It depends on what you are discussing. For a woman to be eligible to be a consecrated virgin, they cannot have ever committed sexual sin (from masturbation to sexual scandal to full-out sex to “partial” sex, etc.). For a woman to be considered a virgin for any other purpose, it usually implies no consensual physical sexual activity with any other person.
In either case, bike riding or horseback riding would obviously not cause a woman to lose her virginity, regardless of whether or not her hymen broke. Also, in either case, rape does not remove a woman’s virginity, as she does not consent to the sin of the assailant and thus commits no sin herself. Her virginity remains intact even after being raped.