Question

# On a number line, points U, V and A are such that d(U, A) = 215 units, d(V, A) = 140 units and d(U, V) = 75 units. Which of the points is between the other two?

A
Point U is between the points V and A.
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B
Point V is between the points U and A.
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C
Point A is between the points U and V.
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D
None of the above
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Solution

## The correct option is B Point V is between the points U and A.Given, d(U, A) = 215 units d(V, A) = 140 units d(U,V) = 75 units d(U, A) = 215 and d(U, V) + d(V, A) = 75 + 140 = 215 ∴ d(U,A) = d(U, V) + d(V, A) Hence, point V is between the points U and A.

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