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Gmat prep question

Expert replies
Source: — Problem Solving |

by guerrero » Sun Apr 21, 2013 3:09 pm
Puneet , this has been nicely explained by Anurag here

https://www.beatthegmat.com/number-line-t85455.html.

Please use the search thread to see if the question already exist and has been discussed .

Also, avoid using screen shots unless its a diagram . Its not a good practice ..

regards!
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by GMATGuruNY » Sun Apr 21, 2013 6:17 pm
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be

A. less than -10
B. between -1 and -1/10
C. between -1/10 and 0
D. between 0 and -1/10
E. greater than 10
Let n = -1/20.
This works because (-1/20)² = 1/400, which is less than 1/100.
In this case, the reciprocal of n = -20.

Only answer choice A works:
-20 is less than -10.

The correct answer is A.
Last edited by GMATGuruNY on Sun Apr 21, 2013 6:20 pm, edited 1 time in total.
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by Anju@Gurome » Sun Apr 21, 2013 6:20 pm
puneet2329 wrote:If n denotes a number to the left of 0 in the number line such that the square of n is less than the 1/100, then the reciprocal of n must be

A. Less than -10
B. Between -1 and - 1/10
C. Between -1/10 and 0
D. Between 0 and 1/10
E. Greater than 10
We can plug some number for n and check it reciprocal.
As n lies on the left of the 0 on the number line, n must be negative.
Also square of n is less than 1/100. So, n must be greater than -√(1/100) = -1/10

Let us assume n = -1/100
Reciprocal of n = 1/n = 1/-(1/100)) = -100 < -10

The correct answer is A.
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