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sud21: Master | Next Rank: 500 Posts; Posts: 344; Joined: Sat Nov 12, 2011 3:21 amFollowed by: 2 members; Thanked: 1 times

by sud21 » Thu Jan 12, 2012 9:36 am

Is ABCD rectangular?
1). Angle ABC and BCD are right angle
2). Two diagonal have the same length.

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Source: Beat The GMAT — Data Sufficiency | Thu Jan 12, 2012 9:36 am

mankey: Legendary Member; Posts: 627; Joined: Thu Jun 23, 2011 9:12 amFollowed by: 1 member; Thanked: 4 times

by mankey » Thu Jan 12, 2012 10:01 am

Both conditions together tell that it is a rectangular. Any one by itself is insufficient.

IMO:C.

What is the OA?

Thanks.

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sud21: Master | Next Rank: 500 Posts; Posts: 344; Joined: Sat Nov 12, 2011 3:21 amFollowed by: 2 members; Thanked: 1 times

by sud21 » Fri Jan 13, 2012 11:40 am

mankey wrote:Both conditions together tell that it is a rectangular. Any one by itself is insufficient.

IMO:C.

What is the OA?

Thanks.

St.1 A rectangle is defined as a quadrilateral where all four of its angles are right angles. Only two angles are similar. Insufficient.

St.2 If diagonals are of same length, it has to constitute a rectangle. Here diagonals are of same length. But it is also true for a square. Insufficient.

Taking both, From st.1 AB || CD because of right angles and from st.2 we got equal diagonals.

Ans. C

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