On January 1 of this year, n% of the members of a tennis

Question

On January 1 of this year, n% of the members of a tennis club smoked. Since then, however, one of every three smokers managed to stop smoking, while 10% of those who did not smoke on January 1 now do so. Currently, d% of the members smoke. Is d =n ?

 (1) The club has fewer than 300 members
 (2) 20<n< 25

sharadGmat · Answer

B.. Qn asks (2n)/3 + (100-n)/10 = n ? We can get the value of n and see if it lies in the range mentioned by statement 2..

u2lover · Answer

I got E

(1) doesn't tell us anything... we need to know % of members who smoked or n
case1: 100 people 12%smokers n<d (12<16)
case2: 100 people 90%smokers n>d (90>60)

(2) let's try n=21 and n=24 for the least and most n
case 1: 100 people 21%smokers n>d (21.9>21)
case 2: 100 people 24%smokers n<d (23.6<24)

(1)+(2) don't work either

acfuture · Answer

I also agree with u2lover...

E

st1
only gives us the max number of member in the club

st2
gives that range of the percentage...

sharadGmat · Answer

E it is.. My original answer was wrong..

shahnandan · Answer

get E too. Hope theres isnt catch anywhere.

how much time did you guys take to solve this ?

acfuture · Answer

shahnandan,

how crowded is Germany due to the World Cup?
Sorry that Germany lost... talk about expect the unexpected...

MA · Answer

E

your questions are similar to the challange questions.

v1rok · Answer

I am getting (E). The condition can be written as an equation that depends only on d and n, and by solving for d=n we get the onle answe: ~ 23.1. Since it is inside the range 20<n<25 it proves that we can have it both ways: d=n and d !=n. So, (E)

kevincan · Answer

Can anyone show that (1) is also sufficient?

sharadGmat · Answer

I am missing something in the question.. N being eqaul to D isn't dependent on number of memebers of the club at all.. So how can statement 1 even provide any data to help prove/disprove N=D ? 

d= (2n/3)+(100-n)/10

so, if n=d, then 
 
(2n/3)+10-n/10=n
==> n =300/11.

So n=d, only when n=300/11. Statement 2 tells us that n can't be this value. So SUFF.. 

What am I getting wrong here ?

ps_dahiya · Answer

First of all you agree that st1 is INSUFF.

Now lets go to statement 2.
Stem is d= (2n/3)+(100-n)/10

Using this stem and st2 (20<n< 25) can you tell Is d=n? may be d = n or may not be. Stem could be satisfied with many values of d and n where n is between 20 and 25. Thats why its INSUFF.

Don't put d = n. This is asked. Some times what we do is what is being asked, we use that to answer the question.

Hope this helps.

kevincan · Answer

First of all for p=n , n must be 300/ 13 , in other words, exactly 3/13 of the members must have been smokers at the beginning of the year. But the number of smokers must also be divisible by 10,3 and 13 (i.e by 390). Since there are fewer than 300 members, this is impossible

kevincan · Answer

First of all for p=n , n must be 300/ 13 , in other words, exactly 3/13 of the members must have been smokers at the beginning of the year. But the number of smokers must also be divisible by 10,3 and 13 (i.e by 390). Since there are fewer than 300 members, this is impossible.

(1) is sufficient
(2) is not since 300/13 satisfies this inequality

OA: A

On January 1 of this year, n% of the members of a tennis

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