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Which of the following are divisible by 2, 3, and 8? [#permalink]
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14 Apr 2016, 01:36
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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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14 Apr 2016, 03:28
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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 II2. A number is divisible by 2 when the units digit is even Using the said property we negate option II3. 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 3So option I is only possible number which is divisible by 2,3 & 8
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Re: Which of the following are divisible by 2, 3, and 8? [#permalink]
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14 Apr 2016, 03:33
2If the last digit is even, the number is divisible by 2 3If 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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14 Apr 2016, 03:58
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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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18 Feb 2017, 02:55
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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20 Apr 2017, 23:39
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?
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20 Apr 2017, 23:39






