Question

which organism exhibits characteristics of both plants and animals

Answer 1

Organism which exhibits characteristics of both plants and animals is euglena.
Animal characteristics:-
All live in water, and move by means of a flagellum. This is an animal characteristic. 
Plant characteristics :-
Most have chloroplasts, which are characteristic of algae and plants. So, they do photosynthesis where there is presence of light which is a plant characteristic.
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Answer 2

it is euglena that exhibit both animals and plants characteristics.