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## If n is a member of the set {10, 15, 20, 25, 30, 35, 40}

tagged by: Vincen

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Legendary Member
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#### If n is a member of the set {10, 15, 20, 25, 30, 35, 40}

Tue Dec 05, 2017 9:29 am
If n is a member of the set {10, 15, 20, 25, 30, 35, 40}, what is the value of n?

(1) n is a multiple of 3.
(2) n is a multiple of 2.

The OA is option C.

How can I use both statements to get the value of n? Experts can you help me? Thanks.

### GMAT/MBA Expert

aockert Newbie | Next Rank: 10 Posts
Joined
17 Nov 2017
Posted:
5 messages
Tue Dec 05, 2017 4:06 pm
The question here tells you that n is one of the 7 numbers listed.

Statement 1 says that n is a multiple of 3. This means that n is equal to 3x1, 3x2, 3x3...etc. To match this rule up with the set in the question, simply check to see which of those 7 numbers are divisible by 3.
15 and 30 are the only two numbers that are divisible by 3. Since there are two possibilities, Statement 1 is not sufficient to answer the question, so Answer A and Answer D are incorrect.

Now look at Statement 2. Apply the same method as before with 2 instead of 3. Since n is a multiple of 2, find which numbers in the set are divisible by 2.
10, 20, 30, and 40 are all divisible by 2. Here, there are 4 possibilities, so Statement 2 is not sufficient to answer the question. Answer B is incorrect.

If you combine Statement 1 and Statement 2, 30 is a multiple of BOTH 2 and 3. Since it is the only number that is true when looking at both statements, Answer C is correct.

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