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Is the ratio of women to men as members of a certain yoga studio great

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Is the ratio of women to men as members of a certain yoga studio great [#permalink]

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New post 28 Feb 2016, 09:53
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Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.

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Re: Is the ratio of women to men as members of a certain yoga studio great [#permalink]

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New post 29 Feb 2016, 01:22
Bunuel wrote:
Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.



A) gives us the ratio of women to the total number of members in the studio.
we do not know the exact number of members in the studio. ; hence INSUFFICIENT

B) GIves us no information about the number of women of the total members in the studio
hence ; INSUFFICIENT

TOGETHER A & B are sufficient.

67x / 81x = ratio of women / total memebers

Kudos if i helped

14x = No. of men = 42

x = 3

67 x 3 = 201 = No. of Women

Ratio of women to men = 201/42
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Re: Is the ratio of women to men as members of a certain yoga studio great [#permalink]

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New post 29 Feb 2016, 21:09
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.


In general, one con is number and the other con is ratio, it is mostly likely that ratio is the answer according to the method of approach to variable.
For 1), w/(w+m)=67/81 -> w:m=67:(81-67)=67:14=67/14<5, which is always no and sufficient.
Thus, A is the answer.


 from con 1) and con 2), if one of the conditions is given by numbers and the other is given by ratio (percent,fraction), then the condition with ratio (percent,fraction) value has higher chance of being the answer.
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Re: Is the ratio of women to men as members of a certain yoga studio great [#permalink]

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New post 01 Mar 2016, 19:38
arjunperiyasamys wrote:
Bunuel wrote:
Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.



A) gives us the ratio of women to the total number of members in the studio.
we do not know the exact number of members in the studio. ; hence INSUFFICIENT



Hi,
The studio will either have women or men..
ratio of women is given..
ratio of men= 1-ratio of women= 1-67/81=14/81..
ratio of women: ratio of men= (67/81)/(14/81)=67/14..
Suff

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Re: Is the ratio of women to men as members of a certain yoga studio great [#permalink]

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New post 14 Apr 2017, 05:49
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Bunuel wrote:
Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.


We need to determine whether the ratio of women to men is greater than 5.

Statement One Alone:

Women make up 67/81 of the studio's members.

Since women make up 67/81 of the members, men make up 81/81 - 67/81 = 14/81 of the members.

Thus, the ratio of women to men is 67/14, which is NOT greater than 5. Statement one alone is sufficient to answer the question.

Statement Two Alone:

The studio has exactly 42 men who are members.

Since we do not know how many members are women, we cannot determine the ratio. Statement two alone is not sufficient to answer the question.

Answer: A
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Re: Is the ratio of women to men as members of a certain yoga studio great   [#permalink] 14 Apr 2017, 05:49
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