If 5 percent of the personnel stationed at army base M are officers, how many of the personnel stationed at army base M are not officers?
1) 15 percent of the officers at army base M are women.
2) 65 percent of the women employed at army base M are officers
OA is E
If 5 percent of the personnel stationed at army base M are o
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Statements combined:vinni.k wrote:If 5 percent of the personnel stationed at army base M are officers, how many of the personnel stationed at army base M are not officers?
1) 15 percent of the officers at army base M are women.
2) 65 percent of the women employed at army base M are officers
Case 1: Total number of personnel = 5,200
Case 2: Total number of personnel = 5,200,000
Clearly, the number of non-officers in Case 2 will be greater than the number of non-officers in Case 1.
Since the number of non-officers can be different values, the two statements combined are INSUFFICIENT.
The correct answer is E.
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- vinni.k
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Mitch,GMATGuruNY wrote: Statements combined:
Case 1: Total number of personnel = 5,200
Case 2: Total number of personnel = 5,200,000
Clearly, the number of non-officers in Case 2 will be greater than the number of non-officers in Case 1.
Since the number of non-officers can be different values, the two statements combined are INSUFFICIENT.
The correct answer is E.
Thanks for your explanation. A small, sweet, and a simple answer. Very much preferable on the exam day, however if i want to go deep in understanding the question from analytical point of view, then what do you think about my understanding. I will be glad if you can correct my below analysis.
I would also like to request others to feel free give your opinion.
Thanks in advance
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While you seem to have arrived at the correct answer, your approach might prove problematic for other problems.vinni.k wrote:Mitch,GMATGuruNY wrote: Statements combined:
Case 1: Total number of personnel = 5,200
Case 2: Total number of personnel = 5,200,000
Clearly, the number of non-officers in Case 2 will be greater than the number of non-officers in Case 1.
Since the number of non-officers can be different values, the two statements combined are INSUFFICIENT.
The correct answer is E.
Thanks for your explanation. A small, sweet, and a simple answer. Very much preferable on the exam day, however if i want to go deep in understanding the question from analytical point of view, then what do you think about my understanding. I will be glad if you can correct my below analysis.
I would also like to request others to feel free give your opinion.
Thanks in advance
For example:
Your first equation: (5/100)(M + F) = officers
Here, F = the total number of females.
For this reason, a stand-alone F should represent the total number of females in all subsequent equations.
A subsequent equation in your analysis: 0.15(Officers M + Officers F) = F
If in this equation F = the total number of females, the implication is that the total number of females is equal to 15% of the officers -- an invalid statement.
To organize the data, I recommend the use of a double-matrix.
The information in the prompt could be represented as follows:
Statement 1 could then be represented as follows:
Hope tis helps!
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
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As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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- vinni.k
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Mitch,
Thanks for checking my work. I was pretty sure that i was doing something wrong, but i wanted someone to look at it.
Thanks. Really appreciate it. <i class="em em-blush"></i>
Thanks for checking my work. I was pretty sure that i was doing something wrong, but i wanted someone to look at it.
Thanks. Really appreciate it. <i class="em em-blush"></i>
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If 5 percent of the personnel stationed at army base M are officers, then 95 percent of the personnel are not officers. However, we need the actual number of officers. Thus we need to know the total number of personnel at the army base.vinni.k wrote:If 5 percent of the personnel stationed at army base M are officers, how many of the personnel stationed at army base M are not officers?
1) 15 percent of the officers at army base M are women.
2) 65 percent of the women employed at army base M are officers
Statement One Alone:
15 percent of the officers at army base M are women.
This does not tell us about the total number of personnel members in the army base. Statement one alone is not sufficient.
Statement Two Alone:
65 percent of the women employed at army base M are officers.
This does not tell us about the total number of personnel members in the army base. Statement two alone is not sufficient.
Statement One and Two Together:
With the two statements, we still can't determine the total number of personnel at the army base.
Answer: E
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