Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 2301:00 AM EDT
-02:00 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 2310:00 AM PDT
-11:00 AM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
02 Jun 2015, 10:33
Kudos
Bookmarks
In a triangle in which the measures of each angle is an integral no. of degrees. 17 times of one angle is equal to 19 times of one of the other angles. How many such triangles are possible ?
02 Jun 2015, 22:12
Kudos
Bookmarks
Hi sekhar67,
You should post this in one of the Quant Forums, but I'll be happy to answer it here:
The 3 angles in a triangle must sum to 180 degrees, so you're limited in terms of what the possible angles can be.
We're given a couple of other 'restrictions' that we have to deal with:
1) The 3 angles are all integers
2) 17 times one of the angles = 19 times one of the other angles
We're asked how many different triangles are possible under these conditions....
Since 17 and 19 are both prime numbers, there are very few options that are possible. The first option would be
Angles:
19, 17, 144 (since 19x17 = 17x19)
From here, the only other possibilities are integer multiples of 19 and 17...
38, 34, 108
57, 51, 72
76, 68, 36
At this point, we have to stop. The next option would be...
95, 85, ......, but 95+85 = 180, which leaves 0 degrees for the third angle (and that's NOT possible).
So there are 4 possible triangles that fit this situation.
GMAT assassins aren't born, they're made,
Rich
You should post this in one of the Quant Forums, but I'll be happy to answer it here:
The 3 angles in a triangle must sum to 180 degrees, so you're limited in terms of what the possible angles can be.
We're given a couple of other 'restrictions' that we have to deal with:
1) The 3 angles are all integers
2) 17 times one of the angles = 19 times one of the other angles
We're asked how many different triangles are possible under these conditions....
Since 17 and 19 are both prime numbers, there are very few options that are possible. The first option would be
Angles:
19, 17, 144 (since 19x17 = 17x19)
From here, the only other possibilities are integer multiples of 19 and 17...
38, 34, 108
57, 51, 72
76, 68, 36
At this point, we have to stop. The next option would be...
95, 85, ......, but 95+85 = 180, which leaves 0 degrees for the third angle (and that's NOT possible).
So there are 4 possible triangles that fit this situation.
GMAT assassins aren't born, they're made,
Rich
