Question

Name five large cities in India. Find their population. Also, find the distance in kilometers between each pair of these cities.

Answer 1

Hint: The distance between city A to city B is the same as city B to city A .

Complete step-by-step answer:
The five largest cities in India by area are
1. Gwalior with area $780{\text{K}}{{\text{m}}^2}$
2. Faridabad with area $742.9{\text{K}}{{\text{m}}^2}$
3. Gurugram with area $732{\text{K}}{{\text{m}}^2}$
4. Bengaluru with area $709{\text{K}}{{\text{m}}^2}$
5. Visakhapatnam with area $698{\text{K}}{{\text{m}}^2}$

The populations of each of the five cities given above are
1. Gwalior : 1,378,000
2. Faridabad : 42,456,000
3. Gurugram : 1,514,085
4. Bengaluru : 12,327,000
5. Visakhapatnam : 2,175,000

Now, we will list the distances between each pair of these cities. We are starting with Gwalior and once the distances of all other cities are listed from Gwalior. We will take another city (e.g. Faridabad) and repeat the same procedure, but this time we will not include the distance of the city from Gwalior (i.e. the distance of Faridabad from Gwalior). This is done because we have already listed the distance of the city from Gwalior. And similarly we will write the distances of each pair of cities.

Let’s begin with Gwalior, the distances of the cities from Gwalior are
1. Faridabad : 281.6 Km
2. Gurugram : 296.4 Km
3. Bengaluru : 1,708.8 Km
4. Visakhapatnam : 1,282.7 Km

So, we have listed the distances of each given city from Gwalior. Now, proceeding ahead we will list the distances of the given cities from Faridabad. We will not list the distance of Faridabad from Gwalior , as it is already listed above.
1. Gurugram : 35 Km
2. Bengaluru : 2,102.1 Km
3. Visakhapatnam : 1,562.8 Km

Till now, we have listed the distances of given cities from Gwalior as well as from Faridabad. Next, we will list the distances of each city from Gurugram. But, the distance of Gwalior and Faridabad from Gurugram has already been listed. So, we will skip them.
1. Bengaluru : 2005.8 Km
2. Visakhapatnam : 1,577.7 Km

We have listed the distance of each city from Gwalior, Faridabad and Gurugram. Now, let’s write distances from Bengaluru. But again, we don’t need to list the distances from Gwalior , Faridabad or Gurugram.
So, we have
3. Visakhapatnam : 1,014.0 Km

Note: In these types of questions, the key concept to remember is the distances between the cities are constant. Hence, there is no need to make an ordered pair. Any pair can be made without repeating the same two cities together as a pair.