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If <<n>> denotes the least positive integer multiple of 4 that is grea

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If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post Updated on: 20 Jul 2018, 23:19
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If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

(1) <<n>> = 12
(2) n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!

Originally posted by franteraoka on 20 Jul 2018, 21:17.
Last edited by Bunuel on 20 Jul 2018, 23:19, edited 1 time in total.
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 21 Jul 2018, 19:33
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If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

this means either
A) <<n>>=n, if n is multiple of 4 that is form of 4k, where k is an integer
B) <<n>>=n+1 to n+3......
So range is n to n+3


(1) <<n>> = 12
So n can be 9 to 12
Insufficient

(2) n is equal to the sum of two consecutive prime numbers.
n can be
a) 2+3=5
b) 3+5=8......and so on
Insufficient

Combined..
Only way when n is odd is when one is 2, so 2+3=5
Otherwise even..
Therefore it can be 10 or 12
10=5+5=3+7, so not possible to show it as sum of two consecutive prime numbers.
12=5+7....our answer
Sufficient
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 20 Jul 2018, 21:28
franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

1. <<n>> = 12
2. n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


Hi franteraoka

Just a suggestion. Please don't post the answer in plain text. I see you are already using the spoiler tag which is enough if somone wants to know the answer before trying the problem. I just feel seeing the answer before trying out the problem kills the eagerness to solve the problem, atleast in my case.
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 20 Jul 2018, 21:35
workout sorry about that! New to this, I will make sure to not spoil it on future posts, thanks!
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 20 Jul 2018, 22:01
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franteraoka wrote:
workout sorry about that! New to this, I will make sure to not spoil it on future posts, thanks!


Totally understood and thanks for your contributions !!!
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 20 Jul 2018, 22:09
1
To find the value of n

Statement 1

<<n>> = 12

=> the least positive integer multiple of 4 that is greater than or equal to integer n is 12

=> n can have the values 9, 10, 11, 12

We can't figure out a unique value for n

Statement 1 is insufficient

Statement 2

n is equal to the sum of two consecutive prime numbers.

n can be 3 = 5 = 8 or 5 + 7 = 12 and so on

We have infinitely many possible value for n

Statement 2 is not sufficient

Combining statements 1 and 2

Among 9, 10, 11, 12 only 12 is the sum of two consecutive prime numbers 5 and 7

n = 12

Statements 1 and 2 together are sufficient

Hence option C
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 20 Jul 2018, 22:13
1
franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


franteraoka Please go through this for more on this type of questions https://gmatclub.com/forum/symbols-repr ... 75009.html
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 21 Jul 2018, 15:12
workout thank you very much!
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Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 22 Jul 2018, 02:22
workout wrote:
To find the value of n

Statement 1

<<n>> = 12

=> the least positive integer multiple of 4 that is greater than or equal to integer n is 12

=> n can have the values 9, 10, 11, 12

We can't figure out a unique value for n

Statement 1 is insufficient

Statement 2

n is equal to the sum of two consecutive prime numbers.

n can be 3 = 5 = 8 or 5 + 7 = 12 and so on

We have infinitely many possible value for n

Statement 2 is not sufficient

Combining statements 1 and 2

Among 9, 10, 11, 12 only 12 is the sum of two consecutive prime numbers 5 and 7

n = 12

Statements 1 and 2 together are sufficient

Hence option C



franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

(1) <<n>> = 12
(2) n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


I don't quite understand this problem.
1. "Least positive integer multiple of 4 that is greater than or equal to integer n" ---> 12. So, the least positive integer which is greater than or equal to n is 12 means, isn't n=12?
2. n is equal to sum of two consecutive prime numbers. The only set of consecutive prime numbers is 2,3. If you consider 3 and 5 are consecutive prime numbers or 5 and 7, then all prime numbers are consecutive as well. Even 19 and 21 are consecutive.

What I actually got is, D.
Am I missing something?
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If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

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New post 22 Jul 2018, 04:47
elavendan1 wrote:

I don't quite understand this problem.
1. "Least positive integer multiple of 4 that is greater than or equal to integer n" ---> 12. So, the least positive integer which is greater than or equal to n is 12 means, isn't n=12?


elavendan1

Lets say n = 8. The least positive integer multiple of 4 that is greater than or equal to integer 8 ? = 8
Lets say n = 9. The least positive integer multiple of 4 that is greater than or equal to integer 9 ? = 12
Lets say n = 10. The least positive integer multiple of 4 that is greater than or equal to integer 10 ? = 12
Lets say n = 11. The least positive integer multiple of 4 that is greater than or equal to integer 11 ? = 12
Lets say n = 12. The least positive integer multiple of 4 that is greater than or equal to integer 12 ? = 12
Lets say n = 13. The least positive integer multiple of 4 that is greater than or equal to integer 13 ? = 16

So as we can see above only values 9, 10, 11, 12 satisfy statement 1

elavendan1 wrote:
2. n is equal to sum of two consecutive prime numbers. The only set of consecutive prime numbers is 2,3. If you consider 3 and 5 are consecutive prime numbers or 5 and 7, then all prime numbers are consecutive as well. Even 19 and 21 are consecutive.

What I actually got is, D.
Am I missing something?


Yes, all adjacent prime numbers are consecutive. That is why the statement2 itself is insufficient to find the value of n

Now, if we combine statements 1 and 2

=> only 12 is the sum of two consecutive prime numbers and hence n = 12
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If <<n>> denotes the least positive integer multiple of 4 that is grea &nbs [#permalink] 22 Jul 2018, 04:47
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