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can someone solve this geometry quesiton for me?
Source: Beat The GMAT — Problem Solving |
Since PS and QR are parallel , the length of both the segments would depend on the angle .
The more the angle deflects from 90 degree (At 90 degree segment length will be shortest ) in either direction the more will be the length of the segment .
S1 : X > Y , that means PQ < SR ....... Suff
S2 : it doesnt tell which angle is greater ........ Not Suff
Ans : A
S1 can also be seen as the more the X the more closer it gets to 90 deg, so shorter segment length
The more the angle deflects from 90 degree (At 90 degree segment length will be shortest ) in either direction the more will be the length of the segment .
S1 : X > Y , that means PQ < SR ....... Suff
S2 : it doesnt tell which angle is greater ........ Not Suff
Ans : A
S1 can also be seen as the more the X the more closer it gets to 90 deg, so shorter segment length
AS PS || QR and both x and y < 90.
The greater will have lesser length.
stmt 1 says x>y.
This is sufficient.
Thanks
Raama
The greater will have lesser length.
stmt 1 says x>y.
This is sufficient.
Thanks
Raama
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Location: Vancouver, BC
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This is a great question.
I believe the answer is E.
I believe the answer is E.
Brent Hanneson - Creator of GMATPrepNow.com
But X and Y are each less than 90.Brent Hanneson wrote:This is a great question.
I believe the answer is E.
We have consider only Case a.
SO A is sufficient.
Thanks
Raama
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Location: Vancouver, BC
- Thanked: 5254 times
- GMAT Score:770
Oops 
Looks like I'm guilty of not reading the question.
You're right; A it is.
Thanks.
Looks like I'm guilty of not reading the question.
You're right; A it is.
Thanks.
Brent Hanneson - Creator of GMATPrepNow.com
IMO A.
The main takeaway from this problem is
A perpendicular is the shortest line connecting two parallel lines.
A corollary to the above is: as angle between the connecting line (PQ or RS) and the base line QR increases, the connecting line gets shorter and shorter.
stmt 1 answers the Q. but stmt2 doesnt. coz the individual lengths of PQ and SR cannot be determined from the sum of the angles.
HT Helps
-V
The main takeaway from this problem is
A perpendicular is the shortest line connecting two parallel lines.
A corollary to the above is: as angle between the connecting line (PQ or RS) and the base line QR increases, the connecting line gets shorter and shorter.
stmt 1 answers the Q. but stmt2 doesnt. coz the individual lengths of PQ and SR cannot be determined from the sum of the angles.
HT Helps
-V
