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

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 !!!

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 Please go through this for more on this type of questions https://gmatclub.com/forum/symbols-repr ... 75009.html

workout thank you very 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?

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



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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