In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes at least one drink.
Question: How many persons attended the party?
Statement 1-50 person took milk.
Statement 2- Number of persons who attended the party is five times the number of persons who took milk only.
This questions was previously asked in
Complete-Test, Previous year (2023)
The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
Incorrect AnswerThe Question can be answered by using either Statement alone.
Incorrect AnswerThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
Correct AnswerThe Question cannot be answered even by using both the Statements together.
Incorrect AnswerExplanation:
- Statement 1: 50 persons took milk.
- On its own, this doesn't give the total number of people at the party because we don't know how many took only tea or only coffee.
- Statement 2: The number of persons who attended the party is five times the number of persons who took milk only.
- On its own, this doesn't provide enough information because we still don't have the total count of people who drank milk only.
- Combining Statements 1 and 2:
- If 50 people took milk, the number of persons who took milk only is 50 (since milk drinkers do not take tea).
- Therefore, the total number of people is \(5 \times 50 = 250\).
- Conclusion: You need both statements to calculate the total number of attendees.
- Answer: Option 3: The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
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