GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Oct 2018, 09:13

Q&A in Progress!

AMA with ExamPAL. Ask all your questions about GMAT Prep to expert. Join HERE

GMAT Club Daily Prep

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

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

If x and y are different prime numbers, is (50-x)/y an integer?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Aug 2009
Posts: 6956
If x and y are different prime numbers, is (50-x)/y an integer?  [#permalink]

Show Tags

04 Feb 2018, 09:45
1
3
00:00

Difficulty:

95% (hard)

Question Stats:

32% (01:49) correct 68% (01:43) wrong based on 126 sessions

HideShow timer Statistics

If x and y are different prime numbers, is $$\frac{(50-x)}{y}$$ an integer?

(1) $$y=x+1$$.
(2) When y is divided by x, remainder is 1.

New question
source-self

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Senior Manager
Joined: 17 Oct 2016
Posts: 322
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If x and y are different prime numbers, is (50-x)/y an integer?  [#permalink]

Show Tags

04 Feb 2018, 09:53
1
A

Not much info from question stem

Statement 1:

y=x+1

So x and y are consecutive prime numbers.

We know that the only consecutive prime numbers are 2 and 3. So x=2,y=3. Sufficient

Statement 2:

Many possibilities are there. If y=3, x=2 remainder is 1. Also for y=23, x=11 remainder is 1. Same for 5&2. Clearly insufficient.

Posted from my mobile device
_________________

Help with kudos if u found the post useful. Thanks

examPAL Representative
Joined: 07 Dec 2017
Posts: 713
Re: If x and y are different prime numbers, is (50-x)/y an integer?  [#permalink]

Show Tags

04 Feb 2018, 15:16
chetan2u wrote:
If x and y are different prime numbers, is $$\frac{(50-x)}{y}$$ an integer?

(1) $$y=x+1$$.
(2) When y is divided by x, remainder is 1.

New question
source-self

Since it's not entirely clear how to approach this question, we'll try picking numbers.
This is an Alternative approach.

(1) say x = 2 and y = 3, the smallest primes. Then 50 - 2 = 48 is divisible by 3.
Let's try challenging this by looking for another pair of numbers, such as... there is no other pair!
The only two prime numbers which are also consecutive are 2 and 3. Sufficient!

(2) x = 2 and y = 3 fulfill this and give us one answer of Yes. Let's try another pair.
Keeping x =2, we can choose y = 5. In this case 50 - 2 = 48 is not divisible by 5.

(A) is our answer.
_________________

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS

Watch free GMAT tutorials in Math, Verbal, IR, and AWA.

GMAT test takers: Watch now the GMAC interview with the people who write the GMAT test!
We discussed the chances of improving a GMAT score; how important the first questions on the test are; what to do if you don’t have enough time to complete a whole section; and more.

You can watch all the action from the interview here.

Manager
Joined: 02 Jan 2016
Posts: 102
Re: If x and y are different prime numbers, is (50-x)/y an integer?  [#permalink]

Show Tags

14 Feb 2018, 07:40
chetan2u wrote:
If x and y are different prime numbers, is $$\frac{(50-x)}{y}$$ an integer?

(1) $$y=x+1$$.
(2) When y is divided by x, remainder is 1.

New question
source-self

chetan2u you are Christopher Nolan of questions, always a twist at the end.
Re: If x and y are different prime numbers, is (50-x)/y an integer? &nbs [#permalink] 14 Feb 2018, 07:40
Display posts from previous: Sort by

If x and y are different prime numbers, is (50-x)/y an integer?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.