geo funda

Expert replies

nitug: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Wed Jul 23, 2008 2:10 am

by nitug » Sat Aug 30, 2008 11:56 am

Hi ppl,

try to solve this one.

ABCD is a quadrilateral. Is AB=BC=CD=DA?
1. AC is perpendicular to BD
2. AB+CD = BC+ AD

• Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
• Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient

My explanation would be:

Since statement 1 says diagonals are perpendicular to each other, it is a rhombus and thus this stat is sufficient.

and
since statement 2 doesnt give a clue whether sides are equal or not.
Insufficient

hence, my ans will be A.

what do u guys say??

thanks,
nitug

Source: Beat The GMAT — Data Sufficiency | Sat Aug 30, 2008 11:56 am

parallel_chase: Legendary Member; Posts: 1153; Joined: Wed Jun 20, 2007 6:21 amFollowed by: 2 members; Thanked: 146 times

Re: geo funda

by parallel_chase » Sat Aug 30, 2008 2:49 pm

nitug wrote:Hi ppl,

try to solve this one.

ABCD is a quadrilateral. Is AB=BC=CD=DA?
1. AC is perpendicular to BD
2. AB+CD = BC+ AD

• Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
• Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient

My explanation would be:

Since statement 1 says diagonals are perpendicular to each other, it is a rhombus and thus this stat is sufficient.

and
since statement 2 doesnt give a clue whether sides are equal or not.
Insufficient

hence, my ans will be A.

what do u guys say??

thanks,
nitug

Is the question correctly posted.

shouldnt first statement say : AC and BD are perpendicular bisectors to each other.

loki.gmat: Master | Next Rank: 500 Posts; Posts: 187; Joined: Sat May 24, 2008 5:44 amFollowed by: 1 member; Thanked: 6 times

by loki.gmat » Sun Aug 31, 2008 10:22 am

both the statements can be true for a kite or a square or a rhombus.
a kite may not necessarily have all the sides as equal.

hence the data given is insufficient.

hence IMO E.

Thanks![/img]

nitug: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Wed Jul 23, 2008 2:10 am

by nitug » Mon Sep 01, 2008 9:18 am

the ques is correctly posted and yes the explanation is right as the ans is E indeed.

Thanks!!

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