PRINCESTONE-N

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Sun Jul 04, 2010 4:49 am

Is n an integer?

(1) 2n is an integer.
(2) 3n is an integer.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT SUFFICIENT

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Source: Beat The GMAT — Data Sufficiency | Sun Jul 04, 2010 4:49 am

jube: Master | Next Rank: 500 Posts; Posts: 186; Joined: Fri May 28, 2010 1:05 am; Thanked: 11 times

by jube » Sun Jul 04, 2010 5:49 am

IMO C.

1) Insuff. since n=2 will result in 2n being an integer & n=1/2 will also result in 2n being an integer
2) Insuff since n=3 will result in 3n being an integer & n=1/3 will also result in 3n being an integer
1) & 2) since LCM of 2 & 3 is 6 and 2/6 & 3/6 is NOT an integer, therefore n has to be an integer - sufficient.

What is the OA?

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kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Sun Jul 04, 2010 7:24 am

pradeepkaushal9518 wrote:Is n an integer?
(1) 2n is an integer.
(2) 3n is an integer.

2n is an integer.

take n=1 ->2n=2
n=1/2 -> 2n=1

INSUFFICIENT

3n is an integer.
take n=1 -> 3n=3
take n=1/3 ->3n=1

INSUFFICIENT.

Combined:

Just do 3n-2n =n
Subtraction of two integers is again an integer..SUFFICIENT

pick C

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mj78ind: Master | Next Rank: 500 Posts; Posts: 265; Joined: Mon Dec 28, 2009 9:45 pmFollowed by: 2 members; Thanked: 26 times; GMAT Score:760

by mj78ind » Sun Jul 04, 2010 7:29 am

kvcpk wrote:
pradeepkaushal9518 wrote:Is n an integer?
(1) 2n is an integer.
(2) 3n is an integer.
2n is an integer.

take n=1 ->2n=2
n=1/2 -> 2n=1

INSUFFICIENT

3n is an integer.
take n=1 -> 3n=3
take n=1/3 ->3n=1

INSUFFICIENT.

Combined:

Just do 3n-2n =n
Subtraction of two integers is again an integer..SUFFICIENT

pick C

@kvcpk
ELEGANT My Man Elegant!

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kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Sun Jul 04, 2010 7:37 am

mj78ind wrote: @kvcpk
ELEGANT My Man Elegant!

Thanks Buddy!!

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Sun Jul 04, 2010 7:45 am

oa is C

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san2009: Master | Next Rank: 500 Posts; Posts: 171; Joined: Fri Apr 16, 2010 1:02 am; Thanked: 1 times

by san2009 » Mon Jul 05, 2010 2:45 am

kvcpk wrote:
pradeepkaushal9518 wrote:Is n an integer?
(1) 2n is an integer.
(2) 3n is an integer.
2n is an integer.

take n=1 ->2n=2
n=1/2 -> 2n=1

INSUFFICIENT

3n is an integer.
take n=1 -> 3n=3
take n=1/3 ->3n=1

INSUFFICIENT.

Combined:

Just do 3n-2n =n
Subtraction of two integers is again an integer..SUFFICIENT

pick C

hey -- what made you think that you should look at the difference between the two integers??
thanks

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kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Mon Jul 05, 2010 3:36 am

san2009 wrote:
kvcpk wrote:
pradeepkaushal9518 wrote:Is n an integer?
(1) 2n is an integer.
(2) 3n is an integer.
2n is an integer.

take n=1 ->2n=2
n=1/2 -> 2n=1

INSUFFICIENT

3n is an integer.
take n=1 -> 3n=3
take n=1/3 ->3n=1

INSUFFICIENT.

Combined:

Just do 3n-2n =n
Subtraction of two integers is again an integer..SUFFICIENT

pick C
hey -- what made you think that you should look at the difference between the two integers??
thanks

Thats a difficult question to answer.. though the answer is simple

I thought about it this way..
We are given 3n and 2n.
All we need is to get "n" using these two numbers.
First I though of multiplying these two. we will get 6n^2..No use... became sure that I cant proceed like this..So I went back and read the question again. Got reminded that getting "n" will solve the issue.
So used 3n-2n = n.

It will be good to see the fruit.. but under timed conditions, it depends on luck

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Fiver: Master | Next Rank: 500 Posts; Posts: 114; Joined: Mon Sep 22, 2008 3:51 am; Thanked: 8 times; GMAT Score:680

by Fiver » Mon Jul 05, 2010 6:21 am

Nice work kvcpk.
Here's another approach:
Assume n = 1/x
With both stmts we know that 2 or 3 when divided by x must be an integer.
This means that xa = 2 and xb = 3, when a & b are integers.
For these 2 stmts to be true 'x' has to be a fraction; hence 1/x (i.e. 'n') is an integer.

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