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UPSC 2006: In an office, the number of persons who take tea is twice the number of persons who take only coffee. The number of persons who take coffee is twice the number of persons who take only tea. Consider the following statements: 1. The sum of the number of persons who take either tea or coffee or both is four times the number of persons who take both coffee and tea. 2. The sum of the number of persons who take only coffee and those who take only tea is twice the number of persons who take both coffee and tea. Which of the statements given above is/are correct?
(a)1 only
(b)2 only
(c)Both 1 and 2
(d)Neither 1 nor 2
Attempt This Question
Not attemptedCorrect Answer: (b) 2 only
Let t, c, b be numbers taking only-tea, only-coffee and both. Given: (t + b)=2c and (c + b)=2t ⇒ solving gives t = c = b. Then total drinkers t+c+b = 3b (NOT 4b) so statement 1 is false, while t+c = 2b so statement 2 is true. Hence only statement 2 is correct ⇒ option (b). ([edurev.in](https://edurev.in/t/203131/Mental-Ability--Analytical-Logical-Reasoning-Solve?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2006 Science & Technology question?▼
The correct answer is option (b): 2 only. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Logical Reasoning & Puzzles question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2006, GS Paper 1, as Question 103. It falls under Science & Technology > Logical Reasoning & Puzzles.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
How many UPSC Prelims questions have been asked from Logical Reasoning & Puzzles?▼
UPSC has asked 71 questions from Logical Reasoning & Puzzles (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.