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Quantitative Comparison – Numberline, Absolute Value

p, q and r are three points on the real number line where q = .

Quantity A:
Quantity B:

Explanation:
q =
qp + qr = 2pr
Divide both sides of the equation by pqr
(1/r) + (1/p) = (2/q)
[(1/r) + (1/p)]/2 = (1/q)< /div>
Thus we see that (1/q) is the arithmetic mean of (1/r) and (1/p).
Thus will be greater than .
Quantity A is greater.

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