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Q.

A city has two main roads which cross each other at the centre of the city. These two roads are along the North–South direction and East–West direction.All the other streets of the city run parallel to these roads and are 200m apart. There are many cross– streets in your model. A particular cross–street is made by two streets, one running in the North – South direction and another in the East – West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North – South direction and 5th in the East – West direction meet at some crossing, then we will call this cross–street (2,5).


Is it true that using this convention, we can find how many cross – streets can be referred to as (4, 3)?


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a

True

b

False 

answer is A.

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Detailed Solution

A city has two main roads which cross each other at the centre of the city which are shown as the main axes. These two roads are along the North–South direction and East–West direction.
All the other streets of the city run parallel to these roads and are 200m apart.
There are 5 streets in each direction.
We draw the following model using 1cm = 200 m in the following graph.
In this graph the five unique lines represent the respective five streets on the graph.
Question ImageWe have the following observation.
We know that the x–coordinate of the point (4, 3) is 4. This represents the street running in the North–South. Also, the y–coordinate of the point which is 3 represents the street running in East–West.
Thus, we can conclude that a unique cross–street is shown by the point (4, 3).
Hence, the given statement is true, a unique cross–street is shown by the point (4, 3).
As we find that one cross–street can be referred to as (4, 3), the correct option is 1.
 
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