Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47037

If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
06 Jan 2015, 08:04
Question Stats:
85% (00:30) correct 15% (00:39) wrong based on 282 sessions
HideShow timer Statistics



Manager
Joined: 21 Aug 2010
Posts: 180
Location: United States

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
06 Jan 2015, 09:27
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.Assume the answer choices as the value of z A) 2; (2+3)/5 = 1 satisfies the equation B) 3; (3+3)/5 = 1.2 Not an integer C) 4; (4+3)/5 = 1.4 Not an integer D) 5; (5+3)/5 = 1.6 Not an integer E) 6; (6+3)/5 = 1.8 Not an integer Ans A
_________________




SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
06 Jan 2015, 22:57
Answer = A. 2 Let z = 2, gives \(\frac{2+3}{5} =\)integer For \(\frac{2}{5}\), remainder = 2
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 05 Jun 2014
Posts: 63

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
07 Jan 2015, 05:45
(z+3)/5 is an integer, which means that remainder must be a multiple of 5. Eq can be written as z/5 + 3/5, 3/5 gives a remainder of 3, which means that z must be 5n+2, where n is an integer. Answer is A.



Senior Manager
Joined: 02 Dec 2014
Posts: 351
Location: Russian Federation
Concentration: General Management, Economics
WE: Sales (Telecommunications)

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
08 Jan 2015, 08:31
From the question we can see that if (z+3)/5 is an integer it means that z+3 should be a multiple of 5. Hence z=2 or z=7 or z=12 and so on. Hence if,for example, z=7 then (7/5) leaves a remainder of 2. If z=12 then (12/5) leaves a remainder of 2 again. Hence answer A.
_________________
"Are you gangsters?"  "No we are Russians!"



Senior Manager
Joined: 13 Jun 2013
Posts: 277

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
08 Jan 2015, 08:38
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z+3)/5 = I z+3=5I adding two on both sides we have z+3+2 = 5I+2 z+5=5I+2 z=5I5+2 =5(I1)+2 thus z when divided by 5 will always gives a remainder of 2.



Current Student
Joined: 14 Jun 2015
Posts: 90
Location: India
GMAT 1: 680 Q46 V37 GMAT 2: 750 Q50 V40
GPA: 3.5
WE: Information Technology (Telecommunications)

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
24 Oct 2015, 07:32
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z + 3)/5 is an Integer. Lets say K+1 (z + 3)/5 = k+1 z+3 = 5k+5 z=5k+53 z=5k+2 So when z is divided by 5 reminder is 2.



Board of Directors
Joined: 17 Jul 2014
Posts: 2726
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
13 Nov 2015, 06:51
Z is an integer that needs 3 to be divisible by 5 in that case, whatever number Z is, the remainder will always be 2.



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3632
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
13 Nov 2015, 11:14
Bunuel wrote: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? Since (z + 3)/5 is an integer , \(\frac{(z + 3)}{5}\) is an integer must be divisible by 5 The least possible value of z must be 2 \(\frac{2}{5}\)  reminder is 2 ( Answer choice A) Hence the correct answer is A
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



Intern
Joined: 13 Sep 2015
Posts: 10

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
14 Nov 2015, 01:20
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.Solution: The question states that z+3/5 is an integer, therefore we know that z+3 is a multiple of 5. Now to solve this question we can plug in a value for z+3 to arrive at the solution. Lets assume z+3 to be any multiple of 5. Let say z+3 = 15, then z = 12. The question asks what is the remainder when z is divided by 5. When 12/5 we know the remainder is 2. If we plug in any other multiples of 5 for z+3, then too we will get a remainder of 2 when z is divided by 5. Therefore our answer is A. 



SVP
Joined: 26 Mar 2013
Posts: 1719

Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
Show Tags
20 Mar 2018, 15:59
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z + 3)/5 = Integer......Then z could be 2,7,12,17...etc In the above.........z /5 .......reminder is 2 Answer: A




Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5?
[#permalink]
20 Mar 2018, 15:59






