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# GMAT Practice Test 1

Author Message
Senior Manager
Joined: 19 Sep 2004
Posts: 367

Kudos [?]: 6 [0], given: 0

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13 May 2007, 16:48
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi All,

Source of the question is: GMAT Prep Test 1

If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x

2) x^2 < 1/x < 2x

3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

Thanks
Saurabh Malpani

Kudos [?]: 6 [0], given: 0

Senior Manager
Joined: 03 May 2007
Posts: 270

Kudos [?]: 14 [0], given: 0

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13 May 2007, 17:07

if you place an integer none of the equations will work, but if you place a fraction (1/2 for example) equation 1 will work

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Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 157 [0], given: 0

Re: GMAT Practice Test 1 [#permalink]

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13 May 2007, 21:13
saurabhmalpani wrote:
Hi All,

Source of the question is: GMAT Prep Test 1

If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x
2) x^2 < 1/x < 2x
3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

Thanks
Saurabh Malpani

4) I and 2 only

if x =0.1

x^2 2x 1/x
0.0100 0.2000 10.0000

if x = 0.94
x^2 1/x 2x
0.8836 1.0638 1.8800

Kudos [?]: 157 [0], given: 0

Senior Manager
Joined: 19 Sep 2004
Posts: 367

Kudos [?]: 6 [0], given: 0

Re: GMAT Practice Test 1 [#permalink]

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15 May 2007, 08:39

Thanks
Saurabh Malpani

Himalayan wrote:
saurabhmalpani wrote:
Hi All,

Source of the question is: GMAT Prep Test 1

If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x
2) x^2 < 1/x < 2x
3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

Thanks
Saurabh Malpani

4) I and 2 only

if x =0.1

x^2 2x 1/x
0.0100 0.2000 10.0000

if x = 0.94
x^2 1/x 2x
0.8836 1.0638 1.8800

Kudos [?]: 6 [0], given: 0

Intern
Joined: 27 Feb 2007
Posts: 7

Kudos [?]: [0], given: 0

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17 May 2007, 03:32
If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x
2) x^2 < 1/x < 2x
3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

another way is to say, 2x will never be greater than x^2. only for x=2, 2x=x^2 and for all other values 2x will be always less than x^2, so we can staright away cancel condition 1 and 2. for x^2 < 1/x will fail when x=1 and satisfies when x=.5 so the condition 3 also fails.

This is my first try in this forum please correct me if my explanation is not good.

H

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Senior Manager
Joined: 03 May 2007
Posts: 270

Kudos [?]: 14 [0], given: 0

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17 May 2007, 07:07
If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x
2) x^2 < 1/x < 2x
3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

another way is to say, 2x will never be greater than x^2. only for x=2, 2x=x^2 and for all other values 2x will be always less than x^2, so we can staright away cancel condition 1 and 2. for x^2 < 1/x will fail when x=1 and satisfies when x=.5 so the condition 3 also fails.

This is my first try in this forum please correct me if my explanation is not good.

H

It'd s good try, but you didn't take under consideration the fractions. take x=1/2

Kudos [?]: 14 [0], given: 0

Intern
Joined: 27 Feb 2007
Posts: 7

Kudos [?]: [0], given: 0

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18 May 2007, 02:26
yes, you are right

Thanks for correcting

Sergey_is_cool wrote:
If x is positive which of the following could be correct ordering of 1/x, 2x, x^2.
1) x^2 < 2x < 1/x
2) x^2 < 1/x < 2x
3) 2x < x^2 < 1/x

Choices are:

1) None
2) 1 Only
3) 3 Only
4) I and 2 only
5) 1, 2, 3

another way is to say, 2x will never be greater than x^2. only for x=2, 2x=x^2 and for all other values 2x will be always less than x^2, so we can staright away cancel condition 1 and 2. for x^2 < 1/x will fail when x=1 and satisfies when x=.5 so the condition 3 also fails.

This is my first try in this forum please correct me if my explanation is not good.

H

It'd s good try, but you didn't take under consideration the fractions. take x=1/2

Kudos [?]: [0], given: 0

18 May 2007, 02:26
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