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:
Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to pre-think assumptions and solve the most challenging questions in less than 2 minutes.
Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
Updated on: 21 Sep 2019, 04:10
3
28
00:00
A
B
C
D
E
Difficulty:
65% (hard)
Question Stats:
53% (01:28) correct 47% (01:36) wrong based on 429 sessions
HideShow timer Statistics
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ?
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
11 Apr 2012, 09:45
5
3
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on separrate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
I am getting how to solve this problem.
Thanks in advance for your attempt
You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3, 4, and 5 then no two numbers out of these 6 add up to 10.
Now, the next, 7th number whatever it'll be (6, 7, 8, or 9) will guarantee that two number WILL add up to 10. So, 7 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10.
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
15 Feb 2016, 21:48
2
2
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
Hi,
If we can correlate the info of the Q with the properties of number, teh Q can turn into a sitter...
given
1) 0 to 9 numbers are written.. 2) no number can be repeated.. 3) min number that we MUST have some TWO numbers picked up totalling to 10..
Info
1) there are two digits which do not add up to 10 when combined with a DIFFERENT number :- 0,5 2) remaining 8 can be divided into 4 pair of digits that add up to 10 :- 1,9 : 2,8 : 3,7 : 4,6 ...
Method
We pick up the worst scenario, where none add up to 10.. 1) we can straight way pick up 0 and 5.. 2) thereafter we can pick up one each from the 4 pairs : 1 or 9 : 2 or 8 : 3 or 7 : 4 or 6.. 3) Now, whatever we pick from remaining 4, it will make a pair with the 6 already picked to add up to 10.. so the answer is we require 2+4+1=7 to be sure that some slip will add up to 10.... ans 10.. E
_________________
Concentration: General Management, Entrepreneurship
GPA: 3.61
WE: Consulting (Manufacturing)
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
25 Jun 2013, 08:58
Bunuel wrote:
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on separrate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
I am getting how to solve this problem.
Thanks in advance for your attempt
You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3, 4, and 5 then no two numbers out of these 6 add up to 10.
Now, the next, 7th number whatever it'll be (6, 7, 8, or 9) will guarantee that two number WILL add up to 10. So, 7 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10.
Answer: E.
Hi Bunnel, This solution means we are actually able to decide what we are going to pick. Right? I some how got the idea we can not see which slip we are going to pick, so my answer was 9. If we cannot decide which one to pick then will 9 be correct?
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
25 Jun 2013, 10:28
1
2
cumulonimbus wrote:
Bunuel wrote:
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on separrate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
I am getting how to solve this problem.
Thanks in advance for your attempt
You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3, 4, and 5 then no two numbers out of these 6 add up to 10.
Now, the next, 7th number whatever it'll be (6, 7, 8, or 9) will guarantee that two number WILL add up to 10. So, 7 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10.
Answer: E.
Hi Bunnel, This solution means we are actually able to decide what we are going to pick. Right? I some how got the idea we can not see which slip we are going to pick, so my answer was 9. If we cannot decide which one to pick then will 9 be correct?
Nope. The question asks "how many must be drawn to ensure that..."
To ensure that the sum will be 10 we should consider the worst possible scenario.
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
15 Jul 2014, 23:36
manish2014 wrote:
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10? a 3 b 4 c 5 d 6 e 7
You can make a sum of 10 by pairing these numbers: 1, 9 2, 8 3, 7 4, 6
So if you pick only one number from each of these pairs and the leftover 2 numbers: 0 and 5, you would have picked 6 numbers without any two numbers adding up to 10. When you pick the next number (7th), there will be one of the 'sum 10' pairs. So picking 7 numbers will give you one of the required pairs for sure!
Answer (E)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
29 Dec 2017, 10:23
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
Just a view :
Even after drawing 7 if we pair it with 0 we will not get a 10 , Drawing 7 does not ensure that sum of ANY of the drawn slips will be 10. Yes, we can make a 10 but we can also NOT do so. Isn't the question asking how many we must draw to ensure (100%) that sum of ANY of the 2 drawn slips must be 10?
Maybe I am over reading the word " ANY".
How many must be withdrawn so that we CAN make a pair with a sum 10 seems , more appropriate.
_________________
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
11 Mar 2018, 22:58
stne wrote:
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A. 3 B. 4 C. 5 D. 6 E. 7
Just a view :
Even after drawing 7 if we pair it with 0 we will not get a 10 , Drawing 7 does not ensure that sum of ANY of the drawn slips will be 10. Yes, we can make a 10 but we can also NOT do so. Isn't the question asking how many we must draw to ensure (100%) that sum of ANY of the 2 drawn slips must be 10?
Maybe I am over reading the word " ANY".
How many must be withdrawn so that we CAN make a pair with a sum 10 seems , more appropriate.
Hello
I think the question does NOT mention the word ANY. The question clearly states, "....how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10". So if we pick 7 slips, we can be completely sure that we will be able to find two slips here which will add up to '10'. And in worst case scenario, 7 slips are what are required to be drawn.
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
04 Aug 2019, 04:53
joynal2u wrote:
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Re: Each of the integers from 0 to 9, inclusive, is written on a separate
[#permalink]
Show Tags
21 Sep 2019, 04:05
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.
_________________
close
53% (01:28) correct 
