Data Sufficiency

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

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.

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]

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

Thanks!!