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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 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

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 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

Answer:

(b)

Explanation

Statement 2 only is correct: The sums match the conditions given in the problem.