Answer is A
To understand this question one must remember that stars are born !
Yes just like pop stars, rock stars, sports stars, film stars, The stars in sky are also born.
If you know this fact answer will come to you in 5 seconds.
Stars are NAMED depending upon how much hydrogen they have burned and how much stronger their gravitational field:- some of the stars are RED GIANT, WHITE DWARF, BLACK HOLE, NOVA, SUPERNOVA, ETC ETC
Coming back to the question
This is an assumption question.
Easiest way to find answer is to isolate the CONCLUSION and then Negate the answer choices one by one.
The answer option which when negated makes the conclusion fail is the answer
OK
So now lets get to the task
Premise 1) All stars when born contains lot of Lithium
Premise 2) All stars burn Lithium to Helium
Premise 3) Brown stars cannot burn Lithium to Helium
Conclusion) Any star that contains no lithium is not a brown dwarfs.
Simplified Conclusion using contraposition ) Brown star contains lot of Lithium because they cannot burn lithium. (so all their lithium must still remain inside them)
We have to attack this line "Brown star contains lot of Lithium because they cannot burn lithium."
What does answer choice A says
(A) None of the coolest brown dwarfs has ever been hot enough to destroy lithium.
Now when negated Answer choice A it becomes
"Some of the brown dwarf stars were once hot enough to burn Lithium"
Now if brown stars at some point in their time burned all their lithium, they won't have lithium in them anymore. But according to conclusion there must be lithium in brown stars. So the conclusion fall apart because we can see that the star is brown star but contains no lithium.
hence A is the right answer.
Brown dwarfs' dim red stars that are too cool to burn hydrogen's are very similar in appearance to red dwarf stars, which are just hot enough to burn hydrogen. Stars, when first formed, contain substantial amounts of the element lithium. All stars but the coolest of the brown dwarfs are hot enough to destroy lithium completely by
converting it to helium. Accordingly, any star found that contains no lithium is not one of these coolest brown dwarfs.
The argument depends on assuming which one of the following?
(A) None of the coolest brown dwarfs has ever been hot enough to destroy lithium.
(B) Most stars that are too cool to burn hydrogen are too cool to destroy lithium completely.
(C) Brown dwarfs that are not hot enough to destroy lithium are hot enough to destroy helium.
(D) Most stars, when first formed, contain roughly the same percentage of lithium.
(E) No stars are more similar in appearance to red dwarfs than are brown dwarfs.