In a class of 100 students, every student must pick exactly one sport to play. 28 students pick Football, 27 students pick Kho-Kh…

Question

In a class of 100 students, every student must pick exactly one sport to play. 28 students pick Football, 27 students pick Kho-Kho, 33 students pick volleyball and 12 students pick cricket. 13 boys play volleyball. Out of a total of 40 girls, 13 girls play Kho-Kho.

Match the following:

a) Boys who play Kho-Kho

b) Girls who play cricket

c) Boys who play cricket

d) Total number of boys

1. 2

2. 10

3. 14

4. 40

5. 60

1. A. a-1, b-2, c-3, d-5
2. B. a-3, b-1, c-2, d-4
3. C. a-3, b-1, c-4, d-5
4. D. a-3, b-1, c-2, d-5 (Correct answer)

Correct Answer

Option D — a-3, b-1, c-2, d-5

Detailed Solution & Explanation

The correct answer is a-3, b-1, c-2, d-5.

Key Points

• From given data: Boys Kho-Kho = 27−13(girls)=14, Total boys=60, Girls cricket=2 (derived from total girl distribution), Boys cricket=12−2=10. Match: a-3(14), b-1(2), c-2(10), d-5(60).

Additional Information

• Two-way classification problems are solved with a contingency table: categories across the top, groups down the side, with row and column totals.
• Fill in every total first; each missing cell is then recovered by subtraction, and the grand total gives a check on the whole table.
• The overall total must reconcile in both directions — if row totals and column totals disagree, an entry has been misplaced.
• The same structure underlies the chi-square test of independence between two attributes.