DS:: Integers Qtn

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nervesofsteel: Legendary Member; Posts: 594; Joined: Thu Aug 14, 2008 11:51 pm; Thanked: 12 times

by nervesofsteel » Wed Apr 08, 2009 5:54 pm

If n is an integer and 100 < n <200, what is the value of n?
(1) n/36 is an odd integer.
(2) n/45 is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA after some discussion...

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Source: Beat The GMAT — Data Sufficiency | Wed Apr 08, 2009 5:54 pm

hypik21: Senior | Next Rank: 100 Posts; Posts: 35; Joined: Wed Nov 05, 2008 11:33 pm; Thanked: 4 times

Re: DS:: Integers Qtn

by hypik21 » Wed Apr 08, 2009 7:05 pm

nervesofsteel wrote:If n is an integer and 100 < n <200, what is the value of n?
(1) n/36 is an odd integer.
(2) n/45 is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA after some discussion...

B imo..

statement 1..36*3=108, 36*5=180..insuff
statement 2...45*4=180..suff

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

Re: DS:: Integers Qtn

by vittalgmat » Wed Apr 08, 2009 7:09 pm

nervesofsteel wrote:If n is an integer and 100 < n <200, what is the value of n?
(1) n/36 is an odd integer.
(2) n/45 is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA after some discussion...

Stmt 1: insufficient
n/36 is odd
n can be 3, 5

stmt2:
sufficient.
coz 4 is the only number that fits such that 100 < n < 200.

So B.

rgds

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Wed Apr 08, 2009 7:16 pm

Why is it not C?

Stmt I

100 < n < 200

n/36 INT

n=144
n=180

INSUFF

Stmt II

n/45 INT

n=135
n=180

INSUFF

Together
lcm of 36 and 45 is 180

SUFF

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Wed Apr 08, 2009 7:30 pm

cramya wrote:Why is it not C?

Stmt I

100 < n < 200

n/36 INT

n=144
n=180

INSUFF

Stmt II

n/45 INT

n=135
n=180

INSUFF

Together
lcm of 36 and 45 is 180

SUFF

Cramya,
stmt 2 says n/45 is even int.

n can be only 135 or 180 as u rightly pointed out.
but 135/45 = 3 and 180/45 = 4.
180/45 =4 fits the bill.
hence B.

let me know if I missed something.

thanks

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Wed Apr 08, 2009 7:41 pm

U r right.

I just read integer/integer in both statemenst and wondering how u landed at B.

Oopsy.. Thanks!

Regards,
CR

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Wed Apr 08, 2009 7:47 pm

cramya wrote:U r right.

I just read integer/integer in both statemenst and wondering how u landed at B.

Oopsy.. Thanks!

Regards,
CR

I dont expect u to do this error on real one!!!!. So take it easy.

rgds
-V

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Wed Apr 08, 2009 7:48 pm

Thanks buddy; I hope so, too.

Have a good night.

Regards,
CR

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Wed Apr 08, 2009 7:52 pm

no plans as yet Cramya,
I am taking it slow.. for now. maybe sometime in july-aug.

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nervesofsteel: Legendary Member; Posts: 594; Joined: Thu Aug 14, 2008 11:51 pm; Thanked: 12 times

by nervesofsteel » Thu Apr 09, 2009 12:08 am

Thanks for replies...
I got B too...

But the OA mentioned in GMAt sets is "C".

I believe there is a mistake...

OA should be B...

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anshulseth: Master | Next Rank: 500 Posts; Posts: 145; Joined: Mon Feb 16, 2009 8:41 amFollowed by: 2 members; Thanked: 2 times

by anshulseth » Fri Apr 10, 2009 1:13 am

It should be B, as per your question.

@nervesofsteel
But are u sure u got the Q right,
coz generally the options lead to some answers, unique or multiple.

Look at Stmt I:
If 100<n<200. There is no way n/36 will lead you to an odd number.
As multiples are 108, 144, 180. So this Stmt doesn't give even one answer.
Such Q on GMAT are rare, or at least I have rarely come across them.

So, plz check the question once again where u picked this up.

Asset

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nervesofsteel: Legendary Member; Posts: 594; Joined: Thu Aug 14, 2008 11:51 pm; Thanked: 12 times

by nervesofsteel » Fri Apr 10, 2009 11:34 pm

yes the qtn is correct.. as i have copied and pasted it.. and this is the exact qtn which was presented .....

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expert: Junior | Next Rank: 30 Posts; Posts: 16; Joined: Tue Mar 24, 2009 3:35 pm; Location: Russia

Re: DS:: Integers Qtn

by expert » Fri Apr 10, 2009 11:54 pm

Answer is B because:

(1) gives us x = 108 or x = 180
(2) gives us x = 180

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