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Dare these number properties DS

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by Night reader » Tue Nov 30, 2010 10:23 pm
When the positive integer n is divided by 15, the remainder is 4. What is the value of n?

(1) When n is divided by 10, the remainder is 9
(2) n < 50
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by beat_gmat_09 » Tue Nov 30, 2010 10:32 pm
pick 4, 19,34,49
as these satisfy 15x+4
1) n divided by 10, remainder 9, n can be 19,49, ......
2) n<50 alone gives 4,19,34,49. Not sufficient.
Both - eliminates 4,34. Remains 19,49. Both not sufficient.
E.
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by shovan85 » Tue Nov 30, 2010 10:49 pm
n = 15k + 4 (4,19,34,....)

(1) n = 10k' + 9 (9,19,29,39,49,....)
n can be 19, 49,....
Not Sufficient.

(2) n< 50
n can be 4,19,34,49,..
Not sufficient.

Combine both n can be 19,49
Not sufficient.

IMO E
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by Night reader » Tue Nov 30, 2010 10:57 pm
wonderful, both of you nailed it; i did so in my notepad :wink:
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
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