Bunuel
Bob is organizing his stamp collection by placing all 56 of his stamps into several albums. Is there at least one album that contains two or more stamps of the same color?
(1) Each stamp in the collection is exactly one of the following six colors: red, blue, green, yellow, orange, or violet.
(2) Bob places the stamps into 9 albums, with each stamp placed in exactly one album.
Total stamps = 56
Albums = x
Colors = y
(1) Each stamp in the collection is exactly one of the following six colors: red, blue, green, yellow, orange, or violet.
We have Colors as red, blue, green, yellow, orange, or violet
Hence y = 6
But we don't know the number of albums. It could be 56 albums and despite 6 colors, all stamps may be in different albums and make the statement false
Alternatively, there could be just 1 album, and all colors would have to be in that 1 album, and that will make the statement true
Insufficient(2) Bob places the stamps into 9 albums, with each stamp placed in exactly one album.
We have 9 Albums
Hence x = 6
But we don't know the number of colors. It could be 56 colors and despite 9 albums, all colors may be in different albums and make the statement false
Alternatively, there could be just 1 color album, and all albums would have just one color and that will make the statement true
Insufficient
Together 1 and 2 we get
x = 6
y = 9
Total stamps = 56
If we are to place the stamps in the 9 albums without keeping more than 1 color in one album, we can get a total of 9 * 6 = 54 stamps
However, when adding the last two stamps we would have to add a similar color stamp into both the albums.
IMHO Option C