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mrinal2100
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.

Okay . This is how I solved it.

The series Mk=10^k=4 is always divisible by 2 and 3 .

(1) Both 2 and 3 are less than 45 - Insufficient
(2) More than 2 terms are divisible by 2 as well as by 3 - Insufficient

(1) +(2) => Again we get 2 and 3 - Hence, insufficient
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mrinal2100
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.

Okay . This is how I solved it.

The series Mk=10^k=4 is always divisible by 2 and 3 .

(1) Both 2 and 3 are less than 45 - Insufficient
(2) More than 2 terms are divisible by 2 as well as by 3 - Insufficient

(1) +(2) => Again we get 2 and 3 - Hence, insufficient

I know this is 6 years after the post, but just wanted to comment on this in case anyone else like myself is going through problems and comments.

Testing 3 is dangerous because the prompt says q is an even number. 2 and 4 would be better.
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