Directions for questions 28–31: Read the passage below and solve the questions based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.
The percentage passengers who like at least 2 of the coffee, tea and lassi, is

Options

A. 30
B. 45
C. 50
D. 60

Answer

To solve the problem, we will use a Venn diagram to organize the information provided about the preferences of passengers regarding coffee, tea, and lassi. We will break down the percentages step by step.

### Step-by-Step Solution:

1. **Identify the Total Percentage of Passengers**:
- Given that 5% of passengers do not like coffee, tea, or lassi, this means that 95% of passengers like at least one of the three beverages.

2. **Set Up the Venn Diagram**:
- Let:
- \( C \) = percentage of passengers who like coffee
- \( T \) = percentage of passengers who like tea
- \( L \) = percentage of passengers who like lassi
- We know:
- \( C = 55\% \)
- \( T = 50\% \)
- \( L = 50\% \)

3. **Fill in the Information from the Problem**:
- 10% like all three beverages (Coffee, Tea, and Lassi).
- 20% like both coffee and tea.
- 25% like both lassi and coffee.
- 25% like both lassi and tea.

4. **Calculate the Percentages for Only Two Beverages**:
- For Coffee and Tea (20% total):
- Those who like only Coffee and Tea = \( 20\% - 10\% = 10\% \).
- For Lassi and Coffee (25% total):
- Those who like only Lassi and Coffee = \( 25\% - 10\% = 15\% \).
- For Lassi and Tea (25% total):
- Those who like only Lassi and Tea = \( 25\% - 10\% = 15\% \).

5. **Calculate the Percentages for Only One Beverage**:
- Total liking Coffee = 55%:
- Those who like only Coffee = \( 55\% - (10\% + 10\% + 15\%) = 55\% - 35\% = 20\% \).
- Total liking Tea = 50%:
- Those who like only Tea = \( 50\% - (10\% + 15\% + 10\%) = 50\% - 35\% = 15\% \).
- Total liking Lassi = 50%:
- Those who like only Lassi = \( 50\% - (10\% + 15\% + 15\%) = 50\% - 40\% = 10\% \).

6. **Summarize the Findings**:
- Only Coffee: 20%
- Only Tea: 15%
- Only Lassi: 10%
- Coffee and Tea only: 10%
- Lassi and Coffee only: 15%
- Lassi and Tea only: 15%
- All three: 10%
- No preference: 5%

7. **Calculate the Percentage of Passengers Who Like at Least Two Beverages**:
- At least two beverages means we consider those who like:
- Coffee and Tea only: 10%
- Lassi and Coffee only: 15%
- Lassi and Tea only: 15%
- All three: 10%
- Total = \( 10\% + 15\% + 15\% + 10\% = 50\% \).

### Final Answer:
The percentage of passengers who like at least two of coffee, tea, and lassi is **50%**.