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QOTD#14 If w is a non-positive integer, which of the
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16 Nov 2016, 13:16

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Question Stats:

If w is a non-positive integer, which of the following must be positive?

Indicate all possible value

A. \(−3w\)

B. \(2w + 10\)

C. \(w^4\)

D. \(w^0\)

E. \(−w + 0.5\)

Indicate all possible value

A. \(−3w\)

B. \(2w + 10\)

C. \(w^4\)

D. \(w^0\)

E. \(−w + 0.5\)

Drill 4

Question: 7

Page: 294

Question: 7

Page: 294

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Re: QOTD#14 If w is a non-positive integer, which of the
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02 Jan 2017, 17:08

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sandy wrote:

If w is a non-positive integer, which of the following must be positive?

Indicate all possible values.

A. −3w

B. 2w + 10

C. w^4

D. w^0

E. −w + 0.5

Indicate all possible values.

A. −3w

B. 2w + 10

C. w^4

D. w^0

E. −w + 0.5

Drill 4

Question: 7

Page: 294

Question: 7

Page: 294

Show: :: OA

D and E

There's a slight problem with answer choice D.

If we let w = 0 (a non-positive integer), then w^0 = 0^0 and 0^0 is not defined (see page 141 of the Official Guide to the GRE - 3rd edition)

If 0^0 is not defined, we cannot say that 0^0 is positive.

So, there's only answer correct answer: E

Cheers,

Brent

Re: QOTD#14 If w is a non-positive integer, which of the
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16 Nov 2016, 13:23

1

Expert Reply

Explanation

Remember to Plug In multiple times for must be questions. First, use an easy number, such as −1, and try it in each choice. All of the answers are positive, so don’t eliminate anything. Can we eliminate anything by making w smaller? A number such as −10 will allow us to eliminate choice (B), but everything else is still positive. But can w = 0? Non-positive just means the number can’t be positive—it doesn’t mean it can’t be zero.

Hence options D and E are correct.

Note: Option B is negative if w is large enough.

Remember to Plug In multiple times for must be questions. First, use an easy number, such as −1, and try it in each choice. All of the answers are positive, so don’t eliminate anything. Can we eliminate anything by making w smaller? A number such as −10 will allow us to eliminate choice (B), but everything else is still positive. But can w = 0? Non-positive just means the number can’t be positive—it doesn’t mean it can’t be zero.

w = -1 | w = 0 | |

3w | 3 | 0 |

2w+10 | 8 | 10 |

w^4 | 1 | 0 |

w^0 | 1 | 1 |

-w+0.5 | 1.5 | 0.5 |

Hence options D and E are correct.

Note: Option B is negative if w is large enough.

Re: QOTD#14 If w is a non-positive integer, which of the
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06 Oct 2018, 02:16

why not A and C ? Please elucidate.

Re: QOTD#14 If w is a non-positive integer, which of the
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06 Oct 2018, 06:31

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Aroma wrote:

why not A and C ? Please elucidate.

A and C both are not positive when w=0.

Re: QOTD#14 If w is a non-positive integer, which of the
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10 Jun 2020, 10:28

Expert Reply

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Re: QOTD#14 If w is a non-positive integer, which of the
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19 Jul 2020, 01:41

GreenlightTestPrep wrote:

sandy wrote:

If w is a non-positive integer, which of the following must be positive?

Indicate all possible values.

A. −3w

B. 2w + 10

C. w^4

D. w^0

E. −w + 0.5

Indicate all possible values.

A. −3w

B. 2w + 10

C. w^4

D. w^0

E. −w + 0.5

Drill 4

Question: 7

Page: 294

Question: 7

Page: 294

Show: :: OA

D and E

There's a slight problem with answer choice D.

If we let w = 0 (a non-positive integer), then w^0 = 0^0 and 0^0 is not defined (see page 141 of the Official Guide to the GRE - 3rd edition)

If 0^0 is not defined, we cannot say that 0^0 is positive.

So, there's only answer correct answer: E

Cheers,

Brent

Is this GRE specific and does this still apply? Because 0^0 yields 1 on calculators.

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Joined: **10 Apr 2015 **

Posts: **6218**

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Re: QOTD#14 If w is a non-positive integer, which of the
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19 Jul 2020, 05:25

2

pprakash786 wrote:

Is this GRE specific and does this still apply? Because 0^0 yields 1 on calculators.

From the Official Guide to the GRE General Test:

Cheers,

Brent

Re: QOTD#14 If w is a non-positive integer, which of the
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21 Sep 2021, 03:36

2

Option D works well, but 0 raised to 0 is not defined, and 0 is non positive number as it is non positive and non negative. This leaves us with only option E

Re: QOTD#14 If w is a non-positive integer, which of the
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23 Jun 2024, 19:35

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Re: QOTD#14 If w is a non-positive integer, which of the [#permalink]

23 Jun 2024, 19:35
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