GRE Prep 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.
In triangle FGH, the base has a length of FH = 126.3, and th
[#permalink]
01 Feb 2020, 17:23
01 Feb 2020, 17:23
1
00:00
Question Stats:
44% (01:52) correct
55% (01:43) wrong based on 38 sessions
Hide Show timer Statistics
Attachment:
Screenshot from 2020-02-02 07-22-38.png [ 13.41 KiB | Viewed 5700 times ]
In triangle FGH, the base has a length of FH = 126.3, and the altitude from G to FH is constructed and has a length of h. What could be the value of h if we know that the area of the triangle is an integer?
Indicate all possible values of h.
A. 30
B. 40
C. 50
D. 75
E. 80
F. 100
G. 125
H. 150
Re: In triangle FGH, the base has a length of FH = 126.3, and th
[#permalink]
03 Feb 2020, 08:05
03 Feb 2020, 08:05
so area of FGH = (126,3 *h) / 2 = integer
--> in order to get an integer, (h* 0,3) /2 must be an integer. That is the case, when the units digit of h/2 is 0
--> therefore answers B, E and F are possible (e.g.. 40/2 * 0,3 = 20*0,3 = 6 in contrast to e.g. 30/2 *0,3 = 15*0,3 = 4,5 => no integer)
--> in order to get an integer, (h* 0,3) /2 must be an integer. That is the case, when the units digit of h/2 is 0
--> therefore answers B, E and F are possible (e.g.. 40/2 * 0,3 = 20*0,3 = 6 in contrast to e.g. 30/2 *0,3 = 15*0,3 = 4,5 => no integer)
Re: In triangle FGH, the base has a length of FH = 126.3, and th
[#permalink]
04 May 2020, 04:57
04 May 2020, 04:57
1
area of FGH = (126.3 *H) / 2
=1236*H/20
we know that 1236 is not fully divisible by 20 so H must be an integer which is fully divisible by 20
in options 40,80 AND 100 are only integers which are fully visible by 20
=1236*H/20
we know that 1236 is not fully divisible by 20 so H must be an integer which is fully divisible by 20
in options 40,80 AND 100 are only integers which are fully visible by 20
