Question 142

Study the pie-chart and answer the question.
Distribution (degree-wise) of the number of employees of a company working in 5 departments.A,B,C,D and E


If the total number of employees working in departments A and B exceeds the number of employees in department C by x, then x lies between:

Solution

Department A degree = $$79.2^\circ $$

B = $$ 57.6 ^\circ $$

C = $$ 122.4 ^ \circ $$

According to question$$ A + B = C + x$$

$$ \Rightarrow 79.2^\circ + 57.6^\circ = 122.4 ^\circ + x $$ 

$$\Rightarrow x = 136.8 ^\circ - 122.4 ^ \circ $$

$$\Rightarrow x = 14.4^\circ $$

the $$x  value = \dfrac{14.4}{360}\times 3200 $$

$$ \Rightarrow  x = 128 $$ 

Ans $$x = 128$$ lies between 120 and 140  


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