Step 1: Set the usual picture of ethmoidal polyps.
These polyps grow from the ethmoid sinus lining, usually driven by allergy or ongoing inflammation, and are mostly a disease of adults.
Step 2: Test the allergy claim.
Allergy is a well known trigger for this kind of polyp, so that statement holds up and is not the odd one out.
Step 3: Test the age claim.
Seeing this kind of polyp in a child under ten years old is unusual, so much so that doctors think of cystic fibrosis first in that age group. So saying they occur in the first decade of life does not hold up.
Step 4: Test the laterality claim.
Unlike the single, one-sided antrochoanal polyp, ethmoidal polyps usually appear on both sides at once, so calling them bilateral is correct.
Step 5: Test the asthma claim.
They often go along with bronchial asthma and aspirin sensitivity as part of a well known triad, so that statement is also correct.
Step 6: Pick the false one.
Only the age statement fails to match reality.
\[ \boxed{\text{Occur in first decade of life}} \]