Tiles

[mysseo]

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.

[Anurag@Gurome]

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.

Note that there is no restriction about which color can precede any green tile. Thus green may appear anywhere in the series. Now looking at the statements we can say that the answer will be E, because there is no definite regularity in the series or we can go for a detailed analysis.

Statement 1: The 18th tile in the row is not yellow.
Thus it may be either red or green. Hence the color of 24th tile may depend on the color of this 18th tile.

Not sufficient

Statement 1: The 19th tile in the row is not Green.
Thus it may be either red or Yellow. Hence the color of 24th tile may depend on the color of this 19th tile.

Not sufficient

1 & 2 Together: From statement 1, 18th is either red or green which means 19th is either Green or Yellow. But from statement 2, 19th tile is either Red or Yellow or Green. Combining this two, we get that 19th tile is either Yellow or Green.

Not sufficient

The correct answer is E.

[mysseo]

Thank you so much. I noticed that there is no restriction about which color can precede any green tile. That's the key to solve this problem.

[ArunangsuSahu]

VERY ANALYTICAL

Statement 1:

18th tile is not YELLOW

Therefore, the Sequence can be:
a) RGYRGYR
b) GYRGYRG

INSUFFICIENT

Statement 2:
19th tile is not green.

Keep in mind Green can be preceded by anything

Therefore, the Sequence can be:
a) YRGYRG
b) YRGGYR
c) YRGGGY
d) YRGGGG
e) RGYRGY
f) RGGGGG
g) RGYRGG abd so ON


INSUFFICIENT

Combining (1) and (2) also no definite answer


So (E)

[shekhar.kataria]

1 & 2 Together: From statement 1, 18th is either red or green which means 19th is either Green or Yellow. But from statement 2, 19th tile is either Red or Yellow or Green. Combining this two, we get that 19th tile is either Yellow or Green.

Hi Anurag

Can you please elaborate on how can 19th tile be of any color when the St 2 says 19th tile cannt be Green.

Not able to get this point here.

[ArunangsuSahu]

@Sekhar,
Please see my answer