Assume the number of players on the team to be X.

From the given data:

1/6th of the team had 1 slice each ==> X/6 slices of pizza

1/6th of the team had 2 slices each ==> 2X/6 slices of pizza

1/6th of the team had 3 slices each ==> 3X/6 slices of pizza

3/6th(remaining members) of the team had

at least 4 slices each ==> (3X*a)/6 slices of pizza, where a=4,5,6...

consider the second statement first:

The players ate an avg. of 3 slices per personbased on what we worked out earlier, average slices per person can be calculated as:

Avg Slice per person= Total Slices/No. of persons= [(X/6)+(2X/6)+(3X/6)+(3X.a/6)]/[(X/6)+(X/6)+(X/6)+(3X/6)]

Now lets assume that 3/6th of the players had 4 pizza slices each (a=4).

Avg slice per person= X*[(1/6)+(2/6)+(3/6)+(12/6)]/[6X/6]

= 3

Since the average works out to be true for a=4, we can conclude that the nobody on the team had more than 4 slices of pizza and hence no one ate the entire pizza

Statement 1 is insufficient as it does not give any information about how many slices the rest of the team had.

Hence, answer is [/b]B[/b]

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