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In an office, every employee likes at least one of tea, coffee and milk. The number of employees who like only tea, only coffee, only milk and all the three are all equal. The number of employees who like only tea and coffee, only coffee and milk and only tea and milk are equal and each is equal to half the number of employees who like all the three. Then a possible value of the number of employees in the office is _________.

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answer is 77.

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Detailed Solution

(i) Use Venn diagrams.
(ii) The given information can be expressed as

(iii) Total number of employees is 7x, i.e., a multiple of 7.

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