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meghash3
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Is the measure of one of the interior angles of a cyclic 28 May 2010, 09:28
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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Is the measure of one of the interior angles of a cyclic quadrilateral PQRS equal to 90?
(i) angle PQR : Ð RSP = 2 : 3
(ii) Ð QRS + Ð QPS = 180
Statement (i) alone is sufficient, but statement (ii) alone is not sufficient.
Statement (ii) alone is sufficient, but Statement (i) alone is not sufficient.
Both Statements together are sufficient, but neither statement alone is sufficient.
Each statement alone is sufficient.
Statement (i) and (ii) together are not sufficient.



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Is the measure of one of the interior angles of a cyclic 30 May 2010, 19:00
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is it B?

will explain if correct !
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tarun
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Is the measure of one of the interior angles of a cyclic 31 May 2010, 04:46
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Got to be C.

What's OA?
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mc
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Is the measure of one of the interior angles of a cyclic 01 Jun 2010, 05:26
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I think it's E.

i: This just tells us the relationship of PQR and RSP, nothing about their actual values.
ii: This tells us nothing about the values of any angle.

Combined: We know PQR = 72 and RSP = 108 (or vice versa), but still don't know exactly what QRS or QPS are.
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Is the measure of one of the interior angles of a cyclic 01 Jun 2010, 08:49
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IMO (E) .. pls post OA ...
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Is the measure of one of the interior angles of a cyclic 02 Jun 2010, 16:37
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I think it is A, if the eth symbol refers to an angle

Given the quadrilateral is cyclic. Thus, opposite angles add up to 180. Now, if any one angle is 90 degrees, then the angle opposite to it will also be 90, since the sum is 180. If one pair of opposite angles of a quadrilateral are 90 degrees, then all angles will be 90 degrees i.e.equal.

Statement 1: angle PQR: angle RSP = 2:3, which implies that two angles of the cyclic quadrilateral are not equal. Hence, none of the angles of this cyclic quadrilateral will be equal to 90 degrees, since all angles must be equal if any angle is 90 degrees.
Hence, sufficient (no angle is equal to 90 degrees)

Statement 2: angle QRS + angle QPS = 180, we already know this about a cyclic quadrilateral. This information does not help.

Hence, A



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