Discussion

Explanation:

We can draw the following Venn diagram from the information given in the question.

​​​​​​​

From (1): a = 3g   …(1)

From (2): c = (c + g) – 10
⇒ g = 10
⇒ a = 30 [From (1)]

From (3): e + f = a + b + 29
⇒ e + f = 59 + b   …(2)

From (4): a + e = 140
⇒ 30 + e = 140
⇒ e = 110

From (5): a + b = g + 100
⇒ 30 + b = 10 + 100
⇒ b = 80

⇒ e + f = 59 + b = 139   …(3) [From equation (2)]
⇒ 110 + f = 139
⇒ f = 29

From (6): a + b + c + d + e = d + e + f + g + 86
⇒ a + b + c = f + g + 86
⇒ 30 + 80 + c = f + 10 + 86
⇒ c = f - 14 
⇒ c = 15

Now, total number of people surveyed is 300.
∴ a + b + c + d + e + f + g = 300
⇒ 30 + 80 + 15 + d + 110 + 29 + 10 = 300
⇒ d = 26

∴ The final Venn diagram is:
 

​​​​​​​

∴ Number of people who subscribed for exactly one newspaper = c + g = 15 + 10 = 25.

Hence, 25.

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