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Re: When positive integer N is divided by 1463, the remainder is 41. What [#permalink]
Asked: When positive integer N is divided by 1463, the remainder is 41. What is the remainder when N is divided by 11?
1463 = 11*133
Nmod1463 = 41
Nmod11 = 41mod11 = 8

IMO E
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Re: When positive integer N is divided by 1463, the remainder is 41. What [#permalink]
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BrentGMATPrepNow wrote:
When positive integer N is divided by 1463, the remainder is 41. What is the remainder when N is divided by 11?

A) 4
B) 5
C) 6
D) 7
E) 8

Solution:

Since 11 divides 1463 (notice that 1463/11 = 133), the remainder when N is divided by 11 is the same as when 41 is divided by 11. Since 41/11 = 3 R 8, the remainder is 8.

Alternate Solution:

One possible value for N is 1463 + 41 = 1504. (We know this is true because, when 1504 is divided by 1463, the quotient is 1 and the remainder is 41.)

Therefore, if we divide 1504 by 11, we get a quotient of 136 and a remainder of 8.

Answer: E
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Re: When positive integer N is divided by 1463, the remainder is 41. What [#permalink]
From the question, we see that 1463 is divisible by 11. So considering 41 as the remainder, when we multiply it by 11, we get 8 as a remainder. So answer - Option E­
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Re: When positive integer N is divided by 1463, the remainder is 41. What [#permalink]
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