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If n is an integer, is 10^n ≤ 0.001 ?
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Updated on: 22 Jan 2012, 07:17
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64% (00:58) correct 36% (01:17) wrong based on 140 sessions
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If n is an integer, is 10^n ≤ 0.001 (1) n <= 2 (2) n > 5 I answered A. Did not understand the OA. 1) 10^3 = 1/1000 = 0.001 if n ≥3 then the value will ≤ 0.001. Thus sufficient.
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Originally posted by Baten80 on 20 Jan 2012, 11:35.
Last edited by Baten80 on 22 Jan 2012, 07:17, edited 1 time in total.



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Re: If n is an integer, is 10^n ≤ 0.001 ?
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20 Jan 2012, 11:57
Baten80 wrote: If n is an integer, is 10^n≤0.001 1) n<2 2) n< 5
I answered A. Did not understand the OA. 1) 10^3 = 1/1000 = 0.001 if n ≥3 then the value will ≤ 0.001. Thus sufficient. Original question is as follows: If n is an integer, is 10^n≤0.001?Is \(10^n\leq{0.001}\)? > is \(10^n\leq{\frac{1}{10^3}}\)? > is \(10^n\leq{10^{3}}\)? > is \(n\leq{3}\)? So basically the question asks whether \(n\) is one of the following integers: 3, 4, 5, ... (1) \(n\leq{2}\) > \(n\) could be 2, 3, 4, ... Not sufficient. (2) \(n>5\) > \(n\) could be 4, 3, 2, 1, ... Not sufficient. (1)+(2) \(5<n\leq{2}\) > \(n\) could be: 4, 3, and 2 > if \(n\) is either 4 or 3 then the answer is YES but if \(n=2\) then the answer is NO. Not sufficient. Answer: E. P.S. In it's current form the answer is D. If we change (2) n>5, then the answer is A, as you stated.
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Re: If n is an integer, is 10^n ≤ 0.001 ?
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20 Jan 2012, 12:06
Bunuel wrote: Baten80 wrote: If n is an integer, is 10^n≤0.001 1) n<2 2) n< 5
I answered A. Did not understand the OA. 1) 10^3 = 1/1000 = 0.001 if n ≥3 then the value will ≤ 0.001. Thus sufficient. Original question is as follows: If n is an integer, is 10^n≤0.001?Is \(10^n\leq{0.001}\)? > is \(10^n\leq{\frac{1}{10^3}}\)? > is \(10^n\leq{10^{3}}\)? > is \(n\leq{3}\)? So basically the question asks whether \(n\) is one of the following integers: 3, 4, 5, ... (1) \(n\leq{2}\) > \(n\) could be 2, 3, 4, ... Not sufficient. (2) \(n>5\) > \(n\) could be 4, 3, 2, 1, ... Not sufficient. (1)+(2) \(5<n\leq{2}\) > \(n\) could be: 4, 3, and 2 > if \(n\) is either 4 or 3 then the answer is YES but if \(n=2\) then the answer is NO. Not sufficient. Answer: E. P.S. In it's current form the answer is D. If we change (2) n>5, then the answer is A, as you stated. Mistake is in the question Bank. You are doing tremendous good job for the MBA admission seeker. Thank u.Good bless u.
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Re: If n is an integer, is 10^n ≤ 0.001 ?
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20 Jan 2012, 12:15
Hi, there. I'm happy to help with this. I think something is fishy here. I don't know the source, but I've looked at other postings on the web, and I've found multiple version of this question, each with a slight variation. I'm not sure what the official version would be. I'll take your question exactly as you present it: If n is an integer, is 10^n ≤ 0.001 1) n < 2 2) n < 5First look at the prompt. 10^n will be less than 0.001 = 10^(3) when n ≤ 3. Statement #1: n < 2 Well, if n is an integer less than 2, it must be n ≤ 3. This is precisely the condition that makes the prompt statement true, so statement #1 is sufficient. Statement #2: n < 5 Well, if n is an integer less than 5, it must be n ≤ 6. These are plenty low, lower than needed, so they certainly make the prompt statement true. Statement #2 is also sufficient. Given the question as it appears here, the correct answer has to be D. Notice, though, that only a slight typing mistake would radically change the question and lead to a different answer. For example: Alternate Version #1]If n is an integer, is 10^n ≤ 0.001 1) n < 2 2) n > 5 ===> Answer = AAlternate Version #2]If n is an integer, is 10 *n ≤ 0.001 1) n < 2 2) n < 5 ===> Answer = EAgain, I don't know the source, but perhaps you could check the source and see whether everything is copied correctly. Ah, just as I was writing this, Bunuel posted the correct version with an impeccably correct solution. Anyway, I hope this is helpful. Please let me know if you have any questions on what I've said. Mike
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Re: If n is an integer, is 10^n ≤ 0.001 ?
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06 Oct 2016, 15:01
Baten80 wrote: If n is an integer, is 10^n ≤ 0.001 (1) n <= 2 (2) n > 5 I answered A. Did not understand the OA. 1) 10^3 = 1/1000 = 0.001 if n ≥3 then the value will ≤ 0.001. Thus sufficient. We know "n" is an integer and want to know if 10^2 <= 0.001 1: n<= 2: 2 gives us 10^2 which = 1/100 or .01, thus it is a "no" 3 gives us 10^3 which = 1/1000 or .001 and is a "yes" Insufficient 2: n>5: 4 gives us 10^4 which is a "yes" but 0 gives us 10^0 which = 1 and that is a "no" Insufficient 1&2: n<=2 and n>5, and it must be an integer, so we have n=2, n=3, and n=4 as acceptable values We already tested all 4 and we know n=2 is a "no" while n=3 is "yes" so this is Insufficient for both, E!



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Re: If n is an integer, is 10^n ≤ 0.001 ?
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11 Jan 2019, 09:00
Baten80 wrote: If n is an integer, is 10^n ≤ 0.001
(1) n <= 2 (2) n > 5
Given n is an integer. Q > 10^n ≤ 0.001 Statement 1 > n<= 2, n can be values such as 2,3,4, when substituted in 10^n ≤ 10^3, will not give you a definite answer. Statement 2 > n > 5, n can be values such as 2,3,4, when substituted in 10^n ≤ 10^3, will not give you a definite answer. When You combine both the statements, 2,3,4 will be the corresponding data set. Answer E.
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Re: If n is an integer, is 10^n ≤ 0.001 ?
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12 Jan 2019, 09:32
From the question, in order to answer YES, you need to know if n is less than or equal to 3. But in statement 1 it could also be 2 (insufficient). In statement 2 is could be less than or greater than 3 (insufficient). Even using both, it can still be 2 or 3. So letter E.
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