It is currently 23 Oct 2017, 12:21

### 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 the length of the diagonal of the rectangle bigger than root(6) ?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 Feb 2009
Posts: 13

Kudos [?]: 32 [0], given: 13

Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

01 Nov 2010, 05:41
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

50% (00:47) correct 50% (00:48) wrong based on 154 sessions

### HideShow timer Statistics

Is the length of the diagonal of the rectangle bigger than $$\sqrt{6}$$ ?

(1) The shorter side of the rectangle is 2.
(2) The longer side of the rectangle is 3.

[Reveal] Spoiler:
Hi,

In Geomtry I, question 3 the DS question is:

Question: The OA assumes sides as integers, otherwise it should be another answer. Why is assuming integers and not decimals?

Thank you,
[Reveal] Spoiler: OA

Kudos [?]: 32 [0], given: 13

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7677

Kudos [?]: 17405 [1], given: 232

Location: Pune, India
Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

01 Nov 2010, 06:02
1
KUDOS
Expert's post
You don't need to assume sides as integers.
Statement (1) The shorter side of the rectangle is 2 which means the greater side will be more than 2. Let us say it is just a little more than 2, say 2.01.
The diagonal will be $$\sqrt{{2^2 + (2.01)^2}} = \sqrt{8.04}.$$ This is definitely greater than $$\sqrt{6}$$. So it doesn't matter what the greater side is, the diagonal will be greater than root 6. Statement (1) is sufficient.
Statement (2) The greater side of the rectangle is 3. The smaller side can be as small as possible, let's say a little more than 0. Still, the diagonal will be $$\sqrt{{3^2 + (0.01)^2}} = \sqrt{9.0001}.$$ This is definitely greater than $$\sqrt{6}$$. Therefore, statement (2) is sufficient.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17405 [1], given: 232

Intern
Joined: 07 Feb 2009
Posts: 13

Kudos [?]: 32 [0], given: 13

Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

01 Nov 2010, 06:06
VeritasPrepKarishma wrote:
You don't need to assume sides as integers.
Statement (1) The shorter side of the rectangle is 2 which means the greater side will be more than 2. Let us say it is just a little more than 2, say 2.01.
The diagonal will be $$\sqrt{{2^2 + (2.01)^2}} = \sqrt{8.04}.$$ This is definitely greater than $$\sqrt{6}$$. So it doesn't matter what the greater side is, the diagonal will be greater than root 6. Statement (1) is sufficient.
Statement (2) The greater side of the rectangle is 3. The smaller side can be as small as possible, let's say a little more than 0. Still, the diagonal will be $$\sqrt{{3^2 + (0.01)^2}} = \sqrt{9.0001}.$$ This is definitely greater than $$\sqrt{6}$$. Therefore, statement (2) is sufficient.

Hi Karishma,

Once posted, I realized it was talking about the diagonal, while I was thinking in the area.
Apologize for my mistake.

Thanks!

Kudos [?]: 32 [0], given: 13

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16535

Kudos [?]: 274 [0], given: 0

Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

30 Apr 2016, 14:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 274 [0], given: 0

Senior Manager
Joined: 02 Dec 2014
Posts: 373

Kudos [?]: 90 [0], given: 349

Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

23 Jul 2016, 14:41
Is this really 700+ question?
_________________

"Are you gangsters?" - "No we are Russians!"

Kudos [?]: 90 [0], given: 349

Senior Manager
Joined: 02 Mar 2012
Posts: 360

Kudos [?]: 89 [1], given: 4

Schools: Schulich '16
Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

24 Jul 2016, 01:34
1
KUDOS
Konstantin1983 wrote:
Is this really 700+ question?

maybe during exam condition it can be.

Kudos [?]: 89 [1], given: 4

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129491 [0], given: 12201

Re: Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

24 Jul 2016, 02:24
hsbinfy wrote:
Konstantin1983 wrote:
Is this really 700+ question?

maybe during exam condition it can be.

The difficulty level is calculated automatically based on the timer stats from the users which attempted the question.
_________________

Kudos [?]: 129491 [0], given: 12201

CEO
Joined: 17 Jul 2014
Posts: 2605

Kudos [?]: 398 [0], given: 184

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Is the length of the diagonal of the rectangle bigger than root(6) ? [#permalink]

### Show Tags

15 Aug 2017, 15:29
i'm sure it's not a 700 level question. I solved it just by applying logic...

1. if short one is 2, then we can minimize the longer one to be 2 for example too... a^2 + b^2 = c^2. so we have a=2, b=2, and c^2 = 8. c is sqrt(8). we can give only 1 answer so sufficient.
2. if the bigger one is 3, the other one doesn't matter, as 3^2 = 9. and 9+ smth squared will always be bigger than sqrt(6)... sufficient.

Kudos [?]: 398 [0], given: 184

Is the length of the diagonal of the rectangle bigger than root(6) ?   [#permalink] 15 Aug 2017, 15:29
Display posts from previous: Sort by