It is currently 26 Jun 2017, 05:50

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks

Author Message
TAGS:

Hide Tags

Manager
Joined: 10 Feb 2011
Posts: 114
There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

Show Tags

09 Mar 2011, 08:15
5
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:50) correct 41% (01:01) wrong based on 94 sessions

HideShow timer Statistics

There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color)

(A) 3
(B) 5
(C) 7
(D) 9
(E) 11
[Reveal] Spoiler: OA
Intern
Joined: 06 Feb 2011
Posts: 27
Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

Show Tags

09 Mar 2011, 08:37
1
KUDOS
1
This post was
BOOKMARKED
banksy wrote:
253. There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color)
(A) 3
(B) 5
(C) 7
(D) 9
(E) 11

2 Blue socks, 4 white socks, 6 black socks and 8 red socks.

Question is asking what is the worst case scenario to get matching socks?

Since there are 4 colors, if you draw 4 socks, worst case scenario is you could still have 1 sock per color and not have a match.

Therefore, upon drawing the 5th sock, you will definitely have a match since the 5th sock will form a least a pair with the 1st 4

So 4+1 = 5

Ans: B
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15978
Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

Show Tags

15 May 2016, 12:55
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.
_________________
Manager
Joined: 01 Dec 2016
Posts: 112
Location: Cote d'Ivoire
Concentration: Finance, Entrepreneurship
WE: Investment Banking (Investment Banking)
Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

Show Tags

02 Jun 2017, 03:50
This type of question does not involve any calculation.
Just logic is required.
We ahve 4 different types of socks (Blue, White, Black, Red). In the worse case, you will draw each of 4 different colors in the 4 first drawals.
Then, the next drawal will definitely be one of those for color.

_________________

What was previously thought to be impossible is now obvious reality.
In the past, people used to open doors with their hands. Today, doors open "by magic" when people approach them

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1158
Location: United States (CA)
Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

Show Tags

05 Jun 2017, 15:49
banksy wrote:
There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color)

(A) 3
(B) 5
(C) 7
(D) 9
(E) 11

We need to determine the fewest number of socks that we must pull to get a matching pair.

Pull one: blue

Pull two: white

Pull three: red

Pull four: black

We see that on the 5th pull, no matter what color sock is pulled, we’d have a matching pair.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks   [#permalink] 05 Jun 2017, 15:49
Similar topics Replies Last post
Similar
Topics:
5 A drawer contains red socks, black socks, and white socks. What is the 13 09 Nov 2016, 10:20
12 George's drawer has 10 loose black socks, 15 loose blue socks, and 8 8 16 May 2017, 20:39
5 A drawer has six loose blue socks and six loose white socks. 17 12 Nov 2016, 12:56
9 In a shop, 40% socks are white and rest are black. 60% socks are made 12 16 May 2016, 19:52
13 There are 5 pairs of socks: 2 blue, 2 white, 2 black, 2 yell 13 25 Jul 2014, 03:16
Display posts from previous: Sort by