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Question

# A map is to be drawn for two cities which are 40 km apart. A scale of 1cm : 1000 m is used. What is the distance between the two cities in cm on the map?

A
40 cm
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B
20 cm
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C
60 cm
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D
100 cm
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Solution

## The correct option is A 40 cmScale of the map = 1cm : 1000m Distance between the two cities = 40 km = 40,000 m let, the distance on map be c cm Since the given data is in proportion, we have 1 : 1000 :: c : 40000 Product of means = Product of extremes ⇒ 1000 × c = 1 × 40000 ⇒ c = 400001000 = 40 So, the distance between the two cities on the map is 40 cm.

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