A rectangular PQTS is divided by a diagonal, The line

Question

A rectangular PQTS is divided by a diagonal, The line diagonal is QS, is the rectangular a parallelogram?
(1) The area of triangular PQS is the same as that of TQS.
(2) PQ=PS

jamifahad · Answer

Isn't every rectangle a already a parallelogram? Question doesn't make sense.

diebeatsthegmat · Answer

this math doesnt make sence... C is the answer, isnt it? read about parallelogram

fluke · Answer

What if we change this question:

A parallelogram PQTS is divided by the diagonal QS. Is the parallelogram a rectangle?
(1) The area of triangle PQS is the same as that of triangle TQS.
(2) PQ=PS

jamifahad · Answer

Then i think it should be B.
By PQ=PS we can definitely say that the parallelogram NOT a rectangle

Area being same doesn't give us much information. It can be rectangle, square or rhombus.

galiya · Answer

i guess answear is B....PQ=Ps shows us that PQST is a square

fluke · Answer

PQ=PS can be a rhombus as well, right?
Also, in GMAT a square is a rectangle.

Warlock007 · Answer

C for this question as we need both the statement for making sure that its a parallelogram For this the answer would be B as in case of Statement 1 we know that both P & T are equidistant from the diagonal QS but they may have any angle...not necessarily 90 degree hence not rectangle

Eden · Answer

A parallelogram PQTS is divided by the diagonal QS. Is the parallelogram a rectangle?
(1) The area of triangle PQS is the same as that of triangle TQS.
(2) PQ=PS

Hmm
(1)When rectangle or rhombus is divided into two, both section will have the same area-NS
(2)Adjacent side is the same-it could be a rhombus or a square (a special rectangle)-NS

together-it could be rhombus (not a rectangle) or a square(a special rectangle)

E?

Spidy001 · Answer

A parallelogram PQTS is divided by the diagonal QS. Is the parallelogram a rectangle?
(1) The area of triangle PQS is the same as that of triangle TQS.
(2) PQ=PS

1. Not sufficient

it could be rectangle,square or rhombus

2. Not sufficient

it could be rhombus or square

together,

its rhombus or square . Hence not sufficient.

Answer is E.

suraabhi · Answer

I think answer is B

(1) Clearly we cannot say anything
(2) Its either Rhoumus or Square. Hence we can say clearly that it is not a ¦¦ogram.

A rectangular PQTS is divided by a diagonal, The line

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards