Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> \frac{n}{36}=odd --> n=36*odd --> n is even multiple of 36 in the range 100-200 --> there are two such numbers possible: n=36*odd=36*3=108 and n=36*odd=36*5=180. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> \frac{n}{45}=even --> n=45*even --> n is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: n=45*even=45*4=180 (as 45*2<100 and 45*6>200). Sufficient.

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

The answer is OA C, however i think the only even multiple of 45 between 100 and 200 is 180 so shuoldn't it be B?plzz explain

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

The answer is OA C, however i think the only even multiple of 45 between 100 and 200 is 180 so shuoldn't it be B?plzz explain

Merging similar topics. Original question is in the first post. OA is B, not C.

Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]
10 Oct 2013, 16:37

n/36 is odd. there are only below numbers which are divisible by 36 and between 100 and 200 36*3 = 108 36*5 = 180 so n can be 108 or 180. Hence not sufficient

n/45 is even. There is only 1 choice for n which is between 100 and 200 45*4 = 180 for other mulitples of 45 between 100 and 200, n/45 will be odd (3 or 5). Hence B is sufficient.
_________________

“Confidence comes not from always being right but from not fearing to be wrong.”

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.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> \frac{n}{36}=odd --> n=36*odd --> n is even multiple of 36 in the range 100-200 --> there are two such numbers possible: n=36*odd=36*3=108 and n=36*odd=36*5=180. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> \frac{n}{45}=even --> n=45*even --> n is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: n=45*even=45*4=180 (as 45*2<100 and 45*6>200). Sufficient.

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.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> \frac{n}{36}=odd --> n=36*odd --> n is even multiple of 36 in the range 100-200 --> there are two such numbers possible: n=36*odd=36*3=108 and n=36*odd=36*5=180. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> \frac{n}{45}=even --> n=45*even --> n is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: n=45*even=45*4=180 (as 45*2<100 and 45*6>200). Sufficient.

Answer: B.

Why not 90 in statement 2?

Cheers! J

Because we are told that 100 < n <200, 90 is not in the range.
_________________