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

 It is currently 24 Jun 2019, 08:53 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Which of the following are divisible by 2, 3, and 8?

Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 55757
Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 65% (01:06) correct 35% (01:06) wrong based on 130 sessions

HideShow timer Statistics

Which of the following are divisible by 2, 3, and 8?

I. 33,333,333,000
II. 2,334,455,921
III. 444,444,400

A. I​ only
B. I and II​ only
C. II only
D. I​ and III only
E. none of these

_________________
Board of Directors P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4502
Location: India
GPA: 3.5
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

1
Bunuel wrote:
Which of the following are divisible by 2, 3, and 8?

I. 33,333,333,000
II. 2,334,455,921
III. 444,444,400

A. I​ only
B. I and II​ only
C. II only
D. I​ and III only
E. none of these

1. A number is divisible by 8 when the last 3 digits are divisible by 8

Using the said property we negate option II

2. A number is divisible by 2 when the units digit is even

Using the said property we negate option II

3. A number is divisible by 3 when the sum of the digits is divisible by 3

I. 33,333,333,000 = sum of the digits is 8*3 = 24 divisible by 3
II. We will not waste our time checking this option sicne it has already been eliminated
III. 444,444,400 = sum of the digits is 7*4 = 28 not divisible by 3

So option I is only possible number which is divisible by 2,3 & 8  _________________
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 )
Verbal Forum Moderator V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2300
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

2-If the last digit is even, the number is divisible by 2
3-If the sum of the digits is divisible by 3, the number is also divisible .
8- If the last three digits of a number are divisible by 8, then so is the whole number.

I. 33,333,333,000
Divisible by 2,3 and 8

II. 2,334,455,921
Odd number - not divisible by 2
No need to check further

III. 444,444,400
Sum of digits = 4*7= 28
Not divisible by 3

_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful
Manager  B
Status: single
Joined: 19 Jan 2015
Posts: 84
Location: India
GPA: 3.2
WE: Sales (Pharmaceuticals and Biotech)
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

1
a number is divisible by 2 if it is an even integer.

sum of number is divisbile by 3, then it is divisible.

last three digits of a number is divisbile by 8 then number is divisible by 8.

1, 33,333,333,000.
it is a even integer

sum is divisible by 3.

last 3 digits is divsible by 8. so option 1 is divisble by 2,3, and 8.

2 2,334,455,921

it is an odd integer not divisibly by2 and 8 also.

sum of the numbers is 38. it is also not divisible by 3.

3 444,444,400.

even integer, last 3 digits 400 is divisibly by8. sum of digits is 28 not divisible by3

so option A is correct.
Intern  B
Joined: 30 May 2016
Posts: 15
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

Psiva00734 wrote:
a number is divisible by 2 if it is an even integer.

sum of number is divisbile by 3, then it is divisible.

last three digits of a number is divisbile by 8 then number is divisible by 8.

1, 33,333,333,000.
it is a even integer

sum is divisible by 3.

last 3 digits is divsible by 8. so option 1 is divisble by 2,3, and 8.

2 2,334,455,921

it is an odd integer not divisibly by2 and 8 also.

sum of the numbers is 38. it is also not divisible by 3.

3 444,444,400.

even integer, last 3 digits 400 is divisibly by8. sum of digits is 28 not divisible by3

so option A is correct.

This explanation is very clear thanks
Manager  S
Joined: 08 Oct 2016
Posts: 201
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

Bunuel wrote:
Which of the following are divisible by 2, 3, and 8?

I. 33,333,333,000
II. 2,334,455,921
III. 444,444,400

A. I​ only
B. I and II​ only
C. II only
D. I​ and III only
E. none of these

Even number cannot divide odd so option B and C ruled out straight away
Left with 3 options now
start from A
A number can be divided by 3 if their sum of digit can be divided as well 33,333,333,000=24 so 3 qualify since number is even so 2 qualify as well for case of 8 last 3 digit should be divisible 000 can be divided check last option now 444,444,400 sum=28/3 cannot be divided evenly ruled out without further checking
So A is the correct choice
_________________
Got Q42,V17
Target#01 Q45,V20--April End
ISB School Moderator G
Joined: 08 Dec 2013
Posts: 452
Location: India
Concentration: Nonprofit, Sustainability
GMAT 1: 630 Q47 V30 WE: Operations (Non-Profit and Government)
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

Bunuel wrote:
Which of the following are divisible by 2, 3, and 8?

I. 33,333,333,000
II. 2,334,455,921
III. 444,444,400

A. I​ only
B. I and II​ only
C. II only
D. I​ and III only
E. none of these

II is not divisible by 2
III is not divisible by 3, sum of the digits is 28.

Let's see I.
Div. by 2,
Div. by 8, as last three digits are divisible by 8
Div. by 3 as sum of digits is 8*3

OA A, I only.
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.

GMAT Math Book

-I never wanted what I gave up
I never gave up what I wanted-
Manager  G
Joined: 10 Jan 2013
Posts: 230
Location: India
Concentration: General Management, Strategy
GPA: 3.95
Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

Show Tags

Bunuel wrote:
Which of the following are divisible by 2, 3, and 8?

I. 33,333,333,000
II. 2,334,455,921
III. 444,444,400

A. I​ only
B. I and II​ only
C. II only
D. I​ and III only
E. none of these

I. Div by 2,3,8
2- because it is an even number
3- sum is divisible by 3
8 - last 3 digits are divisible by 8

II and III do not fit. Re: Which of the following are divisible by 2, 3, and 8?   [#permalink] 23 May 2019, 20:00
Display posts from previous: Sort by

Which of the following are divisible by 2, 3, and 8?  