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

 It is currently 17 Feb 2019, 18:43

### 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!

# Is the area of the right angled triangle ABC>25?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 05 Jul 2014
Posts: 6
Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

Updated on: 05 Mar 2016, 04:05
2
1
00:00

Difficulty:

65% (hard)

Question Stats:

53% (01:44) correct 47% (01:45) wrong based on 121 sessions

### HideShow timer Statistics

Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Attachments

gmat question.png [ 4.54 KiB | Viewed 2771 times ]

Originally posted by seesharp on 05 Mar 2016, 02:42.
Last edited by ENGRTOMBA2018 on 05 Mar 2016, 04:05, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 02:54
4
1
seesharp wrote:
Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Hi,
whenever we see a restrictions, <,>, atleast etc, more often than not, the answer is possible through a statement..

1) AC = 6
Since, one of the sides is 6, the other can take any value
Insuff..

2) AB = 10
It is given that hyp is 10..
An isosceles right angle triangle will have max area..
so with Hyp as 10 , the max area possible is when the other two sides are equal..
so each side = Hyp/$$\sqrt{2}$$=10/$$\sqrt{2}$$..
area = 1/2 * 10/$$\sqrt{2}$$*10/$$\sqrt{2}$$
=>100/4=25..
so max area possible is 25..
so teh area of ABC can never be >25..
Suff

ANS B

_________________

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

##### General Discussion
Intern
Joined: 05 Jul 2014
Posts: 6
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 03:10
chetan2u wrote:
seesharp wrote:
Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Hi,
whenever we see a restrictions, <,>, atleast etc, more often than not, the answer is possible through a statement..

1) AC = 6
Since, one of the sides is 6, the other can take any value
Insuff..

2) AB = 10
It is given that hyp is 10..
An isosceles right angle triangle will have max area..
so with Hyp as 10 , the max area possible is when the other two sides are equal..
so each side = Hyp/$$\sqrt{2}$$=10/$$\sqrt{2}$$..
area = 1/2 * 10/$$\sqrt{2}$$*10/$$\sqrt{2}$$
=>100/4=25..
so max area possible is 25..
so teh area of ABC can never be >25..
Suff

ANS B

Thanks, so you assumed the triangle to be an isosceles to give the maximum possible area. That is great. How about if statement 2 was AB=11? What would the answer be then? C or E?
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 03:13
seesharp wrote:
chetan2u wrote:
seesharp wrote:
Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Hi,
whenever we see a restrictions, <,>, atleast etc, more often than not, the answer is possible through a statement..

1) AC = 6
Since, one of the sides is 6, the other can take any value
Insuff..

2) AB = 10
It is given that hyp is 10..
An isosceles right angle triangle will have max area..
so with Hyp as 10 , the max area possible is when the other two sides are equal..
so each side = Hyp/$$\sqrt{2}$$=10/$$\sqrt{2}$$..
area = 1/2 * 10/$$\sqrt{2}$$*10/$$\sqrt{2}$$
=>100/4=25..
so max area possible is 25..
so teh area of ABC can never be >25..
Suff

ANS B

Thanks, so you assumed the triangle to be an isosceles to give the maximum possible area. That is great. How about if statement 2 was AB=11? What would the answer be then? C or E?

The answer will be Statement 2 will be INSUFF and answer will be C..
But the trap lies in assuming C to be the answer without trying for MAX possible AREA..
_________________

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

Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 03:19
seesharp wrote:
chetan2u wrote:
seesharp wrote:
Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Hi,
whenever we see a restrictions, <,>, atleast etc, more often than not, the answer is possible through a statement..

1) AC = 6
Since, one of the sides is 6, the other can take any value
Insuff..

2) AB = 10
It is given that hyp is 10..
An isosceles right angle triangle will have max area..
so with Hyp as 10 , the max area possible is when the other two sides are equal..
so each side = Hyp/$$\sqrt{2}$$=10/$$\sqrt{2}$$..
area = 1/2 * 10/$$\sqrt{2}$$*10/$$\sqrt{2}$$
=>100/4=25..
so max area possible is 25..
so teh area of ABC can never be >25..
Suff

ANS B

Thanks, so you assumed the triangle to be an isosceles to give the maximum possible area. That is great. How about if statement 2 was AB=11? What would the answer be then? C or E?

Hi seesharp,

the LOGIC, which may help you in some other Qs too, is..
Given sum of any two numbers, the product will be MAX when the two numbers are same..
Example SUM=a+b =10..
max product ab = 10/2 * 10/2= 25..
that is a aand b are 5 each..
try any combination of a and b, product will not >25..
_________________

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

CEO
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 04:18
seesharp wrote:
Is the area of the right angled triangle ABC>25?

1) AC = 6
2) AB = 10

Follow posting guidelines (link in my signatures). Do make sure to add the OA with the question.
Moderator
Joined: 21 Jun 2014
Posts: 1113
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 11:08
chetan2u wrote:

The answer will be Statement 2 will be INSUFF and answer will be C..
But the trap lies in assuming C to be the answer without trying for MAX possible AREA..

Yes, its a C-trap question, Its creator knows that students will not try max area. But why B would be insuff if AB=11? why looking at value 10 of AB makes us look for max area. if its about Pythagorean triplets then we can consider the same for value 6 of AC and choice A would be correct too? Please explain chetan2u
_________________

---------------------------------------------------------------
Target - 720-740
Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

CEO
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

05 Mar 2016, 11:55
HKD1710 wrote:
chetan2u wrote:

The answer will be Statement 2 will be INSUFF and answer will be C..
But the trap lies in assuming C to be the answer without trying for MAX possible AREA..

Yes, its a C-trap question, Its creator knows that students will not try max area. But why B would be insuff if AB=11? why looking at value 10 of AB makes us look for max area. if its about Pythagorean triplets then we can consider the same for value 6 of AC and choice A would be correct too? Please explain chetan2u

Its better if you look at a few cases when AB=11.

Case 1: it is an iscosceles right triangle, giving you $$AC=BC=11/\sqrt{2}$$ ---> $$Area = 0.5*11/\sqrt{2}*11/\sqrt{2} = 121/4 > 25$$ but if

Case 2: $$AC=\sqrt{120}$$ and BC =1, you still get AB=11 but in this case, $$Area = 0.5*\sqrt{120}*1$$ <25

This is the reason why statement 2 of this hypothetical question will not be sufficient.

Hope this helps.
Non-Human User
Joined: 09 Sep 2013
Posts: 9838
Re: Is the area of the right angled triangle ABC>25?  [#permalink]

### Show Tags

13 Oct 2018, 12:01
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.
_________________
Re: Is the area of the right angled triangle ABC>25?   [#permalink] 13 Oct 2018, 12:01
Display posts from previous: Sort by