It is currently 21 Oct 2017, 05:27

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 570

Kudos [?]: 2688 [0], given: 220

GPA: 2.81
Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

### Show Tags

15 Jun 2016, 03:15
3
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:21) correct 15% (00:16) wrong based on 507 sessions

### HideShow timer Statistics

Is $$w + h^4$$ positive?
1) h is positive
2) w is positive
[Reveal] Spoiler: OA

_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Kudos [?]: 2688 [0], given: 220

Senior Manager
Joined: 18 Jan 2010
Posts: 257

Kudos [?]: 149 [1], given: 9

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

### Show Tags

15 Jun 2016, 03:19
1
KUDOS
1
This post was
BOOKMARKED
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.

Kudos [?]: 149 [1], given: 9

Manager
Joined: 04 Feb 2014
Posts: 203

Kudos [?]: 114 [0], given: 157

GPA: 3
WE: Project Management (Manufacturing)
Is w + h4 positive? [#permalink]

### Show Tags

04 Jul 2016, 00:50
Is w + h^4 positive?
1) h is positive
2) w is positive
_________________

Kudos if you like my post

Kudos [?]: 114 [0], given: 157

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 129091 [0], given: 12194

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

### Show Tags

04 Jul 2016, 00:57
Expert's post
1
This post was
BOOKMARKED
anurag16 wrote:
Is w + h^4 positive?
1) h is positive
2) w is positive

Merging topics. please refer to the discussion above.
_________________

Kudos [?]: 129091 [0], given: 12194

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 847 [1], given: 3

Location: United States (CA)
Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

### Show Tags

06 Dec 2016, 08:19
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
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.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 847 [1], given: 3

Senior Manager
Joined: 25 Mar 2013
Posts: 275

Kudos [?]: 33 [0], given: 101

Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: Is w + h 4 positive? 1) h is positive 2) w is positive [#permalink]

### Show Tags

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
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Kudos [?]: 33 [0], given: 101

Intern
Joined: 05 Sep 2016
Posts: 4

Kudos [?]: 1 [0], given: 69

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

### Show Tags

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.
_________________

Never stop dreaming...!!!

Kudos [?]: 1 [0], given: 69

VP
Joined: 26 Mar 2013
Posts: 1260

Kudos [?]: 286 [0], given: 163

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

### Show Tags

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

Kudos [?]: 286 [0], given: 163

Intern
Status: Don't watch the clock,Do what it does, Keep Going.
Joined: 10 Jan 2017
Posts: 46

Kudos [?]: 17 [1], given: 45

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

### Show Tags

18 Sep 2017, 03:56
1
KUDOS
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

Kudos [?]: 17 [1], given: 45

Re: Is w + h 4 positive? 1) h is positive 2) w is positive   [#permalink] 18 Sep 2017, 03:56
Display posts from previous: Sort by