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Question

# On a number line, points A, B and C are such that d(A,B) = 81, d(B,C) = 54 and d(A,C) = 36. Which of the points is between the other two?

A
Point A is between point B and Point C.
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B
Point B is between point A and Point C.
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C
Point C is between point A and Point B.
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D
None of the above
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Solution

## The correct option is C Point C is between point A and Point B.Given, d(B,C) = 54 .....(i) d(A,C) = 36 .....(ii) d(A,B) = 81 ......(iii) We have d(B,C) + d(A,C) = 54 + 36 = 81 = d(A,B) [From (i), (ii) and (iii)] Hence, Point C is between point A and point B.

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