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GRE 0 < p < q Quantity A: p/q Quantity B: 1/p

a) Quantity A is greater
b) Quantity B is greater
c) Both quantities are equal
d) Relationship cannot be determined

User Guycole
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1 Answer

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Final answer:

Given that 0 < p < q, Quantity A (p/q) is less than 1, and Quantity B (1/p) is greater than 1. Therefore, Quantity B is greater.

Step-by-step explanation:

The question asks us to compare two quantities given certain conditions. We are told 0 < p < q, which means that p is a positive number less than another positive number q. For Quantity A, we have p/q. Since both p and q are positive with p < q, dividing p by q will give us a fraction less than 1. For Quantity B, we have 1/p. Given that p is a positive number greater than 0, 1/p will always be greater than 1, as dividing 1 by a fraction yields a number larger than the original numerator.

Thus, without even specifying the exact values of p and q, we can confidently say Quantity B is greater because a fraction divided by a smaller fraction (which is what happens when you divide 1 by p) will be greater than a fraction that is p divided by a larger number q.

User Larry Kyrala
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