GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 11:47

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If a, b, c, d, and x are all nonzero integers, is the product ax • (bx

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Senior RC Moderator
User avatar
V
Joined: 02 Nov 2016
Posts: 4074
GPA: 3.39
If a, b, c, d, and x are all nonzero integers, is the product ax • (bx  [#permalink]

Show Tags

New post 21 Feb 2019, 11:16
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

69% (01:26) correct 31% (01:39) wrong based on 35 sessions

HideShow timer Statistics

If a, b, c, d, and x are all nonzero integers, is the product \(ax • (bx)^2 • (cx)^3 • (dx)^4\) negative?

(1) a < c < x < 0

(2) b < d < x < 0

_________________
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Re: If a, b, c, d, and x are all nonzero integers, is the product ax • (bx  [#permalink]

Show Tags

New post 21 Feb 2019, 11:53
As a,b,c,d, and x are non zero integers, the product \((bx)^2\) and \((dx)^4\) will always remain positive as the powers are positive.
The question reduces to whether \(ax*(cx)^3\) is negative, or \(a*c^3\) is negative? as \(x^4\) will always be positive.

From S1:

both a and c are negative, then \(a*c^3\) will be positive.
Hence S1 is sufficient.

From S2:

No info about a and c.
Insufficient.

A is the answer.
_________________
Press +1 Kudos If my post helps!
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1473
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
If a, b, c, d, and x are all nonzero integers, is the product ax • (bx  [#permalink]

Show Tags

New post 21 Feb 2019, 15:33
SajjadAhmad wrote:
If a, b, c, d, and x are all nonzero integers, is the product \(ax • (bx)^2 • (cx)^3 • (dx)^4\) negative?

(1) a < c < x < 0

(2) b < d < x < 0


Statement 1:

a<c<x<0.

a, c, x, all are negative.

ax = positive.

\((bx)^2\) = positive all time.

cx = positive as both c and x are negative.

\((cx)^3\) = positive.

\((dx)^4\) = positive all time.

So, all are positive . Product will be positive.

Statement A is sufficient.

Statement 2:

b < d < x < 0

b, d, x are negative.

*** No information about a and c.

\(( bx)^2\) = positive all time.

\((dx)^4\) = positive all time.

ax = positive if a is negative

ax = negative if a is positive.

\((cx)^3\) = negative if c is positive.

\((cx)^3\) = positive if c is negative.

Therefore different combination is possible.

Here ax and \((cx)^3\) are the keys to answer this question but we have 4 different choices that make the statement Insufficient to answer this question

NOT sufficient.

The best answer is A.
Intern
Intern
avatar
B
Joined: 17 Dec 2018
Posts: 6
Location: Canada
Concentration: General Management, Technology
GPA: 3.04
WE: Information Technology (Computer Software)
Re: If a, b, c, d, and x are all nonzero integers, is the product ax • (bx  [#permalink]

Show Tags

New post 21 Feb 2019, 16:08
Statement #1 suff as we only care about signs of odd powered terms.
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If a, b, c, d, and x are all nonzero integers, is the product ax • (bx  [#permalink]

Show Tags

New post 22 Feb 2019, 01:54
SajjadAhmad wrote:
If a, b, c, d, and x are all nonzero integers, is the product \(ax • (bx)^2 • (cx)^3 • (dx)^4\) negative?

(1) a < c < x < 0

(2) b < d < x < 0



GIVEN:
\(ax • (bx)^2 • (cx)^3 • (dx)^4\)

#1
a < c < x < 0
means all integers here are -ve, irrespective of their value ...

so
\(ax • (bx)^2 • (cx)^3 • (dx)^4\)
+*+*+*+ = +ve value
sufficient

#2 b < d < x < 0
so now since value of a and c are not given ,
\(ax • (bx)^2 • (cx)^3 • (dx)^4\)
can be +ve or -ve
Insufficient

IMO A
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: If a, b, c, d, and x are all nonzero integers, is the product ax • (bx   [#permalink] 22 Feb 2019, 01:54
Display posts from previous: Sort by

If a, b, c, d, and x are all nonzero integers, is the product ax • (bx

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne