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:
Explanation:
Using the data we can have following Venn diagram.
From the given data, we can form the following equations:
a + b + c + d = 42 – 18 = 24
⇒ a + b + c + d = 24 … (i)
a + b + c + 2(18) + 3d = 22 + 28 + 24 = 74 ⇒ a + b + c + 3d = 42 … (ii)
Solving (i) and (ii), d = 7
∴ 6 + 7 + 8 + b = 28 ⇒ b = 7
Hence, option (d).
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