How many members of Group G are less than 25 years of age?

Question

(1) Exactly 3/5 of the members of Group G are 25 years of age or older.
(2) The 24 men in Group G constitute 30 percent of the groups membership

BrentGMATPrepNow · Answer

Target question :    How many members of Group G are less than 25 years of age?

Statement 1 : Exactly 3/5 of the members of Group G are 25 years of age or older.  
Since we have no information regarding the total number of members in group G, there's no way to answer the  target question  with certainty. 
So, statement 1 is NOT SUFFICIENT

Statement 2 : The 24 men in Group G constitute 30 percent of the groups membership 
This statement provides no information regarding members who are less than 25 years of age. 
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined    
Let T = the total number of members in group G. 
From statement 2, we can write: 24 = 30% of T
In other words: 24 =0.3T
Divide both sides by 0.3 to get: 80 = T
In other words, there are  80  members in Group G

Statement 1 tells us that 3/5 of the members of Group G are 25 years of age or older.
So the number of members who are 25 years or older = 3/5 of  80  = 48 
The answer to the target question is  there are 48 members who are less than 25 years of age 
Since we can answer the  target question  with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent

r3arnaiz · Answer

I will go with answer E because the question mentions "members" and makes no distinction between men and women, and statement (2) mentions 24 *men*. Since we don't know how many women the group has, (1) and (2) are both insufficient

shameekv1989 · Answer

But the second statement says "The 24 men in Group G constitute 30 percent of the   groups membership  "

Therefore 24 people constitute 30% of the total membership (Not just men's contribution in overall membership). This will give you overall group's membership (Men+Women).

And 1st statement gives you a fraction of overall members that are less than 25 age

Therefore C should be the answer.

harshapakshi · Answer

Why is it not option A?

If the question asked is “how many” and we found the exact answer, which is 2/5.

Does it always have to be an exact number?

Posted from my mobile device

Bunuel · Answer

Yes. In a “what is the value?” GMAT DS question, the statement is sufficient only if you can get the single numerical value. From (1) we only know that 2/5th of the group are 25 years of age or older but we need the exact number not the ratio, hence the statement is not sufficient.

How many members of Group G are less than 25 years of age?

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GMAT Data Sufficiency (DS) Questions

How many members of Group G are less than 25 years of age?

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