It's difficult to answer. Although I think denesp has the right idea, but I think it's also possible for a specific item to be less elastic than its category group in some circumstances.
If a category contains three goods: X, Y, Z. If X and Y are very elastic while Z is relatively inelastic then it's possible for the category to be far more elastic than Z. For instance, although salt could be considered a spice, it's probably far more inelastic than pepper or sugar.
Furthermore, it's also possible that goods within the same category are complements.
Although I think for this particular question, denesp's answer is good enough.