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jorgetomas9
Somebody can explain, why the answer is C?, why the option B is insufficient, if we are told that X is >0 and is a multiple of three, the other X should be 4. Therefore, it has to be sufficient.


B is sufficient as x>0 so minimum value of x starts with 3
=> [x] = 4 and we need min. 4 pies to serve 30 guests as 8x4 = 32 slices of pie.

but too much info in one single question is bound to trap test-taker
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XavierAlexander
Julie wants to be sure that she has enough pies for each of her 30 guests to have at least one slice. One pie can be divided into eight slices. If \(⌈x⌉\)represents the least integer greater than \(x\), and \(x\) is greater than \(0\), will \(⌈x⌉\) pies be enough for each guest to have at least one slice?



(1) \(5 < 2x < 12\)

(2) \(x\) is a multiple of \(3\)

OFFCIAL EXPLANATION FROM MGMAT:
B SUFFICIENT: The question specifies that x is greater than 0. Therefore, x can be any positive multiple of 3. All of these produce enough pies for Julie. Case 1: x = 3, [x] = 4. Yes, there are enough pies. Case 2: x = 6, [x]= 7. Yes, there are enough pies.
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2.5<x<62.5<x<6 x can be 3, 4 or 5.

If 3 pies then 8*3 = 24 slices. Not enough
If 4 or 5 pies then 32 or 40 slices. Enough.
Insufficient.

From statement 2:

x is a multiple of 3.
Already given that x > 0. So, min value of x can be 3. Then [x] is 3. Then 8*3 = 24 pies. Not enough.
If x is 6 then 48 pies. Enough.
InSufficient.

Combining both gives only x as 3. So 24 pies. Not enough.


Statement C seems to be right....How is B correct answer?
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sssjav
I have a silly doubt.

Can someone please clarify if 5.1 would be considered as a multiple of 3 or not (as 3 divides it completely)? If not, please let me know why.

Thanks for the help.
Hello,

5.1 cannot be a multiple of 3 in this case as Pies are always Integers
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Rickooreo
2.5<x<62.5<x<6 x can be 3, 4 or 5.

If 3 pies then 8*3 = 24 slices. Not enough
If 4 or 5 pies then 32 or 40 slices. Enough.
Insufficient.

From statement 2:

x is a multiple of 3.
Already given that x > 0. So, min value of x can be 3. Then [x] is 3. Then 8*3 = 24 pies. Not enough.
If x is 6 then 48 pies. Enough.
InSufficient.

Combining both gives only x as 3. So 24 pies. Not enough.


Statement C seems to be right....How is B correct answer?


Hey,

I loved this problem. Pretty tricky. Since it is asking if [x] is sufficient, and it says that x is a multipleof 3, the least is 3 and since [x] is the least integer greater than x (it is not mentioned that x is going to be a integer or not), so in this case the least value of [x] when x=3 is 4, which is sufficient.

Hope this helped.
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