Data Sufficiency

OA is D

Both stmt 1 & stmt 2 are sufficient independently.

Stmt 1: n>2 ; n=3,4,5,......

Lets just take n=3 to start with,
==> (0.1)^3 < (0.01)
==> 0.001 < 0.01 TRUE
The same will be the case for all higher values of n. So, this statement is sufficient to answer the question.

Stmt 2: (0.1)^n-1 < (0.1)^1 we have to use the exponential rule here

Rule: If the bases are the same, we can equate the exponents
==> n-1<1
==> n<2 ; n = 1,0 (since n is positive)
When you use the above values of n, you will see that number on the left side of the inequality keeps on increasing answering the question with a definite NO. So, this statement is sufficient to answer the question.

So, the answer is D. Hope this helps

This fact applies for both the statements

The answer cannot be D since N is positive. N can only be 0 or 1 as a result statement 2 is insuff

I ll go for A

The OG seems to contradict with regard to statement 2 of this question. It says that if n=1, the inequality is untrue but only when n>= 3 relationship true so that is why statement is 2, per the book.

KICKGMATASS123 wrote:This fact applies for both the statements

The answer cannot be D since N is positive. N can only be 0 or 1 as a result statement 2 is insuff

I ll go for A

You are right. n is a positive number. I had a typo in my earlier message, which I will correct. Thanks for pointing it out. But, that does not change my answer. If you apply n=1, the inequality will be 1 < 0.1 --> which is NO (a definite answer). When n=0, the inequality will be 10 < 0.1 --> which is NO (again a definite answer).

Hence 2nd Stmt is also sufficient to answer the question.

KICKGMATASS123 wrote:This fact applies for both the statements

The answer cannot be D since N is positive. N can only be 0 or 1 as a result statement 2 is insuff

I ll go for A

If N=0 then it is not a positive integer. If N = 1 then N doesn't satisfy the 2nd equation as (1/10)^0 = 1 which is not less than 0.1

For the 2nd equation to work N must always be >=3

D. is the answer.

agreed! Thanks for the correction

I'll go for D as well