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geo funda

Expert replies
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
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Source: — Data Sufficiency |

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.
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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]
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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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