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

Redeem

knewton vr 15

Expert replies
by pradeepkaushal9518 » Wed Oct 06, 2010 5:08 am
When a player in a certain game rolled a standard, six-sided die a number of times, she rolled an even number 3 more times than she rolled an odd number. How many times did she roll an even number?

The player rolled the die 21 times.
The player got 5 points for each even number rolled and 2 points for each odd number rolled, for a total of 78 points.
A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
A SMALL TOWN GUY
Join the discussion
Source: — Problem Solving |

by GMATGuruNY » Wed Oct 06, 2010 5:26 am
pradeepkaushal9518 wrote:When a player in a certain game rolled a standard, six-sided die a number of times, she rolled an even number 3 more times than she rolled an odd number. How many times did she roll an even number?

The player rolled the die 21 times.
The player got 5 points for each even number rolled and 2 points for each odd number rolled, for a total of 78 points.
A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
she rolled an even number 3 more times than she rolled an odd number
E = O+3

E=?

Statement 1:
E+O = 21.
2 variables, 2 equations. Sufficient.

Statement 2:
5E + 2O = 78.
2 variables, 2 equations. Sufficient.

The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Join the discussion

by Yanat » Wed Oct 06, 2010 6:50 am
In my view, the correct answer is D.
Join the discussion

by ksundar » Wed Oct 06, 2010 2:50 pm
Let X be even number's count and y be odd number count.

Dice was rolled 21 times. So x+y = 21
From the second statement, 5x+2y = 78

We need both the statements to solve the problem.

Answer is C
Join the discussion

by ksundar » Wed Oct 06, 2010 2:53 pm
oops I missed one more input in the question. Damn! Agree with D.
Join the discussion