Aconundrum is a patriotic poem.

true
false

I think that a patriotic poem can be a riddle so it depends on the poem, but in vast majority my answer is True

Explanation:

A conundrum means a puzzling question or problem. The word conundrum can be used in a sentence as the word situation like "James was trying to answer a puzzling riddle and found himself in quite a deep conundrum."

Example here for a patriotic conudrum poem by Richard Ben:

The Conundrum

It is the noblest honour to serve,

But the most natural thing to love,

I present to you this conundrum,

Which is better to love or to serve?

To love is natural, to serve is noble,

Yet there exists no greater foe than these,

Man must choose,

If love triumph nobility is sacrificed,

If service triumph passion is sacrificed,

To ask man not to serve is blasphemy,

To ask man not to love is inhumane,

Shall we become stone’s to serve or

Become traitors to love.

True service enlists love, and there can

Be no love without service.

For which is better the love of a women  

Or the admiration of men.

My weeping is two-fold,

One for never dreaming  and

The other for never loving.

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explanation:

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