GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Oct 2018, 10:38

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

10 distinct integers are arranged in ascending order. The range of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49857
10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 13 Mar 2016, 10:22
10
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (01:55) correct 38% (01:51) wrong based on 100 sessions

HideShow timer Statistics

10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range of the 10 numbers?

A. 25
B. 27
C. 30
D. 52
E. 55

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1694
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 14 Mar 2016, 05:23
1
Positions: 1 2 3 4 5 6 7 8 9 10
Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b
y - x = 25
Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.
b - a = 30 --> b = 30 + a
In order to increase the range, we have to maximize the value of 'b'.
'b' can be maximized by taking the max value of 'a'.
From the assumed values, maximum value of 'a' can be 22.
Therefore, b = 30 + 22 = 52
Range = 52 - 0 = 52

Answer: D
Intern
Intern
avatar
Joined: 03 Mar 2014
Posts: 5
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 18 Mar 2016, 03:09
S7-S1 = 25
S10-S4 = 30
S1 = s7 -25
s10 = s4 + 30
S10 - s1 = s4 - s7 + 55 maximum range when s4 - s7 is minimum since s7 > s4, the min. value can be 3 as these are distinct
= 52 answer
Manager
Manager
avatar
B
Joined: 01 Jul 2010
Posts: 62
Location: India
GMAT 1: 660 Q43 V38
GPA: 3.4
GMAT ToolKit User
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 18 Mar 2016, 05:37
x7-x1=25
x10-x4=30

Add the above 2 equation
We want to calculate x10 - x1

(x10 -x1)+x7-x4=55
As the integers are in ascending order
x7 is greater than x4 when the integers are both positive or negative
so x10-x1 cannot be 55 and it has to be less that 55
x7-x4 can be as small as 3 consider 47 for x7 and 44 for x4
The maximum range can be 52 and the answer is D
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6957
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 18 Mar 2016, 05:52
2
Bunuel wrote:
10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range of the 10 numbers?

A. 25
B. 27
C. 30
D. 52
E. 55


Hi,

1) Through avail choices
-->since last 7s range is 30, the range of all 10 is >30.. A,B and C eliminated
--> The range has to be <55 since 55 would be the range if there were 7+7 numbers.. E eliminated
Only D is left

2) Calculation..
first 7s range = 25
last 7s range = 30..
there are 7+7-10=4 in common..
to get max range, give these COMMON integers, 4th-7th, consecutive values..
say the seq= x,-,-,x+22,x+23,x+24,x+25,-,-,x+22+30
so last number= x+52..
range= x+52-x=52..

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
avatar
Joined: 24 May 2013
Posts: 79
GMAT ToolKit User
10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 18 Mar 2016, 09:36
___1-------2------3-----------4----------5----------6----------------7----------8---------9-----------10

1. x................................................................ x+25
2. x.......................(x+22)....(x+23)....(x+24)
3. x...........................y..............................................................................y+30
4. x......................y=x+22......................................................................x+22+30 =x+52

Hence the range can be 52.
D is the answer.
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 30 Mar 2016, 05:59
1
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6957
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 30 Mar 2016, 06:10
1
Chiragjordan wrote:
hey Bunuel just to be clear here if repetition of digits was allowed => range would have been 55 max?


hi Chiragjordan,
you are absolutely correct..
first number could be 1 next 26 and till 9th number all are 26 and 10 th is 56..
Range ofcourse is 55..
While replying to you thought of another Q on it, would post it..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8392
Premium Member
Re: 10 distinct integers are arranged in ascending order. The range of the  [#permalink]

Show Tags

New post 30 Sep 2018, 16:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: 10 distinct integers are arranged in ascending order. The range of the &nbs [#permalink] 30 Sep 2018, 16:30
Display posts from previous: Sort by

10 distinct integers are arranged in ascending order. The range of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.