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 the triangle shown, x and y are measures of the angles A and C, re
[#permalink]
07 Aug 2025, 23:33
07 Aug 2025, 23:33
Expert Reply
00:00
Question Stats:
100% (00:38) correct
0% (00:00) wrong based on 4 sessions
Hide Show timer Statistics
Attachment:
GRE In the triangle shown, x and y are measures of the angles.png [ 13.33 KiB | Viewed 181 times ]
In the triangle shown, x and y are measures of the angles A and C, respectively, where \(x + y > 90°\)
Quantity A |
Quantity B |
AB |
BC |
Re: In the triangle shown, x and y are measures of the angles A and C, re
[#permalink]
20 Aug 2025, 08:56
20 Aug 2025, 08:56
Expert Reply
In the triangle above, we know that $\(x+y>90^{\circ}\)$; we need to compare the length of $A B$ with the length of BC .
Since the values of angle $A C B$ \& angle $B C A$ i.e. the values of $y$ and $x$ are not known, we cannot compare the lengths of the sides opposite to them.
For example if we take $\(x=y=50^{\circ}\)$, we have $\(x+y>90^{\circ}\)$ and we get the sides $A B=A C$ (in a triangle when two angles are equal, opposite sides are also equal), so column $A$ gets same quantity as column B.
But if take $\(\mathrm{x}=70^{\circ}\)$ and $\mathrm{y}=50^{\circ}$ say, we get $\(\mathrm{x}+\mathrm{y}>90^{\circ}\)$ and $\(\mathrm{AB}<\mathrm{AC}\)$ (In a triangle, side opposite to larger angle is longer), so column $B$ gets higher quantity than column $A$.
Hence a unique comparison cannot be formed between column A and column B quantities, so the answer is (D).
Since the values of angle $A C B$ \& angle $B C A$ i.e. the values of $y$ and $x$ are not known, we cannot compare the lengths of the sides opposite to them.
For example if we take $\(x=y=50^{\circ}\)$, we have $\(x+y>90^{\circ}\)$ and we get the sides $A B=A C$ (in a triangle when two angles are equal, opposite sides are also equal), so column $A$ gets same quantity as column B.
But if take $\(\mathrm{x}=70^{\circ}\)$ and $\mathrm{y}=50^{\circ}$ say, we get $\(\mathrm{x}+\mathrm{y}>90^{\circ}\)$ and $\(\mathrm{AB}<\mathrm{AC}\)$ (In a triangle, side opposite to larger angle is longer), so column $B$ gets higher quantity than column $A$.
Hence a unique comparison cannot be formed between column A and column B quantities, so the answer is (D).
gmatclubot
Re: In the triangle shown, x and y are measures of the angles A and C, re [#permalink]
20 Aug 2025, 08:56
Moderators:
