gprep-4 ps-2
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Case 1: m=1, p=2, s=1 and v=1If m, p, s and v are positive, and m/p < s/v, which of the following must be between m/p and s/v?
I. (m+s)/(p+v)
II. ms/pv
III. s/v - m/p
A. None
B. I only
C. II only
D. III only
E. I and II both
In this case, m/p = 1/2 and s/v = 1/1 = 1.
Eliminate any statement that does not yield a value between 1/2 and 1.
I: (m+s)/(p+v) = (1+1)/(2+1) = 2/3.
Since 2/3 is between 1/2 and 1, hold onto I.
II: ms/pv = (1*1)/(2*1) = 1/2.
Since 1/2 is NOT between 1/2 and 1, eliminate any answer choice that includes II.
Eliminate C and E.
III: s/v - m/p = 1/1 - 1/2 = 1/2.
Since 1/2 is NOT between 1/2 and 1, eliminate any remaining answer choice that includes III.
Eliminate D.
Test whether Statement I holds true when m/p and s/v are VERY CLOSE.
Case 2: m=9, p=10, s=1, and v=1
In this case, m/p = 9/10 = 9/10 and s/v = 1/1 = 1.
I: (m+s)/(p+v) = (9+1)/(10+11) = 10/11.
Since 10/11 is between 9/10 and 1, statement I holds true.
Since statement 1 holds true even when the distance between m/p and s/v is extremely small, we should be satisfied:
Statement I must yield a value between m/p and s/v.
The correct answer is B.
Last edited by GMATGuruNY on Thu Sep 07, 2017 3:13 pm, edited 1 time in total.
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Dear mitch ,
I have a question . you have written - Case 1: m=1, p=2, s=1 and v=1 ...
if the question has given different variables - namely s and V then is it prudent to substitute same value for s and v which is equal to 1 .
if varaibales are different should we not take different values for the variable ?
I have a question . you have written - Case 1: m=1, p=2, s=1 and v=1 ...
if the question has given different variables - namely s and V then is it prudent to substitute same value for s and v which is equal to 1 .
if varaibales are different should we not take different values for the variable ?
- GMATGuruNY
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Just the opposite.abhasjha wrote:Dear mitch ,
I have a question . you have written - Case 1: m=1, p=2, s=1 and v=1 ...
if the question has given different variables - namely s and V then is it prudent to substitute same value for s and v which is equal to 1 .
if varaibales are different should we not take different values for the variable ?
Since we are not told that the values must be distinct, we should consider the consequences of making them equal to one another.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
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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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.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
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].
Student Review #1
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