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Is w + h 4 positive? 1) h is positive 2) w is positive

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Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 15 Jun 2016, 03:15
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Is \(w + h^4\) positive?
1) h is positive
2) w is positive
[Reveal] Spoiler: OA

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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 15 Jun 2016, 03:19
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AbdurRakib wrote:
Is \(w + h^4\) positive?
1) h is positive
2) w is positive


Key to this question is to understand that \(h^4\) is always positive.

Then Statement (1) cannot guarantee that \(w + h^4\)

Say h is 1 and w is -2, then given statement is negative.
say h is 2 and w is 1 then given statement is positive.

So not sufficient.


Statement (2) says w is positive. Now \(h^4\) is always positive

so the combined expression will be positive.

Sufficient.

B is the answer.

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Is w + h4 positive? [#permalink]

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New post 04 Jul 2016, 00:50
Is w + h^4 positive?
1) h is positive
2) w is positive
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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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AbdurRakib wrote:
Is \(w + h^4\) positive?
1) h is positive
2) w is positive


We need to determine whether w+h^4 is positive. First, we know that h^4 is always non-negative.

Let’s look at the 2 possibilities for the value of w+h^4:

1) If w is positive, then (w + h^4) will be positive.

2) If w is negative, then h^4 must be greater than |w| in order for (w + h^4) to be positive. For example if w = -4, then h^4 must be greater than 4 in order for (w + h^4) to be positive.

Statement One Alone:

h is positive

Since we already know that h^4 is positive and do not have any information about w, we do not have enough information to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

w is positive

Since we know that h^4 is non-negative, also knowing that w is positive is enough information to determine that w + h^4 is positive. Statement two is sufficient to answer the question.

Answer: B
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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 12 Dec 2016, 14:24
Is w+h^4
For any sign of h, h^4 is always positive
3 cases for w
1, If W is negative, h should be greater to result positive
2, W and H positive
3, If W is negative and greater than h , negative result

1, Insufficient
2, Sufficient

B
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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 13 Dec 2016, 04:55
Here is my solution:

Question: Is \(w+h^{4}\) positive ?

Statement 1: h is positive.

\(h^{4}\) is always positive (even power).
So we need to know the value of w.
Not sufficient.

Statement 2: w is positive

Both w and h are positive.
Sufficient.

Hence B.
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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 28 Jul 2017, 15:54
Is \(w + h^4\) positive?

h^4 is always positive value regardless of value of h

1) h is positive

Let h =1 & w=0........Answer is Yes

Let h =1 & w=-10........Answer is No

Insufficient

2) w is positive

h^4 + w =positive +Positive =Positive value..............Answer is Yes

Sufficient

Answer: B

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Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

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New post 18 Sep 2017, 03:56
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As h has an even power which is 4 it will always turn out to be positive even if h is negative so the deciding factor here is w. Hence answer is B

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Re: Is w + h 4 positive? 1) h is positive 2) w is positive   [#permalink] 18 Sep 2017, 03:56
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