No senator spoke at the convention unless he or she was a Democrat. No

Question

No senator spoke at the convention unless he or she was a Democrat. No Democrat both spoke at the convention and was a senator.

Which one of the following conclusions can be correctly drawn from the statements above?

(A) No one but senators spoke at the convention.

(B) No Democrat spoke at the convention.

(C) Only Democrats spoke at the convention.

(D) No senator spoke at the convention.

(E) Some Democrat senators spoke at the convention.

EncounterGMAT · Answer

Sen speak-demo
X demo-speak & senator
Conclusion?

Conclusion could be no senator actually speak at the convention. Let's look at the options:

(A) No one but senators spoke at the convention. NOT POSSIBLE.

(B) No Democrat spoke at the convention. YES/NO possible. INCORRECT.

(C) Only Democrats spoke at the convention. NOT POSSIBLE.

(D) No senator spoke at the convention.  CORRECT!  Because speaking senator has to be democrat but also can't be both.

(E) Some Democrat senators spoke at the convention. INCORRECT. introduction of unnecessary possibilities.

Souravb50 · Answer

There is no intersection between senator who was Democrat and Democrat who spoke at convention. We are told only Senator who was Democrat can spoke. So correct option is D. Option C is incorrect because there is no information about the type of persons spoke at convention. It is possible that except Democrat there can be others who actually spoke at the convention. Options A, B and E are not making any logical sense.

AbhishekP220108 · Answer

Although I got this wrong but after realisation, here is the solution I come up with

Line 1 No senator spoke at the convention unless he or she was a Democrat

If Senator and spoke at convention, then a democrat

Line 2 No Democrat both spoke at the convention and was a senator.

If democrat, then no senator and spoke at the convention

Now evaluate options

(A) No one but senators spoke at the convention.- Too extreme "No one but senator"

(B) No Democrat spoke at the convention.- Incorrect logic, as per argument If democrat, then no senator and spoke at the convention

(C) Only Democrats spoke at the convention.- again "only" too extreme

(D) No senator spoke at the convention.- This logically follows, because we have to take both the statements correct

(E) Some Democrat senators spoke at the convention. if this is correct, then premise will not follow, since no democrat can be both.

No senator spoke at the convention unless he or she was a Democrat. No

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No senator spoke at the convention unless he or she was a Democrat. No

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