On a certain map of India the actual distance of 1450 km between two cities Delhi and Kolkata is shown as 5 cm . What scale is used to draw the map?
(a)$1: 15 \times 10^{6}$
(b)$1: 20 \times 10^{6}$
(c)$1: 25 \times 10^{6}$
(d)1 : $29 \times 10^{6}$
Answer
Answer (as printed): D
Explanation
5 cm on the map represents 1450 km. $$\therefore 1 \mathrm{cm} \text { on the map represents }\left(\frac{1450}{5}\right) \mathrm{km}=290 \mathrm{km} .$$ Hence, the scale is 1 cm : 290 km i.e., 1 : $29 \times 10^{6}$. $$\left[\because 290 \mathrm{km}=\left(29 \times 10^{6}\right) \mathrm{cm}\right]$$