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Re: What is the tenths digit in the decimal representation of a [#permalink]

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24 Sep 2012, 05:12

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SOLUTION

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3.

(2) The number is greater than 1/4.

Each statement alone is clearly insufficient. When taken together we have \(0.25<x<0.333...\). Hence the tenths digit can be 2 (for example if x= 0.251) or 3 (for example if x=0.3). Not sufficient.

Re: What is the tenths digit in the decimal representation of a [#permalink]

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24 Sep 2012, 05:28

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The number is less than 1/3 (2) The number is greater than 1/4 1) Tenth digit can be 0,1,2,3 - Insufficient 2) Tenth digit can be 2,3,4,5..-Insufficient 1+2) .25<x<.333 - x can be 2,3-Insufficient Answer E _________________

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Re: What is the tenths digit in the decimal representation of a [#permalink]

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24 Sep 2012, 09:28

Bunuel wrote:

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3 (2) The number is greater than 1/4

lets assume N = 0.xyz...

(1) N < 1/3 N < 0.333333

Now, N can be 0.234 or 0.3111 or 0.121212 Basically, tenths digit can be 0 or 1 or 2 or 3 So, we cant say what would be the tenths digit hence not sufficient.

(2) N > 1/4 N > 0.25 Now, here digit can be 2,3,4,5,6,7,8,9 Hence this is also not sufficient

combining (1) and (2), the tenths digit can be either 2 or 3. So, we can't answer the exact digit.

Re: What is the tenths digit in the decimal representation of a [#permalink]

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28 Sep 2012, 05:06

Expert's post

SOLUTION

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3.

(2) The number is greater than 1/4.

Each statement alone is clearly insufficient. When taken together we have \(0.25<x<0.333...\). Hence the tenths digit can be 2 (for example if x= 0.251) or 3 (for example if x=0.3). Not sufficient.

Answer: E.

Kudos points given to everyone with correct solution. Let me know if I missed someone. _________________

When to actually consider a negitive (or unspecified bounds) [#permalink]

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21 Mar 2013, 22:32

As I am going through the OG12 and other sources, I notice the use of when to consider a negitive (or similar) inconsistent during answer explainations from the question makers.

For example, today I came across this DS question:

OG12 question 43 page 276 What is the tenths digit in the decimal representation of a certain number?

1) the number is less than 1/3 2) the number is greater than 1/4

The OA states:

1) Since the number is less than 1/3, the tenths digit can be 0,1,2, or 3; NOT sufficient 2) Since the numebr is greater than 1/4, the tenths digit can be 2,3,4, ..., 9; NOT sufficient

My contention is that the OA doesn't take into consideration negitive numbers for S1, nor numbers greater than 1 for S2. Because of this, the tens digit could be any number 0-9 for either S1 or S2. Of course, in this question it doesn't affect the outcome of the correct answer being E; but I have seen questions inconsistently consider negitives or not

Any insight as to when to ignore negitives (or other bounds like non-integer/fractions) despite the question not stating it in any manner?

Re: What is the tenths digit in the decimal representation of a [#permalink]

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02 May 2015, 04:45

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Re: What is the tenths digit in the decimal representation of a [#permalink]

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03 May 2015, 09:38

We are looking for the tenths digit 0.(?)... and thus we ignore the following digits (...)

(1) X <1/3.

The number is smaller than 0.33.... This allows for the number to be 3,2,1,0 (and if we allow for X to be negative it could be any number. e.g. -0.9, -0.7 etc.) Not sufficient.

(2) X > 1/4

The number is thus larger than 0.25 allowing for the digit to be of any value. As such it's not sufficient.

(1)+(2) 1/4<X<1/3.

Or 0.25<X<0.33. This means we can have either 2 or 3 as the digit in the tenths place. Not sufficient together, E.

Re: What is the tenths digit in the decimal representation of a [#permalink]

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24 Apr 2016, 20:19

Hey chetan2u i have a question regarding this official question. The answer is clearly E but here is my doubt=> the official guide says that that for statement 1 the unit digits can be 0 or 1 or 2 or 3 now what if the number is -2.55 or -198.67 My point being the negative numbers are possible too but why is not GMAT offical testmakers considering them .. Similarly for statement two the tens digits can be 8 or 1 or 3 or anything as per me.

Re: What is the tenths digit in the decimal representation of a [#permalink]

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24 Apr 2016, 20:27

Expert's post

stonecold wrote:

Hey chetan2u i have a question regarding this official question. The answer is clearly E but here is my doubt=> the official guide says that that for statement 1 the unit digits can be 0 or 1 or 2 or 3 now what if the number is -2.55 or -198.67 My point being the negative numbers are possible too but why is not GMAT offical testmakers considering them .. Similarly for statement two the tens digits can be 8 or 1 or 3 or anything as per me.

Just lemme know if i am missing something here ?

Regards StoneCold

hi,

I would say that we consider the negative too.. the Q nowhere mentions that the number is positive.. the GMAT nowhere says a decimal cannot be negative.. so may be the explanation has missed out on these numbers as the answer does not get affected.. _________________

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