On a 2 km road, a total number of 201 trees are planted on each side of the road at equal distances. How many such trees in all will be planted on both sides of a 50 km road such that the distance between two consecutive trees is the same as that of the consecutive trees on the 2 km road?
(a)501
(b)5000
(c)5001
(d)5025
(e)5050
Answer
Answer (as printed): C
Explanation
Gap between 2 consecutive trees $=\left(\frac{2000}{200}\right) \mathrm{m}=10 \mathrm{m}$. [ $\because 201$ trees have 200 gaps between them] ∴ $\quad$ Required number of trees $=\left(\frac{50 \times 1000}{10}+1\right)$ $==(5000+1)=5001$.