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P,Q,R,S, and T represent five distinct points on the circumference

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P,Q,R,S, and T represent five distinct points on the circumference  [#permalink]

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New post 23 Mar 2017, 03:48
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P,Q,R,S, and T represent five distinct points on the circumference of a circle. Is arc PQR longer than arc RST?
A. Chord QT is longer than chord QS.
B. Chord ST is longer than chord PT

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Re: P,Q,R,S, and T represent five distinct points on the circumference  [#permalink]

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New post 26 Mar 2017, 05:13
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techiesam wrote:
chetan2u

Can you explain the solution please?


Hi,

PQRST can be taken as one after another points on the circumference..
We do not know how far points are from each other...
We are looking for " whether arc PQR > arc RST?"
Always remember each CHORD makes 2arcs..

Let's see the statements..
1) Chord QT > chord QS
2) ST>PT..

In none of the two or combined can you work out for arcs PQR or arc RST...
Chord talking of PR or RT could have been worked upon with some more info in statement II could have got us to answer..

But here, no info at all. We can vary the distance between the points in infinite ways and again chord does not exactly tells us which arc..
You can draw and see
Example chord PR can be arc PQR or arc RSTP..

So E
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P,Q,R,S, and T represent five distinct points on the circumference  [#permalink]

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New post 26 Mar 2017, 07:43
Thank you very much for the explanation. chetan2u
I got this problem in my Princeton Review CAT. I was not very convinced with the OE.

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The purpose of this post was to see some alternate solutions.
Thank you.
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Re: P,Q,R,S, and T represent five distinct points on the circumference  [#permalink]

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New post 30 Sep 2018, 16:35
chetan2u wrote:
techiesam wrote:
chetan2u

Can you explain the solution please?


Hi,

PQRST can be taken as one after another points on the circumference..
We do not know how far points are from each other...
We are looking for " whether arc PQR > arc RST?"
Always remember each CHORD makes 2arcs..

Let's see the statements..
1) Chord QT > chord QS
2) ST>PT..

In none of the two or combined can you work out for arcs PQR or arc RST...
Chord talking of PR or RT could have been worked upon with some more info in statement II could have got us to answer..

But here, no info at all. We can vary the distance between the points in infinite ways and again chord does not exactly tells us which arc..
You can draw and see
Example chord PR can be arc PQR or arc RSTP..

So E

Hi just curios nowhere it s mentioned that these are consecutive points so how can we for sure take them one after another?
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Re: P,Q,R,S, and T represent five distinct points on the circumference   [#permalink] 30 Sep 2018, 16:35
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P,Q,R,S, and T represent five distinct points on the circumference

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