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Re: If k is a positive integer and the tens digit of k+5 is 4, what is the [#permalink]

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07 Jan 2010, 00:05

bekbek wrote:

Could anyone help what the question asks? Thanks.

If k is a positive integer and the tens digit of k+5 is 4, what is the tens digit of k?

1) k>35 2) The units digit of k is greater than 5.

OA is "B"

Does it mean it can be: 36, 37 ... 44. from (1) statement and 36, 37, 38 and 39 from the (2) statement. and k is 3?

yes. That is correct.

k can be any sized integer from 2 digit or more (it has to be at least 2 digits since the stimulus says it has a tens digit)

lets consider that k is 3 digits: abc

From the stimulus, in order for the tens digit of k+5 to equal 4: a35 < k < a45 here we see that the value of a doesn't matter so we only need to consider 2 digit numbers for k. so 35<k<45.

1) this is redundant from the information in the stimulus. INSUFF. 2) the units digit of k can be greater than 5 only when the tens digit is 3. SUFF. _________________

If you like my post, a kudos is always appreciated

I can't seem to understand the question - how can a digit + 5 = 4? Are we talking about rounding numbers here?

Can someone please explain?

Hi, It's been asked about tens digit of K+5=4 hence its possible to have 4 as answer.... Answer should be B. My explanation for the answer as follows; 1. K>35 Stmt one satisfies many numbers starting from 36 till 44 where tens digit of k+5 is 4 (E.g. 36+5=41, 37+5=42....41+5=46). Here tens digit of K has two options either 3 or 4 hence can't answer uniqure number K.

2. Unit Digit of K is >5 For this we have only 4 options available which satisfies tens digit of k+5=4 condition. Numbers are 36, 37, 38 and 39. All these 4 numbers have only one unique number as tens digit i.e. 3 Hence we got our answer. Hence B is suff to answer the question.

Question stem says 40 <= k+5 <= 49, thus 35 <= k <= 44 Statement 1 says k > 35, thus 36 <= k <= 44. Tens digit could be 3 or 4, insufficient Taking into account the range of k provided in the question stem, statement 2 says that 36 <= k <= 39. Units digit must be 3, sufficient Answer B

I can't seem to understand the question - how can a digit + 5 = 4? Are we talking about rounding numbers here?

Can someone please explain?

I solved it this way:

Stmt1:

Now the possible values satisfying this statement and question statement are: where, nos in bold represtents K.

36+5=41 37+5=42 38+5=43 ' ' ' till 44+5=49

But since there are are two answers for ten's Digit of K ie 3 and 4, stmt 1 is NS.

Now taking stmt2 alone we can say that all the values where K's Ten's digits is 3 qualifies the statement condition, hence it is sufficient alone.All other values with K's Ten's digits as 4 will not qualify because in that case the 2nd stmt condition that K's unit digit is greater than 5 is not met.

If k is a positive integer and the tens digit of k+5 is 4, what is the tens digit of k?

Translate the stem: "the tens digit of k+5 is 4" --> \(40\leq{k+5}\leq{49}\) --> \(35\leq{k}\leq{44}\) --> so the tens digit of \(k\) could be 3 or 4.

Side note: strictly speaking \(k\) could be more than two digit number (for example 3-digit \(x40\leq{k+5}\leq{x49}\) ), though as we are interested only in units and tens digit then this wouldn't change anything and we can neglect other digits.

(1) k > 35 --> just tells us that \(k\neq{35}\), so we have \(35<{k}\leq{44}\) --> the tens digit of \(k\) could still be 3 or 4. Not sufficient.

(2) The units digit of k is greater than 5 --> \(k\) could only be 36, 37, 38, 39 --> so the tens digit of \(k\) is 3. Sufficient.

I can't seem to understand the question - how can a digit + 5 = 4? Are we talking about rounding numbers here?

Can someone please explain?

Hi, It's been asked about tens digit of K+5=4 hence its possible to have 4 as answer.... Answer should be B. My explanation for the answer as follows; 1. K>35 Stmt one satisfies many numbers starting from 36 till 44 where tens digit of k+5 is 4 (E.g. 36+5=41, 37+5=42....41+5=46). Here tens digit of K has two options either 3 or 4 hence can't answer uniqure number K.

2. Unit Digit of K is >5 For this we have only 4 options available which satisfies tens digit of k+5=4 condition. Numbers are 36, 37, 38 and 39. All these 4 numbers have only one unique number as tens digit i.e. 3 Hence we got our answer. Hence B is suff to answer the question.

If you like explanation, consider for kudos....

I agree. The way the question is worded is misleading. Initially even I took it to be the tens digit of a number + 5 = 4 i.e. if a two digit number was say TU then T+5 =4. It made no sense. So I decided that it was one of those badly worded questions and took it to be k + 5 instead of T + 5. Once I got that correct, the question seemed pretty straight forward from there on... The trap here is that the question doesn't ask for the number k, rather asks what is the tens digit i.e. T. Thus B is sufficient. _________________

-DK --------------------------------------------------------- If you like what you read then give a Kudos! Diagnostic Test: 620 The past is a guidepost, not a hitching post. ---------------------------------------------------------

Re: If k is a positive integer and the tens digit of k+5 is 4 [#permalink]

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25 Sep 2014, 07:10

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Does it mean it can be: 36, 37 ... 44. from (1) statement and 36, 37, 38 and 39 from the (2) statement. and k is 3?

Hi Bekbek, i'm new here. How do you know how to classify whether this questions is 700 level or not? because it seems quite straightforward as compared to the other 700 level questions.

Does it mean it can be: 36, 37 ... 44. from (1) statement and 36, 37, 38 and 39 from the (2) statement. and k is 3?

Hi Bekbek, i'm new here. How do you know how to classify whether this questions is 700 level or not? because it seems quite straightforward as compared to the other 700 level questions.

The system itself classifies a question based on users attempts shown in stats. _________________

Does it mean it can be: 36, 37 ... 44. from (1) statement and 36, 37, 38 and 39 from the (2) statement. and k is 3?

Hi Bekbek, i'm new here. How do you know how to classify whether this questions is 700 level or not? because it seems quite straightforward as compared to the other 700 level questions.

The system itself classifies a question based on users attempts shown in stats.

oh wow! ok thanks a lot for answering my questions!

gmatclubot

Re: If k is a positive integer and the tens digit of k+5 is 4
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