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18 Sep 2007, 22:23
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Can someone explain the logic in this question? How do you approach this divisibility question and all other for that matter?
thanks
thanks
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18 Sep 2007, 23:56
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This one took me quite a bit of time =( bout 3 1/2 min. thats no good.
Owell.
rewrite the statment like this n^2-1/24.
Then _____
24|n^2-1 (if this doesn't show the way I want it to, essentially, use the long division box)
S1: since n cant be divisible by 2 try values for n that arent divisible by 2.
5^2 =25. ---> 25-1/24 R here will be 0
Try now finding a value you know won't be divisible by 24.
9^2 81-1/24 this is def. not going to have a R of 0. So insuff.
S2:
cannot be divisible by 3. So again try 5^2-1/24 R=0.
Try finding a value that u know won't leave a R of 0.
10^2-1/24 99/24 Def R does not equal 0.
S1&S2:
Realize here that the following values for n are not possible: 2,3,4,6,8,9,10 and anything divisible by 2 or 3! So this essentially leaves primes of 5,7,11,13 etc...
Try a couple and determine ans from here as I was already at 3min!
Try a few values to see if this works again 5^2-1/24 24/24 R=0
7^2-1/24 R=0.
11^2-1/24 R=0.
Ans C.
Owell.
rewrite the statment like this n^2-1/24.
Then _____
24|n^2-1 (if this doesn't show the way I want it to, essentially, use the long division box)
S1: since n cant be divisible by 2 try values for n that arent divisible by 2.
5^2 =25. ---> 25-1/24 R here will be 0
Try now finding a value you know won't be divisible by 24.
9^2 81-1/24 this is def. not going to have a R of 0. So insuff.
S2:
cannot be divisible by 3. So again try 5^2-1/24 R=0.
Try finding a value that u know won't leave a R of 0.
10^2-1/24 99/24 Def R does not equal 0.
S1&S2:
Realize here that the following values for n are not possible: 2,3,4,6,8,9,10 and anything divisible by 2 or 3! So this essentially leaves primes of 5,7,11,13 etc...
Try a couple and determine ans from here as I was already at 3min!
Try a few values to see if this works again 5^2-1/24 24/24 R=0
7^2-1/24 R=0.
11^2-1/24 R=0.
Ans C.
18 Sep 2007, 23:56
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ericuva
I plugged in numbers to solve this one.
Stat 1: if n=3 remainder = 0, if n=9 remainder=1, Insuff.
Stat 2: if n=5, remainder=0, if n=10, remainder=3, Insuff.
Stat 1 & 2: n=5, 7, 11, 13, remainder = 0.
Answer C.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
