BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

data sufficiency from manhattan question bank

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1119
Joined: Fri May 07, 2010 8:50 am
Thanked: 29 times
Followed by:3 members

data sufficiency from manhattan question bank

by diebeatsthegmat » Mon Jul 26, 2010 9:31 pm
hi guy, can you please solve this data sufficiency?

What is the sum of 5 evenly spaced integers in a set?

1. The median of the set of numbers is 0.
2. The range of the numbers in the set is 4.
i solved it and my answer is A however its not the answer and i dont have its explaination
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Mon Jul 26, 2010 9:41 pm
Let X be the first integer and a be the difference.

Sum of evenly spaced integer=x+x+a+x+2a+x+3a+x+4a

stmt1,

Median=x+2a

x+2a=0

x=-2a

-2a-a+0+a+2a=0

sufficient.

stmt2,

Range=(x+4a)-(x)=4a

4a=4

a=1

No info abt x

Insufficient.

IMO A is answer.

Please correct me If I am wrong.
--Anand--
Top
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 am
Thanked: 173 times
Followed by:2 members
GMAT Score:710

by gmatmachoman » Mon Jul 26, 2010 10:25 pm
diebeatsthegmat wrote:hi guy, can you please solve this data sufficiency?

What is the sum of 5 evenly spaced integers in a set?

1. The median of the set of numbers is 0.
2. The range of the numbers in the set is 4.
i solved it and my answer is A however its not the answer and i dont have its explaination

Evenly spaced integers are in Arithmetic Progression, i.e. with a same common difference.

They could be consecutive even or cosecutive odd numbers or succesive numbers

for example, 0, 2, 4, 6 are consequtive even integers (evenly spaced - i.e. having a same common difference -2)

for example, 0, 3, 5, 7 are consequtive odd integers (evenly spaced - i.e. having a same common difference-2)

st 1 :Statement 1: says middle integers is 0.

therefore, 2 integers will be negative and 2 integers will be positive

to exemplify, consider -2,-1, 0, 1, 2

sum =0


another example : -6,-3,0,3,6

for any set of evenly spaced integers with middle number as 0, the sum is zero. so statement 1- sufficient

st 2: The range of the numbers in the set is 4.

case 1:
0,1,2,3,4

Range : (4-0) = 4
Sum : 10

case 2:
4,5,6,7,8
Range : 4
Sum : 30

Inconsistent. Insufficient

Pick A
Top
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Mon Jul 26, 2010 10:55 pm
diebeatsthegmat,

What is OA in question bank?
--Anand--
Top
Senior | Next Rank: 100 Posts
Posts: 55
Joined: Tue Jul 27, 2010 8:37 pm
Thanked: 11 times

by KrazyKarl » Tue Jul 27, 2010 9:39 pm
Everyone's explanations for A makes sense...that's not the official answer?
Top
Legendary Member
Posts: 1119
Joined: Fri May 07, 2010 8:50 am
Thanked: 29 times
Followed by:3 members

by diebeatsthegmat » Wed Jul 28, 2010 5:22 am
KrazyKarl wrote:Everyone's explanations for A makes sense...that's not the official answer?
sorry guys,
A is OA
i was wrong. i also got A- the answer then i checked wrong answer, didnt know how i was. srry
Top
Post new topic Post Reply
• Page 1 of 1