|
Author |
Message |
|
TAGS:
|
|
|
Verbal GMAT Forum Moderator
Status: Preparing for the another shot...!
Joined: 03 Feb 2011
Posts: 1338
Location: India
Concentration: Finance, Marketing
GMAT 1: 720 Q V
GPA: 3.75
Followers: 69
Kudos [?]:
328
[3] , given: 53
|
For each order, a certain company charges a delivery fee d [#permalink]
 10 Dec 2012, 00:33
3
This post received
KUDOS
Question Stats:
65% (02:24) correct
34% (01:39) wrong based on 72 sessions
For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the order, where d and x are in dollars and d = 3, if 0<x<=100 d = 3 + (x-100)/100, if 100<x<=500 d = 7, if x>500 If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than $499? (1) The delivery fee for one of the two orders was $3. (2) The sum of the delivery fees for the two orders was $10. Need help to tackle such questions under 1.5 mins. source: Gmat Prep
_________________
Prepositional Phrases Clarified|Elimination of BEING| Absolute Phrases Clarified
Rules For Posting
www.Univ-Scholarships.com
Last edited by Bunuel on 10 Dec 2012, 01:15, edited 1 time in total.
Renamed the topic and edited the question.
|
|
|
|
|
|
|
|
|
Director
Joined: 02 Jul 2012
Posts: 790
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 19
Kudos [?]:
277
[0], given: 45
|
Re: For each order [#permalink]
10 Dec 2012, 01:01
1) Obviously insufficient. The other order could have any value. 2) We can easily create a situation for which the value is more than $499. So lets try to create a situation for which the value is lesser than $499 to prove insufficiency. We can see that atleast one package has to be more than $100. To minimize the value of this , the first package has to be worth $100. So, for insufficiency, the second package can be at most only $399 and so "d" can only be a maximum of nearly $6. But in such a case, the toatl will not add up to 10. Hence the second package HAS to be more than $399. Sufficient
_________________
Kudos Please... If my post helped.
Thanks To The Almighty - My GMAT Debrief
My Own CR Question 1|My Own CR Question 2|My Own DS Question 1|My Own DS Question 2|
My Own PS Question 1
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 12116
Followers: 1879
Kudos [?]:
10129
[0], given: 965
|
Re: For each order [#permalink]
10 Dec 2012, 01:11
For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the order, where d and x are in dollars and
d = 3, if 0<x<=100
d = 3 + (x-100)/100, if 100<x<=500
d = 7, if x>500
If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than $499?Notice that the highest charge for the delivery with the second formula is for x=500, thus it equals to d=3+(500-100)/100=$7. (1) The delivery fee for one of the orders was $3. The price of the merchandise for that order is less than or equal to 100, but we know nothing about the second order. Not sufficient. (2) The sum of the delivery fees for the two orders was $10. If the delivery charges for the two orders are $3 and $7, then the price of the second merchandise must be more than or equal to $500, which means that the total price must be greater than $499. Sufficient. Now, if both delivery charges were calculated with the second formula, then we'd have (3+\frac{x_1-100}{100})+(3+\frac{x_2-100}{100})=10 --> x_1+x_2=600>499. So, we have that in both possible cases the total price of the merchandise in the two orders is greater than $499. Sufficient. Answer: B. Hope it's clear.
_________________
NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 12116
Followers: 1879
Kudos [?]:
10129
[1] , given: 965
|
Re: For each order [#permalink]
10 Dec 2012, 01:22
1
This post received
KUDOS
MacFauz wrote: 1) Obviously insufficient. The other order could have any value.
2) We can easily create a situation for which the value is more than $499. So lets try to create a situation for which the value is lesser than $499 to prove insufficiency.
We can see that atleast one package has to be more than $100. To minimize the value of this , the first package has to be worth $100. So, for insufficiency, the second package can be at most only $399 and so "d" can only be a maximum of nearly $6. But in such a case, the toatl will not add up to 10. Hence the second package HAS to be more than $399.
Sufficient Notice that we can have a case when charges for both deliveries are calculated with the second formula, for example x1=$250 and x2=$350, in this case the total price still would be $10.
_________________
NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Senior Manager
Joined: 29 Nov 2012
Posts: 394
Followers: 1
Kudos [?]:
18
[0], given: 313
|
Re: For each order [#permalink]
18 Jan 2013, 03:51
Bunuel wrote: For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the order, where d and x are in dollars and
d = 3, if 0<x<=100
d = 3 + (x-100)/100, if 100<x<=500
d = 7, if x>500
If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than $499?
Notice that the highest charge for the delivery with the second formula is for x=500, thus it equals to d=3+(500-100)/100=$7.
(1) The delivery fee for one of the orders was $3. The price of the merchandise for that order is less than or equal to 100, but we know nothing about the second order. Not sufficient.
(2) The sum of the delivery fees for the two orders was $10. If the delivery charges for the two orders are $3 and $7, then the price of the second merchandise must be more than or equal to $500, which means that the total price must be greater than $499. Sufficient.
Now, if both delivery charges were calculated with the second formula, then we'd have (3+\frac{x_1-100}{100})+(3+\frac{x_2-100}{100})=10 --> x_1+x_2=600>499.
So, we have that in both possible cases the total price of the merchandise in the two orders is greater than $499. Sufficient.
Answer: B.
Hope it's clear. Thanks this was really helpful, I missed out on the second case. where there can be 2 values within the range of d=3
|
|
|
|
|
|
Senior Manager
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 320
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 6
Kudos [?]:
35
[0], given: 46
|
Re: For each order [#permalink]
26 Mar 2013, 06:36
Bunuel wrote: For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the order, where d and x are in dollars and
d = 3, if 0<x<=100
d = 3 + (x-100)/100, if 100<x<=500
d = 7, if x>500
If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than $499?
Notice that the highest charge for the delivery with the second formula is for x=500, thus it equals to d=3+(500-100)/100=$7.
(1) The delivery fee for one of the orders was $3. The price of the merchandise for that order is less than or equal to 100, but we know nothing about the second order. Not sufficient.
(2) The sum of the delivery fees for the two orders was $10. If the delivery charges for the two orders are $3 and $7, then the price of the second merchandise must be more than or equal to $500, which means that the total price must be greater than $499. Sufficient.
Now, if both delivery charges were calculated with the second formula, then we'd have (3+\frac{x_1-100}{100})+(3+\frac{x_2-100}{100})=10 --> x_1+x_2=600>499.
So, we have that in both possible cases the total price of the merchandise in the two orders is greater than $499. Sufficient.
Answer: B.
Hope it's clear. Thanks Its really so helpful.I was confused of the statement 2.Now its clear
|
|
|
|
|
|
Manager
Joined: 12 Dec 2012
Posts: 231
Concentration: Leadership, Marketing
GMAT 1: 540 Q36 V28
GMAT 2: 550 Q39 V27
GMAT 3: 620 Q42 V33
GPA: 2.82
WE: Human Resources (Health Care)
Followers: 1
Kudos [?]:
29
[0], given: 181
|
Re: For each order [#permalink]
14 May 2013, 11:17
Bunuel wrote: [b]Now, if both delivery charges were calculated with the second formula, then we'd have (3+\frac{x_1-100}{100})+(3+\frac{x_2-100}{100})=10 --> x_1+x_2=600>499 can you please clarify this part more? thanks in advance
_________________
My RC Recipe
http://gmatclub.com/forum/the-rc-recipe-149577.html
My Problem Takeaway Template
http://gmatclub.com/forum/the-simplest-problem-takeaway-template-150646.html
|
|
|
|
|
|
Manager
Joined: 24 Apr 2013
Posts: 57
Followers: 0
Kudos [?]:
0
[0], given: 76
|
Re: For each order, a certain company charges a delivery fee d [#permalink]
14 May 2013, 15:55
WOW! I didnt even know where to start i was off and in the end i took a guess and went for B
|
|
|
|
|
|
|
Re: For each order, a certain company charges a delivery fee d
[#permalink]
14 May 2013, 15:55
|
|
|
|
|
|
|
|
|
|
|
close
