The important modes of asexual reproduction include budding, fragmentation and fission.

Concept: Asexual reproduction is the mode of reproduction that does not require the formation or fusion of gametes. In the case of asexual reproduction, there is no genetic change in the progeny and as a result of this, the progeny is the exact copy of the parent.

Some important modes of asexual reproduction include budding, fragmentation, and fission. Budding is the ode of sexual reproduction in which the parent's body forms an outgrowth in the form of the progeny organism. Once the progeny has grown completely it detaches itself from the parent’s body. This mode of reproduction is seen in hydra. Fragmentation is the mode of reproduction in which the parent’s body divides into smaller fragments and each of these fragments grows into a full-grown adult. This mode of reproduction is seen in spirogyra. Fission is the mode of asexual reproduction in which the parent body divides into smaller progeny cells. Fission can either be binary in which the parent cell divides into two daughter cells or it can be multiple in which the parent’s body divides into multiple progeny cells. This mode of reproduction is seen in amoeba.

The above statement is true.

Hence, the correct answer is option A.