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26 Oct 2010, 02:45
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Difficulty:
5%
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Question Stats:
93% (00:38) correct
7%
(00:39)
wrong
based on 220
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The remainder obtained when a prime number greater than 6 is divided by 6 is
a) 1 or 3
b) 1 or 5
c) 3 or 5
d) 4 or 5
e) 5
a) 1 or 3
b) 1 or 5
c) 3 or 5
d) 4 or 5
e) 5
26 Oct 2010, 03:30
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The easiest way to answer this question is probably to pick numbers. Use the next two prime numbers greater than 6, i.e. 7 and 11:
7/6 = 1 + remainder of 1
11 / 6 = 1 + remainder of 5
This is already sufficient to see that answer choice b) is correct.
For these types of questions it also helps to know that all prime numbers larger than 3 are in the form 6n - 1 and 6n + 1 (where n is an integer) since all other numbers are divisible by either 2 or 3. If you're interested you can search this forum. I think someone made a post explaining this property in detail.
7/6 = 1 + remainder of 1
11 / 6 = 1 + remainder of 5
This is already sufficient to see that answer choice b) is correct.
For these types of questions it also helps to know that all prime numbers larger than 3 are in the form 6n - 1 and 6n + 1 (where n is an integer) since all other numbers are divisible by either 2 or 3. If you're interested you can search this forum. I think someone made a post explaining this property in detail.
