What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Suggest Corrections

0

The SSC MTS Tier II Admit Card has been released. The paper II will be held on 6th November 2022. Earlier, the result for the Tier I was released. The candidates who are qualified in the SSC MTS Paper I are eligible for the Paper II. A total of 7709 vacancies are released, out of which 3854 vacancies are for MTS Group age 18-25 years, 252 vacancies are for MTS Group age 18-27 years and 3603 vacancies are for Havaldar in CBIC. 

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Manager

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Joined: 08 Oct 2010

Posts: 171

Location: Uzbekistan

Schools:Johnson, Fuqua, Simon, Mendoza

WE 3: 10

What is the smallest number which when increased by 5 is com [#permalink]

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
  23 Oct 2010, 03:19

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

00:00

Difficulty:

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
15% (low)

Question Stats:

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
81% (01:19) correct
What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
19% (01:25) wrong
What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
based on 344 sessions

Hide Show timer Statistics

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?A. 264B. 259C. 269D. 270

E. 282

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Retired Moderator

Joined: 02 Sep 2010

Posts: 647

Location: London

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Re: number properties puzzle 3 [#permalink]

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
  23 Oct 2010, 03:37

LCM(8,11,24)=24x11=264So the least divisible number is 264, and the number we are looking for is 259.Answer is (b) _________________

Re: number properties puzzle 3 [#permalink]

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
  12 Nov 2013, 13:06

feruz77 wrote:

What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?a) 264b) 259c) 269d) 270

e) 282

Actually let's start with the smallest cause that's what the question is askingSo let's begin with B259+5 = 264.Now divisible by 3? Digits add to multiple of 3 so yesDivisible by 8? Last two are divisible by 4 and result is divisible by 2 so yesDivisible by 11? 2+4-6=0 is a multiple of 11 so yes againOur best friend today is BHope it helpsCheers!

J

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

EMPOWERgmat Instructor

Joined: 19 Dec 2014

Status:GMAT Assassin/Co-Founder

Affiliations: EMPOWERgmat

Posts: 21152

Location: United States (CA)

Re: What is the smallest number which when increased by 5 is com [#permalink]

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
  21 May 2015, 19:23

Hi All,This question includes a number of great Number Property shortcuts that you can take advantage of:1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.

Final Answer:

GMAT assassins aren't born, they're made,Rich _________________

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Non-Human User

Joined: 09 Sep 2013

Posts: 25721

Re: What is the smallest number which when increased by 5 is com [#permalink]

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?
  23 Apr 2022, 01:37

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. _________________

What is the smallest number which when increased by 5 is completely divisible by 8 11 and 24 A 269 B 264 C 259 D none of these?

Re: What is the smallest number which when increased by 5 is com [#permalink]