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$ \left( a \right){\text{ 20}} $

$ \left( b \right){\text{ 25}} $

$ \left( c \right){\text{ 30}} $

$ \left( d \right){\text{ 33}} $

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So first of all we will see the values given to us. Since it is given that the number of apples is $ 100 $ .

And also it is given that $ 1 $ adults get $ 3 $ apples and the $ 3 $ children get $ 1 $ apples.

So from this, the ratio of adult and children will be as $ 3:1 $ , which means in total we have $ 4 $

So, the number of apples for an adult will be given by

$ \Rightarrow \dfrac{3}{4} \times 100 $

And on solving the above fraction, we get

$ \Rightarrow 75 $

Since $ 3 $ apple is for $ 1 $ adults.

Therefore, $ 75 $ apple will be for $ \dfrac{{75}}{3} $

And on solving the fraction by dividing it, we get

$ \Rightarrow 25 $

Hence, the number of the adult monkey will be $ 25 $

Therefore, the option $ \left( b \right) $ is correct.