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If m is a positive integer with k nonzero digits and no other digits.

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Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
If m is a positive integer with k nonzero digits and no other digits.  [#permalink]

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23 Aug 2016, 16:35
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Difficulty:

55% (hard)

Question Stats:

53% (01:37) correct 48% (01:35) wrong based on 50 sessions

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If m is a positive integer with k nonzero digits and no other digits. Which digits appear in the number m?

(1) The sum of the digits is k
(2) k = 3

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Senior Manager
Joined: 23 Apr 2015
Posts: 303
Location: United States
WE: Engineering (Consulting)
Re: If m is a positive integer with k nonzero digits and no other digits.  [#permalink]

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23 Aug 2016, 19:08
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duahsolo wrote:
If m is a positive integer with k nonzero digits and no other digits. Which digits appear in the number m?

(1) The sum of the digits is k
(2) k = 3

Given m is a positive number composed of k digits.
consider 1) sum of digits is k.
if m is just one digit then m has to be 1, so that k is 1 and sum of digits is k = 1,
similarly if m is 2 digit, then m has to be 11, so that k is 2 and sum is 1+1 = 2
so "which digits appear in the number m" is always 1, Hence select A and D

consider 2) k =3 , which can be from 111 to 999, except for ones with zeros in it. So not sufficient. Eliminate D.

Manager
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Posts: 191
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Re: If m is a positive integer with k nonzero digits and no other digits.  [#permalink]

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24 Aug 2016, 02:10
Senthil1981 wrote:
duahsolo wrote:
If m is a positive integer with k nonzero digits and no other digits. Which digits appear in the number m?

(1) The sum of the digits is k
(2) k = 3

Given m is a positive number composed of k digits.
consider 1) sum of digits is k.
if m is just one digit then m has to be 1, so that k is 1 and sum of digits is k = 1,
similarly if m is 2 digit, then m has to be 11, so that k is 2 and sum is 1+1 = 2
so "which digits appear in the number m" is always 1, Hence select A and D

consider 2) k =3 , which can be from 111 to 999, except for ones with zeros in it. So not sufficient. Eliminate D.

Hi Senthil1981,

Please, "coping" solutions from the source of questions and posting them the way you're doing will not help maximise learning experience of others and myself. Having seen the question before, it helps if you can explain your solution to the question the way you have understood it or will help others to understand. I could have posted the official solution, if the intention was just to post questions and their official solutions.

Sometimes, we post questions to help us better understand how the questions are approached differently or how solutions to the questions are better explained, and to help others become exposed to questions of this nature.

Cheers!!!
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Re: If m is a positive integer with k nonzero digits and no other digits.  [#permalink]

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04 Aug 2018, 19:53
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Re: If m is a positive integer with k nonzero digits and no other digits. &nbs [#permalink] 04 Aug 2018, 19:53
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