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Wrong, what you forget is that you can have small green broken pumpkins :) the 15th has two qualities. 12, the same .... don't ignore overlaps

there are 840 pumpkins

every 3rd pumpkins it is too small,

Thus, 840/3=280, so 280 are your small pumpkins.

every 4th pumpkin is green,

so 840/4=210, so 210 are the green pumpkins.

every 5th had a broken stem,

so 840/5=168, so 168 are the pumpkins which has a broken stem.

every 6th has wrong shape,

so 840/6=140, so 140 has a wrong shape.

Thus your equation is

840 - (840/3 + 840/4 + 840/5 + 840/6)= N

840 - (280 + 210 + 168 + 140)= N

840 - 798= N

42=N

Thus, there are 42 perfect pumpkins.

I think it would 280 perfect pumpkins that joe had got.

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I can answer questions which are mathematical, logical, or wordplay related. I am not good at highly creative problems, or riddles.

I regularly do puzzles, and help out friends, teenagers. I read books written by Martin Gardener. I love the puzzles and Easter eggs in Douglas Hofstadter's Godel, Escher, Bach: an enternal golden braid.**Publications**

A few examples of my writing:
http://surajitbasu.sulekha.com/blog/post/2006/04/the-journey-down-the-number-line.htm**Education/Credentials**

B. Tech. ( Computer Science), IIT Kanpur, India
MBA ( Post-Graduate Diploma in Business Management), (Finance, Systems), IIM Calcutta, India