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by GMAT Kolaveri » Sat Apr 21, 2012 4:01 am
If the infinite sequence, M, is defined as M1 = 6, M2 = 96, M3 = 996, ... , Mk = 10k - 4, is every term in this sequence divisible by q, if q is an even number?

(1) q is less than 45.

(2) At least 2 terms in the sequence are divisible by q.
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Source: — Data Sufficiency |
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by sanju09 » Sat Apr 21, 2012 4:47 am
GMAT Kolaveri wrote:If the infinite sequence, M, is defined as M1 = 6, M2 = 96, M3 = 996, ... , Mk = 10k - 4, is every term in this sequence divisible by q, if q is an even number?

(1) q is less than 45.

(2) At least 2 terms in the sequence are divisible by q.

Since, 6 is also there in the sequence, hence if q is 2 or 6, only then every term in the sequence will be divisible by q, otherwise not.

(1) If q < 45, it may or may not be 2 or 6. Answer is YES or NO, hence insufficient.

(2) If least 2 terms in the sequence are divisible by q, then at most all the terms in the sequence could be divisible by q or only two terms in the sequence could be divisible by q. Insufficient

Info in (2) doesn't complement the info missing in (1), hence taken together is [spoiler]too not sufficient.

Take E[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



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