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VeritasKarishma Your thoughts please !!
Any quicker way to do this .
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Bunuel

In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?

(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j

Attachment:
circle.jpg

When I see this figure, I don't see circles and chords - I see a polygon. Had it been about circles and chords, there would have been 1 or 2 chords. These all are making a complete polygon inscribed in the circle.
We are given exterior angles of a polygon. I know that the sum of all exterior angles will be 360.
Consider the side a. It is turned 40 degrees to get side b. Side b is turned 35 degrees to get side c and so on...
When are 2 lines parallel? When a side is eventually turned 180 degrees, it will have the same slope as before.

I notice the figures 32, 32 and 36. They are different from the rest which end in a 5 or a 0. I am thinking that if one of them is a part of my sum of 180, all 3 need to be so add up to 100. Fortunately I have a 45 degrees angle between them and a 35 degrees angle after them.
This tells me that side e is turned 180 degrees clockwise to get side j (32 + 36 + 45 + 32 + 35)

So sides e and j are parallel

Answer (E)
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[img]Q2z12!2211+2`•2[/img]

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Just start adding the respective angles.
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F6ED3B75-092C-40B5-ACBF-39E8B5F85955.jpeg
F6ED3B75-092C-40B5-ACBF-39E8B5F85955.jpeg [ 2.05 MiB | Viewed 3384 times ]

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Bunuel

In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?

(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j

Source: Nova GMAT
Difficulty Level: 700
Attachment:
circle.jpg

We need the angles on one side to add to 180 and the angles on the other side to add to 180.

(Notice that we just rotate one space clockwise with each answer choice, so we can just drop the last item off each list and add the new number to the front.)
A) We have units digits of 0, 5, 2, 5, 6 on one side. That won't end in 0. Eliminate.
B) We have units digits of 0, 0, 5, 2, 5 on one side. That won't end in 0. Eliminate.
C) We have units digits of 5, 0, 0, 5, 2 on one side. That won't end in 0. Eliminate.
D) We have units digits of 5, 5, 0, 0, 5 on one side. That won't end in 0. Eliminate.
E)

Answer choice E.
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