A certain number of marbles are to be removed from a box containing only solid-colored red, yellow, and blue marbles. How many more yellow marbles than red marbles are in the box before any are removed?
(1) To guarantee that a red marble is removed, the smallest number of marbles that must be removed from the box is 14.
(2) To guarantee that a yellow marble is removed, the smallest number of marbles that must be removed from the box is 8.
OAC
Marbles
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Question stem: What is the value of Y-R?j_shreyans wrote:A certain number of marbles are to be removed from a box containing only solid-colored red, yellow, and blue marbles. How many more yellow marbles than red marbles are in the box before any are removed?
(1) To guarantee that a red marble is removed, the smallest number of marbles that must be removed from the box is 14.
(2) To guarantee that a yellow marble is removed, the smallest number of marbles that must be removed from the box is 8.
OAC
Statement 1: To guarantee that a red marble is removed, the smallest number of marbles that must be removed from the box is 14.
Implication:
It is possible to remove 13 NON-RED marbles, with the result that AT LEAST 14 marbles must be removed to guarantee that a red marble is removed.
Since there are 13 non-red marbles, we get:
Y+B = 13.
No way to determine the value of Y-R.
INSUFFICIENT.
Statement 2: To guarantee that a yellow marble is removed, the smallest number of marbles that must be removed from the box is 8.
Implication:
It is possible to remove 7 NON-YELLOW marbles, with the result that AT LEAST 8 marbles must be removed to guarantee that a yellow marble is removed.
Since there are 7 non-yellow marbles, we get:
B+R = 7.
No way to determine the value of Y-R.
INSUFFICIENT.
Statements combined:
Subtracting B+R=7 from Y+B=13, we get:
(Y+B) - (B+R) = 13-7
Y-R = 6.
SUFFICIENT.
The correct answer is C.
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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].
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