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does anybody know any shortcut to this

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Senior Manager
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does anybody know any shortcut to this [#permalink] New post 20 Apr 2005, 13:49
does anybody know any shortcut to this?
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Manager
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 [#permalink] New post 20 Apr 2005, 14:10
well...i think the answer is E (correct me if i am wrong)

and i don't know what approach you followed to arrive at the answer and hence can't say if my approach is shorter than yours. anyways...

Remainder of 10^m + n = 1 + remainder of n/3 (as the remainder of 10^m will always be 1)

Remainder of 10^n + m = 1 + remainder of m/3 (as the remainder of 10^n will always be 1)

so the question is "Is r(n/3) > r(m/3)?"

1) m > n => doesn't say anything much

2) r(n/3) = 2, doesn't talk about m so of no use

1) + 2) also don't help us much..if n = 2, then m can be 3, 4 or 5 with remainder 0, 1 and 2 respectively...so we can't say

Hence the answer is E.

Please note: If the question would have been

Is Is r(n/3) < r(m/3)?

then the answer would be B as r(m/3) can never be greater than 2

HTH

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Re: any shortcut? [#permalink] New post 20 Apr 2005, 17:51
mirhaque wrote:
does anybody know any shortcut to this?


if m is not equal to n and m>n, it would be C.

GO with E.
Re: any shortcut?   [#permalink] 20 Apr 2005, 17:51
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