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Zorluk: KolayCaselets and Paragraph-Based Data

In a university central library, a survey was conducted on 500500 students who visited on Monday. Out of the total 500500 students, 300300 students borrowed books, while the remaining 200200 students used the reading room only. Among the students who borrowed books, 180180 were undergraduate students and the rest were postgraduate students. Among the students who used the reading room only, 120120 were undergraduate students and the rest were postgraduate students.

Based on the information provided in the paragraph above, which of the following statements are correct?

  1. The total number of postgraduate students surveyed is 200200.Cevap
  2. The ratio of undergraduate students to postgraduate students who borrowed books is 3:23 : 2.Cevap
  3. C
    The percentage of postgraduate students among those using the reading room only is 50%50\%.
  4. D
    The total number of undergraduate students surveyed is 250250.

Cevap

The correct statements are that the total number of postgraduate students surveyed is 200, and the ratio of undergraduate students to postgraduate students who borrowed books is 3 : 2.
The total number of postgraduate students surveyed is 200200 (120120 who borrowed books and 8080 who used the reading room only). Furthermore, the ratio of undergraduate borrowers (180180) to postgraduate borrowers (120120) simplifies correctly to 3:23 : 2.

Adım Adım Çözüm

1
Extract data for students who borrowed books
Total borrowing books = 300300. Undergraduate borrowers = 180180. Postgraduate borrowers = 300−180=120300 - 180 = 120.
Separating the borrowing group into undergraduate and postgraduate categories.
2
Extract data for students using the reading room only
Total reading room only = 200200. Undergraduate reading room users = 120120. Postgraduate reading room users = 200−120=80200 - 120 = 80.
Separating the reading room group into undergraduate and postgraduate categories.
3
Calculate total postgraduate and undergraduate counts across both categories
Total postgraduate students = 120+80=200120 + 80 = 200. Total undergraduate students = 180+120=300180 + 120 = 300.
Summing values across both activity categories to verify totals.
4
Verify ratios and percentages
Ratio of UG borrowers to PG borrowers = 180:120=3:2180 : 120 = 3 : 2. Percentage of PG students in reading room = 80200×100=40%\frac{80}{200} \times 100 = 40\%.
Testing each option statement against computed values.

Anahtar Kavram

Data Extraction and Tabulation from Caselets
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Konular

Caselets and Paragraph-Based Data

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