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# g and h are positive integers such that the value of g is tw

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g and h are positive integers such that the value of g is tw [#permalink]  03 Jun 2017, 01:52
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Question Stats:

40% (00:36) correct 60% (01:13) wrong based on 25 sessions

g and h are positive integers such that the value of g is twice the value of h.

 Quantity A Quantity B The ratio of g to 1 The ratio of 1 to h

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: g and h are positive integers such that the value of g is tw [#permalink]  27 Sep 2017, 05:00
Given that g = 2h, column A is equal to 2h/1 and column B is equal to 1/h. Then, since h is a positive integer, A is always greater than B.
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Re: g and h are positive integers such that the value of g is tw [#permalink]  25 Jan 2019, 00:51
Hello, I am a bit confuse. I started with h=0.5g instead of g=2h, i think they are the same.
Quantity A is g/1, Quantity B is 1/h, which in my case is also equivalent to 1/0.5g or 2/g (Am i right?)
If g is 2, A will be 2, B will be 1 (A is greater)
If g is 1, A will be 1, B will be 2 (B is greater).

Why isn't the answer D then?
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Re: g and h are positive integers such that the value of g is tw [#permalink]  25 Jan 2019, 01:09
Expert's post
jl0501 wrote:
Hello, I am a bit confuse. I started with h=0.5g instead of g=2h, i think they are the same.
Quantity A is g/1, Quantity B is 1/h, which in my case is also equivalent to 1/0.5g or 2/g (Am i right?)
If g is 2, A will be 2, B will be 1 (A is greater)
If g is 1, A will be 1, B will be 2 (B is greater).

Why isn't the answer D then?

You took the equivalence in decimal and that i swhere you went wrong..

You have to ensure h or 0.5g is a positive integer.
When you take g=1, h becomes 0.5*1=0.5, which i snot positive value..

g=2h and h a positive integer means $$g\geq{2}$$
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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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Re: g and h are positive integers such that the value of g is tw [#permalink]  25 Jan 2019, 04:16
Thank you. I finally get it now!
Re: g and h are positive integers such that the value of g is tw   [#permalink] 25 Jan 2019, 04:16
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