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:

When positive integer n is divided by 7, the remainder is 2. [#permalink]
31 Jul 2008, 09:59

When positive integer n is divided by 7, the remainder is 2. n=? (1) n is less than 20. (2) when n is divided by 8, the remainder is 0. 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.

Second could be a whole bunch of numbers. (i.e., 16, 72, 128, 184, etc.)

Only when we take the two of them together can we rule out every number in the list for #2 that is above 20 and come up with 1 single value for n.

arjtryarjtry wrote:

When positive integer n is divided by 7, the remainder is 2. n=? (1) n is less than 20. (2) when n is divided by 8, the remainder is 0. 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.

_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

When positive integer n is divided by 7, the remainder is 2. n=? (1) n is less than 20. (2) when n is divided by 8, the remainder is 0. 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.

S1. n < 20 hence n coud be 2,9,16; all divided by 7 leave a remainder of 2. MAYBE CASE AD out S2. you can rearrange to say that n is a multiple of 8. Hence 16 and 72 both divided by 7 leave a remainder of two and both are divisible by 8 and leave a remainder of 0. Again Maybe case B out

Combine: you still get only 16 as the common value. Hence C

When positive integer n is divided by 7, the remainder is 2. n=? (1) n is less than 20. (2) when n is divided by 8, the remainder is 0. 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.

C is correct. reason: we should n=7x+2 1)==we also know n<20,so 7x+2<20 and n is positive , so 0<7x+2<20.==>n only can be 2,9, 16 2)==>n=8y..so n=7x+2,we can know their common divider is 56(7x8,they are prime number) so n=56b+16..many numbers are suited for this equlation. So 1and 2 ,we can get 16 is the only number.

When positive integer n is divided by 7, the remainder is 2. n=? (1) n is less than 20. (2) when n is divided by 8, the remainder is 0. 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.

state 1) n is less than 20 --insufficient 2, 9, 16 -- divided by 7 leads to remainder 2 state 2) when n is divided by 8 remainder 0--> 8, 16,24.... --insufficient

combine both.. n=16 (suff)

C _________________

Your attitude determines your altitude Smiling wins more friends than frowning