Question Details

The points A and B represent numbers on a number line as shown below : 

The distance between the points A and B is—

Options

A

29000 units

B

84000 units

C

22 units

D

22000 units

Show Answer

Correct Answer :

Option D

22000 units

Solution :

Correct Option: 22000 units

To find the distance between points A and B, let us first determine the value corresponding to each division (unit gap) on the number line.

Step 1: Find the value of 1 division on the number line

From the given image of the number line, we observe the marked numbers 25000 and 39000.

Counting the intervals (dots/spaces) between 25000 and 39000, there are 7 divisions.

Difference between 39000 and 25000=39000-25000=14000

Value of 1 division=140007=2000 units

Step 2: Find the positions of points A and B

Point A is located 3 divisions to the right of 25000:

Position of A=25000+(3×2000)=25000+6000=31000

Point B is located 7 divisions to the right of 39000 (or 4 divisions to the left of 61000):

Position of B=39000+(7×2000)=39000+14000=53000

Step 3: Calculate the distance between points A and B

Alternatively, counting the number of divisions between A and B, there are 11 divisions.

Distance between A and B=Position of B-Position of A

Distance=53000-31000=22000 units

Therefore, the distance between the points A and B is 22000 units.

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