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

 It is currently 17 Feb 2019, 12:07

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Valentine's day SALE is on! 25% off.

February 18, 2019

February 18, 2019

10:00 PM PST

11:00 PM PST

We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

# If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, wh

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52906
If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, wh  [#permalink]

### Show Tags

06 Sep 2018, 00:35
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:59) correct 26% (02:18) wrong based on 34 sessions

### HideShow timer Statistics

If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, what is q?

A. 6
B. 5
C. 4
D. 3
E. 2

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, wh  [#permalink]

### Show Tags

06 Sep 2018, 01:05
Bunuel wrote:
If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, what is q?

A. 6
B. 5
C. 4
D. 3
E. 2

Use The triangle inequality rule : the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

the length of a side of a triangle is less than the sum of the lengths of the other two sides
so $$q^2<\frac{7}{11}+\frac{73}{8}........~.q^2<9+1.....or.....q^2<\frac{859}{88}........q^2<10.......q<4$$
$$q^2>\frac{73}{8}-\frac{7}{11}......q^2>9-1.............q^2>8......q>2$$

Only possibility is 3

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Retired Moderator
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 989
Location: India
GPA: 3.64
Re: If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, wh  [#permalink]

### Show Tags

06 Sep 2018, 08:36
Bunuel wrote:
If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, what is q?

A. 6
B. 5
C. 4
D. 3
E. 2

7/11 ~ 0.6
73/8 ~ 9.1
The sum of any two sides of a triangle is greater than the third side and the difference of any two sides is lesser than the third side.
$$q^2$$ cannot be equal to 1,4.
If $$q^2$$=9, sum of any two sides > third side, similarly, difference of any two sides < third side.
q=3
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Re: If 7/11, 73/8, and q^2 are sides of a triangle and q is an integer, wh   [#permalink] 06 Sep 2018, 08:36
Display posts from previous: Sort by