Question : The pie chart given below gives the measures of the central angles of the sectors that reflect the number of flats in 6 different towers in a housing society with respect to the total flats in these 6 towers taken together. If the difference between the number of flats in T2 and in T6 is 66, then what is the total number of flats in the 6 towers taken together?
Option 1: 1140
Option 2: 960
Option 3: 1220
Option 4: 1080
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Correct Answer: 1080
Solution : Let the total number of flats be $x$. According to the question, $\frac{60}{360}x−\frac{38}{360}x=66$ ⇒ $x=\frac{66×360}{22}$ ⇒ $x=1080$ Hence, the correct answer is 1080.
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