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Tiles

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by aatech » Tue Jun 03, 2008 12:22 pm
In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.
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Source: — Data Sufficiency |
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Answer is E

by albertrahul » Wed Jun 04, 2008 7:41 am
Alright, this is a tricky and time consuming one :)

R = Red
Y = Yellow
G = Green

Sequence: R, Y, G

Stmt 1) The 18th tile in the row is not yellow.
Two possibilities:

A) 18 19 20 21 22 23 24
----G R Y G R Y G

B) 18 19 20 21 22 23 24
----R Y G R Y G R

Hence not sufficient

Stmt 2) The 19th tile in the row is not green.
Two possibilities:

A) 18 19 20 21 22 23 24
---- R Y G R Y G R

B) 18 19 20 21 22 23 24
---- G R Y G R Y G

Hence stmt 2 not sufficient as well.

Combining both statements:

18 Not Yellow and 19 not Green
Two possibilities, again:

A) 18 19 20 21 22 23 24
---- R Y G R Y G R

B) 18 19 20 21 22 23 24
---- G R Y G R Y G

Hence answer is E.
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by molt_llest » Wed Jun 04, 2008 7:56 am
What do you understand with preceded, I set this order GYR - R is preceded by yellow and yellow is preceded by Green.
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by sm612 » Wed Jun 04, 2008 8:34 am
Another imp. thing which is not there in question is which tile preceed green; means RYGGGGGGGGGGGGG is also a valid tile arrangement.
Keeping this is mind, E is the only valid answer.
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Missed Preceded

by albertrahul » Wed Jun 04, 2008 8:39 am
My bad. :(
Thanks for correcting!
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by aatech » Wed Jun 04, 2008 9:41 am
OA E
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by meet.anup » Fri Jun 06, 2008 5:02 am
shouldnt the answer be C??
as it says preceded the sequence would be GYRGYR
as 19th cannot be G, combining with (A) we get 18th as G and 19th as Y
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