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

 It is currently 21 Jan 2019, 18:46

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

# Is the two digit integer k less than or equal to 19?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 07 Apr 2018
Posts: 105
Is the two digit integer k less than or equal to 19?  [#permalink]

### Show Tags

08 Jun 2018, 04:16
2
00:00

Difficulty:

45% (medium)

Question Stats:

50% (01:04) correct 50% (01:35) wrong based on 48 sessions

### HideShow timer Statistics

Is the two digit integer k less than or equal to 19?

(1) K^2 > 400

(2) K^3 < 8000

_________________

Manager
Joined: 24 Jun 2013
Posts: 132
Location: India
Schools: ISB '20
Re: Is the two digit integer k less than or equal to 19?  [#permalink]

### Show Tags

08 Jun 2018, 09:39
PP777 wrote:
Is the two digit integer k less than or equal to 19?

(1) K^2 > 400

(2) K^3 < 8000

stat 1 ==> remember the notion $$\sqrt{x^2}= |x|$$

so taking sqrt , stat 1 becomes |K|>20 which states two cases either K > 20 or K < -20 , two solution hence insuff

Stat2 ==> taking cube rt , we have k< 20 hence the answer ... suff
_________________

If this post helped you learn something pls give kudos

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 951
WE: Supply Chain Management (Energy and Utilities)
Re: Is the two digit integer k less than or equal to 19?  [#permalink]

### Show Tags

08 Jun 2018, 19:54
PP777 wrote:
Is the two digit integer k less than or equal to 19?

(1) K^2 > 400

(2) K^3 < 8000

Given, K is a two digit integer.

Question stem:- Is K<19 or K=19 ? (Y/N)

St1, $$K^2$$>$$20^2$$
Or, |K|>20
So when K>20, Is K<19 or K=19? No
when K<-20, Is Is K<19 or K=19? Yes

So, St1 is not sufficient.

St2, K$$^3 < 20^3$$
Or, $$K^3-20^3<0$$
Or, $$(K-20)(K^2+20K+20^2)<20$$
Or, (K-20)<0 or K<20 (since $$K^2+20K+20^2$$ yields imaginary roots, hence we are not interested)
hence K<20. So, two digit integer K is less than or equal to 19.

So st2 is sufficient.

Ans B
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: Is the two digit integer k less than or equal to 19? &nbs [#permalink] 08 Jun 2018, 19:54
Display posts from previous: Sort by