Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

what is the tens digit of k? [#permalink]
09 Aug 2009, 11:22

2

This post received KUDOS

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

29% (01:42) correct
71% (01:18) wrong based on 9 sessions

If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

Re: what is the tens digit of k? [#permalink]
09 Aug 2009, 11:35

tarek99 wrote:

If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

please show your solving.

thanks!

The answer is A.

Consider Statement 1:pick numbers to resolve it, if unit digit of k takes from 1 to 9, then adding nine would increase the tens digit by 1, hence it should be 2..sufficient to answer the question

Consider statement 2: if unit digit takes anything between 1 t0 5 , then on adding 4 tens digit remains the same. so in this case it would be 2, but if unit digit take from 6 to 9, tens digit would increase by 1, so this case its 1.

Re: what is the tens digit of k? [#permalink]
09 Aug 2009, 23:40

2

This post received KUDOS

Lets say k=x,y,z.

All of x, y and z are in the range of 1-9 (Given). Find Tens Digit ie y.

Stmt 1 Says: K + 9 = gives a number with 3 as the tens digit. With that we can safely say that the Tens digit of k has to be 2. For eg let k be 121. Adding 9 will give 130. Similiarly, if k = 129, adding 9 will give 138. If we have k = 111, adding 9 will give 120 which goes against the stmt.

Stmt 2 : Not Suff as explained by alwynjoseph.

Hence, A. _________________

GMAT offended me. Now, its my turn! Will do anything for Kudos! Please feel free to give one.

Re: what is the tens digit of k? [#permalink]
09 Aug 2009, 23:45

[quote="tarek99"]If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

k= xyz , z is not 0 what is y??

from 1 xyz + 009 ------- z is not 0 thus surely we carried one to add to y thus y = 2...suff

from 2 xyz + 004 -------

if 0<z<6 y = 3 if 6<=z<=9 thus y = 2 .............insuff

A, hi Tarek , i think it is easier to visualize it this way, hope it helps.

Re: what is the tens digit of k? [#permalink]
08 Sep 2009, 11:14

mendelay wrote:

There's something wrong with the way this question is worded. If you add 9 to one digit, you cannot get 3. The question should say

(1) When 9 is added to the integer k = 3. (2) When 4 is added to the integer k = 2.

I think the question is correctly worded. We need to find out the tens digit of a 3 digit integer K, having a non-zero units digit. If we add 9 to integer K (3 digit, non-zero units digit), then the tens digit of K become 3. Whereas if we add 4 to integer K (3 digit, non-zero units digit), then the tens digit of K become 2.

Re: what is the tens digit of k? [#permalink]
09 Dec 2009, 10:06

Consider

x y z + + 9

Minimum value of z is 1. Maximum value of z is 9 In both cases if 9 is added to z, it will produce 1 as carry over to y (tens digit) If y becomes 3 after the addition, then it was 2 before the addition

Statement 1-----sufficient

Statement 2 is clearly insufficient, as we could have a carry from the Units digit and not have a carry (with the addition of 4). Each will give different result

Re: what is the tens digit of k? [#permalink]
13 Aug 2011, 08:20

The question is fine I think.

Going by stmt 1: k+9 giving 3 in the tenths place would mean any number with two in the tenths place can give this. Sufficient. Going by stmt 2: k+4 giving 2 in tenths place would mean any number between 1 and 5 in the hundreds place would return the same number in the tenths place. Any number between 6 and 9 in the hundreds place would return the next value. Therefore insufficient. _________________

Re: what is the tens digit of k? [#permalink]
14 Aug 2011, 04:53

i think A is the answer. if the units digit is non -zero, then no matter what it is, if u plus 9 , u will get 1. 1 +x =3 then the tens digit is 2 st2 cant help us to determine the tens digit _________________

Happy are those who dream dreams and are ready to pay the price to make them come true

gmatclubot

Re: what is the tens digit of k?
[#permalink]
14 Aug 2011, 04:53