Question 1

The total number of students who got placed from all the specializations together was what percentage of the total number of students pursuing specializations in operations, marketing, and finance collectively?

Options:
1. 43.21%
2. 44.89%
3. 45.66%
4. 46.22%

Solution:

Given:
– Total number of students = 3600
– Total number of students placed = 1200
– Breakup of students studying in different specializations:
– Finance = 20%
– Operations = 35%
– Marketing = 18%
– Business Analytics = 16%
– HR = 12%
– Breakup of students placed in each specialization:
– Finance = 8%
– Operations = 33%
– Marketing = 22%
– Business Analytics = 26%
– HR = 11%

Step 1: Calculate the total number of students in Operations, Marketing, and Finance:
\[ \text{Operations} = 35\% \text{ of } 3600 = 0.35 \times 3600 = 1260 \] \[ \text{Marketing} = 18\% \text{ of } 3600 = 0.18 \times 3600 = 648 \] \[ \text{Finance} = 20\% \text{ of } 3600 = 0.20 \times 3600 = 720 \] \[ \text{Total students in Operations, Marketing, and Finance} = 1260 + 648 + 720 = 2628 \]

Step 2: Calculate the total number of students placed from all specializations:
\[ \text{Total students placed} = 1200 \]

Step 3: Calculate the percentage of students placed relative to the total number of students in Operations, Marketing, and Finance:
\[ \text{Percentage} = \left( \frac{\text{Total students placed}}{\text{Total students in Operations, Marketing, and Finance}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{1200}{2628} \right) \times 100 \approx 45.66\% \]

Answer: (3) 45.66%

Question 2

The number of students who got placed from the HR specialization was what percent of the total number of students studying in that specialization?

Options:
1. 36.18%
2. 30.56%
3. 47.22%
4. 28.16%

Solution:

Given:
– Total number of students = 3600
– HR specialization = 12% of 3600 = 0.12 × 3600 = 432
– HR placement = 11% of 1200 = 0.11 × 1200 = 132

Step 1: Calculate the percentage of students placed in HR relative to the total number of students in HR:
\[ \text{Percentage} = \left( \frac{\text{HR placements}}{\text{Total HR students}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{132}{432} \right) \times 100 \approx 30.56\% \]

Answer: (2) 30.56%

Question 3

What is the difference between the total number of students pursuing specialization in Business Analytics and HR combined and the number of students who got placed from Marketing and Finance specializations combined?

Options:
1. 812
2. 972
3. 582
4. 612

Solution:

Given:
– Business Analytics = 16% of 3600 = 0.16 × 3600 = 576
– HR = 12% of 3600 = 0.12 × 3600 = 432
– Marketing placements = 22% of 1200 = 0.22 × 1200 = 264
– Finance placements = 8% of 1200 = 0.08 × 1200 = 96

Step 1: Calculate the total number of students in Business Analytics and HR:
\[ \text{Total} = 576 + 432 = 1008 \]

Step 2: Calculate the total number of students placed in Marketing and Finance:
\[ \text{Total placements} = 264 + 96 = 360 \]

Step 3: Find the difference:
\[ \text{Difference} = 1008 – 360 = 648 \]

Answer: (4) 612 (Note: There seems to be a discrepancy in the options provided. The correct calculation gives 648, but the closest option is 612.)