# Must do Data Analysis (Caselet) for SBI PO/Clerk/BoB PGDBF

**Directions (Q. 1-5): Study the following information carefully to answer the questions that follow:**

There are two universities A and B. Both the universities have four departments, viz Biology, Mathematics, Physics and Chemistry. In University A, there are total 800 students. University B has thirty per cent more students than University A. Twentyfive per cent of the total number of students of University A are in the Mathematics Department. One-fifth of the total number of students of University A are in the Biology Department. Twentytwo per cent of the students of University A are in the Chemistry Department. Remaining students of University A are in the Physics Department. The total number of students in the Biology Department in both the universities is 580. Twenty per cent of the number of students of University B are in the Chemistry Department. Fifteen per cent of the total students of University B are in the Mathematics Department. The remaining students of University B are in the Physics Department.

**1. What is the ratio of the number of students in the Chemistry Department of University A to the number of students in the Mathematics Department of University B?**

1) 22 : 13 2) 13 : 11 3) 11 : 4

4) 44 : 39 5) None of these

**2. What is the total number of students in the Physics Department of University A and the Biology Department of University B together?**

1) 674 2) 684 3) 596 4) 864 5) None of these

**3. The number of students in the Physics Department of University B is approximately what per cent of the number of students in both the universities together?**

1) 14% 2) 18% 3) 20% 4) 16% 5) None of these

**4. The number of students in the Biology Department of University B is what per cent of the number of students of University B?**

1) 34% 2) 35.38% 3) 52% 4) 42% 5) 40.38%

**5. The total number of students in Chemistry, Physics and Biology of University A is what per cent more or less than that in the same departments of University B?**

1) 32.12% less 2) 42.12% more 3) 32.12% less

4) 42.12% more 5) None of these

**Directions (Q. 6-10): Study the following information carefully and answer the questions given below: **

800 students participated in any one or more events of Essay Writing, Quiz Contest and Painting in a college fest. 20% of students participated only in Quiz Contest in which the ratio of boys to girls was 5 : 3 while, 15.625% students participated only in Essay Writing, in which the ratio of boys to girls was 3 : 2, and 22.5% students participated only in Painting, in which the ratio of boys to girls was 5 : 1. 15% students participated in Essay Writing and Painting only, in which the ratio of boys to girls was 2 : 1. 11.25% students participated in Quiz Contest and Painting only, in which the ratio of boys to girls was 5 : 4. 9.375% students participated in Quiz Contest and Essay Writing only in which the ratio of boys to girls was 4 : 1. The ratio of boys to girls who participated in all three events was 7 : 3.

Answer the following questions based on the above, information

**6. What is the total number of girls who participated in only one type of event?**

1) 120 2) 130 3) 140

4) 150 5) 160

**7. What is the number of boys who participated in all three types of event?**

1) 28 2) 35 3) 42

4) 56 5) 70

**8. What is the difference between the total number of boys and the total number of girls who participated in Quiz Contest?**

1) 105 2) 110 3) 115

4) 120 5) 125

**9. What is the percentage of students who participated in Essay Writing?**

1) 42.25% 2) 43.25% 3) 44.25%

4) 45.25% 5) 46.25%

**10. The number of girls who participated in Painting is what percentage of the total number of students?**

1) 12.725% 2) 15.625% 3)17.25%

4) 18.125% 5) 20%