Bunuel
Every evening Nigel eats half of the cookies in his cookie jar. In order to cover up his dirty deeds, he then adds two more cookies to the jar. Last week, how many cookies were there in the jar on Wednesday morning?
(1) When full, the cookie jar contains 28 cookies, and on Sunday morning last week the cookie jar was full.
(2) The jar contained 10 cookies on Tuesday morning last week.
The key to correctly answering this question is to see that if we have any starting reference point number of cookies for a day before Wednesday, we can determine how many cookies there will be on Wednesday morning, because we have a defined formula for what happens to the number of cookies each evening.
Every evening the number of cookies in the jar, N, becomes N/2 + 2.
Notice, we don't have to do any math to answer this question. All we need to do is determine whether we have a starting reference point on a day before Wednesday morning. If we do, we have sufficient information. If we don't we don't have sufficient information.
Statement 1:This statement gives us a reference point of 28 cookies on Sunday morning, three days before Wednesday morning. Since we have this reference point, we know we can calculate how many cookies were in the jar on Wednesday morning.
Sufficient.
Statement 2:This statement gives us a reference point of 10 cookies on Tuesday morning, one day before Wednesday morning. Since we have this reference point, we know we can calculate how many cookies were in the jar on Wednesday morning.
Sufficient.
Each statement alone is sufficient.
The correct answer is (D).