If 0 ≤ n ≤ 9, what is the value of n?
(1) Tenth unit of 1/n is zero
(2) unit digit of 1/n ≥ n
OA is D but I don't know how to solve this question. Thanks.
Number N
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- krishnasty
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I think this question is missing a condition that n must be an integer. and statment 1 should read tenths digit?
if the tenths digit of 1/n = 0 then and n is a single digit integer then n must = 1. To test this you can try a few numbers
1/1 = 1.0, 1/2 = .5, 1/3 = .333 (at some point you can either try all numbers or realize that with a numerator of 1 and a denominator between 2 and 9 you will always get a value > 0 for the tenths digit)
therefore 1 is Sufficient.
the units digit of 1/n>=n then you also know that n must = 1
1/1 = 1 but 1/2= 0.5 - any other fraction that fits the pattern will have a units digit of zero. Thus D is the answer
However, without the condition that n is an integer, it does not work.
Statement 1 would then mean that n could equal 1, 1/2 or any fraction between 1 and zero
because 1/(1/2) = 2.0
Statement 2 would similarly not work because 1/n>=n will result in a similar option of 1 (as shown above) or 1/2 because 1/(1/2) = 2 which is greater than 1/2.
if the tenths digit of 1/n = 0 then and n is a single digit integer then n must = 1. To test this you can try a few numbers
1/1 = 1.0, 1/2 = .5, 1/3 = .333 (at some point you can either try all numbers or realize that with a numerator of 1 and a denominator between 2 and 9 you will always get a value > 0 for the tenths digit)
therefore 1 is Sufficient.
the units digit of 1/n>=n then you also know that n must = 1
1/1 = 1 but 1/2= 0.5 - any other fraction that fits the pattern will have a units digit of zero. Thus D is the answer
However, without the condition that n is an integer, it does not work.
Statement 1 would then mean that n could equal 1, 1/2 or any fraction between 1 and zero
because 1/(1/2) = 2.0
Statement 2 would similarly not work because 1/n>=n will result in a similar option of 1 (as shown above) or 1/2 because 1/(1/2) = 2 which is greater than 1/2.
Becky
Master GMAT Instructor
The Princeton Review
Irvine, CA
Master GMAT Instructor
The Princeton Review
Irvine, CA