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Directions: Answer the following question by selecting the most appropriate option.
On a map, half cm shows 125 km on the ground. If two cities are actually 2000 km apart on the ground, then the distance between them on the map is
  • a)
    4 cm
  • b)
    6 cm
  • c)
    8 cm
  • d)
    10 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Answer the following question by selecting the most approp...
Half cm on the map implies 125 km in reality.
This implies that 1 cm on the map implies 250 km in reality.
Or, 250 km actual distance is represented by a distance of 1 cm on the map.
Thus, a distance of 2000 km should be represented by a distance of (2000/250) cm on the map = 8 cm
Hence, option (3) is correct.
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Community Answer
Directions: Answer the following question by selecting the most approp...
Explanation:
To find the distance between two cities on the map, we can use the ratio of the scale given in the question.

Given: Half cm on the map corresponds to 125 km on the ground.

Let's calculate the scale:
1 cm on the map corresponds to 125 km on the ground.
Therefore, 2 cm on the map corresponds to 2 * 125 km = 250 km on the ground.

We need to find the distance between the two cities, which is 2000 km on the ground.

Calculation:
Using the scale, we can set up a proportion to find the distance on the map.

Distance on the map / Distance on the ground = Scale

Let's represent the distance on the map as 'x' cm.

x cm / 2000 km = 1 cm / 125 km

Cross-multiplying, we get:

x cm = (2000 km * 1 cm) / 125 km

Simplifying, we get:

x cm = 2000/125 cm

x cm = 16 cm

Therefore, the distance between the two cities on the map is 16 cm.

Answer:
The correct answer is option C) 8 cm.

Explanation:
Apologies for the mistake in the previous explanation. Let's recalculate the distance on the map:

Given: Half cm on the map corresponds to 125 km on the ground.

To find the distance between two cities on the map, we can use the scale given in the question.

Let's calculate the scale:
1 cm on the map corresponds to 125 km on the ground.
Therefore, 2 cm on the map corresponds to 2 * 125 km = 250 km on the ground.

We need to find the distance between the two cities, which is 2000 km on the ground.

Calculation:
Using the scale, we can set up a proportion to find the distance on the map.

Distance on the map / Distance on the ground = Scale

Let's represent the distance on the map as 'x' cm.

x cm / 2000 km = 1 cm / 125 km

Cross-multiplying, we get:

x cm = (2000 km * 1 cm) / 125 km

Simplifying, we get:

x cm = 16000/125 cm

x cm = 128 cm

Therefore, the distance between the two cities on the map is 128 cm.

Answer:
The correct answer is option C) 8 cm.
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Directions: Answer the following question by selecting the most appropriate option.On a map, half cm shows 125 km on the ground. If two cities are actually 2000 km apart on the ground, then the distance between them on the map isa)4 cmb)6 cmc)8 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
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Solutions for Directions: Answer the following question by selecting the most appropriate option.On a map, half cm shows 125 km on the ground. If two cities are actually 2000 km apart on the ground, then the distance between them on the map isa)4 cmb)6 cmc)8 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CTET & State TET. Download more important topics, notes, lectures and mock test series for CTET & State TET Exam by signing up for free.
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