avohden wrote:

A health club charges an annual $10 renewal fee for all memberships that are not renewed at least 30 days before they would expire. If Eileen renewed her membership 7 days ago, was she charged the renewal fee?

(1) If Eileen had renewed her membership 14 days later, she would have paid the renewal fee.

(2) If Eileen had renewed her membership 3 days later, she would not have paid the renewal fee.

SOURCE: GMAT HACKS - Question of the Day - 9/25/2013

Responding to a pm:

"If Eileen renewed her membership 7 days ago, was she charged the renewal fee?"

Say today is 8th Oct and Eileen renewed her membership on 1st Oct. We need to know whether she was charged the renewal fee.

(1) If Eileen had renewed her membership 14 days later, she would have paid the renewal fee.

If she had instead renewed on 15th Oct, she would have paid renewal fee. But we don't know when her membership is expiring. If it is expiring on 20th Oct, she may have paid renewal fee on 1st Oct too. If it is expiring on 1st Nov, she may not have paid renewal fee on 1st Oct (but will need to on 15th Oct). Hence we cannot say whether she paid the renewal fee on 1st Oct or not. Not sufficient.

(2) If Eileen had renewed her membership 3 days later, she would not have paid the renewal fee.

If Eileen had renewed on 4th Oct, she would not have paid the renewal fee. This means her membership must be expiring on or after 4th Nov. Hence she must not have paid any renewal fee on 1st Oct. Sufficient.

Answer (B)

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Karishma

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