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Intern  B
Joined: 31 Dec 2017
Posts: 27
Concentration: Finance
If a, b & c are integers and a < b < c. Are a, b, c consecutive intege  [#permalink]

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If a, b & c are integers and a < b < c. Are a, b, c consecutive integers?

(1) The median of {a!, b!, c!} is an odd number.
(2) c! is a prime number.

A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient

This question is from the GC Diagnostic Test Ver 6.2 - I had to create a new thread as the other one was locked (Link: https://gmatclub.com/forum/gmat-diagnos ... 79347.html).

I have a doubt in the solution to the above question.

(1) says that the median of $$(a!, b!, c!)$$ is an odd number. This implies that $$a,b,c$$ are non-negative integers. As the median $$(b!) = 1$$, the only possible case this can happen is $$a=0, b=1, c=2$$. I don't understand why we are taking the case that $$b=0$$, as that would mean $$a$$ is a negative number and we're given in the statement that median exists for $$a!, b!$$ and $$c!$$, which means it has to be defined.

Someone kindly clarify this. Thanks.
Math Expert V
Joined: 02 Sep 2009
Posts: 60779
Re: If a, b & c are integers and a < b < c. Are a, b, c consecutive intege  [#permalink]

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mbafinhopeful wrote:
If a, b & c are integers and a < b < c. Are a, b, c consecutive integers?

(1) The median of {a!, b!, c!} is an odd number.
(2) c! is a prime number.

A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient

This question is from the GC Diagnostic Test Ver 6.2 - I had to create a new thread as the other one was locked (Link: https://gmatclub.com/forum/gmat-diagnos ... 79347.html).

I have a doubt in the solution to the above question.

(1) says that the median of $$(a!, b!, c!)$$ is an odd number. This implies that $$a,b,c$$ are non-negative integers. As the median $$(b!) = 1$$, the only possible case this can happen is $$a=0, b=1, c=2$$. I don't understand why we are taking the case that $$b=0$$, as that would mean $$a$$ is a negative number and we're given in the statement that median exists for $$a!, b!$$ and $$c!$$, which means it has to be defined.

Someone kindly clarify this. Thanks.

Discussed here: https://gmatclub.com/forum/d01-183481.html
_________________ Re: If a, b & c are integers and a < b < c. Are a, b, c consecutive intege   [#permalink] 11 Dec 2019, 04:41
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# If a, b & c are integers and a < b < c. Are a, b, c consecutive intege  