Question Details

The points A and B represent numbers on a number line as shown below :
25000 A 39000 B 61000
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 :

The correct option is 22000 units.


Let us analyze the given number line and determine the values of points A and B step-by-step.


Step 1: Understand the given positions on the number line.
The sequence of points on the number line is given as:
25000, A, 39000, B, 61000


Step 2: Find the value of point A.
Point A is situated directly in the middle between 25000 and 39000.
The total distance between 25000 and 39000 is:

39000-25000=14000


Since there are 2 equal divisions (gaps) between 25000 and 39000:
Each division represents:

140002=7000


Therefore, the value of point A is:

A=25000+7000=32000


Step 3: Find the value of point B.
Point B is situated directly in the middle between 39000 and 61000.
The total distance between 39000 and 61000 is:

61000-39000=22000


Since there are 2 equal divisions between 39000 and 61000:
Each division represents:

220002=11000


Therefore, the value of point B is:

B=39000+11000=54000


Step 4: Calculate the distance between point A and point B.
The distance between A and B is given by subtracting the value of point A from point B:

Distance=B-A

Distance=54000-32000=22000 units


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

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