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What is the remainder when the positive integer n is divided [#permalink]

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18 Jan 2006, 19:58

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

100% (01:27) correct
0% (00:00) wrong based on 11 sessions

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What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

B is enough. no matter what is the value of the odd interger, the reminder is 1 when this odd integer is divided by 2.

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

Question is n even!

n/5 remainder is odd => n = a*5 + b for a=odd n is even for a=even n is odd or in other ex...for 8 and 13 both remainder is odd
so insuff
n/10 remainder is odd => n = a*10 + b, b is odd, a*10 is even so a*10+b is odd so n is not even! Suff.

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

Why isn't the answer D? Either choice gives you a remainder of 1 when you divide the remainders in (1) and (2) by 2.

Re: What is the remainder when the positive integer n is divided [#permalink]

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20 Apr 2015, 12:07

sperumba wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

1) n= 13, and n=8 the remainder if divided by 5 is 3, but if divided by 2 the 1 and 0 respectively. insufficient.

2) n= 13, n=25 if the both numbers divided by 10 then the remainder is 5, which is odd and if divided by 2 then for the both cases remainder is 1. sufficient.

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