DS:: Integers Qtn

[nervesofsteel]

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...

[hypik21]

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

[vittalgmat]

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

[cramya]

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

[vittalgmat]

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

[cramya]

U r right.

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

Oopsy.. Thanks!

Regards,
CR

[vittalgmat]

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

[cramya]

Thanks buddy; I hope so, too.

Have a good night.

Regards,
CR

[vittalgmat]

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

[nervesofsteel]

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...

[anshulseth]

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.

[nervesofsteel]

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

[expert]

Answer is B because:

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