Choose the correct statement for the distance between A and B if the representative fraction for the same is 1:5000.

If the distance on map between A and B is 2 inches, then the distance between them is 10,000km.

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If the distance on map between A and B is 2 cm, then the distance between them is 10,000km.

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If the distance on map between A and B is 2 cm, then the distance between them is 10,000cm.

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If the distance on map between A and B is 3 cm, then the distance between them is 15,000m.

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Solution

The correct option is C If the distance on map between A and B is 2 cm, then the distance between them is 10,000cm.
A representative fraction is the ratio of distance on the map to distance on the ground. So, if distance between A and B is 2cm and the representative fraction for the same is 1:5000, then the distance between A and B is 2cm times 5000 which equals to 10,000cm.

Remember - in order to calculate the representative fraction, distance on the map and ground must be converted to the same units.

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