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# n > 1

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n > 1 [#permalink]  16 Jun 2018, 10:21
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94% (00:36) correct 5% (00:35) wrong based on 136 sessions
$$n > 1$$

 Quantity A Quantity B $$\frac{n}{n+1} +1$$ $$1 - \frac{1}{n+1}$$

A)The quantity in Column A is greater.
B)The quantity in Column 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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Kudos [?]: 785 [1] , given: 88

Re: n > 1 [#permalink]  21 Jun 2018, 02:03
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KUDOS
given n>1. we know that n+1 is a +ve number hence, we can multiply both sides by n+1 we get,

Qty A
n + n+1 = 2n +1

Qty B
n+1 - 1 = n

Subtracting n from both sides we get,
Qty A = n+1
Qty B = 0

Subtracting 1 to both sides we get,
Qty A = n
Qty B = -1

Since Qty A is greater than 1; Qty A > Qty B
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Kudos [?]: 4777 [2] , given: 70

Re: n > 1 [#permalink]  21 Jun 2018, 06:47
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Expert's post
Carcass wrote:
$$n > 1$$

 Quantity A Quantity B $$\frac{n}{n+1} +1$$ $$1 - \frac{1}{n+1}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

We can also solve this question by applying some number sense

Given:
Quantity A: n/(n+1) + 1
Quantity B: 1 - 1/(n+1)

Since we're told that n > 1, we know that n is POSITIVE
So, n/(n+1) = POSITIVE/(POSITIVE + 1) = POSITIVE/POSITIVE = POSITIVE

Likewise, 1/(n+1) = 1/(POSITIVE + 1) = POSITIVE/POSITIVE = POSITIVE

So, our two quantities become:
Quantity A: POSITIVE + 1
Quantity B: 1 - POSITIVE

Let's apply some number sense to get:
Quantity A: some number that's greater than 1
Quantity B: some number that's less than 1

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Re: n > 1   [#permalink] 21 Jun 2018, 06:47
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