Answer :
- J. Person B is a mathematician who likes science ✓
Step-by-step explanation :
we are provided with three statements,
- All people who like math are scientists.
- Person A is not a scientist.
- Person B likes math and science.
Considering the statements above, we'll decode if the options given make true sense with respect to the statements.
#F.
It says that Person A is a scientist who doesn't like math .
Since the information given isn't enough for us to draw a conclusion out of it and thus, this statement is not necessarily true.
#G.
It says that Person A is a scientist who dislikes math which again isn't suffice for us to draw a conclusion as math plays a fair role in the field of science and thus, if he were a scientist he wouldn't despise math and thus, this statement isn't necessarily true.
#H.
It says Person B isn't a scientist which could be true but not necessarily true as Statement 1st states that All people who like Math are scientists but it's also mention that Person B likes Science as well thus , making it treacherous for us to draw an accurate conclusion and therefore,this statement isn't necessarily false.
#J.
It says that Person B is a mathematician who likes Science which must be true as an individual can be an expert at a subject and like another one ,in this case , Person B likes Math and thus,it makes him a Mathematician with an affection for Science and therefore,this statement is necessarily true.
