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.
(AB)^2 + (BD)^2
[#permalink]
25 Sep 2019, 16:00
25 Sep 2019, 16:00
Expert Reply
00:00
Question Stats:
26% (00:15) correct
73% (00:34) wrong based on 41 sessions
Hide Show timer Statistics
Attachment:
#greprepclub ABCD is a rectangle..jpg [ 16.99 KiB | Viewed 2043 times ]
ABCD is a rectangle.
Quantity A |
Quantity B |
\((AB)^2 + (BD)^2\) |
\(AD\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: (AB)^2 + (BD)^2
[#permalink]
26 Sep 2019, 21:30
26 Sep 2019, 21:30
1
We have a rectangle.
By Pythagoras theorem, Diagonal \(AD^2 = AB^2 + BD^2\)
Therefore, we can replace qty A with \(AD^2\)
The main idea the question is trying to test is that side AB and BD could both be an integer number or a fractional number.
In case \(AB\) and \(BD\) are fractional number their square will be less and hence \(AD\) would be bigger than \(AD^2\). However if \(AB\) and \(BD\) are integer number \(AD^2\) will be bigger than \(AD\). Also keep in mind that \(AB\) and \(BD\) cannot be \(0\) or \(-ve\) number.
By Pythagoras theorem, Diagonal \(AD^2 = AB^2 + BD^2\)
Therefore, we can replace qty A with \(AD^2\)
The main idea the question is trying to test is that side AB and BD could both be an integer number or a fractional number.
In case \(AB\) and \(BD\) are fractional number their square will be less and hence \(AD\) would be bigger than \(AD^2\). However if \(AB\) and \(BD\) are integer number \(AD^2\) will be bigger than \(AD\). Also keep in mind that \(AB\) and \(BD\) cannot be \(0\) or \(-ve\) number.
