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

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Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 14 Apr 2016, 02:36
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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

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Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 14 Apr 2016, 04:28
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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 :-D :lol:
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Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 14 Apr 2016, 04:33
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

Answer A
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Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 14 Apr 2016, 04:58
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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.
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Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 18 Feb 2017, 03:55
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
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Re: Which of the following are divisible by 2, 3, and 8?  [#permalink]

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New post 21 Apr 2017, 00:39
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
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Re: Which of the following are divisible by 2, 3, and 8? &nbs [#permalink] 21 Apr 2017, 00:39
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