Question 112

The business consulting division of TCS has overseas operations in 3 locations: Singapore, New York and London. The Company has 22 analysts covering Singapore, 28 covering New York and 24 covering London. 6 analysts cover Singapore and New York but not London, 4 analysts cover Singapore and London but not New York, and 8 analysts cover New York and London but not Singapore. If TCS has a total of 42 business analysts covering at least one of the three locations: Singapore, New York and London, then the number of analysts covering New york alone is:

Solution

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On drawing the Venn diagram

It is given that TCS has a total of 42 business analysts covering at least one of the three locations: Singapore, New York and London.

Therefore, (12 - x) + (14 - x) + (12 - x) + 6 + 4 + 8 + x = 42

$$\Rightarrow$$ 56 - 2x = 42 i.e. x = 7. 

Therefore, the number of analysts covering New York alone = 14 - x = 14 - 7 = 7.

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