Caselets

Q: How many students play exactly one sport?

Correct Answer: Option C (370). Let C, F, B denote the sets. All three (C∩F∩B) = 40. Only C & F = 80 - 40 = 40. Only F & B = 70 - 40 = 30. Only C & B = 60 - 40 = 20. Only C = 220 - (40+40+20) = 120. Only F = 250 - (40+40+30) = 140. Only B = 200 - (40+30+20) = 110. Exactly one sport = Only C + Only F + Only B = 120 + 140 + 110 = 370.

Q: How many students play exactly two sports?

Correct Answer: Option C (90). Exactly two sports = (Only C & F) + (Only F & B) + (Only C & B) = 40 + 30 + 20 = 90.

Q: What is the ratio of students playing only Cricket to those playing only Basketball?

Correct Answer: Option B (12:11). Students playing only Cricket = 120. Students playing only Basketball = 110. Ratio = 120 : 110 = 12:11.

Q: How many students play at least two sports?

Correct Answer: Option C (130). At least two sports = (Exactly two sports) + (Exactly three sports) = 90 + 40 = 130.

Q: What percentage of the total students play only Football?

Correct Answer: Option C (28%). Students playing only Football = 140. Total students = 500. Percentage = (140 / 500) * 100 = 28%.

80 Questions

Practice Caselets questions with answers and step-by-step solutions. These problems are curated from recent campus placement test papers (TCS, Infosys, Wipro, Cognizant, Accenture) and competitive government exams (SSC CGL, Bank PO, RRB NTPC, UPSC).

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Caselets: Reference Passage & Data Shared for questions below

Caselet Context & PassageSet 1: Venn Diagrams

Data Interpretation: Caselets Part 2 (Medium to Hard Level)

In a college of 500 students, students can choose to play among three sports: Cricket, Football, and Basketball. It is found that 40 students play all three sports. 80 students play both Cricket and Football. 70 students play both Football and Basketball. 60 students play both Cricket and Basketball. In total, 220 students play Cricket, 250 students play Football, and 200 students play Basketball. Every student plays at least one of the three sports.

How many students play exactly one sport?

hard

How many students play exactly two sports?

hard

What is the ratio of students playing only Cricket to those playing only Basketball?

hard

How many students play at least two sports?

hard

Q10

What percentage of the total students play only Football?

hard

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Caselets

How many students play exactly one sport?

Community Discussion & Shortcut Formulas

How many students play exactly two sports?

Community Discussion & Shortcut Formulas

What is the ratio of students playing only Cricket to those playing only Basketball?

Community Discussion & Shortcut Formulas

How many students play at least two sports?

Community Discussion & Shortcut Formulas

What percentage of the total students play only Football?

Community Discussion & Shortcut Formulas