Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
27 Oct 2018, 21:44
2
1
00:00
A
B
C
D
E
Difficulty:
85% (hard)
Question Stats:
41% (01:30) correct 59% (01:43) wrong based on 136 sessions
HideShow timer Statistics
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?
\(\frac{30}{8}\)=3 r 6 Need 3 pies + 6 slices. So, we need 4 full pies
1)Note that this is 'x' not ⌈x⌉. Smallest x is around 2.6. 2x2.6=5.2 2.6=⌈3⌉ isn't enough for 3 pies+ 6 slices Largest x is around 5.9. 2x5.9=11.8 5.9=⌈6⌉ is enough
Insufficient
2) x=0, 3, 6, 9... Insufficient ⌈1⌉⌈4⌉⌈7⌉⌈10⌉
Together x=0, 3, 6, 9...and ⌈x⌉=⌈1⌉⌈4⌉⌈7⌉⌈10⌉ 2x>5 x can't be 0 2x<12 Can't be 6 or larger Only option left is x=3
x=3, therefore ⌈x⌉=4 So we know that number of pies is between 3 and 4. Could be less than, equal to, or greater than 3.6 Insufficient E
EDIT I am wrong btw. I wasn't careful about the original condition saying x>0
Originally posted by philipssonicare on 28 Oct 2018, 00:15.
Last edited by philipssonicare on 28 Oct 2018, 02:21, edited 2 times in total.
Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
Updated on: 28 Oct 2018, 17:16
From statement 1:
\(5<2x<12\) \(2.5<x<6\) 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.
C is the answer.
_________________
If you are not badly hurt, you don't learn. If you don't learn, you don't grow. If you don't grow, you don't live. If you don't live, you don't know your worth. If you don't know your worth, then what's the point?
Originally posted by Afc0892 on 28 Oct 2018, 01:48.
Last edited by Afc0892 on 28 Oct 2018, 17:16, edited 1 time in total.
Re: Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
28 Oct 2018, 17:14
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.
Re: Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
28 Oct 2018, 17:20
jorgetomas9 wrote:
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.
Hi,
From statement 2: It's given that x is a multiple of 3. If x = 3. then Number of pies = 8*3 = 24 pies. Remember x is the number of pies and each pie has 8 slices. So 24 Slices of pie are not enough for 30 people.
If x is 6 or above then the number of slices for 30 would be enough. So both yes or no from statement 2. Hence insufficient.
But on combining both. we get x as 3. only 24 slices. not enough. Hence c is the answer.
_________________
If you are not badly hurt, you don't learn. If you don't learn, you don't grow. If you don't grow, you don't live. If you don't live, you don't know your worth. If you don't know your worth, then what's the point?
Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
28 Oct 2018, 17:27
Afc0892 wrote:
jorgetomas9 wrote:
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.
Hi,
From statement 2: It's given that x is a multiple of 3. If x = 3. then Number of pies = 8*3 = 24 pies. Remember x is the number of pies and each pie has 8 slices. So 24 Slices of pie are not enough for 30 people.
If x is 6 or above then the number of slices for 30 would be enough. So both yes or no from statement 2. Hence insufficient.
But on combining both. we get x as 3. only 24 slices. not enough. Hence c is the answer.
But ⌈x⌉ is not least greater than X?, if X equals 3, therefore ⌈x⌉ should be 4 and 4 * 8 =32 , maybe I am wrong in my interpretation.
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
Re: Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
01 Nov 2018, 22:49
In simple words, we need to check whether x is 4 or greater.
1. x is between 2.5 and 6. It could be 3 or 4 so the answer could be yes or no. 2. Insufficient, easily. Combining, in the range of 2.5<x<6, x=3 is the only case possible for x to be a multiple of 3. Hence, she has 3 pies and can get only 24 slices. So we get NO. Sufficient. C.
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
Thank you for the explanation, however I think that the question is poorly worded since it provides an insufficient explanation of the function ⌈x⌉
I would suggest to amend the text of the question. " If ⌈x⌉ represents the least integer greater than x "
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
Thank you for the explanation, however I think that the question is poorly worded since it provides an insufficient explanation of the function ⌈x⌉
I would suggest to amend the text of the question. " If ⌈x⌉ represents the least integer greater than x "
I agree, based on the current wording if x = 3 then [x] = 4
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
Thank you for the explanation, however I think that the question is poorly worded since it provides an insufficient explanation of the function ⌈x⌉
I would suggest to amend the text of the question. " If ⌈x⌉ represents the least integer greater than x "
Hello
Yes, I think there could be some doubt in the wording: instead of symbolising ⌈x⌉ as 'least integer greater than x', question could have symbolised ⌈x⌉ as 'least integer greater than or equal to x'.
But in either case, answer would still be C only. If we assume ⌈x⌉ to be 'least integer greater than x', then after combining the two statements, x=3 and thus ⌈x⌉ = 4. 4 pies will be sufficient for 30 guests. Answer to the question is a clear YES, and together the two statements are sufficient.
If however, we change the wording of the question to be that ⌈x⌉ means 'least integer greater than or equal to x', then after combining the statements, x=3 and thus ⌈x⌉ is also = 3. 3 pies will NOT be sufficient for 30 guests. Answer to the question is a clear NO, and still together the two statements are sufficient.
⌈x⌉ : This function of x essentially means that x takes the value of the least integer CLOSEST to x, and greater than (or equal to) x: greater only if x is not an integer itself. (I agree that this info is not given very clearly in the question, but I'd suggest to you to learn it anyway)
Note: This is known as the ceiling function of x. The FLOOR function for x, where the brackets are inverted in the shape of an "L" and a mirrored L, would represent the greatest integer less than or equal to x.
Thank you for the explanation, however I think that the question is poorly worded since it provides an insufficient explanation of the function ⌈x⌉
I would suggest to amend the text of the question. " If ⌈x⌉ represents the least integer greater than x "
Hello
Yes, I think there could be some doubt in the wording: instead of symbolising ⌈x⌉ as 'least integer greater than x', question could have symbolised ⌈x⌉ as 'least integer greater than or equal to x'.
But in either case, answer would still be C only. If we assume ⌈x⌉ to be 'least integer greater than x', then after combining the two statements, x=3 and thus ⌈x⌉ = 4. 4 pies will be sufficient for 30 guests. Answer to the question is a clear YES, and together the two statements are sufficient.
If however, we change the wording of the question to be that ⌈x⌉ means 'least integer greater than or equal to x', then after combining the statements, x=3 and thus ⌈x⌉ is also = 3. 3 pies will NOT be sufficient for 30 guests. Answer to the question is a clear NO, and still together the two statements are sufficient.
So in any case, answer would be C only.
Hi,
I don't agree, if " ⌈x⌉ represents the least integer greater than x, and x is greater than 0 " and if (2) " x is a multiple of 3 " this means that x is 3, 6, 9, etc.. and ⌈x⌉ will then be 4 , 7, 10, etc..
So ⌈x⌉ * 8 > 30 , hence (2) is sufficient. We don't need the first statement. Ans = B
Please re-edit the text since statistics on this question are clearly flawed because of the bad wording..
Re: Julie wants to be sure that she has enough pies for each of her
[#permalink]
Show Tags
12 Nov 2018, 15:00
XavierAlexander wrote:
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 \(3\)
Guys, the official answer is: E
Here is the explanation from Manhattan:
Each pie produces 8 slices and Julie needs to feed 30 guests. ⌈x⌉ is defined as an integer, so the question is asking about an integer value of pies. 3 pies would only produce 24 slices, which is not enough. 4 pies will produce 32 slices. Julie will need at least 4 pies to feed all her guests
(1) INSUFFICIENT: Simplify the inequality.
5 < 2x < 12
2.5 < x < 6
x can be anything between 2.5 and 6, giving multiple possible values for ⌈x⌉ . Test Cases to determine whether all values of ⌈x⌉ are at least 4. Keep in mind that x does not have to be an integer, even though ⌈x⌉ does.
Case 1: x = 5.99, ⌈x⌉ = 6. Yes, there are enough pies.
Case 2: x = 2.51, ⌈x⌉ = 3. No, there are not enough pies.
Since there is at least one Yes case and at least one No case, this statement is not sufficient. Eliminate choices (A) and (D).
(2) 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.
Eliminate choices (C) and (E).
The correct answer is (B).
gmatclubot
Re: Julie wants to be sure that she has enough pies for each of her &nbs
[#permalink]
12 Nov 2018, 15:00
close
41% (01:30) correct 
