Help with this one

This topic has expert replies
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pm
Thanked: 114 times
Followed by:11 members

Help with this one

by knight247 » Thu Jun 23, 2011 10:44 am
A six-sided die has 3 of its faces painted red and the other 3 faces painted yellow. The dice
was rolled several times. How many times did the red color face up?
(1)The dice was rolled 20 times.
(2)The number of times the red color faced up was 8 more than the number of times the yellow color faced up.

(A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
(B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
(C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
(D)EACH statement ALONE is sufficient to answer the question asked.
(E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Detailed explanations would be appreciated
Source: — Data Sufficiency |

Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Thu Jun 23, 2011 10:58 am
Hi,
From(1):
if the dice is rolled 20 times, we have no idea how many times it shows red
Not sufficient
From(2):
If the dice shows yellow n times, then it shows red (n+8) times
Not sufficient

Both(1) and (2):
The dice will show either yellow or red.
So, n+ (n+8) = 20 =>n=6
So, it shows red 14 times.
Sufficient

Hence, C
Cheers!

Things are not what they appear to be... nor are they otherwise

User avatar
Newbie | Next Rank: 10 Posts
Posts: 9
Joined: Mon Apr 18, 2011 10:18 am

by vaibhavdoshi » Mon Jun 27, 2011 9:38 am
The question seems like a probability question.but it is a simple simultaneous equation

IMO C

Master | Next Rank: 500 Posts
Posts: 135
Joined: Thu May 05, 2011 9:00 am
Thanked: 4 times
Followed by:1 members
GMAT Score:700

by mirantdon » Mon Jun 27, 2011 10:21 am
imo c

oa please