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What is the number of members of Club \(X\) who are at least \(35\) years of age?

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by Gmat_mission » Thu Sep 10, 2020 12:31 am

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C

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Difficulty—

What is the number of members of Club \(X\) who are at least \(35\) years of age?

(1) Exactly \(\dfrac34\) of the members of club \(X\) is under \(35\) years of age.

(2) The \(64\) women in Club \(X\) constitute \(40\) percent of the club's membership.

Answer: C

Source: GMAT Paper Tests
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Source: — Data Sufficiency |
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Re: What is the number of members of Club \(X\) who are at least \(35\) years of age?

by deloitte247 » Fri Sep 11, 2020 1:13 pm
Target question => Find the total number of members of club X who are at least 35 years of age?


Statement 1 => Exactly 3/4 of the members are under 35 years of age
Therefore, members that will be > or = 35 years = 1/4 of total members but the value of total members is unknown, hence target question cannot be evaluated. Statement 1 is NOT SUFFICIENT


Statement 2 => The 64 women in club X constitute 40% of the club's membership
Total number of members = men + women
Let total = t; men = m and women = w
t = m + 64 and 64 = 40% of t
Therefore, t = 64/40% = 160
160 = m + 64
m = 160 - 64
m = 96
t = 160; m = 96 and w = 64
But no specific information about members > or = 35 years old. Statement 2 is NOT SUFFICIENT


Combining both statements together =>
From statement 1 => members > or = 1/4 of total members
From statement 2 => total members = 160
members > or = 35 years old = 1/4 * 160 = 40
40 members are at least 35 years old


Both statements combined together ARE SUFFICIENT,
Answer = C
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