BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

A drawer contains 12 socks, of which 8 are black and 4 are

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

A drawer contains 12 socks, of which 8 are black and 4 are

by AAPL » Thu Nov 22, 2018 2:50 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Princeton Review

A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 of the socks are removed, how many of the socks that remain in the drawer are black?

(1) The socks that remain in the drawer have a ratio of 2 black to 1 white.
(2) One of the first two socks removed is black.

OA A.
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Thu Nov 22, 2018 11:22 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AAPL wrote:Princeton Review

A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 of the socks are removed, how many of the socks that remain in the drawer are black?

(1) The socks that remain in the drawer have a ratio of 2 black to 1 white.
(2) One of the first two socks removed is black.

OA A.
Let's take each statement one by one.

(1) The socks that remain in the drawer have a ratio of 2 black to 1 white.

Say the out of the 3 removed socks, x were black, thus, (3 - x) were white.

Number of black socks (now) = 8 - x;
Number of white socks (now) = 4 - (3- x) = 1 + x;

Ratio of Black socks to White socks = (8 - x) : (1 + x) :: 2 : 1

=> x = 2

The number of socks that remain in the drawer black = 8 - 2 = 6. Sufficient.

(2) One of the first two socks removed is black.

We have no information about the third. Insufficient.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Mehdipatnam | Hyderabad GMAT Prep | Bangalore GMAT Courses | Dilsukhnagar GRE Prep | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Sat Nov 24, 2018 11:51 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

After removing three socks
remaining socks =12-3 = 9 socks
The 3 socks removed could be either 3 blacks, 3 whites , 1 black and 2 whites, 2 blacks and 1 white
$$let\ black\ =B\ and\ white\ =W$$

Statement 1
The socks that remain in the drawer have a ratio of 2B to 1W
$$9\ socks\ =\frac{\left(2B+2B+2B\right)}{\left(1W+1W+1W\right)}=\frac{6B}{3W}=6B:2W$$
Hence, there are 6 Blacks remaining in the drawer.
$$Statement\ 1\ is\ INSUFFICIENT$$

Statement 2
One of the first two socks removed is black, This means that from the first two socks removed, at least one of them is Black.
From the question, three socks were removed from the three socks there are two different possibilities;
1B and 2W or 2B and 1W ; this information doesn't tell us about the remaining 9 socks.
Hence Statement 2 is INSUFFICIENT

Statement 1 alone is SUFFICIENT
$$answer\ is\ option\ A$$
Top
Post new topic Post Reply
• Page 1 of 1