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Comprehension : Consider the following...

Comprehension :
Consider the following information and answer the questions based on it.
Out of 50 kids in a colony, 10 bike only basketabll, 25 like only football, 10 like both volleyball and football and 5 like only volleyball.
The ratio of kids who like football to those who like only basketball is

A

`5//2`

B

`7//2`

C

4

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the information given about the kids and their preferences for basketball, football, and volleyball. ### Step-by-Step Solution: 1. **Identify the number of kids who like each sport:** - Kids who like only basketball: **10** - Kids who like only football: **25** - Kids who like both volleyball and football: **10** - Kids who like only volleyball: **5** 2. **Calculate the total number of kids who like football:** - Kids who like only football: **25** - Kids who like both volleyball and football: **10** - Therefore, total kids who like football = 25 (only football) + 10 (both volleyball and football) = **35** 3. **Identify the number of kids who like only basketball:** - Kids who like only basketball: **10** 4. **Set up the ratio of kids who like football to those who like only basketball:** - Ratio = (Total kids who like football) : (Kids who like only basketball) - Ratio = 35 : 10 5. **Simplify the ratio:** - To simplify, divide both sides by 5: - 35 ÷ 5 = 7 - 10 ÷ 5 = 2 - Therefore, the simplified ratio is **7 : 2**. ### Final Answer: The ratio of kids who like football to those who like only basketball is **7 : 2**.
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