cut each other in half

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri Apr 08, 2011 12:59 am

Line MN is perpendicular to line NP. Also, line PQ and line MN bisect each other (cut each other in half) at point T. If the length of MN is 12 and the length of PQ is 20, what's the length of PN?
(A) 4.3
(B) 6.4
(C) 7.2
(D) 8
(E) 12

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Source: Beat The GMAT — Problem Solving | Fri Apr 08, 2011 12:59 am

HSPA: Legendary Member; Posts: 1101; Joined: Fri Jan 28, 2011 7:26 amFollowed by: 13 members; Thanked: 47 times; GMAT Score:640

by HSPA » Fri Apr 08, 2011 1:04 am

In the mentioned rigt triangle : PT = 10 and MN = 6 Hence NP shall be 8

IMO D

First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.

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force5: Legendary Member; Posts: 582; Joined: Tue Mar 08, 2011 12:48 amFollowed by: 6 members; Thanked: 61 times; GMAT Score:740

by force5 » Mon Apr 11, 2011 2:12 am

too vague !! HSPA you have assumed that PQ and NP are also intersecting...

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bubbliiiiiiii: Legendary Member; Posts: 979; Joined: Tue Apr 14, 2009 1:38 amFollowed by: 12 members; Location: Hyderabad, India; Thanked: 49 times; GMAT Score:700

by bubbliiiiiiii » Mon Apr 11, 2011 3:17 am

IMO D.

Figure as under,

P
/ |
/ |
M / |
--------------
/ T |N
/ |
Q/ |

PT=10, TN=6.
Apply pythogaras theorem to triangle PTN to obtain PN.

Regards,

Pranay

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Apr 11, 2011 9:03 am

sanju09 wrote:Line MN is perpendicular to line NP. Also, line PQ and line MN bisect each other (cut each other in half) at point T. If the length of MN is 12 and the length of PQ is 20, what's the length of PN?
(A) 4.3
(B) 6.4
(C) 7.2
(D) 8
(E) 12

Might be useful to sketch this out.

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