JEE Main Mathematics question
In an office, every employee likes at least one of tea, coffee and milk. The numbers of employees who like only tea, only coffee, only milk and all the three are all equal. The numbers of employees who like only tea and coffee, only coffee and milk and only tea and milk are equal and each is equal to the number of employees who like all the three. Then a possible value of the number of employees in the office is
Answer: (C)
Solution
All seven regions of the Venn diagram have the same count , so the total is . Among the options only 77 is a multiple of 7.