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In the diagram above what is the length of MP if LNOQ is a square with

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In the diagram above what is the length of MP if LNOQ is a square with  [#permalink]

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13 Mar 2018, 07:24
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Difficulty:

65% (hard)

Question Stats:

62% (02:08) correct 38% (01:44) wrong based on 52 sessions

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In the diagram above what is the length of MP if LNOQ is a square with an area of 64?

(1) a - b = 0

(2) OP = OQ/2

Attachment:

2018-03-13_1822_001.png [ 7.04 KiB | Viewed 682 times ]

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Re: In the diagram above what is the length of MP if LNOQ is a square with  [#permalink]

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13 Mar 2018, 07:25
Bunuel wrote:

In the diagram above what is the length of MP if LNOQ is a square with an area of 64?

(1) a - b = 0

(2) OP = OQ/2

Attachment:
2018-03-13_1822_001.png

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In the diagram above what is the length of MP if LNOQ is a square with  [#permalink]

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Updated on: 13 Mar 2018, 08:26
Bunuel wrote:

In the diagram above what is the length of MP if LNOQ is a square with an area of 64?

(1) a - b = 0

(2) OP = OQ/2

Attachment:
2018-03-13_1822_001.png

As we're asked to assess the length of MP, we'll try playing with the figure.
This is an Alternative approach.

The shortest MP can be is if it is a straight line, that is parallel to LQ.
The longest MP can be is if it is a diagonal of a square.
We'll try drawing MP so it is as long or as short as possible.

(1) if a = b = 90 then MP is a straight line and if a = b = 45 MP is a diagonal.
Insufficient.

(2) We now know the exact location of point P but can still move point M around giving different lengths.
Insufficient.

Combined.
We know the exact location of point P but can still move point M around.
(Is MP a straight line or does it have a slope? Either way a =b as the sides of the square are parallel)
Insufficient!

(E) is our answer.
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Originally posted by DavidTutorexamPAL on 13 Mar 2018, 07:54.
Last edited by DavidTutorexamPAL on 13 Mar 2018, 08:26, edited 2 times in total.
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In the diagram above what is the length of MP if LNOQ is a square with  [#permalink]

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Updated on: 13 Mar 2018, 08:26

1) Statement 1 gives no info, since it is a square and hence the sides are parallel, the line is transversal, hence a = b always (alternate interior angles).
Hence Statement 1 gives no info.

Not sufficient.

2) Statement 2 : it shows fixes P location , but M location is not fixed, hence the length MP is not fixed.

Not Sufficient.

Even after combining, we cant find the length MP as it is not fixed
Not sufficient.

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Originally posted by gmatbusters on 13 Mar 2018, 07:59.
Last edited by gmatbusters on 13 Mar 2018, 08:26, edited 2 times in total.
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Re: In the diagram above what is the length of MP if LNOQ is a square with  [#permalink]

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13 Mar 2018, 08:10
Bunuel wrote:

In the diagram above what is the length of MP if LNOQ is a square with an area of 64?

(1) a - b = 0

(2) OP = OQ/2

Attachment:
2018-03-13_1822_001.png

Area of Square is given, from that we can find out the side a

Statement 1 : it is reduntant statement. As alternate angle between two parallel line are always equal.
this satement is not providing any constraint to end point of line MP.
This statement in itself is not sufficient.
Statement 2 : OP = OQ/2. this statement constraint one end point of Line MP , i.e P.
But other point M is free to move along the side of square.
So This statement is also insufficient.
As Statement 1 is reduntant statement and Statement 2 constraints only one point. Both Statement together also cannnot help in finding the Length of MP.
So answer is E
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Re: In the diagram above what is the length of MP if LNOQ is a square with   [#permalink] 13 Mar 2018, 08:10
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