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

Question

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.

RR88 · Answer

Option C

n belongs to set {10,15,20,25,30,35,40}

I: n is a multiple of 3: 15, 30: No unique solution - Insufficient.

II: n is a multiple of 2: 10,20,30,40: No unique solution - Insufficient.

I+II: n is a multiple of 2 & 3: 30 - Sufficient.

pushpitkc · Answer

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.
n could be 15 or 30, since both these numbers are multiples of 3. Hence insufficient.
(2) n is a multiple of 2. 
It could be 10,20,30 or 40, for the same reason.
This alone is not enough to answer the question

On combining, we can narrow down to 30, since of the numbers in the set,
only 30 is a multiple of 2,3. Hence, we arrive at an unique solution(Option C)

matthewsmith_89 · Answer

1 is insufficient because n could be 15 or 30
2 is insufficient because n could be 10, 20, 30 or 40

1 & 2 together sufficient. LCM of 2 & 3 is 6. Only 30 is divisible by 6.

Answer is C. This one is really easy.

mvictor · Answer

the answer is C.

1. it can be either 15 or 30.
2. it can be 10, 20, 30, 40.

1+2 = only 30 works.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards