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28 Oct 2020, 10:12
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:05) correct
27%
(01:06)
wrong
based on 78
sessions
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Not Attempted Yet
What is the remainder when positive integer \(n\) is divided by 12?
1) When \(n\) is divided by 6 then remainder is zero
2) \(n\) is not a multiple of 12
1) When \(n\) is divided by 6 then remainder is zero
2) \(n\) is not a multiple of 12
28 Oct 2020, 18:24
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Giving it a shot.
What is the remainder when positive integer n is divided by 12?
I can set up an equation to look for what I am solving for (r):
\(\frac{n}{12} = Q1 + \frac{r}{12}\)
1) When n is divided by 6 then remainder is zero
\(\frac{n}{6} = Q2 + \frac{0}{6}\)
This tells us that n is a multiple of 6, so can be [6, 12, 18, 24, 30, ...]
This will yield various values for r when divided by 12. insufficient
2) n is not a multiple of 12
This tells us that r cannot equal 0, but may be any integer from 1 to 11.
There are still many values for n. insufficient
(1) & (2)
We know that n is divisible by 6, and can have a remainder from 1 to 11.
6, 18, 30, ... all qualify for n, but will always have a remainder of 6. sufficient
What is the remainder when positive integer n is divided by 12?
I can set up an equation to look for what I am solving for (r):
\(\frac{n}{12} = Q1 + \frac{r}{12}\)
1) When n is divided by 6 then remainder is zero
\(\frac{n}{6} = Q2 + \frac{0}{6}\)
This tells us that n is a multiple of 6, so can be [6, 12, 18, 24, 30, ...]
This will yield various values for r when divided by 12. insufficient
2) n is not a multiple of 12
This tells us that r cannot equal 0, but may be any integer from 1 to 11.
There are still many values for n. insufficient
(1) & (2)
We know that n is divisible by 6, and can have a remainder from 1 to 11.
6, 18, 30, ... all qualify for n, but will always have a remainder of 6. sufficient
31 Oct 2020, 01:08
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St1) n is divisible by 6.
hence n can be 6, 12, 18...
the remainder when n is divide by 12 = 6 or 0.
NOT SUFFICIENT.
St 2 )
n is not a multiple of 12.
n can be 1, 2, 13, 17, etc.
we can have different remainders.
NOT SUFFICIENT.
Combine St1 & 2,
the n is odd multiple of 6. n = 6,18,30 etc
the remainder = 6.
Sufficient,
Answer C
hence n can be 6, 12, 18...
the remainder when n is divide by 12 = 6 or 0.
NOT SUFFICIENT.
St 2 )
n is not a multiple of 12.
n can be 1, 2, 13, 17, etc.
we can have different remainders.
NOT SUFFICIENT.
Combine St1 & 2,
the n is odd multiple of 6. n = 6,18,30 etc
the remainder = 6.
Sufficient,
Answer C
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