Last visit was: 12 Sep 2024, 01:37 It is currently 12 Sep 2024, 01:37
Toolkit
GMAT Club Daily Prep
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

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.

If k is a positive two-digit integer, what is the tens digit of k?

SORT BY:
Tags:
Show Tags
Hide Tags
Intern
Joined: 19 Dec 2015
Posts: 23
Own Kudos [?]: 851 [50]
Given Kudos: 11
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11510
Own Kudos [?]: 35949 [19]
Given Kudos: 333
Director
Joined: 20 Feb 2015
Posts: 626
Own Kudos [?]: 742 [9]
Given Kudos: 74
Concentration: Strategy, General Management
General Discussion
Intern
Joined: 08 Sep 2015
Posts: 10
Own Kudos [?]: [0]
Given Kudos: 0
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.
Retired Moderator
Joined: 04 Aug 2016
Posts: 386
Own Kudos [?]: 341 [0]
Given Kudos: 144
Location: India
GPA: 4
WE:Engineering (Telecommunications)
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
CounterSniper
shriraj93
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.

you added 6 to the tens digit directly !!

The question says K+6
and k = say 10a+b
from statement 1
a+b=5
possible cases
14
41
23
32
50

from statement 2
pick any of these cases and add 6 to it , this should give tens digit as 3

the only possible value , K =32
as 32 + 6 =38 where tens digit is 3

Therefore C

Hi, I agree with your solution - but from the question stem: it says that "The sum of the tens digit of k and the units digit of k is 5."

so shouldn't the possible cases you mentioned also include 05 ?
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11510
Own Kudos [?]: 35949 [0]
Given Kudos: 333
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
warriorguy
CounterSniper
shriraj93
I am bit confused here. lets assume x and y are tens, and unit digit of K. i.e k =xy

1) The sum of the tens digit of k and the units digit of k is 5.

x+y=5

not enough.
2) The tens digit of k + 6 is 3.

then according to this statement it should be x+6=3 cause x is tens digit.

but this is not possible so answer is E.

Help me to understand the second statement. I am strugling with these kind of senteses.

you added 6 to the tens digit directly !!

The question says K+6
and k = say 10a+b
from statement 1
a+b=5
possible cases
14
41
23
32
50

from statement 2
pick any of these cases and add 6 to it , this should give tens digit as 3

the only possible value , K =32
as 32 + 6 =38 where tens digit is 3

Therefore C

Hi, I agree with your solution - but from the question stem: it says that "The sum of the tens digit of k and the units digit of k is 5."

so shouldn't the possible cases you mentioned also include 05 ?

Hi,
The reason 05 is not included is that05 is same as 5 and thus is a ONE digit number, BUT we are asking about TWO digit numbers.....

If we are talking of making codes etc then 05 will be a case but not here...
Retired Moderator
Joined: 04 Aug 2016
Posts: 386
Own Kudos [?]: 341 [0]
Given Kudos: 144
Location: India
GPA: 4
WE:Engineering (Telecommunications)
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
chetan2u

Hi,
The reason 05 is not included is that05 is same as 5 and thus is a ONE digit number, BUT we are asking about TWO digit numbers.....

If we are talking of making codes etc then 05 will be a case but not here...

oh my! I feel like a dumb f***. Thanks Chetan
Manager
Joined: 12 Jul 2020
Posts: 142
Own Kudos [?]: 423 [0]
Given Kudos: 261
GMAT Focus 1:
615 Q79 V83 DI79
GMAT 1: 530 Q42 V20
GMAT 2: 640 Q48 V29
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]

It says that The tens digit of k + 6 is 3. Suppose K = ab, as per my understand it says a+6 = 3. I know I'm missing something here, but not able to figure it out.
Tutor
Joined: 17 Jul 2019
Posts: 1299
Own Kudos [?]: 1787 [1]
Given Kudos: 66
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
1
Kudos
AnkurGMAT20

It says that The tens digit of k + 6 is 3. Suppose K = ab, as per my understand it says a+6 = 3. I know I'm missing something here, but not able to figure it out.

If the tens digit of k is a, and the units digit of k is b, as you suggested AnkurGMAT20, then the value of k is 10a + b.
In that case, k + 6 = 10a + b + 6
So I think you misinterpreted the statement. It's not saying "(the tens digit of k) + 6 is 3". Rather, it's saying "the tens digit of (k + 6) is 3"
Non-Human User
Joined: 09 Sep 2013
Posts: 34816
Own Kudos [?]: 877 [0]
Given Kudos: 0
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
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.
Re: If k is a positive two-digit integer, what is the tens digit of k? [#permalink]
Moderator:
Math Expert
95463 posts