**Directions (1-5): Go through the data given below and solve the questions based on it.**

**2,000 students secured admissions into the 2-year MBA programme beginning in 1997. Figure A given below provides the educational background of this batch of students. The same batch of students graduated in 1999 and had opted for different specializations as indicated in figure B given below. All the students who secured admission in 1997 passed out in 1999.**

**Figure A**: When they entered in 1997

**Figure B**: When they left in 1999

*Note: 20% of Engineers and 10% of (Science + Commerce) students were with some work experience before joining MBA programme. All others students were without work experience.***Q1. 40% of students with work experience specialized in Marketing. How many students with specialization in Marketing are without work experience?**

(a) 352

(b) 396

(c) 440

(d) 88

(e) None of these

**Q2. If 50% of engineers specialized in Systems, how many non-engineers specialized in Systems?**

(a) 360

(b) 0

(c) 100

(d) 160

(e) None of these

**Q3. What is the difference between the number of students specializing in Finance in 1999 and the number students who had CA or Commerce background?**

(a) 500

(b) 480

(c) 20

(d) 40

(e) None of these

**Q4. 24% of students of graduating class in 1998 specialized in finance. Find the % increase in the number of students specializing in finance from 1998 to 1999.**

(a) 1%

(b) 100/24%

(c) 3%

(d) Cannot be determined

(e) None of these

**Q5. 30% of Engineers and 40% of Commerce students specialized in Finance. The remaining students who specialized in finance were Science graduates. What percentage of Science graduates opted for finance?**

(a) 24.66%

(b) 34.44%

(c) 38.68%

(d) Cannot be determined

(e) None of these

Answer & Explanation

**S1. Ans.(a)**

**Sol. Students with work experience**

**= 36% × 20% × 2000 + 10% [38% of 2000]**

**= 2000 × [36% × 20% + 38% × 10%] = 220**

**Now marketing students with work experience = 40% of 220 = 88**

**So, total marketing students = 22% of 2000 = 440**

**So, Marketing students without work experience = 440 – 88 = 352**

**S2. Ans.(b)**

**Sol. Number of students specializing systems = 360**

**Number of engineers specializing systems = 36/100×50/100× 2000 = 360**

**So, number of non-engineers specializing systems = 0**

**Alternatively, this question can be done by seeing only the percentage values too.**

**S3. Ans.(c)**

**Sol. Number of students specializing in finance = 25% of 2000 = 500**

**Total number of CA or commerce students**

**= (20 + 4) % of 2000 = 480**

**Difference = 500 – 480**

**= 20**

**S4. Ans.(d)**

**Sol. Since total number of students doing graduation in 1998 in not known, this question cannot be answered.**

**S5. Ans.(b)**

**Sol. Number of engineers who specialized in finance = 30% × 36% × 2000 = 216**

**Number of commerce students who specialized in finance = 40% × 20% × 2000 = 160**

**So, number of Science graduates specializing in finance = (25% of 2000) – 216 – 160 = 124**

**∴ % of Science students specializing in finance**