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:

Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT

Re: What is the remainder when positive integer n is divided by 4?
[#permalink]

Show Tags

02 Apr 2015, 11:46

1

1

SavageBrother wrote:

What is the remainder when positive integer n is divided by 4?

(1) When n is divided by 8, the remainder is 1.

(2) When n is divided by 2, the remainder is 1.

Picked a number

1) 9 / 8 = 1 remainder 1 17 / 8 = 2 remainder 1

9 / 4 = 2 remainder 1 17 / 4 = 4 remainder 1

Sufficient.

2) 9 / 2 = 4 remainder 1 17 / 2 = 8 remainder 1

9 / 4 = 2 remainder 1 17 / 4 = 4 remainder 1

Both sufficient, D?

Hi SavageBrother,

When dealing with the individual Facts in a DS question, you have to be careful about assuming that the logic/examples you use for one are the only options that you can use for the other.

Here, Fact 2 tells us: when N is divided by 2, the remainder is 1.

You should start here by TESTing the easiest values possible (not just the ones you used in Fact 1).

Here, N could be 1, 3, 5, 7, 9 etc.

IF... N = 1 1/4 = 0 remainder 1

IF.... N = 3, 3/4 = 0 remainder 3 Fact 2 is INSUFFICIENT

Re: What is the remainder when positive integer n is divided by 4?
[#permalink]

Show Tags

02 Apr 2015, 13:06

2

1

Bunuel wrote:

What is the remainder when positive integer n is divided by 4?

(1) When n is divided by 8, the remainder is 1.

(2) When n is divided by 2, the remainder is 1.

Kudos for a correct solution.

1) When some number n is divided x and give some remainder we will receive the same remainder if we divide this number n on factors of x (if factors not less than remainder) so 8 = 2 * 2 * 2 and if divede n on 2 or 4 or 8 we will receive remainder 1 sufficient

2) We can't say about remainder if want to divide on the number that more than divider which we know. insufficient

Answer A

Additional example about quality that I mention in 1 statement: If we have information that n is divided by 30 and the remainder is 1 we can say that all factors of 30 will be give remainder 1 with the number n

for example n = 31 31 / 30 = 1 and remainder 1

factors of 30 = 2 * 3 * 5 31 / 2 = 15 and remainder 1 31 / 3 = 10 and remainder 1 31 / 5 = 6 and remainder 1
_________________

Re: What is the remainder when positive integer n is divided by 4?
[#permalink]

Show Tags

03 Apr 2015, 00:17

EMPOWERgmatRichC wrote:

SavageBrother wrote:

What is the remainder when positive integer n is divided by 4?

(1) When n is divided by 8, the remainder is 1.

(2) When n is divided by 2, the remainder is 1.

Picked a number

1) 9 / 8 = 1 remainder 1 17 / 8 = 2 remainder 1

9 / 4 = 2 remainder 1 17 / 4 = 4 remainder 1

Sufficient.

2) 9 / 2 = 4 remainder 1 17 / 2 = 8 remainder 1

9 / 4 = 2 remainder 1 17 / 4 = 4 remainder 1

Both sufficient, D?

Hi SavageBrother,

When dealing with the individual Facts in a DS question, you have to be careful about assuming that the logic/examples you use for one are the only options that you can use for the other.

Here, Fact 2 tells us: when N is divided by 2, the remainder is 1.

You should start here by TESTing the easiest values possible (not just the ones you used in Fact 1).

Here, N could be 1, 3, 5, 7, 9 etc.

IF... N = 1 1/4 = 0 remainder 1

IF.... N = 3, 3/4 = 0 remainder 3 Fact 2 is INSUFFICIENT

Re: What is the remainder when positive integer n is divided by 4?
[#permalink]

Show Tags

30 Aug 2016, 12:32

Top Contributor

Bunuel wrote:

What is the remainder when positive integer n is divided by 4?

(1) When n is divided by 8, the remainder is 1.

(2) When n is divided by 2, the remainder is 1.

Kudos for a correct solution.

Target question:What is the remainder when positive integer n is divided by 4?

Statement 1: When n is divided by 8, the remainder is 1.

APPROACH #1 There's a nice rule that say, "If N divided by D equals Q with remainder R, then N = DQ + R" For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2

Statement 1 essentially says, When n is divided by 8, we get some integer (say k) and the remainder is 1. So, we can use our nice rule to write: n = 8k + 1 (where k is an integer) At this point, we can take n = 8k + 1 and rewrite it as n = (4)(2)k + 1 We can rewrite THIS as n = (4)(some integer) + 1 This means that n is 1 greater than some multiple of 4. In other words, if we divide n by 4, we'll get remainder 1 Since we can answer the target question with certainty, statement 1 is SUFFICIENT

APPROACH #2 Let's test a few possible values of n. When it comes to remainders, we have another nice rule that says: If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

So, if n divided by 8 leaves remainder 1, then some possible values of n are: 1, 9, 17, 25, 33 etc.

Let's test a few of these possible values to see what happens when we divide them by 4 n = 1: n divided by 4 leaves remainder 1 n = 9: n divided by 4 leaves remainder 1 n = 17: n divided by 4 leaves remainder 1 n = 25: n divided by 4 leaves remainder 1 n = 33: n divided by 4 leaves remainder 1 It certainly seems that statement 1 guarantees that the remainder will be 1 Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: When n is divided by 2, the remainder is 1. In other words, statement 2 tells us that n is ODD Let's test some possible values of n Case a: n = 3, in which case n divided by 4 leaves remainder 3 Case b: n = 5, in which case n divided by 4 leaves remainder 1 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Re: What is the remainder when positive integer n is divided by 4?
[#permalink]

Show Tags

28 Jul 2019, 07:11

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________