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Source: — Data Sufficiency |

by Anurag@Gurome » Sat Feb 04, 2012 5:44 am
geet_ge wrote:Please help me understand why 20/11 = y (price of one marker) is not sufficient for the solution?
At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers. Is $10 enough to buy 4 notepads and 4 markers ??

If 5x + 3y ≤ 10, then is 4x + 4y ≤ 10?

(1) Each notepad costs less than $1 implies it could be any value less than $1; NOT sufficient.

(2) $10 is enough to buy 11 notepads implies 11x < 10 or x < 10/11, almost same as statement 1; NOT sufficient.

Combining (1) and (2), if the cost of notepad is less, then 4x + 4y ≤ 10 would be true but if in case the cost of a notepad is $0.1 and cost of marker is $3, then 4x + 4y ≥ 10. No definite answer; NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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