Source: Economist GMAT
In the figure above, what is the distance from point P to point Q?
$$A.\ \sqrt{2}$$
$$B.\ 1.52-1$$
$$C.\ \sqrt{1.52-1}$$
$$D.\ \frac{\sqrt{2}}{2}$$
$$E.\ 0.5$$
The OA is D.
In the figure above, what is the distance from point P to
This topic has expert replies
-
- Moderator
- Posts: 2209
- Joined: Sun Oct 15, 2017 1:50 pm
- Followed by:6 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Since the formula for finding the distance between two points is the Cartesian plane is not within the scope of the GMAT, let's do it differently.
Pl. see this self-explanatory image.
The correct answer: D
Hope this helps!
-Jay
_________________
Manhattan Review GRE Prep
Locations: [url=hhttps://www.manhattanreview.id/gre-prep-jakarta/]GRE Classes Jarkarta[/url] | GRE Prep Course Kuala Lumpur | GRE Prep Manila | GRE Prep Course Bangkok | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Once we create our right triangle with sides 1/2, 1/2 and x (the hypotenuse), we can apply the Pythagorean Theorem to get: (1/2)² + (1/2)² = x²
Expand: 1/4 + 1/4 = x²
So, 1/8 = x²
This means x = √(1/8)
Check the answer choices. . . .√(1/8) is not there. Looks like we need to simplify √(1/8)
First off, √(a/b) = (√a)/(√b)
So, √(1/8) = (√1)/(√8)
= 1/(√8)
= 1/(2√2)
Check the answer choices. . . .1/(2√2) is not there.
Take: 1/(2√2)
Multiply top and bottom by √2 to get: √2/4
Check the answer choices. . . .
Answer: D
Cheers,
Brent