Question

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
the number of employees who like all the three. Then the possible value of the number of employees in the office is
(a) 65 (b) 90 (c) 77 (d) 85

Answer 1

Given:

1. All employees like one or the other beverage.

The number of employees who like only tea= only

coffee= only milk= all the three

2. The number of employees who like only tea and coffee= only coffee and

milk = only tea and milk =

the number of employees who like all the three.

To find:

The possible number of employees

Solution:

If we compare the two conditions given, we can say that all the values are equal to each other

( This can be shown using a Venn diagram as well- attached below)

Only tea= Only coffee= Only milk= Only tea and coffee= only coffee and

milk = only tea and milk = all the three.

Therefore, total number of employees must be divided equally amongst all the seven sectors( options).

So, we need to choose a number which is divisible by 7

Among the given options, only 77 is divisible by 7.

The possible value of the number of employees in the office is 77.

Answer 2

Step-by-step explanation:

Given 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  the number of employees who like all the three. Then the possible value of the number of employees in the office is

• We need to find the possible number of employees in the office.
• According to the question, each employee likes tea, coffee and milk. Since it will be equal. Let number of people who like tea be p
• Let number of people who like coffee be p
• Let number of people who like milk be p.
• Now the number of people who like only tea, only coffee and only milk are equal.
• Also the number of people who like only tea and coffee, coffee and milk and only tea and milk are equal.
• Now if we draw a venn diagram then all are equal to p
• So total number of employees will be p + p + p + p + p + p + p = 7p
• So the total number of employees will be a multiple of 7
• So from the options we have 11 x 7 = 77
• Therefore total number of employees in the office is 77

Reference link will be

https://brainly.in/question/21381828

https://brainly.in/question/5867987