculations. ### Final Answer Therefore, the correct answer is **142**.