Es extraño que hayas resuelto el acertijo sin la lupa.

Questions & Answers about Es extraño que hayas resuelto el acertijo sin la lupa.

Why do we use hayas resuelto here instead of the normal present perfect has resuelto?
The phrase Es extraño que expresses a subjective reaction to a fact, which forces the following verb into the subjunctive mood. We use the present perfect subjunctive (hayas plus the past participle) to talk about an action that is already finished but still triggers an emotion right now.
Is resuelto an irregular past participle? I expected resolvido.
Yes, resolver (to solve) has the irregular past participle resuelto. You will see this same pattern in other verbs ending in -olver, such as volver (vuelto) and devolver (devuelto).
How do we know who solved the riddle if the word is missing?
The helper verb hayas is the present subjunctive form of haber that specifically goes with (informal you). Since that verb ending makes the subject obvious, the pronoun is left out naturally.
Could I use rompecabezas instead of acertijo here?
They are slightly different. An acertijo is a riddle, mystery, or brain-teaser based on logic or words. A rompecabezas is usually a physical jigsaw puzzle (literally a head-breaker).

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